International Journal of Fracture Short Title: Int. J. Fract. Publisher: Springer, Dordrecht ISSN: 0376-9429; 1573-2673/e Online: http://link.springer.com/journal/volumesAndIssues/10704 Comments: Journal; No longer indexed Documents Indexed: 809 Publications (2004–2012) References Indexed: 678 Publications with 18,341 References. all top 5 Latest Issues 173, No. 1 (2012) 172, No. 2 (2011) 172, No. 1 (2011) 171, No. 1 (2011) 170, No. 2 (2011) 170, No. 1 (2011) 169, No. 2 (2011) 169, No. 1 (2011) 168, No. 2 (2011) 168, No. 1 (2011) 167, No. 2 (2011) 167, No. 1 (2011) 166, No. 1-2 (2010) 165, No. 2 (2010) 165, No. 1 (2010) 164, No. 2 (2010) 164, No. 1 (2010) 163, No. 1-2 (2010) 162, No. 1-2 (2010) 161, No. 2 (2010) 161, No. 1 (2010) 160, No. 2 (2009) 160, No. 1 (2009) 159, No. 2 (2009) 159, No. 1 (2009) 158, No. 2 (2009) 158, No. 1 (2009) 157, No. 1-2 (2009) 156, No. 2 (2009) 156, No. 1 (2009) 155, No. 2 (2009) 155, No. 1 (2009) 154, No. 1-2 (2008) 153, No. 2 (2008) 153, No. 1 (2008) 152, No. 2 (2008) 152, No. 1 (2008) 151, No. 2 (2008) 151, No. 1 (2008) 150, No. 1-2 (2008) 149, No. 2 (2008) 149, No. 1 (2008) 148, No. 4 (2007) 148, No. 3 (2007) 148, No. 2 (2007) 148, No. 1 (2007) 147, No. 1-4 (2007) 146, No. 4 (2007) 146, No. 3 (2007) 146, No. 1-2 (2007) 145, No. 4 (2007) 145, No. 3 (2007) 145, No. 2 (2007) 145, No. 1 (2007) 144, No. 4 (2007) 144, No. 3 (2007) 144, No. 2 (2007) 144, No. 1 (2007) 143, No. 4 (2007) 143, No. 3 (2007) 143, No. 2 (2007) 143, No. 1 (2007) 142, No. 3-4 (2006) 142, No. 1-2 (2006) 141, No. 3-4 (2006) 141, No. 1-2 (2006) 140, No. 1-4 (2006) 139, No. 3-4 (2006) 139, No. 2 (2006) 139, No. 1 (2006) 138, No. 1-4 (2006) 137, No. 1-4 (2006) 136, No. 1-4 (2005) 135, No. 1-4 (2005) 134, No. 3-4 (2005) 134, No. 2 (2005) 134, No. 1 (2005) 133, No. 4 (2005) 133, No. 3 (2005) 133, No. 2 (2005) 133, No. 1 (2005) 132, No. 4 (2005) 132, No. 3 (2005) 132, No. 2 (2005) 132, No. 1 (2005) 131, No. 4 (2005) 131, No. 3 (2005) 131, No. 2 (2005) 131, No. 1 (2005) 130, No. 4 (2004) 130, No. 3 (2004) 129, No. 4 (2004) 129, No. 3 (2004) 129, No. 2 (2004) 129, No. 1 (2004) 128, No. 1-4 (2004) 127, No. 4 (2004) 127, No. 3 (2004) 127, No. 2 (2004) 127, No. 1 (2004) ...and 4 more Volumes all top 5 Authors 16 Carpinteri, Alberto 15 Lazzarin, Paolo 11 Berto, Filippo 10 Sevostianov, Igor 9 Kotousov, Andrei G. 8 Yosibash, Zohar 7 Lee, Kangyong 7 Paulino, Glaucio H. 7 Pugno, Nicola Maria 7 Yang, Jiashi 7 Zappalorto, Michele 6 Chen, Yizhou 6 Guz, Igor A. 6 Matvienko, Yu. G. 6 Ravi-Chandar, Krishnaswamy 6 Steinmann, Paul 6 Wu, Linzhi 6 Zhang, Chuanzeng 5 Banks-Sills, Leslie 5 Belytschko, Ted Bohdan 5 Das, Subir 5 Fett, Theo 5 Goldstein, Robert V. 5 Gross, Dietmar 5 Kachanov, Mark L. 5 Kim, Yunjae 5 Korsunsky, Alexander M. 5 Menshykov, Oleksandr V. 5 Wang, Xiaodong 5 Zohdi, Tarek I. 4 Alava, Mikko J. 4 Askes, Harm 4 Bouchaud, Elisabeth 4 Dubois, Frédéric 4 Elices, Manuel 4 Feng, Xiqiao 4 Gitman, Inna M. 4 Gorbatikh, Larissa 4 Kaminsky, Anatoly A. 4 Keer, Leon M. 4 Leguillon, Dominique 4 Li, Yongdong 4 Li, Zhong Hua 4 Ma, Li 4 Mai, Yiu-Wing 4 Nairn, John A. 4 Paggi, Marco 4 Walton, Jay R. 4 Wang, Yuesheng 4 Zhang, Xi 3 Ferri Aliabadi, Mohammad Hossien 3 Bahr, Hans-Achim 3 Bahr, Ute 3 Ballarini, Roberto 3 Basu, Sumit 3 Bian, Lichun 3 Bonamy, Daniel 3 Cherepanov, Genady P. 3 Chiaia, Bernardino M. 3 Chiang, Chun-Ron 3 Costabel, Martin 3 Dauge, Monique 3 Esparragoza, Ivan E. 3 Ferretti, Elena 3 Fratzl, Peter 3 Guo, Li-Cheng 3 Herrmann, Hans Jürgen 3 Hild, François 3 Huang, Gan-Yun 3 Karihaloo, Bhushan Lal 3 Kun, Ferenc 3 Kuna, Meinhard 3 Lapusta, Yuri N. 3 Levin, Valery M. 3 Llorca, Javier 3 Lomov, Stepan V. 3 Markenscoff, Xanthippi 3 Marsavina, Liviu 3 Maugin, Gérard A. 3 Mear, Mark E. 3 Menouillard, Thomas 3 Michot, Gérard 3 Mishuris, Gennady S. 3 Morel, Stéphane 3 Movchan, Alexander B. 3 Muller, Ralf 3 Noguchi, Hiroshi 3 Nukala, Phani Kumar V. V. 3 Omer, Netta 3 Papadopoulos, George A. 3 Ponson, Laurent 3 Priel, Elad 3 Puzzi, Simone 3 Rao, Boggarapu Nageswara 3 Ritchie, Robert O. 3 Rizzi, Gabriele 3 Rosakis, Ares J. 3 Roux, Stéphane G. 3 Ryvkin, Michael 3 Sadowski, Tomasz ...and 1,177 more Authors all top 5 Fields 806 Mechanics of deformable solids (74-XX) 13 General and overarching topics; collections (00-XX) 6 Measure and integration (28-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Statistics (62-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 545 Publications have been cited 3,218 times in 2,354 Documents Cited by ▼ Year ▼ Studies of dynamic crack propagation and crack branching with peridynamics. Zbl 1425.74416 Ha, Youn Doh; Bobaru, Florin 163 2010 A time-discrete model for dynamic fracture based