# zbMATH — the first resource for mathematics

## Eshelby, John Douglas

Compute Distance To:
 Author ID: eshelby.j-d Published as: Eshelby, J. D. External Links: Wikidata · GND
 Documents Indexed: 18 Publications since 1949, including 1 Book Biographic References: 2 Publications

#### Co-Authors

 15 single-authored 1 Chou, Ye Tsang 1 Frank, F. C. 1 Nabarro, F. R. N. 1 Stroh, A. N.
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#### Serials

 4 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 The Philosophical Magazine, VII. Series 2 Journal of the Mechanics and Physics of Solids 2 Philosophical Transactions of the Royal Society of London. Ser. A 1 Journal of Elasticity 1 Journal of Applied Physics 1 Physical Review, II. Series 1 The Philosophical Magazine, VIII. Series 1 Solid Mechanics and Its Applications

#### Fields

 4 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX)

#### Citations contained in zbMATH

18 Publications have been cited 1,609 times in 1,298 Documents Cited by Year
The determination of the elastic field of an ellipsoidal inclusion, and related problems. Zbl 0079.39606
Eshelby, J. D.
1957
The force on an elastic singularity. Zbl 0043.44102
Eshelby, J. D.
1951
The elastic energy-momentum tensor. Zbl 0323.73011
Eshelby, J. D.
1975
The elastic field outside an ellipsoidal inclusion. Zbl 0092.42001
Eshelby, J. D.
1959
Dislocations in visco-elastic materials. Zbl 0097.17602
Eshelby, J. D.
1961
The equilibrium of linear arrays of dislocations. Zbl 0042.22704
Eshelby, J. D.; Frank, F. C.; Nabarro, F. R. N.
1951
The equation of motion of a dislocation. Zbl 0051.23101
Eshelby, J. D.
1953
Aspects of the theory of dislocations. Zbl 0489.73118
Eshelby, J. D.
1982
The elastic field of a crack extending non-uniformly under general anti- plane loading. Zbl 0172.51302
Eshelby, J. D.
1969
Edge dislocations in anisotropic materials. Zbl 0033.04801
Eshelby, J. D.
1949
Dislocations as a cause of mechanical damping in metals. Zbl 0032.37901
Eshelby, J. D.
1949
The energy-momentum tensor of complex continua. Zbl 0555.73014
Eshelby, J. D.
1980
The interaction of kinks and elastic waves. Zbl 0106.44703
Eshelby, J. D.
1962
Distortion of a crystal by point imperfections. Zbl 0055.44208
Eshelby, J. D.
1954
Dislocations in thin plates. Zbl 0043.44005
Eshelby, J. D.; Stroh, A. N.
1951
Collected works of J. D. Eshelby. The mechanics of defects and inhomogeneities. Edited by X. Markenscoff and A. Gupta. Zbl 1099.01027
Eshelby, J. D.
2006
Dislocation theory for geophysical applications. Zbl 0254.73081
Eshelby, J. D.
1973
The energy and line tension of a dislocation in a hexagonal crystal. Zbl 0102.17902
Chou, Y. T.; Eshelby, J. D.
1962
Collected works of J. D. Eshelby. The mechanics of defects and inhomogeneities. Edited by X. Markenscoff and A. Gupta. Zbl 1099.01027
Eshelby, J. D.
2006
Aspects of the theory of dislocations. Zbl 0489.73118
Eshelby, J. D.
1982
The energy-momentum tensor of complex continua. Zbl 0555.73014
Eshelby, J. D.
1980
The elastic energy-momentum tensor. Zbl 0323.73011
Eshelby, J. D.
1975
Dislocation theory for geophysical applications. Zbl 0254.73081
Eshelby, J. D.
1973
The elastic field of a crack extending non-uniformly under general anti- plane loading. Zbl 0172.51302
Eshelby, J. D.
1969
The interaction of kinks and elastic waves. Zbl 0106.44703
Eshelby, J. D.
1962
The energy and line tension of a dislocation in a hexagonal crystal. Zbl 0102.17902
Chou, Y. T.; Eshelby, J. D.
1962
Dislocations in visco-elastic materials. Zbl 0097.17602
Eshelby, J. D.
1961
The elastic field outside an ellipsoidal inclusion. Zbl 0092.42001
Eshelby, J. D.
1959
The determination of the elastic field of an ellipsoidal inclusion, and related problems. Zbl 0079.39606
Eshelby, J. D.
1957
Distortion of a crystal by point imperfections. Zbl 0055.44208
Eshelby, J. D.
1954
The equation of motion of a dislocation. Zbl 0051.23101
Eshelby, J. D.
1953
The force on an elastic singularity. Zbl 0043.44102
Eshelby, J. D.
1951
The equilibrium of linear arrays of dislocations. Zbl 0042.22704
Eshelby, J. D.; Frank, F. C.; Nabarro, F. R. N.
1951
Dislocations in thin plates. Zbl 0043.44005
Eshelby, J. D.; Stroh, A. N.
1951
Edge dislocations in anisotropic materials. Zbl 0033.04801
Eshelby, J. D.
1949
Dislocations as a cause of mechanical damping in metals. Zbl 0032.37901
Eshelby, J. D.
1949
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#### Cited by 1,981 Authors

