Berdichevsky, Victor L.; Islam, Md-Tofiqul The variational principle for probabilistic measure and Hashin-Shtrikman bounds. (English) Zbl 07816983 Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024). MSC: 74-XX 81-XX PDFBibTeX XMLCite \textit{V. L. Berdichevsky} and \textit{M.-T. Islam}, Int. J. Eng. Sci. 196, Article ID 104015, 46 p. (2024; Zbl 07816983) Full Text: DOI
Iglesias-Rodríguez, Ernesto; Bravo-Castillero, Julián; Cruz, Manuel E.; Guinovart-Díaz, Raúl Conductivity gain predictions for multiscale fibrous composites with interfacial thermal barrier resistance. (English) Zbl 07782378 Math. Methods Appl. Sci. 46, No. 6, 6613-6638 (2023). MSC: 35B27 34E13 74Q20 PDFBibTeX XMLCite \textit{E. Iglesias-Rodríguez} et al., Math. Methods Appl. Sci. 46, No. 6, 6613--6638 (2023; Zbl 07782378) Full Text: DOI OA License
Mityushev, Vladimir High-order contrast bounds for piezoelectric constants of two-phase fibrous composites. (English) Zbl 07777589 Multiscale Model. Simul. 21, No. 4, 1644-1666 (2023). MSC: 74Q20 PDFBibTeX XMLCite \textit{V. Mityushev}, Multiscale Model. Simul. 21, No. 4, 1644--1666 (2023; Zbl 07777589) Full Text: DOI
Gallican, Valentin; Idiart, Martín I. Improved estimates for the elastic properties of dilute composites with imperfect interfacial bondings of moderate anisotropy. (English) Zbl 1526.74057 Meccanica 58, No. 9, 1799-1808 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 74Q20 74E30 74B05 74E10 PDFBibTeX XMLCite \textit{V. Gallican} and \textit{M. I. Idiart}, Meccanica 58, No. 9, 1799--1808 (2023; Zbl 1526.74057) Full Text: DOI
Carini, Angelo; Genna, Francesco; Levi, Francesca Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites. (English) Zbl 07738796 Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023). MSC: 74Q20 74E30 74D05 PDFBibTeX XMLCite \textit{A. Carini} et al., Eur. J. Mech., A, Solids 102, Article ID 105108, 16 p. (2023; Zbl 07738796) Full Text: DOI
Kaledin, Vl. O.; Kaledin, V. O.; Reshetnikova, E. V.; Paul’zen, A. E.; Ul’yanov, A. D. Simulation modeling of thermomechanical behavior of polymer binders in manufacturing composite hull structure elements. (English. Russian original) Zbl 1527.74012 J. Appl. Mech. Tech. Phys. 64, No. 1, 131-140 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 152-162 (2023). MSC: 74E30 74F05 74Q20 74S05 PDFBibTeX XMLCite \textit{Vl. O. Kaledin} et al., J. Appl. Mech. Tech. Phys. 64, No. 1, 131--140 (2023; Zbl 1527.74012); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 1, 152--162 (2023) Full Text: DOI
Conti, Sergio; Rumpf, Martin; Simon, Stefan Two-scale elastic shape optimization for additive manufacturing. (English) Zbl 1514.65167 Multiscale Model. Simul. 21, No. 1, 119-142 (2023). MSC: 65N30 65N55 74P05 74Q20 PDFBibTeX XMLCite \textit{S. Conti} et al., Multiscale Model. Simul. 21, No. 1, 119--142 (2023; Zbl 1514.65167) Full Text: DOI arXiv
Andrianov, Igor V.; Awrejcewicz, Jan; Starushenko, Galina A. Approximate models of mechanics of composites. An asymptotic approach. (English) Zbl 07698522 Boca Raton, FL: CRC Press (ISBN 978-1-032-48830-1/hbk; 978-1-003-39102-9/ebook). xv, 351 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 74-02 74E30 74G10 74H10 74Q15 74Q20 PDFBibTeX XMLCite \textit{I. V. Andrianov} et al., Approximate models of mechanics of composites. An asymptotic approach. Boca Raton, FL: CRC Press (2023; Zbl 07698522) Full Text: DOI
Ponte Castañeda, Pedro Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation. (English) Zbl 1520.74068 Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q05 74E30 74B20 74Q20 74M25 74G60 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023; Zbl 1520.74068) Full Text: DOI
Wang, Xu; Schiavone, Peter Neutral coated spheres in nonlinear thermoelectricity. (English) Zbl 1519.74016 Acta Mech. 234, No. 4, 1465-1470 (2023). MSC: 74F15 74F05 74E05 74Q15 74Q20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{P. Schiavone}, Acta Mech. 234, No. 4, 1465--1470 (2023; Zbl 1519.74016) Full Text: DOI
Krause, Maximilian; Pallicity, Tarkes Dora; Böhlke, Thomas Exact second moments of strain for composites with isotropic phases. (English) Zbl 1504.74012 Eur. J. Mech., A, Solids 97, Article ID 104806, 7 p. (2023). MSC: 74E30 74Q20 74E35 74M25 PDFBibTeX XMLCite \textit{M. Krause} et al., Eur. J. Mech., A, Solids 97, Article ID 104806, 7 p. (2023; Zbl 1504.74012) Full Text: DOI
Düll, Wolf-Patrick; Engl, Dominik; Kreisbeck, Carolin A variational perspective on auxetic metamaterials of checkerboard-type. arXiv:2303.16159 Preprint, arXiv:2303.16159 [math.AP] (2023). MSC: 49J45 35B40 74E30 74Q20 BibTeX Cite \textit{W.-P. Düll} et al., ``A variational perspective on auxetic metamaterials of checkerboard-type'', Preprint, arXiv:2303.16159 [math.AP] (2023) Full Text: arXiv OA License