on crack regularization. Zbl 1283.74055 Bourdin, Blaise; Larsen, Christopher J.; Richardson, Casey L. 101 2011 Crack nucleation in a peridynamic solid. Zbl 1425.74045 Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 79 2010 Modeling complex crack problems using the numerical manifold method. Zbl 1273.74461 Ma, G. W.; An, X. M.; Zhang, H. H.; Li, L. X. 75 2009 Prediction of crack paths in a quenched glass plate by using peridynamic theory. Zbl 1273.74455 Kilic, Bahattin; Madenci, Erdogan 43 2009 Numerical simulation of dynamic fracture using finite elements with embedded discontinuities. Zbl 1273.74422 Armero, Francisco; Linder, Christian 42 2009 Predicting crack propagation with peridynamics: a comparative study. Zbl 1283.74052 Agwai, Abigail; Guven, Ibrahim; Madenci, Erdogan 42 2011 Application of particle methods to static fracture of reinforced concrete structures. Zbl 1197.74175 Rabczuk, T.; Belytschko, T. 39 2006 Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074 Rajagopal, K. R.; Walton, J. R. 39 2011 Fracture analysis of magnetoelectroelastic solids by using path-independent integrals. Zbl 1196.74217 Tian, W. Y.; Rajapakse, R. K. N. D. 37 2005 Gradient elasticity theories in statics and dynamics - a unification of approaches. Zbl 1197.74019 Askes, Harm; Aifantis, Elias C. 34 2006 Cohesive models for damage evolution in laminated composites. Zbl 1196.74231 Yang, Qingda; Cox, Brian 34 2005 Failure criteria for brittle elastic materials. Zbl 1187.74212 Yosibash, Zohar; Bussiba, Arie; Gilad, Ilan 27 2004 Finite element techniques for dynamic crack analysis in piezoelectrics. Zbl 1196.74264 Enderlein, M.; Ricoeur, A.; Kuna, M. 27 2005 Toughness-dominated hydraulic fracture with leak-off. Zbl 1148.74336 Bunger, Andrew P.; Detournay, Emmanuel; Garagash, Dmitry I. 26 2005 A phantom node formulation with mixed mode cohesive law for splitting in laminates. Zbl 1400.74106 van der Meer, F. P.; Sluys, L. J. 25 2009 A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization. Zbl 1198.74008 Miehe, Christian; Gürses, Ercan; Birkle, Manuel 25 2007 The strip dielectric breakdown model. Zbl 1196.74235 Zhang, Tong-Yi; Zhao, Ming-Hao; Gao, Cun-Fa 23 2005 Application of extended Mohr-Coulomb criterion to ductile fracture. Zbl 1273.74494 Bai, Yuanli; Wierzbicki, Tomasz 23 2010 The representative volume size in static and dynamic micro-macro transitions. Zbl 1196.74167 Gitman, Inna M.; Askes, Harm; Aifantis, Elias C. 22 2005 Modelling cohesive crack growth using a two-step finite element-scaled boundary finite element coupled method. Zbl 1197.74189 Yang, Z. J.; Deeks, A. J. 21 2007 Elasticity theories with higher-order gradients of inertia and stiffness for the modelling of wave dispersion in laminates. Zbl 1264.74121 Bennett, Terry; Gitman, Inna M.; Askes, Harm 20 2007 Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method. Zbl 1198.74068 Daphalapurkar, Nitin P.; Lu, Hongbing; Coker, Demir; Komanduri, Ranga 20 2007 A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements. Zbl 1273.74531 Dias-da-Costa, D.; Alfaiate, J.; Sluys, L. J.; Júlio, E. 20 2010 Stress intensity factor measurements from digital image correlation: Post-processing and integrated approaches. Zbl 1342.74144 Roux, Stéphane; Hild, François 19 2006 Distributed dislocation approach for cracks in couple-stress elasticity: shear modes. Zbl 1260.74007 Gourgiotis, P. A.; Georgiadis, H. G. 18 2007 Time dependent crack tip enrichment for dynamic crack propagation. Zbl 1425.74442 Menouillard, Thomas; Song, Jeong-Hoon; Duan, Qinglin; Belytschko, Ted 17 2010 Determination of thermal stress intensity factors for an interface crack in a graded orthotropic coating-substrate structure. Zbl 1196.74060 Chen, Jian 17 2005 Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element. Zbl 1187.74246 Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 16 2004 Application of fracture mechanics concepts to hierarchical biomechanics of bone and bone-like materials. Zbl 1112.74487 Gao, Huajian 16 2006 Anisotropic self-affine properties of experimental fracture surfaces. Zbl 1203.74009 Ponson, L.; Bonamy, D.; Auradou, H.; Mourot, G.; Morel, Stephane; Bouchaud, E.; Guillot, C.; Hulin, J. P. 16 2006 Analysis of fractures in 3D piezoelectric media by a weakly singular integral equation method. Zbl 1264.74235 Rungamornrat, Jaroon; Mear, Mark E. 15 2008 Behaviour of voids in a shear field. Zbl 1294.74060 Tvergaard, Viggo 15 2009 Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface. II: Transient problem. Zbl 1187.74178 Guo, Li Cheng; Wu, Lin Zhi; Zeng, Tao; Ma, Li 15 2004 Two collinear unequal cracks in a poled piezoelectric plane: mode I case