Computational methods for plasticity. Theory and applications. The purpose of this text is to describe in detail numerical techniques used in small and large strain finite element analysis of elastic and inelastic solids. Attention is focused on the derivation and description of various constitutive models – based on phenomenological hyperelasticity, elastoplasticity and elasto-viscoplasticity – together with the relevant numerical procedures and the practical issues arising in their computer implementation within a quasi-static finite element scheme. Many of the techniques discussed in the text are incorporated in the FORTRAN program, named HYPLAS, which accompanies this book and can be found at www.wiley.com/go/desouzaneto.This computer program has been specially written to illustrate the practical implementation of such techniques. We make no pretence that the text provides a complete account of the topics considered but rather, we see it as an attempt to present a reasonable balance of theory and numerical procedures used in the finite element simulation of the nonlinear mechanical behaviour of solids.

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  1. Bryant, Eric C.; Sun, WaiChing: Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions (2021)
  2. Korobeynikov, S. N.: Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity (2021)
  3. Li, Chunguang; Li, Cuihua; Zheng, Hong: Subspace tracking method for non-smooth yield surface (2021)
  4. Nguyen, K.; Amores, Víctor Jesús; Sanz, Miguel A.; Montáns, Francisco J.: Thermodynamically consistent nonlinear viscoplastic formulation with exact solution for the linear case and well-conditioned recovery of the inviscid one (2021)
  5. Russ, Jonathan B.; Waisman, Haim: A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis (2021)
  6. Sanchez, J. J.: Inelastic equation of state for solids (2021)
  7. Späth, Michael; Herrmann, Christoph; Prajapati, Nishant; Schneider, Daniel; Schwab, Felix; Selzer, Michael; Nestler, Britta: Multiphase-field modelling of crack propagation in geological materials and porous media with Drucker-Prager plasticity (2021)
  8. Suzuki, Jorge; Zhou, Yongtao; D’Elia, Marta; Zayernouri, Mohsen: A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials (2021)
  9. Vlassis, Nikolaos N.; Sun, WaiChing: Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening (2021)
  10. Bishop, Joseph E.; Sukumar, N.: Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation (2020)
  11. Bui, Hoang-Giang; Schillinger, Dominik; Meschke, Günther: Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis (2020)
  12. D’Angella, Davide; Reali, Alessandro: Efficient extraction of hierarchical B-splines for local refinement and coarsening of isogeometric analysis (2020)
  13. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  14. Garhuom, Wadhah; Hubrich, Simeon; Radtke, Lars; Düster, Alexander: A remeshing strategy for large deformations in the finite cell method (2020)
  15. Gebhardt, Cristian Guillermo; Schillinger, Dominik; Steinbach, Marc Christian; Rolfes, Raimund: A framework for data-driven structural analysis in general elasticity based on nonlinear optimization: the static case (2020)
  16. Haveroth, G. A.; Vale, M. G.; Bittencourt, M. L.; Boldrini, J. L.: A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials (2020)
  17. Jafari, M.; Kharazi, M.: Numerical simulation of cyclic behavior of a ductile metal with a coupled damage-plasticity model with several damage deactivation paths (2020)
  18. Jiao, Yang; Fish, Jacob: Coupled thermodynamically consistent thermo-mechanical model of silica glass subjected to hypervelocity impact (2020)
  19. Kadapa, Chennakesava; Hossain, Mokarram: A robust and computationally efficient finite element framework for coupled electromechanics (2020)
  20. Liedmann, Jan; Gerke, Steffen; Barthold, Franz-Joseph; Brünig, Michael: Shape optimization of the X0-specimen: theory, numerical simulation and experimental verification (2020)

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