Guo, Xiaoqin; Tran, Hung V. Optimal convergence rates in stochastic homogenization in a balanced random environment. arXiv:2301.01267 Preprint, arXiv:2301.01267 [math.PR] (2023). MSC: 35J15 35J25 35K10 35K20 60G50 60J65 60K37 74Q20 76M50 BibTeX Cite \textit{X. Guo} and \textit{H. V. Tran}, ``Optimal convergence rates in stochastic homogenization in a balanced random environment'', Preprint, arXiv:2301.01267 [math.PR] (2023) Full Text: arXiv OA License
Ecsedi, István; Lengyel, Ákos József Two theorems on the torsional rigidity of piezoelectric beams. (English) Zbl 1524.74131 J. Comput. Appl. Mech. 17, No. 1, 45-56 (2022). MSC: 74F15 74E10 74Q20 74K10 PDFBibTeX XMLCite \textit{I. Ecsedi} and \textit{Á. J. Lengyel}, J. Comput. Appl. Mech. 17, No. 1, 45--56 (2022; Zbl 1524.74131) Full Text: DOI
Levin, Bruce; Leu, Cheng-Shiun Proof of a key inequality for lattice event probabilities with equal odds. (English) Zbl 07634011 Sequential Anal. 41, No. 4, 451-491 (2022). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 41, No. 4, 451--491 (2022; Zbl 07634011) Full Text: DOI
Engl, Dominik; Kreisbeck, Carolin; Ritorto, Antonella Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: rigidity and anisotropy. (English) Zbl 1501.35032 Math. Models Methods Appl. Sci. 32, No. 8, 1633-1669 (2022). MSC: 35B27 35B40 74E30 74Q20 PDFBibTeX XMLCite \textit{D. Engl} et al., Math. Models Methods Appl. Sci. 32, No. 8, 1633--1669 (2022; Zbl 1501.35032) Full Text: DOI arXiv
Lefèvre, Victor; Francfort, Gilles A.; Lopez-Pamies, Oscar The curious case of 2D isotropic incompressible neo-Hookean composites. (English) Zbl 1504.74005 J. Elasticity 151, No. 1, 177-186 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 74A40 74B20 74Q05 74Q20 PDFBibTeX XMLCite \textit{V. Lefèvre} et al., J. Elasticity 151, No. 1, 177--186 (2022; Zbl 1504.74005) Full Text: DOI
Tang, Z.; Ye, W. Bounds of the effective elastic moduli of nanoparticle-reinforced composites based on composite sphere assemblage and interface stress model. (English) Zbl 1502.74089 Arch. Mech. 74, No. 4, 283-317 (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{Z. Tang} and \textit{W. Ye}, Arch. Mech. 74, No. 4, 283--317 (2022; Zbl 1502.74089) Full Text: DOI
Ou, Miao-Jung Yvonne; Luger, Annemarie On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory. (English) Zbl 1500.74059 Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 461-499 (2022). MSC: 74S70 74A40 74Q20 74F10 PDFBibTeX XMLCite \textit{M.-J. Y. Ou} and \textit{A. Luger}, Assoc. Women Math. Ser. 31, 461--499 (2022; Zbl 1500.74059) Full Text: DOI arXiv
Krawietz, Arnold Upper and lower bounds to the overall incremental stiffness of hyperelastic composites. (English) Zbl 1493.74100 Acta Mech. 233, No. 7, 2931-2953 (2022). MSC: 74Q20 74B20 74E30 PDFBibTeX XMLCite \textit{A. Krawietz}, Acta Mech. 233, No. 7, 2931--2953 (2022; Zbl 1493.74100) Full Text: DOI
Li, Haigang; Li, Yan An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions. (English) Zbl 1489.74049 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 90, 28 p. (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74Q20 74E30 74B05 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Li}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 90, 28 p. (2022; Zbl 1489.74049) Full Text: DOI arXiv
Friedrich, Manuel; Machill, Lennart Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. (English) Zbl 1486.74093 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 11, 42 p. (2022). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74K20 74Q20 74D10 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{L. Machill}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 11, 42 p. (2022; Zbl 1486.74093) Full Text: DOI arXiv
Guo, Xiaoqin; Tran, Hung V. Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment. arXiv:2209.14293 Preprint, arXiv:2209.14293 [math.PR] (2022). MSC: 35J15 35J25 35K10 35K20 60G50 60J65 60K37 74Q20 76M50 BibTeX Cite \textit{X. Guo} and \textit{H. V. Tran}, ``Stochastic integrability of heat-kernel bounds for random walks in a balanced random environment'', Preprint, arXiv:2209.14293 [math.PR] (2022) Full Text: arXiv OA License
Levin, Bruce; Leu, Cheng-Shiun A key inequality for lower bound formulas for lattice event probabilities. (English) Zbl 1493.62094 Sequential Anal. 40, No. 4, 554-574 (2021). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 40, No. 4, 554--574 (2021; Zbl 1493.62094) Full Text: DOI