solved by a new approach of real fundamental solutions. Zbl 1273.74458 Li, Yong-Dong; Lee, Kang Yong 15 2010 An augmented finite element method for modeling arbitrary discontinuities in composite materials. Zbl 1273.74540 Ling, Daosheng; Yang, Qingda; Cox, Brian 15 2009 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073 Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 15 2011 Brittle failures at rounded V-notches: a finite fracture mechanics approach. Zbl 1306.74045 Carpinteri, Alberto; Cornetti, Pietro; Sapora, Alberto 15 2011 An anti-plane crack perpendicular to the weak/micro-discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities. Zbl 1264.74219 Li, Yong-Dong; Lee, Kang Yong 14 2007 A failure criterion for brittle elastic materials under mixed-mode loading. Zbl 1197.74149 Yosibash, Zohar; Priel, Elad; Leguillon, Dominique 14 2006 Fracture analysis of a penny-shaped magnetically dielectric crack in a magnetoelectroelastic material. Zbl 1198.74070 Feng, W. J.; Su, R. K. L.; Pan, E. 14 2007 Linear micropolar elastic crack-tip fields under mixed mode loading conditions. Zbl 1187.74171 Diegele, Eberhard; Elsäßer, Rainer; Tsakmakis, Charalampos 14 2004 Three-dimensional fracture analysis of FGM coatings under thermomechanical loading. Zbl 1196.74232 Yildirim, B.; Dag, S.; Erdogan, F. 14 2005 Application of invariant integrals to the problems of defect identification. Zbl 1237.74035 Goldstein, Robert V.; Shifrin, Efim I.; Shushpannikov, Pavel S. 14 2007 Dynamic crack propagation analysis of orthotropic media by the extended finite element method. Zbl 1273.74467 Motamedi, D.; Mohammadi, S. 14 2010 Numerical analysis of plane cracks in strain-gradient elastic materials. Zbl 1197.74089 Akarapu, S.; Zbib, Hussein M. 13 2006 Anti-plane transient fracture analysis of the functionally gradient elastic bi-material weak/infinitesimal-discontinuous interface. Zbl 1197.74148 Yongdong, Li; Wei, Tan; Hongcai, Zhang 13 2006 Crack shielding and amplification due to multiple microcracks interacting with a macrocrack. Zbl 1198.74075 Loehnert, Stefan; Belytschko, Ted 13 2007 Local strain energy to assess the static failure of U-notches in plates under mixed mode loading. Zbl 1198.74071 Gómez, F. J.; Elices, M.; Berto, F.; Lazzarin, P. 13 2007 Electrostatic tractions at crack faces and their influence on the fracture mechanics of piezoelectrics. Zbl 1308.74050 Ricoeur, A.; Kuna, M. 13 2009 On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: plane deformation. Zbl 1187.74207 Wang, Yue-Sheng; Huang, Gan-Yun; Gross, Dietmar 13 2004 A note on the Gauss-Jacobi quadrature formulae for singular integral equations of the second kind. Zbl 1187.65138 Ma, Lifeng; Korsunsky, Alexander M. 13 2004 A fracture criterion for blunted V-notched samples. Zbl 1187.74174 Gómez, F. J.; Elices, M. 13 2004 Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1187.74080 Omer, Netta; Yosibash, Zohar; Costabel, Martin; Dauge, Monique 13 2004 Crack in a lattice waveguide. Zbl 1425.74444 Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 13 2010 Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. Zbl 1196.74198 Lazzarin, P.; Berto, F. 13 2005 Interaction integrals for fracture analysis of functionally graded magnetoelectroelastic materials. Zbl 1273.74479 Rao, B. N.; Kuna, M. 13 2008 An XFEM/spectral element method for dynamic crack propagation. Zbl 1283.74096 Liu, Z. L.; Menouillard, T.; Belytschko, T. 13 2011 Stress intensity factor analysis of an interface crack between dissimilar anisotropic materials under thermal stress using the finite element analysis. Zbl 1264.74077 Nagai, Masaki; Ikeda, Toru; Miyazaki, Noriyuki 12 2007 Contact interaction of crack faces under oblique incidence of a harmonic wave. Zbl 1197.74118 Menshykov, Oleksandr; Guz, Igor 12 2006 Theory of dynamic crack branching in brittle materials. Zbl 1197.74111 Katzav, E.; Adda-Bedia, M.; Arias, R. 12 2007 The conservative \(M\)-integral for thermal-elastic problems. Zbl 1187.74163 Banks-Sills, Leslie; Dolev, Orly 12 2004 Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface. I: Static problem. Zbl 1187.74177 Guo, Li Cheng; Wu, Lin Zhi; Ma, Li; Zeng, Tao 12 2004 Integral equations and nonlocal damage theory: a numerical implementation using the BDEM. Zbl 1308.74158 Mallardo, V. 11 2009 T-stress in orthotropic functionally graded materials: Lekhnitskii and Stroh formalisms. Zbl 1187.74183 Kim, Jeong-Ho; Paulino, Glaucio H. 11 2004 Combined analytical and numerical solution of 2D interface corner configurations between dissimilar piezoelectric materials. Zbl 1187.74200 Scherzer, M.; Kuna, M. 11 2004 The general problem for an arbitrarily oriented