Boundary element programming in mechanics. With 1 CD-ROM (Windows, Macintosh and UNIX) The book describes applications of boundary element method (BEM) in solid mechanics, beginning with basic theory and then explaining the numerical implementation of BEM in three-dimensional nonlinear stress analysis. In addition, the authors develop a state-of-the-art BEM computer code, available for the first time on a CD-ROM attached to the book. The main topics covered in the book are: a) the derivation of partial differential equations that describe elasto-plasticity; b) the formulation of boundary integral equations for elasto-plasticity; c) the description of numerical algorithms for the implementation of boundary element method; d) the description of methods for evaluating singularities and solving nonlinear systems of equations; e) the description of computer code, and f) the presentation of benchmark problems and applications.par This book will be especially useful to stress analysts in industry, to research workers in computational plasticity, and to postgraduate students taking courses in engineering mechanics.

References in zbMATH (referenced in 103 articles )

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  1. Bołtuć, Agnieszka: Automatic generating and spread of a plastic region in PIES (2020)
  2. Gong, Yanpeng; Dong, Chunying; Qin, Fei; Hattori, Gabriel; Trevelyan, Jon: Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures (2020)
  3. Gun, H.: Isotropic damage analysis of thermoelastic problems using BIE (2020)
  4. Yang, Kai; Li, Hao-Yang; Peng, Hai-Feng; Gao, Xiao-Wei: New interface integration BEM for solving multi-medium nonlinear heat transfer problems (2020)
  5. Yang, Yang; Liu, Yijun: A new boundary element method for modeling wave propagation in functionally graded materials (2020)
  6. Zheng, Yong-Tong; Gao, Xiao-Wei; Peng, Hai-Feng; Xu, Bing-Bing: The coupled method of multi-domain BEM and element differential method for solving multi-scale problems (2020)
  7. Gao, Xiao-Wei; Liang, Yu; Xu, Bing-Bing; Yang, Kai; Peng, Hai-Feng: Cross-line elements for free element method in thermal and mechanical analyses of functionally gradient materials (2019)
  8. Gong, Yanpeng; Trevelyan, Jon; Hattori, Gabriel; Dong, Chunying: Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures (2019)
  9. Gong, Y. P.; Yang, H. S.; Dong, C. Y.: A novel interface integral formulation for 3D steady state thermal conduction problem for a medium with non-homogenous inclusions (2019)
  10. Peixoto, Rodrigo G.; Penna, S. S.; Pitangueira, R. L. S.; Ribeiro, G. O.: A non-local damage approach for the boundary element method (2019)
  11. Peng, Hai-Feng; Yang, Kai; Cui, Miao; Gao, Xiao-Wei: Radial integration boundary element method for solving two-dimensional unsteady convection-diffusion problem (2019)
  12. Souza, L. P.; Peixoto, Rodrigo G.: Automatic cells generation algorithms for two-dimensional physically non-linear BEM analysis (2019)
  13. Yang, Y.; Kou, K. P.; Lam, C. C.: In-plane free vibration of circular and annular FG disks (2019)
  14. Gao, Xiao-Wei; Zheng, Yong-Tong; Peng, Hai-Feng; Cui, Miao; Zhang, Zhuo-Yuan: Trans-accuracy elements and their application in BEM analysis of structurally multi-scale problems (2018)
  15. Xiao, S.; Yue, Z. Q.; Xiao, H. T.: Boundary element analysis of elastic fields in non-horizontally layered halfspace whose horizontal boundary subject to tractions (2018)
  16. Bołtuć, Agnieszka: 2D elastoplastic boundary problems solved by PIES without strongly singular surface integrals (2017)
  17. Bołtuć, Agnieszka; Zieniuk, Eugeniusz: Approximation of the derivatives of solutions in a normalized domain for 2D solids using the PIES method (2017)
  18. Gong, Y. P.; Dong, C. Y.: An isogeometric boundary element method using adaptive integral method for 3D potential problems (2017)
  19. Gong, Y. P.; Dong, C. Y.; Qin, X. C.: An isogeometric boundary element method for three dimensional potential problems (2017)
  20. Peixoto, Rodrigo G.; Ribeiro, G. O.; Pitangueira, R. L. S.; Penna, S. S.: The strong discontinuity approach as a limit case of strain localization in the implicit BEM formulation (2017)

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