Golgoon, Ashkan; Yavari, Arash On Hashin’s hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity. (English) Zbl 1486.74117 J. Elasticity 146, No. 1, 65-82 (2021). Reviewer: Siran Li (Shanghai) MSC: 74Q20 74B20 74E10 74E30 74F10 PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, J. Elasticity 146, No. 1, 65--82 (2021; Zbl 1486.74117) Full Text: DOI
Rodriguez Velasquez, Edgar Daniel; Kreinovich, Vladik; Kosheleva, Olga; Nguyen, Hoang Phuong How to estimate the stiffness of a multi-layer road based on properties of layers: symmetry-based explanation for Odemark’s equation. (English) Zbl 1496.74112 Phuong, Nguyen Hoang (ed.) et al., Soft computing: biomedical and related applications. Cham: Springer. Stud. Comput. Intell. 981, 219-225 (2021). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{E. D. Rodriguez Velasquez} et al., Stud. Comput. Intell. 981, 219--225 (2021; Zbl 1496.74112) Full Text: DOI Link
Nie, Yinghao; Li, Zheng; Cheng, Gengdong Efficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA). (English) Zbl 1506.74338 Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021). MSC: 74Q20 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{Y. Nie} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113921, 31 p. (2021; Zbl 1506.74338) Full Text: DOI
Arkhipov, Igor’ Konstantinovich; Abramova, Vlada Igorevna; Kuzovleva, Ol’ga Vladimirovna; Gvozdev, Aleksandr Evgen’evich Mathematical variational method for determining the effective yield strength of two-component composite materials. (Russian. English summary) Zbl 1484.74067 Chebyshevskiĭ Sb. 22, No. 1(77), 370-377 (2021). MSC: 74Q20 74E30 74C05 PDFBibTeX XMLCite \textit{I. K. Arkhipov} et al., Chebyshevskiĭ Sb. 22, No. 1(77), 370--377 (2021; Zbl 1484.74067) Full Text: MNR
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Kou, Wenbo; Zou, Minqiang; Han, Junyan; Guan, Xiaofei; Yang, Zihao A wavelet-based learning approach assisted multiscale analysis for estimating the effective thermal conductivities of particulate composites. (English) Zbl 1506.74337 Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021). MSC: 74Q20 65T60 PDFBibTeX XMLCite \textit{H. Dong} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113591, 28 p. (2021; Zbl 1506.74337) Full Text: DOI
Glüge, Rainer Homogenization methods. Effective properties of composites. (Homogenisierungsmethoden. Effektive Eigenschaften von Kompositen.) (German) Zbl 1496.74001 De Gruyter STEM. Berlin: De Gruyter/Oldenbourg (ISBN 978-3-11-071948-2/pbk; 978-3-11-071949-9/ebook). viii, 186 p. (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 74-01 74Q05 74Q20 74E30 PDFBibTeX XMLCite \textit{R. Glüge}, Homogenisierungsmethoden. Effektive Eigenschaften von Kompositen. Berlin: De Gruyter/Oldenbourg (2021; Zbl 1496.74001) Full Text: DOI
Burazin, Krešimir; Jankov, Jelena On the effective properties of composite elastic plate. (English) Zbl 1458.74123 J. Math. Anal. Appl. 495, No. 1, Article ID 124696, 34 p. (2021). MSC: 74Q15 74Q20 74K20 74E30 PDFBibTeX XMLCite \textit{K. Burazin} and \textit{J. Jankov}, J. Math. Anal. Appl. 495, No. 1, Article ID 124696, 34 p. (2021; Zbl 1458.74123) Full Text: DOI
Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko Optimality criteria method in 2D linearized elasticity problems. (English) Zbl 1457.74161 Appl. Numer. Math. 160, 192-204 (2021). MSC: 74P05 74B10 74Q20 74E30 PDFBibTeX XMLCite \textit{K. Burazin} et al., Appl. Numer. Math. 160, 192--204 (2021; Zbl 1457.74161) Full Text: DOI
Brisard, Sébastien; Tran, V. P.; Sab, Karam Morphology-dependent Hashin-Shtrikman bounds on the effective properties of stress-gradient materials. (English) Zbl 1481.74643 Eur. J. Mech., A, Solids 85, Article ID 104072, 26 p. (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q20 74Q05 PDFBibTeX XMLCite \textit{S. Brisard} et al., Eur. J. Mech., A, Solids 85, Article ID 104072, 26 p. (2021; Zbl 1481.74643) Full Text: DOI
Hart, Kenneth A.; Rimoli, Julian J. Generation of statistically representative microstructures with direct grain geometry control. (English) Zbl 1506.74406 Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020). MSC: 74S05 74M25 65N30 74Q20 PDFBibTeX XMLCite \textit{K. A. Hart} and \textit{J. J. Rimoli}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113242, 19 p. (2020; Zbl 1506.74406) Full Text: DOI
Gómez, Delfina; Nazarov, Sergei A.; Pérez-Martínez, María-Eugenia Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation. (English) Zbl 1458.35041 J. Elasticity 142, No. 1, 89-120 (2020). MSC: 35B27 74B05 74Q20 35P05 35B25 35J25 35P15 PDFBibTeX XMLCite \textit{D. Gómez} et al., J. Elasticity 142, No. 1, 89--120 (2020; Zbl 1458.35041) Full Text: DOI