crack in a FGM layer. Zbl 1187.74190 Long, X.; Delale, F. 11 2004 A note on \(T\)-stress determination using dislocation arrays. Zbl 1196.74058 Broberg, K. B. 11 2005 Deformation, fracture, and fragmentation in brittle geologic solids. Zbl 1425.74355 Clayton, J. D. 11 2010 On the asymptotic stress field in angularly nonhomogeneous materials. Zbl 1196.74059 Carpinteri, Alberto; Paggi, Marco 11 2005 3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces. Zbl 1273.74469 Mykhas’kiv, Viktor; Stankevych, Volodymyr; Zhbadynskyi, Igor; Zhang, Chuanzeng 11 2009 On the path independency of the point-wise \(J\) integral in three-dimensions. Zbl 1197.74122 Omer, Netta; Yosibash, Zohar 10 2005 Fracture parameters of a penny-shaped crack at the interface of a piezoelectric bi-material system. Zbl 1197.74134 Tian, W. Y.; Rajapakse, R. K. N. D. 10 2006 Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids. Zbl 1198.74024 Sladek, Jan; Sladek, V.; Zhang, Ch.; Solek, P.; Pan, E. 10 2007 Three-dimensional linear elastic distributions of stress and strain energy density ahead of V-shaped notches in plates of arbitrary thickness. Zbl 1187.74164 Berto, Filippo; Lazzarin, Paolo; Wang, Chun Hui 10 2004 Dynamic stress intensity factor of interfacial finite cracks in orthotropic materials. Zbl 1196.74072 Lira-Vergara, E.; Rubio-Gonzalez, C. 10 2005 On the dynamics of necking and fragmentation–II. Effect of material properties, geometrical constraints and absolute size. Zbl 1419.74037 Zhang, H.; Ravi-Chandar, K. 10 2008 Modeling of cohesive crack growth using an adaptive mesh refinement via the modified-SPR technique. Zbl 1273.74454 Khoei, A. R.; Moslemi, H.; Majd Ardakany, K.; Barani, O. R.; Azadi, H. 10 2009 Modeling of cohesive crack growth in partially saturated porous media; a study on the permeability of cohesive fracture. Zbl 1282.74084 Barani, O. R.; Khoei, A. R.; Mofid, M. 10 2011 The influence of the cohesive process zone in hydraulic fracturing modelling. Zbl 1282.74081 Sarris, E.; Papanastasiou, P. 10 2011 In-plane and out-of-plane stress field solutions for V-notches with end holes. Zbl 1283.74018 Zappalorto, Michele; Lazzarin, Paolo 10 2011 Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Zbl 1308.74033 Wünsche, M.; Zhang, Ch.; Sladek, J.; Sladek, V.; Hirose, S.; Kuna, M. 9 2009 Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method. Zbl 1197.74043 Yosibash, Zohar; Omer, Netta; Costabel, Martin; Dauge, Monique 9 2005 An anti-plane crack in a piezoelectric semiconductor. Zbl 1197.74145 Yang, Jiashi 9 2005 The effect of frequency in the problem of interface crack under harmonic loading. Zbl 1198.74076 Menshykov, Oleksandr V.; Menshykov, Vasyl A.; Guz, Igor A. 9 2007 Mode III fracture of a magnetoelectroelastic layer: exact solution and discussion of the crack face electromagnetic boundary conditions. Zbl 1197.74140 Wang, B.-L.; Han, J.-C.; Mai, Y.-W. 9 2006 Mixed mode cohesive law. Zbl 1197.74105 Högberg, J. L. 9 2006 A multi-stage return algorithm for solving the classical damage component of constitutive models for rocks, ceramics, and other rock-like media. Zbl 1425.74316 Brannon, R. M.; Leelavanichkul, S. 9 2010 3D point force solution for a permeable penny-shaped crack embedded in an infinite transversely isotropic piezoelectric medium. Zbl 1196.74181 Chen, W. Q.; Lim, C. W. 9 2005 Variational design sensitivity analysis in the context of structural optimization and configurational mechanics. Zbl 1160.74037 Materna, Daniel; Barthold, Franz-Joseph 9 2007 Symmetric edge cracks in an orthotropic strip under normal loading. Zbl 1273.74437 Das, S.; Chakraborty, S.; Srikanth, N.; Gupta, M. 9 2008 Stress intensity factor of an edge crack in bonded orthotropic materials. Zbl 1283.74012 Das, S.; Mukhopadhyay, S.; Prasad, R. 9 2011 Analytical study of the elastic-plastic stress fields ahead of parabolic notches under antiplane shear loading. Zbl 1264.74252 Zappalorto, M.; Lazzarin, P. 8 2007 Fracture toughness of two-dimensional cellular material with periodic microstructure. Zbl 1264.74221 Lipperman, Fabian; Ryvkin, Michael; Fuchs, Moshe B. 8 2007 Mixed mode failure criteria for brittle elastic V-notched structures. Zbl 1198.76139 Priel, Elad; Bussiba, Arie; Gilad, Ilan; Yosibash, Zohar 8 2007 Modeling of crack growth through particulate clusters in brittle matrix by symmetric-Galerkin boundary element method. Zbl 1197.74190 Kitey, R.; Phan, A.