 19 Markenscoff, Xanthippi 18 Sevostianov, Igor 18 Steinmann, Paul 18 Weng, George J. 16 Ponte Castañeda, Pedro 16 Wang, Xu 15 Novotny, Antonio André 12 Buryachenko, Valeriy A. 12 Hellmich, Christian 12 Schiavone, Peter 12 Shodja, Hossein M. 10 Lazar, Markus 10 Sokołowski, Jan 9 Chen, Yizhou 9 Feijóo, Raúl Antonino 9 Kushch, Volodymyr I. 9 Li, Shaofan 8 Chiang, Chun-Ron 8 Ma, Hang 8 Muller, Ralf 8 Yavari, Arash 8 Zou, Wennan 7 Acharya, Amit 7 Berveiller, Marcel 7 Epstein, Marcelo 7 Fried, Eliot 7 Gao, Huajian 7 Giraud, Albert 7 Gurtin, Morton Edward 7 Keer, Leon M. 7 Knops, Robin J. 7 Lubarda, Vlado A. 7 Zheng, Quanshui 6 Aderogba, K. V. 6 Barthelemy, Jean-Francois M. 6 Cheung, Ying Kuen K. 6 Dai, Ming 6 Freĭdin, Aleksandr Borisovich 6 Giusti, Sebastián M. 6 Gross, Dietmar 6 He, Qichang 6 Huang, Mojia 6 Korsunsky, Alexander M. 6 Levin, Valery M. 6 Liu, Liping 6 Ma, Lifeng 6 Maugin, Gérard A. 6 Ni, Luqun 6 Padra, Claudio 6 Sabar, Hafid 6 Taroco, Edgardo O. 6 Walpole, L. J. 6 Wang, Qian 6 Xu, Baixiang 5 Berbenni, Stephane 5 Bhattacharya, Kaushik 5 Bonnet, Guy 5 Brock, Louis M. 5 Clayton, John D. 5 Doghri, Issam 5 Gupta, Anurag P. 5 Kolling, Stefan 5 Kuhl, Ellen 5 Li, Qun 5 Liu, Wing Kam 5 Lopez-Pamies, Oscar 5 To, Quy-Dong 5 Trimarco, Carmine 5 Wang, Minzhong 5 Wang, Zhanjiang 5 Yu, Jianwu 4 Adam, Laurent 4 Aghdam, Mohammad Mohammadi 4 Agiasofitou, Eleni K. 4 Barnett, David M. 4 Chatzigeorgiou, George 4 Cherepanov, Genady P. 4 Crouch, Steven L. 4 Delfani, M. R. 4 Denda, Mitsunori 4 Dormieux, Luc 4 Duan, Huiling 4 Eberhardsteiner, Josef 4 Eshelby, John Douglas 4 Federico, Salvatore 4 Fish, Jacob 4 Foulk, James W. III 4 Franciosi, Patrick 4 Ganghoffer, Jean-François 4 Gao, Cun-Fa 4 Ghosh, Somnath 4 Giordano, Stefano 4 Idiart, Martín I. 4 Jin, Xiaoqing 4 Kaliske, Michael 4 Kalpakides, Vassilios K. 4 Lagoudas, Dimitris C. 4 Laws, Norman 4 Leugering, Günter 4 Liew, Kim Meow ...and 1,881 more Authors
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#### Cited in 109 Serials