Ochoa, Ignacio; Idiart, Martín I. Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution. (English) Zbl 1453.74074 J. Eng. Math. 123, 165-171 (2020). MSC: 74Q20 74F15 74F10 74S05 78A48 PDFBibTeX XMLCite \textit{I. Ochoa} and \textit{M. I. Idiart}, J. Eng. Math. 123, 165--171 (2020; Zbl 1453.74074) Full Text: DOI
Mejak, George Hashin-Shtrikman bounds of periodic linear elastic media with cubic symmetry. (English) Zbl 1482.74148 Math. Mech. Solids 25, No. 5, 1182-1198 (2020). MSC: 74Q20 74E30 74B05 PDFBibTeX XMLCite \textit{G. Mejak}, Math. Mech. Solids 25, No. 5, 1182--1198 (2020; Zbl 1482.74148) Full Text: DOI
Siboni, Morteza H.; Ponte Castañeda, P. Finite-strain homogenization models for anisotropic dielectric elastomer composites. (English) Zbl 1476.74129 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 285-309 (2020). Reviewer: Julián Bravo-Castillero (Ciudad de México) MSC: 74Q15 74Q05 74Q20 74E30 74F15 PDFBibTeX XMLCite \textit{M. H. Siboni} and \textit{P. Ponte Castañeda}, Solid Mech. Appl. 262, 285--309 (2020; Zbl 1476.74129) Full Text: DOI
Dai, Ming; Hua, Jian; Schiavone, Peter Compressible liquid/gas inclusion with high initial pressure in plane deformation: modified boundary conditions and related analytical solutions. (English) Zbl 1475.74019 Eur. J. Mech., A, Solids 82, Article ID 104000, 8 p. (2020). MSC: 74E05 74F10 74S70 74Q20 PDFBibTeX XMLCite \textit{M. Dai} et al., Eur. J. Mech., A, Solids 82, Article ID 104000, 8 p. (2020; Zbl 1475.74019) Full Text: DOI
Wu, Ling; Zulueta, Kepa; Major, Zoltan; Arriaga, Aitor; Noels, Ludovic Bayesian inference of non-linear multiscale model parameters accelerated by a deep neural network. (English) Zbl 1441.74192 Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020). MSC: 74Q20 62F15 62M45 65Z05 PDFBibTeX XMLCite \textit{L. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112693, 17 p. (2020; Zbl 1441.74192) Full Text: DOI Link
Dana, Saumik; Ita, Joel; Wheeler, Mary F. The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered algorithm for consolidation in heterogeneous porous media. (English) Zbl 1433.74093 Multiscale Model. Simul. 18, No. 1, 221-239 (2020). MSC: 74Q20 PDFBibTeX XMLCite \textit{S. Dana} et al., Multiscale Model. Simul. 18, No. 1, 221--239 (2020; Zbl 1433.74093) Full Text: DOI
Lakhal, L.; Brunet, Yves; Kanit, T. Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials. (English) Zbl 1473.74113 Eur. J. Mech., A, Solids 80, Article ID 103926, 14 p. (2020). MSC: 74Q20 74Q15 74Q05 74S05 PDFBibTeX XMLCite \textit{L. Lakhal} et al., Eur. J. Mech., A, Solids 80, Article ID 103926, 14 p. (2020; Zbl 1473.74113) Full Text: DOI
Kang, Hyeonbae; Yu, Sanghyeon A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites. (English) Zbl 1439.35160 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 22, 13 p. (2020). MSC: 35J47 74B05 74Q20 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Yu}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 22, 13 p. (2020; Zbl 1439.35160) Full Text: DOI arXiv
Cheng, Gengdong; Li, Xikui; Nie, Yinghao; Li, Hengyang FEM-cluster based reduction method for efficient numerical prediction of effective properties of heterogeneous material in nonlinear range. (English) Zbl 1440.74383 Comput. Methods Appl. Mech. Eng. 348, 157-184 (2019). MSC: 74S05 74Q20 PDFBibTeX XMLCite \textit{G. Cheng} et al., Comput. Methods Appl. Mech. Eng. 348, 157--184 (2019; Zbl 1440.74383) Full Text: DOI
Brito-Santana, Humberto; Thiesen, José Luís Medeiros; de Medeiros, Ricardo; Ferreira, Antonio Joaquim Mendes; Rodríguez-Ramos, Reinaldo; Tita, Volnei Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures. (English) Zbl 1481.74644 Appl. Math. Modelling 75, 250-266 (2019). MSC: 74Q20 PDFBibTeX XMLCite \textit{H. Brito-Santana} et al., Appl. Math. Modelling 75, 250--266 (2019; Zbl 1481.74644) Full Text: DOI
Venetis, J.; Sideridis, E. A lower bound of longitudinal elastic modulus for three-phase fibrous composites. (English) Zbl 1425.74406 Math. Mech. Solids 24, No. 1, 72-84 (2019). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{J. Venetis} and \textit{E. Sideridis}, Math. Mech. Solids 24, No. 1, 72--84 (2019; Zbl 1425.74406) Full Text: DOI
Esmaeili, Ali; Asadi, Saeed; Larsson, Fredrik; Runesson, Kenneth Construction of macroscale yield surfaces for ductile composites based on a virtual testing strategy. (English) Zbl 1473.74028 Eur. J. Mech., A, Solids 77, Article ID 103786, 13 p. (2019). MSC: 74E30 74C99 74Q20 PDFBibTeX XMLCite \textit{A. Esmaeili} et al., Eur. J. Mech., A, Solids 77, Article ID 103786, 13 p. (2019; Zbl 1473.74028) Full Text: DOI
Sevostianov, I.; Mogilevskaya, S. G.; Kushch, V. I. Maxwell’s methodology of estimating effective properties: alive and well. (English) Zbl 1425.74405 Int. J. Eng. Sci. 140, 35-88 (2019). MSC: 74Q20 78A25 74E30 PDFBibTeX XMLCite \textit{I. Sevostianov} et al., Int. J. Eng. Sci. 140, 35--88 (2019; Zbl 1425.74405) Full Text: DOI Link