-V.; Tippur, H. V.; Kaplan, T. 8 2006 Failure criteria for linear elastic materials with U-notches. Zbl 1197.74101 Gómez, F. J.; Guinea, G. V.; Elices, M. 8 2006 Dynamic fracture mechanics study of an electrically impermeable mode III crack in a transversely isotropic piezoelectric material under pure electric load. Zbl 1197.74097 Chen, Z. T. 8 2006 Evolution equation of moving defects: dislocations and inclusions. Zbl 1203.74131 Markenscoff, Xanthippi 8 2010 On Elastic Compliances of Interfacial Cracks. Zbl 1187.74175 Gorbatikh, Larissa 8 2004 Thermoelastic analysis for an opening crack in an orthotropic material. Zbl 1306.74056 Zhong, XianCi; Wu, Bing 5 2012 A non-singular boundary integral formula for frequency domain analysis of the dynamic \(T\)-stress. Zbl 1306.74021 Phan, A.-V. 3 2012 A revised virtual crack closure technique for physically consistent fracture mode partitioning. Zbl 1306.74062 Valvo, Paolo S. 2 2012 Gradient elastic stress analysis for anisotropic bimaterial interface with arbitrarily oriented crack. Zbl 1306.74019 Kwong, Man Ting; Gitman, Inna M. 1 2012 A time-discrete model for dynamic fracture based on crack regularization. Zbl 1283.74055 Bourdin, Blaise; Larsen, Christopher J.; Richardson, Casey L. 101 2011 Predicting crack propagation with peridynamics: a comparative study. Zbl 1283.74052 Agwai, Abigail; Guven, Ibrahim; Madenci, Erdogan 42 2011 Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. Zbl 1283.74074 Rajagopal, K. R.; Walton, J. R. 39 2011 Simulation of fracture in heterogeneous elastic materials with cohesive zone models. Zbl 1283.74073 Prechtel, M.; Ronda, P. Leiva; Janisch, R.; Hartmaier, A.; Leugering, G.; Steinmann, P.; Stingl, M. 15 2011 Brittle failures at rounded V-notches: a finite fracture mechanics approach. Zbl 1306.74045 Carpinteri, Alberto; Cornetti, Pietro; Sapora, Alberto 15 2011 An XFEM/spectral element method for dynamic crack propagation. Zbl 1283.74096 Liu, Z. L.; Menouillard, T.; Belytschko, T. 13 2011 Modeling of cohesive crack growth in partially saturated porous media; a study on the permeability of cohesive fracture. Zbl 1282.74084 Barani, O. R.; Khoei, A. R.; Mofid, M. 10 2011 The influence of the cohesive process zone in hydraulic fracturing modelling. Zbl 1282.74081 Sarris, E.; Papanastasiou, P. 10 2011 In-plane and out-of-plane stress field solutions for V-notches with end holes. Zbl 1283.74018 Zappalorto, Michele; Lazzarin, Paolo 10 2011 Stress intensity factor of an edge crack in bonded orthotropic materials. Zbl 1283.74012 Das, S.; Mukhopadhyay, S.; Prasad, R. 9 2011 Analysis and computations of oscillating crack propagation in a heated strip. Zbl 1282.74079 Menouillard, Thomas; Belytschko, Ted 8 2011 Simulation of dynamic fracture with the material point method using a mixed J-integral and cohesive law approach. Zbl 1283.74053 Bardenhagen, Scott G.; Nairn, John A.; Lu, Hongbing 8 2011 Fracture of a finite piezoelectric layer with a penny-shaped crack. Zbl 1306.74054 Wang, B. L.; Sun, Y. G.; Zhu, Y. 8 2011 An enrichment based new criterion for the simulation of multiple interacting cracks using element-free Galerkin method. Zbl 1283.74099 Singh, I. V.; Mishra, B. K.; Pant, Mohit 7 2011 Steady-state crack growth in rubber-like solids. Zbl 1283.74085 Kroon, Martin 7 2011 Dynamic response of interfacial finite cracks in orthotropic materials subjected to concentrated loads. Zbl 1283.74075 Rubio-Gonzalez, C.; Lira-Vergara, E. 6 2011 Equilibrium state of mode-I sub-interfacial crack growth in bi-materials. Zbl 1283.74082 Zhuang, Z.; Cheng, B. B. 6 2011 Generalised stress intensity factors for rounded notches in plates under in-plane shear loading. Zbl 1283.74014 Lazzarin, P.; Zappalorto, M.; Berto, F. 5 2011 Monte Carlo simulation of micro-cracking in polysilicon MEMS exposed to shocks. Zbl 1282.74078 Mariani, Stefano; Martini, Roberto; Ghisi, Aldo; Corigliano, Alberto; Simoni, Barbara 4 2011 A hybrid experimental/numerical technique to extract cohesive fracture properties for mode-I fracture of quasi-brittle materials. Zbl 1283.74060 Gain, Arun L.; Carroll, Jay; Paulino, Glaucio H.; Lambros, John 4 2011 Probabilistic fracture mechanics by the boundary element method. Zbl 1283.74061 Huang, X.; Aliabadi, M. H. 4 2011 A novel singular finite element on mixed-mode bimaterial interfacial cracks with arbitrary crack surface tractions. Zbl 1306.74060 Hu, X. F.; Yao, W. A. 4 2011 Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains. Zbl 1283.74017 Yosibash, Zohar; Shannon, Samuel; Dauge, Monique; Costabel, Martin 3 2011 Characteristic length of damage localization in rubber. Zbl 1283.74077 Volokh, K. Y. 3 2011 Two-parameter fracture criterion \((K_{\rho,c}-T_{ef,c})\) based on notch fracture mechanics. Zbl 1283.74067 Meliani, M. Hadj; Matvienko, Y. G.; Pluvinage, G. 2 2011 On the dynamic behavior of a piezoelectric-elastic laminate with a crack in the piezoelectric material under