 201 Journal of the Mechanics and Physics of Solids 148 Acta Mechanica 89 International Journal of Engineering Science 78 Computer Methods in Applied Mechanics and Engineering 70 Journal of Elasticity 65 European Journal of Mechanics. A. Solids 59 International Journal of Solids and Structures 55 Mathematics and Mechanics of Solids 41 Computational Mechanics 31 International Journal for Numerical Methods in Engineering 30 Engineering Analysis with Boundary Elements 27 International Journal of Plasticity 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Continuum Mechanics and Thermodynamics 23 International Journal of Fracture 22 Archive of Applied Mechanics 22 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 19 Archive for Rational Mechanics and Analysis 17 Journal of Applied Mathematics and Mechanics 12 Meccanica 12 Applied Mathematics and Mechanics. (English Edition) 8 Journal of Engineering Mathematics 8 Journal of Fluid Mechanics 8 Acta Mechanica Sinica 8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 Wave Motion 7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Archives of Computational Methods in Engineering 6 Mechanics Research Communications 6 Applied Mathematical Modelling 5 Mathematical Methods in the Applied Sciences 5 Journal of Theoretical Biology 4 International Journal for Numerical and Analytical Methods in Geomechanics 4 Journal of Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Computational and Applied Mathematics 4 Physica D 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Acta Mechanica Sinica. (English Edition) 4 Mathematical Problems in Engineering 4 The Philosophical Magazine, VIII. Series 3 Archives of Mechanics 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Prikladnaya Matematika i Mekhanika 3 Applied Mathematics and Computation 3 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Journal on Applied Mathematics 3 Communications in Numerical Methods in Engineering 3 Structural and Multidisciplinary Optimization 2 Applicable Analysis 2 International Journal of Heat and Mass Transfer 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Applied Mathematics and Optimization 2 Journal of Differential Equations 2 Quarterly of Applied Mathematics 2 European Journal of Applied Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Physics of Fluids 2 Lobachevskii Journal of Mathematics 2 International Journal of Computational Methods 2 Journal of Applied Physics 2 Physical Review, II. Series 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Modern Physics Letters B 1 Computers and Fluids 1 Ingenieur-Archiv 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physics of Fluids, A 1 Soviet Applied Mechanics 1 Anais da Academia Brasileira de Ciências 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the Nigerian Mathematical Society 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Vestnik St. Petersburg University. Mathematics 1 International Applied Mechanics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Science in China. Series E 1 Computing and Visualization in Science 1 Journal of Applied Mechanics and Technical Physics 1 Computational Geosciences 1 Physical Review Letters 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics ...and 9 more Serials
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#### Cited in 30 Fields

 1,225 Mechanics of deformable solids (74-XX) 66 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 58 Statistical mechanics, structure of matter (82-XX) 38 Fluid mechanics (76-XX) 31 Classical thermodynamics, heat transfer (80-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 17 Functions of a complex variable (30-XX) 16 Biology and other natural sciences (92-XX) 12 Optics, electromagnetic theory (78-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 7 Geophysics (86-XX) 6 Integral equations (45-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

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