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. Bishop, Joseph E.; Sukumar, N.: Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation (2020)
  2. Bui, Hoang-Giang; Schillinger, Dominik; Meschke, Günther: Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis (2020)
  3. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  4. 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)
  5. 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)
  6. 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)
  7. Lu, Kaizhou; Coombs, William M.; Augarde, Charles E.; Hu, Zhendong: An implicit boundary finite element method with extension to frictional sliding boundary conditions and elasto-plastic analyses (2020)
  8. Portillo, David; Oesterle, Bastian; Thierer, Rebecca; Bischoff, Manfred; Romero, Ignacio: Structural models based on 3D constitutive laws: variational structure and numerical solution (2020)
  9. van Tuijl, Rody A.; Remmers, Joris J. C.; Geers, Marc G. D.: Multi-dimensional wavelet reduction for the homogenisation of microstructures (2020)
  10. Zheng, Hong; Zhang, Tan; Wang, Qiusheng: The mixed complementarity problem arising from non-associative plasticity with non-smooth yield surfaces (2020)
  11. Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas: A hybrid high-order method for incremental associative plasticity with small deformations (2019)
  12. Ahmadian, Hossein; Yang, Ming; Nagarajan, Anand; Soghrati, Soheil: Effects of shape and misalignment of fibers on the failure response of carbon fiber reinforced polymers (2019)
  13. Alaimo, Gianluca; Auricchio, Ferdinando; Marfia, Sonia; Sacco, Elio: Optimization clustering technique for piecewise uniform transformation field analysis homogenization of viscoplastic composites (2019)
  14. Bouda, Pascal; Langrand, Bertrand; Notta-Cuvier, Delphine; Markiewicz, Eric; Pierron, Fabrice: A computational approach to design new tests for viscoplasticity characterization at high strain-rates (2019)
  15. Čermák, M.; Sysala, S.; Valdman, J.: Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems (2019)
  16. Franke, Marlon; Ortigosa, Rogelio; Janz, A.; Gil, A. J.; Betsch, P.: A mixed variational framework for the design of energy-momentum integration schemes based on convex multi-variable electro-elastodynamics (2019)
  17. Hudobivnik, Blaž; Aldakheel, Fadi; Wriggers, Peter: A low order 3D virtual element formulation for finite elasto-plastic deformations (2019)
  18. Iaconeta, I.; Larese, A.; Rossi, R.; Oñate, E.: A stabilized mixed implicit material point method for non-linear incompressible solid mechanics (2019)
  19. Iida, Ryoya; Onishi, Yuki; Amaya, Kenji: A stabilization method of F-barES-FEM-T4 for dynamic explicit analysis of nearly incompressible materials (2019)
  20. Korobeynikov, S. N.: Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill’s linear isotropic hyperelastic material models (2019)

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