electro-mechanical loads. Zbl 1283.74080 Zhang, Huizhan; Zhao, Xiaohua; Su, Jianxin 2 2011 Determination of second-order term coefficients for the inclined crack in orthotropic plate using singular finite elements. Zbl 1283.74015 Lim, Won-Kyun 2 2011 On the elastic compliance of a circular hole with two symmetric radial cracks initiated at its boundary. Zbl 1283.74071 Picazo, Mario; Sevostianov, Igor 2 2011 Coplanar perturbation of a crack lying on the mid-plane of a plate. Zbl 1283.74062 Legrand, Laurène; Patinet, Sylvain; Leblond, Jean-Baptiste; Frelat, Joël; Lazarus, Véronique; Vandembroucq, Damien 2 2011 Theoretical model for roughness induced opening of cracks subjected to compression and shear loading. Zbl 1306.74049 Kotousov, Andrei; Neto, Luiz Bortolan; Rahman, Sheik S. 2 2011 Stress intensity factors for interface cracks between orthotropic and monoclinic material. Zbl 1282.74030 Banks-Sills, Leslie; Ikeda, Toru 1 2011 An approximate solution for toughness-dominated near-surface hydraulic fractures. Zbl 1283.74065 Mathias, Simon A.; Fallah, Arash S.; Louca, Luke A. 1 2011 A COD fracture model of ferroelectric ceramics with applications in electric field induced fatigue crack growth. Zbl 1283.74058 Fang, Daining; Zhang, Yihui; Mao, Guanzhong 1 2011 Pre-cracking behaviour in the single cantilever beam adhesion test. Zbl 1283.74041 Chauffaille, S.; Jumel, J.; Shanahan, M. E. R. 1 2011 Analytical solution for propagation of hydraulic fracture with Barenblatt’s cohesive tip zone. Zbl 1283.74069 Mokryakov, Vyacheslav 1 2011 Micromechanical modeling and numerical simulation of chain-mail armor. Zbl 1283.74087 Mseis, G. N.; Zohdi, T. I. 1 2011 Generalized crack closure analysis for elements with arbitrarily-placed side nodes and consistent nodal forces. Zbl 1283.74097 Nairn, John A. 1 2011 Identification of damage and cracking behaviours based on energy dissipation mode analysis in a quasi-brittle material using digital image correlation. Zbl 1283.74051 Leplay, Paul; Réthoré, Julien; Meille, Sylvain; Baietto, Marie-Christine 1 2011 New formula of experimental stress intensity factor evaluation by caustics. Zbl 1283.74016 Papadopoulos, G. A. 1 2011 Fictitious notch rounding concept applied to V-notches with end holes under mode I loading. Zbl 1283.74054 Berto, Filippo; Zappalorto, Michele 1 2011 Dimensional analysis approach to study snap back-to-softening-to-ductile transitions in lightly reinforced quasi-brittle materials. Zbl 1306.74057 Corrado, M.; Cadamuro, E.; Carpinteri, A. 1 2011 The effect of surface stresses on the critical debonding stress around nanoparticles. Zbl 1306.74053 Salviato, Marco; Zappalorto, Michele; Quaresimin, Marino 1 2011 Wave-crack interaction in finite elastic bodies. Zbl 1306.74050 Lalegname, A.; Sändig, A.-M. 1 2011 General size effect on strength of bimaterial quasibrittle structures. Zbl 1306.74058 Le, Jia-Liang 1 2011 Stress intensity factor of an edge crack in composite media. Zbl 1306.74018 Das, S.; Prasad, R.; Mukhopadhyay, S. 1 2011 Studies of dynamic crack propagation and crack branching with peridynamics. Zbl 1425.74416 Ha, Youn Doh; Bobaru, Florin 163 2010 Crack nucleation in a peridynamic solid. Zbl 1425.74045 Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 79 2010 Application of extended Mohr-Coulomb criterion to ductile fracture. Zbl 1273.74494 Bai, Yuanli; Wierzbicki, Tomasz 23 2010 A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements. Zbl 1273.74531 Dias-da-Costa, D.; Alfaiate, J.; Sluys, L. J.; Júlio, E. 20 2010 Time dependent crack tip enrichment for dynamic crack propagation. Zbl 1425.74442 Menouillard, Thomas; Song, Jeong-Hoon; Duan, Qinglin; Belytschko, Ted 17 2010 Two collinear unequal cracks in a poled piezoelectric plane: mode I case solved by a new approach of real fundamental solutions. Zbl 1273.74458 Li, Yong-Dong; Lee, Kang Yong 15 2010 Dynamic crack propagation analysis of orthotropic media by the extended finite element method. Zbl 1273.74467 Motamedi, D.; Mohammadi, S. 14 2010 Crack in a lattice waveguide. Zbl 1425.74444 Slepyan, Leonid I.; Movchan, Alexander B.; Mishuris, Gennady S. 13 2010 Deformation, fracture, and fragmentation in brittle geologic solids. Zbl 1425.74355 Clayton, J. D. 11 2010 A multi-stage return algorithm for solving the classical damage component of constitutive models for rocks, ceramics, and other rock-like media. Zbl 1425.74316 Brannon, R. M.; Leelavanichkul, S. 9 2010 Evolution equation of moving defects: dislocations and inclusions. Zbl 1203.74131 Markenscoff, Xanthippi 8 2010 Modelling crack closure for an interface crack under harmonic loading. Zbl 1273.74465 Menshykova, Maryna