Bos, Len; Slawinski, Michael A.; Stanoev, Theodore On the Backus average of a layered medium with elasticity tensors in random orientations. (English) Zbl 1415.86031 Z. Angew. Math. Phys. 70, No. 3, Paper No. 84, 15 p. (2019). MSC: 86A15 74Q20 74E15 PDFBibTeX XMLCite \textit{L. Bos} et al., Z. Angew. Math. Phys. 70, No. 3, Paper No. 84, 15 p. (2019; Zbl 1415.86031) Full Text: DOI
Lobos Fernández, Mauricio; Böhlke, Thomas Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials. (English) Zbl 1411.74048 J. Elasticity 134, No. 1, 1-38 (2019). MSC: 74Q15 74Q20 74P05 15A72 15A21 42C10 PDFBibTeX XMLCite \textit{M. Lobos Fernández} and \textit{T. Böhlke}, J. Elasticity 134, No. 1, 1--38 (2019; Zbl 1411.74048) Full Text: DOI
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 1463.35066 Rev. Roum. Math. Pures Appl. 63, No. 4, 527-546 (2018). MSC: 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 4, 527--546 (2018; Zbl 1463.35066)
Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 07002422 Rev. Roum. Math. Pures Appl. 63, No. 3, 527-546 (2018). MSC: 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 3, 527--546 (2018; Zbl 07002422)
Bălilescu, Loredana; Conca, Carlos; Ghosh, Tuhin; San Martín, Jorge; Vanninathan, Muthusamy The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. (English) Zbl 1398.35230 Arch. Ration. Mech. Anal. 230, No. 2, 665-700 (2018). MSC: 35Q74 35B27 74Q20 49K20 74A60 35P15 74M25 74A40 PDFBibTeX XMLCite \textit{L. Bălilescu} et al., Arch. Ration. Mech. Anal. 230, No. 2, 665--700 (2018; Zbl 1398.35230) Full Text: DOI arXiv
Braides, Andrea; Kreutz, Leonard Design of lattice surface energies. (English) Zbl 1397.35014 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018). MSC: 35B27 74Q20 82B20 49J45 49Q20 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 97, 43 p. (2018; Zbl 1397.35014) Full Text: DOI Link
Düll, Wolf-Patrick; Hilder, Bastian; Schneider, Guido Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials. (English) Zbl 1451.74048 J. Appl. Anal. 24, No. 1, 71-80 (2018). MSC: 74B05 74Q20 74A40 PDFBibTeX XMLCite \textit{W.-P. Düll} et al., J. Appl. Anal. 24, No. 1, 71--80 (2018; Zbl 1451.74048) Full Text: DOI arXiv
Pérez-Fernández, Leslie D.; León-Mecías, Ángela M.; Bravo-Castillero, Julián Negligible microstructure in a class of porous nonlinear materials via variational bounds. (English) Zbl 1387.74098 Math. Methods Appl. Sci. 41, No. 2, 504-511 (2018). MSC: 74Q20 74A40 PDFBibTeX XMLCite \textit{L. D. Pérez-Fernández} et al., Math. Methods Appl. Sci. 41, No. 2, 504--511 (2018; Zbl 1387.74098) Full Text: DOI
Shen, Zhongwei; Zhuge, Jinping Approximate correctors and convergence rates in almost-periodic homogenization. (English) Zbl 1409.35027 J. Math. Pures Appl. (9) 110, 187-238 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 74Q20 35J25 35B15 PDFBibTeX XMLCite \textit{Z. Shen} and \textit{J. Zhuge}, J. Math. Pures Appl. (9) 110, 187--238 (2018; Zbl 1409.35027) Full Text: DOI arXiv
Ju, X.; Mahnken, R. Model adaptivity on effective elastic properties coupled with adaptive FEM. (English) Zbl 1439.74428 Comput. Methods Appl. Mech. Eng. 322, 208-237 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 322, 208--237 (2017; Zbl 1439.74428) Full Text: DOI
Ghosh, Tuhin; Vanninathan, Muthusamy Convergence relative to a microstructure: properties, optimal bounds and application. (English) Zbl 06850619 J. Abstr. Differ. Equ. Appl. 8, No. 2, 81-188 (2017). MSC: 62K05 78M40 74Q20 78A48 PDFBibTeX XMLCite \textit{T. Ghosh} and \textit{M. Vanninathan}, J. Abstr. Differ. Equ. Appl. 8, No. 2, 81--188 (2017; Zbl 06850619) Full Text: arXiv Link
Marigo, Jean-Jacques; Maurel, Agnès; Pham, Kim; Sbitti, Amine Effective dynamic properties of a row of elastic inclusions: the case of scalar shear waves. (English) Zbl 1374.74106 J. Elasticity 128, No. 2, 265-289 (2017). MSC: 74Q10 74Q15 74Q20 PDFBibTeX XMLCite \textit{J.-J. Marigo} et al., J. Elasticity 128, No. 2, 265--289 (2017; Zbl 1374.74106) Full Text: DOI Link
Lobos, Mauricio; Yuzbasioglu, Tunc; Böhlke, Thomas Homogenization and materials design of anisotropic multiphase linear elastic materials using central model functions. (English) Zbl 1373.74084 J. Elasticity 128, No. 1, 17-60 (2017). MSC: 74Q15 74Q20 74P05 15A72 15A21 42C10 PDFBibTeX XMLCite \textit{M. Lobos} et al., J. Elasticity 128, No. 1, 17--60 (2017; Zbl 1373.74084) Full Text: DOI