V.; Menshykov, Oleksandr V.; Guz, Igor A. 8 2010 Phase field simulation of domain structures in cracked ferroelectrics. Zbl 1426.74265 Xu, Bai-Xiang; Schrade, David; Gross, Dietmar; Mueller, Ralf 7 2010 Elasto-plastic materials with lattice defects modeled by second order deformations with non-zero curvature. Zbl 1203.74021 Cleja-Ţigoiu, Sanda 7 2010 Weakly nonlinear fracture mechanics: Experiments and theory. Zbl 1425.74439 Bouchbinder, Eran; Livne, Ariel; Fineberg, Jay 7 2010 On higher-order terms in the crack tip stress field. Zbl 1273.74110 Berto, F.; Lazzarin, P. 7 2010 Thermo-mechanical behavior of a viscoelastic FGMs coating containing an interface crack. Zbl 1273.74500 Cheng, Z. Q.; Meguid, S. A.; Zhong, Z. 7 2010 Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion. Zbl 1273.74487 Zappalorto, Michele; Lazzarin, Paolo; Filippi, Stefano 7 2010 A numerical study of arterial media dissection processes. Zbl 1203.76183 Ferrara, A.; Pandolfi, A. 6 2010 Perturbation of mode III interfacial cracks. Zbl 1203.74132 Piccolroaz, A.; Mishuris, G.; Movchan, A. B. 6 2010 Criterion for initiation of cracks under mixed-mode I + III loading. Zbl 1426.74037 Lin, Bisen; Mear, M. E.; Ravi-Chandar, K. 6 2010 A comparison of different approaches in the multi-scale computation of configurational forces. Zbl 1203.74149 Ricker, Sarah; Mergheim, Julia; Steinmann, Paul; Müller, Ralf 6 2010 Modeling dynamic failure in rubber. Zbl 1425.74432 Trapper, P.; Volokh, K. Y. 6 2010 On the dynamics of localization and fragmentation-IV. Expansion of al 6061-O tubes. Zbl 1426.74025 Zhang, H.; Ravi-Chandar, K. 5 2010 Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials. Zbl 1273.74482 Sevostianov, Igor; Kachanov, Mark 5 2010 Two-dimensional analysis of anisotropic crack problems using coupled meshless and fractal finite element method. Zbl 1273.74477 Rajesh, K. N.; Rao, B. N. 5 2010 Length scales and size distributions in dynamic fragmentation. Zbl 1425.74350 Grady, Dennis E. 4 2010 Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches. Zbl 1273.74481 Savruk, Mykhaylo P.; Kazberuk, Andrzej 4 2010 Transverse singular effects in V-shaped notches stressed in mode II. Zbl 1273.74447 Harding, Steven; Kotousov, Andrei; Lazzarin, Paolo; Berto, Filippo 4 2010 Dynamic fragmentation of laser shock-melted tin: experiment and modelling. Zbl 1425.74011 de Rességuier, T.; Signor, L.; Dragon, A.; Roy, G. 3 2010 Spall fracture: Methodological aspects, mechanisms and governing factors. Zbl 1425.74431 Kanel, G. I. 3 2010 A grain-scale study of spall in brittle materials. Zbl 1426.74259 Foulk, James W.; Vogler, Tracy J. 3 2010 Evaluation of the T-stress in branch crack problem. Zbl 1273.74433 Chen, Y. Z.; Lin, X. Y. 3 2010 On absence of quantitative correlations between strength and stiffness in microcracking materials. Zbl 1273.74429 Caiulo, Anthony; Kachanov, Mark 3 2010 Dynamic fragmentation process in concrete under impact and spalling tests. Zbl 1425.74041 Forquin, P.; Erzar, B. 2 2010 Supersonic cracks in lattice models. Zbl 1425.74415 Guozden, T. M.; Jagla, E. A.; Marder, M. 2 2010 A micromechanical constitutive model for dynamic damage and fracture of ductile materials. Zbl 1426.74044 Jacques, N.; Czarnota, C.; Mercier, S.; Molinari, A. 2 2010 Crack propagation in brittle heterogeneous solids: Material disorder and crack dynamics. Zbl 1425.74425 Ponson, Laurent; Bonamy, Daniel 2 2010 The shielding effects of the crack-tip plastic zone. Zbl 1273.74526 Zhu, P.; Yang, L.; Li, Z.; Sun, J. 2 2010 An integrated cohesive/overlapping crack model for the analysis of flexural cracking and crushing in RC beams. Zbl 1273.74430 Carpinteri, Alberto; Corrado, Mauro; Paggi, Marco 2 2010 On contact zone models for an electrically limited permeable interface crack in a piezoelectric bimaterial. Zbl 1273.74444 Govorukha, Vladimir; Kamlah, Marc 2 2010 Non-local theory solution of a mode-I crack in a piezoelectric/piezomagnetic composite material plane. Zbl 1273.74488 Zhang, Pei-Wei; Zhou, Zhen-Gong; Wu, Lin-Zhi 2 2010 On T-stresses near V-notches. Zbl 1273.74425 Ayatollahi, M. R.; Dehghany, M. 2 2010 Evolution of anodic stress corrosion cracking in a coated material. Zbl 1426.74258 Bjerkén, C.; Ortiz, M. 1 2010 Driving forces on phase boundaries: “The Eshelby principle for an interface”. Zbl 1426.74042 Markenscoff, Xanthippi 1 2010 On path-independent integrals within the linear theory of elasticity. Zbl 1203.74057 Kienzler, R.; Rohde, L.; Schröder, R. 1 2010 Dual approach in non-linear fracture mechanics. Zbl 1203.74135 Stolz, Claude 1 2010 Influence of anisotropy (crystallographic and microstructural) on spallation in zr, ta, HY-100 steel, and 1080 eutectoid steel. Zbl 1426.74097 Gray, G. T. III; Bourne, N. K.; Vecchio, K. S.; Millett, J. C. F. 1 2010 Impact damage in layered glass. Zbl 1425.74428 Bless, Stephan; Chen, Tiffany 1 2010 Dynamic delamination of patterned thin films: a numerical study. Zbl 1425.74308 Tran, Phuong; Kandula, Soma Sekhar V.; Geubelle, Philippe H.; Sottos, Nancy R. 1 2010 Micromechanisms of ductile fracturing of DH-36 steel plates under impulsive loads and influence of polyurea reinforcing. Zbl 1425.74354 Amini, M. R.; Nemat-Nasser, S. 1 2010 ...and 445 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,786 Authors 28 Zhang, Chuanzeng 26 Lee, Kangyong 25 Sevostianov, Igor 23 Li, Yongdong 22 Rabczuk, Timon 19 Bui, Tinh Quoc 19 Zhao, Minghao 18 Askes, Harm 18 Du, Qiang 17 Rajagopal, Kumbakonam Ramamani 17 Sladek, Jan 17 Sladek, Vladimir 17 Zappalorto, Michele 16 Carpinteri, Alberto 16 Lazzarin, Paolo 16 Mishuris, Gennady S. 16 Waisman, Haim 15 Fan, CuiYing 15 Guz, Igor A. 14 Guo, Li-Cheng 14 Tian, Xiaochuan 14 Zheng, Hong 14 Zhong, Xian-Ci 13 Lipton, Robert P. 13 Menshykov, Oleksandr V. 13 Steinmann, Paul 12 Bhargava, Raj Rani 12 Chen, Yizhou 12 Chen, Zengtao 12 Li, Shaofan 12 Sluys, Lambertus Johannes 12 Yosibash, Zohar 11 Berto, Filippo 11 Gao, Cun-Fa 11 García-Sánchez, Felipe 11 Saez, Andres 11 Wu, Linzhi 11 Yang, Yongtao 10 Jangid, Kamlesh 10 Javili, Ali 10 Linder, Christian 10 Zhang, Xiong 10 Zhou, Zhengong 9 Ayatollahi, Majid Reza 9 Bobaru, Florin 9 Dias-da-Costa, Daniel 9 Geers, Marc G. D. 9 Gitman, Inna M. 9 Gourgiotis, Panos A. 9 Hu, Keqiang 9 Kotousov, Andrei G. 9 Leguillon, Dominique 9 Lei, Jun 9 Mandal, Subhas Chandra 9 Noels, Ludovic 9 Pugno, Nicola Maria 9 Shifrin, Efim I. 9 Yu, Hongjun 9 Zhou, Kun 9 Zhou, Xiaoping 8 Belytschko, Ted Bohdan 8 Bordas, Stéphane Pierre Alain 8 Fan, Huo 8 Galvanetto, Ugo 8 Khludnev, Aleksandr Mikhaĭlovich 8 Kuna, Meinhard 8 Li, Xianfang 8 Li, Xing 8 Mantič, Vladislav 8 Natarajan, Sundararajan 8 Paggi, Marco 8 Pan, Ernian 8 Ricoeur, Andreas 8 Roux, Stéphane G. 8 Ryvkin, Michael 8 Song, Chongmin 8 Walton, Jay R. 8 Wang, Yuesheng 8 Wang, Zhongxian 8 Wünsche, Michael 8 Yang, Qingda 8 Yang, Zhenjun 8 Yu, Tiantang 8 Zaccariotto, Mirco 7 Barthold, Franz-Joseph 7 Bustamante, Roger 7 Das, Subir 7 Dineva, Petia S. 7 Feng, Wenjie 7 Gross, Dietmar 7 Jha, Prashant Kumar 7 Landis, Chad M. 7 Li, Junlin 7 Liu, Feng 7 Liu, Yan 7 Liu, Zhijun 7 Miehe, Christian 7 Movchan, Alexander B. 7 Ni, Tao 7 Ooi, Ean Tat ...and 3,686 more Authors all top 5 Cited in 178 Journals 298 Computer Methods in Applied Mechanics and Engineering 225 International Journal of Fracture 186 International Journal for Numerical Methods in Engineering 169 European Journal of Mechanics. 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Science A 3 Communications in Computational Physics 3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 Advances in Applied Mathematics and Mechanics 3 Mechanics of Solids 2 Computers and Fluids 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Journal of Multivariate Analysis 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 Numerical Algorithms 2 Computational Mathematics and Mathematical Physics 2 Vestnik St. Petersburg University. Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Computational and Applied Mathematics 2 Fractals 2 NoDEA. Nonlinear Differential Equations and Applications 2 Nonlinear Dynamics 2 Fractional Calculus & Applied Analysis 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Living Reviews in Relativity 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 Structural and Multidisciplinary Optimization 2 Oberwolfach Reports 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Mathematical Geosciences 2 International Journal of Structural Stability and Dynamics 2 Communications on Applied Mathematics and Computation 1 Applicable Analysis 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Nonlinearity ...and 78 more Journals all top 5 Cited in 44 Fields 2,214 Mechanics of deformable solids (74-XX) 406 Numerical analysis (65-XX) 98 Fluid mechanics (76-XX) 97 Partial differential equations (35-XX) 58 Statistical mechanics, structure of matter (82-XX) 45 Integral equations (45-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Biology and other natural sciences (92-XX) 19 Optics, electromagnetic theory (78-XX) 19 Geophysics (86-XX) 14 Mechanics of particles and systems (70-XX) 13 Computer science (68-XX) 10 Real functions (26-XX) 10 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 8 Measure and integration (28-XX) 8 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 3 Potential theory (31-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year