Goldsztein, Guillermo H. Mathematical model and analysis of the strength of particle reinforced ideally plastic composites. (English) Zbl 1368.74016 Q. Appl. Math. 75, No. 4, 769-782 (2017). MSC: 74C05 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{G. H. Goldsztein}, Q. Appl. Math. 75, No. 4, 769--782 (2017; Zbl 1368.74016) Full Text: DOI
Milton, Graeme; Harutyunyan, Davit; Briane, Marc Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. (English) Zbl 1368.74054 Math. Mech. Complex Syst. 5, No. 1, 95-113 (2017). MSC: 74Q20 35Q74 PDFBibTeX XMLCite \textit{G. Milton} et al., Math. Mech. Complex Syst. 5, No. 1, 95--113 (2017; Zbl 1368.74054) Full Text: DOI arXiv
Milton, Graeme; Briane, Marc; Harutyunyan, Davit On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. (English) Zbl 1368.74053 Math. Mech. Complex Syst. 5, No. 1, 41-94 (2017). MSC: 74Q20 35Q74 PDFBibTeX XMLCite \textit{G. Milton} et al., Math. Mech. Complex Syst. 5, No. 1, 41--94 (2017; Zbl 1368.74053) Full Text: DOI arXiv
Braides, Andrea; Kreutz, Leonard Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. (English) Zbl 1373.35029 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 103-117 (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 39A12 74Q20 74E30 82B20 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 103--117 (2017; Zbl 1373.35029) Full Text: DOI
Calvo-Jurado, Carmen; Parnell, William J. The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites. (English) Zbl 1366.74065 J. Comput. Appl. Math. 318, 354-365 (2017). MSC: 74Q20 74Q15 PDFBibTeX XMLCite \textit{C. Calvo-Jurado} and \textit{W. J. Parnell}, J. Comput. Appl. Math. 318, 354--365 (2017; Zbl 1366.74065) Full Text: DOI
Kapanadze, D.; Miszuris, W.; Pesetskaya, E. Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites. (English) Zbl 07775067 ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780-790 (2016). MSC: 34B15 35B27 74Q20 PDFBibTeX XMLCite \textit{D. Kapanadze} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 7, 780--790 (2016; Zbl 07775067) Full Text: DOI
Idiart, Martín I.; Lahellec, Noel Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. (English) Zbl 1451.74198 J. Mech. Phys. Solids 97, 317-332 (2016). MSC: 74Q20 74E05 74C10 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{N. Lahellec}, J. Mech. Phys. Solids 97, 317--332 (2016; Zbl 1451.74198) Full Text: DOI
Vigdergauz, S. A planar grained structure with a multiphase nested inclusion in a periodic cell: elastostatic solution and the equi-stressness. (English) Zbl 1370.74132 Math. Mech. Solids 21, No. 6, 709-724 (2016). MSC: 74Q15 74K99 74S70 PDFBibTeX XMLCite \textit{S. Vigdergauz}, Math. Mech. Solids 21, No. 6, 709--724 (2016; Zbl 1370.74132) Full Text: DOI
Levin, Bruce; Leu, Cheng-Shiun On lattice event probabilities for Levin-Robbins-Leu subset selection procedures. (English) Zbl 1348.62056 Sequential Anal. 35, No. 3, 370-386 (2016). MSC: 62F07 62F35 62L10 74Q20 PDFBibTeX XMLCite \textit{B. Levin} and \textit{C.-S. Leu}, Sequential Anal. 35, No. 3, 370--386 (2016; Zbl 1348.62056) Full Text: DOI
Das, Sonjoy; Chakravarty, Sourish Predictive algorithm for detection of microcracks from macroscale observables. (English) Zbl 1383.74095 SIAM/ASA J. Uncertain. Quantif. 4, 660-707 (2016). MSC: 74S60 65N21 65C50 74Q20 90C26 90C90 PDFBibTeX XMLCite \textit{S. Das} and \textit{S. Chakravarty}, SIAM/ASA J. Uncertain. Quantif. 4, 660--707 (2016; Zbl 1383.74095) Full Text: DOI
Abdulle, Assyr; Pouchon, Timothée A priori error analysis of the finite element heterogeneous multiscale method for the wave equation over long time. (English) Zbl 1382.65303 SIAM J. Numer. Anal. 54, No. 3, 1507-1534 (2016). MSC: 65M60 65M15 35B27 35B10 35B40 35L05 74Q10 74Q15 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{T. Pouchon}, SIAM J. Numer. Anal. 54, No. 3, 1507--1534 (2016; Zbl 1382.65303) Full Text: DOI
Braides, Andrea; Kreutz, Leonard Optimal design of mixtures of ferromagnetic interactions. arXiv:1610.06455 Preprint, arXiv:1610.06455 [math.OC] (2016). MSC: 35B27 74Q20 82B20 49J45 49Q20 BibTeX Cite \textit{A. Braides} and \textit{L. Kreutz}, ``Optimal design of mixtures of ferromagnetic interactions'', Preprint, arXiv:1610.06455 [math.OC] (2016) Full Text: arXiv OA License
López-Ruiz, G.; Bravo-Castillero, J.; Brenner, R.; Cruz, M. E.; Guinovart-Díaz, R.; Pérez-Fernández, L. D.; Rodríguez-Ramos, R. Variational bounds in composites with nonuniform interfacial thermal resistance. (English) Zbl 1443.74080 Appl. Math. Modelling 39, No. 23-24, 7266-7276 (2015). MSC: 74-10 74E30 PDFBibTeX XMLCite \textit{G. López-Ruiz} et al., Appl. Math. Modelling 39, No. 23--24, 7266--7276 (2015; Zbl 1443.74080) Full Text: DOI
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. (English) Zbl 1423.74806 Comput. Methods Appl. Mech. Eng. 297, 258-291 (2015). MSC: 74Q20 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Methods Appl. Mech. Eng. 297, 258--291 (2015; Zbl 1423.74806) Full Text: DOI arXiv
Zhang, Chao; Waksmanski, Natalie; Wheeler, Vincent M.; Pan, Ernian; Larsen, Ross E. The effect of photodegradation on effective properties of polymeric thin films: a micromechanical homogenization approach. (English) Zbl 1423.74807 Int. J. Eng. Sci. 94, 1-22 (2015). MSC: 74Q20 74Q15 74K35 PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Eng. Sci. 94, 1--22 (2015; Zbl 1423.74807) Full Text: DOI
Saroukhani, S.; Vafadari, R.; Andersson, R.; Larsson, Fredrik; Runesson, K. On statistical strain and stress energy bounds from homogenization and virtual testing. (English) Zbl 1406.74569 Eur. J. Mech., A, Solids 51, 77-95 (2015). MSC: 74Q20 74Q15 PDFBibTeX XMLCite \textit{S. Saroukhani} et al., Eur. J. Mech., A, Solids 51, 77--95 (2015; Zbl 1406.74569) Full Text: DOI
Scheunemann, Lisa; Balzani, Daniel; Brands, Dominik; Schröder, Jörg Construction of statistically similar RVEs. (English) Zbl 1403.74078 Conti, Sergio (ed.) et al., Analysis and computation of microstructure in finite plasticity. Cham: Springer (ISBN 978-3-319-18241-4/hbk; 978-3-319-18242-1/ebook). Lecture Notes in Applied and Computational Mechanics 78, 219-256 (2015). MSC: 74Q15 74Q20 74S60 PDFBibTeX XMLCite \textit{L. Scheunemann} et al., Lect. Notes Appl. Comput. Mech. 78, 219--256 (2015; Zbl 1403.74078) Full Text: DOI
Calvo-Jurado, Carmen; Parnell, William Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material. (English) Zbl 1317.74078 J. Math. Chem. 53, No. 3, 828-843 (2015). MSC: 74Q20 74Q15 74F05 PDFBibTeX XMLCite \textit{C. Calvo-Jurado} and \textit{W. Parnell}, J. Math. Chem. 53, No. 3, 828--843 (2015; Zbl 1317.74078) Full Text: DOI
Eigel, Martin; Peterseim, Daniel Simulation of composite materials by a network FEM with error control. (English) Zbl 1309.74069 Comput. Methods Appl. Math. 15, No. 1, 21-37 (2015). MSC: 74S05 65N15 65N30 74Q20 PDFBibTeX XMLCite \textit{M. Eigel} and \textit{D. Peterseim}, Comput. Methods Appl. Math. 15, No. 1, 21--37 (2015; Zbl 1309.74069) Full Text: DOI Link
Ostoja-Starzewski, Martin; Costa, Luis; Ranganathan, Shivakumar I. Scale-dependent homogenization of random hyperbolic thermoelastic solids. (English) Zbl 1341.60072 J. Elasticity 118, No. 2, 243-250 (2015). MSC: 60H30 60G60 74A40 74A60 74Q20 74F05 80A17 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} et al., J. Elasticity 118, No. 2, 243--250 (2015; Zbl 1341.60072) Full Text: DOI
Cazzani, Antonio On the true extrema of Young’s modulus in hexagonal materials. (English) Zbl 1334.74012 Appl. Math. Comput. 238, 397-407 (2014). MSC: 74B05 74P05 PDFBibTeX XMLCite \textit{A. Cazzani}, Appl. Math. Comput. 238, 397--407 (2014; Zbl 1334.74012) Full Text: DOI
Kochmann, Dennis M.; Milton, Graeme W. Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. (English) Zbl 1328.74075 J. Mech. Phys. Solids 71, 46-63 (2014). MSC: 74Q20 35B35 74E30 74B05 70G75 35Q74 PDFBibTeX XMLCite \textit{D. M. Kochmann} and \textit{G. W. Milton}, J. Mech. Phys. Solids 71, 46--63 (2014; Zbl 1328.74075) Full Text: DOI arXiv Link
Almog, Y. The Clausius-Mossotti formula in a dilute random medium with fixed volume fraction. (English) Zbl 1326.74111 Multiscale Model. Simul. 12, No. 4, 1777-1799 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74E35 35B27 35R60 60K37 74Q20 35Q74 PDFBibTeX XMLCite \textit{Y. Almog}, Multiscale Model. Simul. 12, No. 4, 1777--1799 (2014; Zbl 1326.74111) Full Text: DOI
Vigdergauz, Shmuel Planar grained structures with multiple inclusions in a periodic cell: elastostatic solution and its potential applications. (English) Zbl 1299.74150 Math. Mech. Solids 19, No. 7, 805-820 (2014). MSC: 74Q15 74Q20 74S70 PDFBibTeX XMLCite \textit{S. Vigdergauz}, Math. Mech. Solids 19, No. 7, 805--820 (2014; Zbl 1299.74150) Full Text: DOI
Raghavan, Bharath V.; Ranganathan, Shivakumar I. Bounds and scaling laws at finite scales in planar elasticity. (English) Zbl 1302.74010 Acta Mech. 225, No. 11, 3007-3022 (2014). MSC: 74A40 74Q20 74E30 74M25 PDFBibTeX XMLCite \textit{B. V. Raghavan} and \textit{S. I. Ranganathan}, Acta Mech. 225, No. 11, 3007--3022 (2014; Zbl 1302.74010) Full Text: DOI
Zohdi, Ti Variational bounds for thermal fields in media with heterogeneous microstructure. (English) Zbl 1362.74029 Math. Mech. Solids 19, No. 4, 434-439 (2014). MSC: 74Q20 74E05 74F05 74M25 PDFBibTeX XMLCite \textit{T. Zohdi}, Math. Mech. Solids 19, No. 4, 434--439 (2014; Zbl 1362.74029) Full Text: DOI
Lin, S.; Langhoff, T.-A.; Böhlke, T. Micromechanical estimate of the elastic properties of the coherent domains in pyrolytic carbon. (English) Zbl 1293.74361 Arch. Appl. Mech. 84, No. 1, 133-148 (2014). MSC: 74Q15 74Q20 74-05 PDFBibTeX XMLCite \textit{S. Lin} et al., Arch. Appl. Mech. 84, No. 1, 133--148 (2014; Zbl 1293.74361) Full Text: DOI
Liu, Liping A differential approach to microstructure-dependent bounds for multiphase heterogeneous media. (English) Zbl 1401.74245 Acta Mech. 225, No. 4-5, 1245-1266 (2014). MSC: 74Q20 74M25 74A40 PDFBibTeX XMLCite \textit{L. Liu}, Acta Mech. 225, No. 4--5, 1245--1266 (2014; Zbl 1401.74245) Full Text: DOI
Braides, Andrea Optimal bounds for periodic mixtures of ferromagnetic interactions. arXiv:1406.7152 Preprint, arXiv:1406.7152 [math-ph] (2014). MSC: 35B27 49J45 78M40 74Q20 BibTeX Cite \textit{A. Braides}, ``Optimal bounds for periodic mixtures of ferromagnetic interactions'', Preprint, arXiv:1406.7152 [math-ph] (2014) Full Text: arXiv OA License
Pham, K.; Kouznetsova, V. G.; Geers, M. G. D. Transient computational homogenization for heterogeneous materials under dynamic excitation. (English) Zbl 1325.74125 J. Mech. Phys. Solids 61, No. 11, 2125-2146 (2013); corrigendum ibid. 64, 483 (2014). MSC: 74Q20 74H15 74E05 74N15 74Q05 74S30 PDFBibTeX XMLCite \textit{K. Pham} et al., J. Mech. Phys. Solids 61, No. 11, 2125--2146 (2013; Zbl 1325.74125) Full Text: DOI
Sánchez, P. J.; Blanco, P. J.; Huespe, A. E.; Feijóo, R. A. Failure-oriented multi-scale variational formulation: micro-structures with nucleation and evolution of softening bands. (English) Zbl 1286.74009 Comput. Methods Appl. Mech. Eng. 257, 221-247 (2013). MSC: 74A45 74M25 74N15 74Q20 PDFBibTeX XMLCite \textit{P. J. Sánchez} et al., Comput. Methods Appl. Mech. Eng. 257, 221--247 (2013; Zbl 1286.74009) Full Text: DOI
Abdulle, Assyr; Bai, Yun Adaptive reduced basis finite element heterogeneous multiscale method. (English) Zbl 1286.74088 Comput. Methods Appl. Mech. Eng. 257, 203-220 (2013). MSC: 74Q20 74S05 65N30 35B27 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{Y. Bai}, Comput. Methods Appl. Mech. Eng. 257, 203--220 (2013; Zbl 1286.74088) Full Text: DOI Link
Camar-Eddine, Mohamed; Pater, Laurent Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures. (English) Zbl 1304.35060 Netw. Heterog. Media 8, No. 4, 913-941 (2013). MSC: 35B27 35J25 74Q20 PDFBibTeX XMLCite \textit{M. Camar-Eddine} and \textit{L. Pater}, Netw. Heterog. Media 8, No. 4, 913--941 (2013; Zbl 1304.35060) Full Text: DOI arXiv
Kutsenko, A. A.; Shuvalov, A. L.; Norris, A. N. Converging bounds for the effective shear speed in 2D phononic crystals. (English) Zbl 1329.74121 J. Elasticity 113, No. 2, 179-191 (2013). MSC: 74J05 74Q20 74E15 PDFBibTeX XMLCite \textit{A. A. Kutsenko} et al., J. Elasticity 113, No. 2, 179--191 (2013; Zbl 1329.74121) Full Text: DOI arXiv
Mogilevskaya, Sofia G.; Crouch, Steven L. Combining Maxwell’s methodology with the BEM for evaluating the two-dimensional effective properties of composite and micro-cracked materials. (English) Zbl 1312.74054 Comput. Mech. 51, No. 4, 377-389 (2013). MSC: 74S15 74Q20 PDFBibTeX XMLCite \textit{S. G. Mogilevskaya} and \textit{S. L. Crouch}, Comput. Mech. 51, No. 4, 377--389 (2013; Zbl 1312.74054) Full Text: DOI
Ko, Yu-Fu; Ju, J. W. Effective transverse elastic moduli of three-phase hybrid fiber-reinforced composites with randomly located and interacting aligned circular fibers of distinct elastic properties and sizes. (English) Zbl 1401.74243 Acta Mech. 224, No. 1, 157-182 (2013). MSC: 74Q15 74Q20 74E30 74E35 PDFBibTeX XMLCite \textit{Y.-F. Ko} and \textit{J. W. Ju}, Acta Mech. 224, No. 1, 157--182 (2013; Zbl 1401.74243) Full Text: DOI
Repin, S.; Samrowski, T. On computable bounds of modeling errors. (English) Zbl 1308.74129 Cangiani, Andrea (ed.) et al., Numerical mathematics and advanced applications 2011. Proceedings of ENUMATH 2011, the 9th European conference on numerical mathematics and advanced applications, Leicester, UK, September 5–9, 2011. Berlin: Springer (ISBN 978-3-642-33133-6/hbk; 978-3-642-33134-3/ebook). 53-61 (2013). MSC: 74Q20 PDFBibTeX XMLCite \textit{S. Repin} and \textit{T. Samrowski}, in: Numerical mathematics and advanced applications 2011. Proceedings of ENUMATH 2011, the 9th European conference on numerical mathematics and advanced applications, Leicester, UK, September 5--9, 2011. Berlin: Springer. 53--61 (2013; Zbl 1308.74129) Full Text: DOI
Peterseim, Daniel; Carstensen, Carsten Finite element network approximation of conductivity in particle composites. (English) Zbl 1329.74284 Numer. Math. 124, No. 1, 73-97 (2013). MSC: 74S05 65N30 74Q20 PDFBibTeX XMLCite \textit{D. Peterseim} and \textit{C. Carstensen}, Numer. Math. 124, No. 1, 73--97 (2013; Zbl 1329.74284) Full Text: DOI Link