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. Behzadinasab, Masoud; Alaydin, Mert; Trask, Nathaniel; Bazilevs, Yuri: A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics (2022)
  2. Li, Xiao; Zhai, Jiayin; Shen, Zhijun: An HLLC-type approximate Riemann solver for two-dimensional elastic-perfectly plastic model (2022)
  3. Mohseni-Mofidi, Shoya; Pastewka, Lars; Teschner, Matthias; Bierwisch, Claas: Magnetic-assisted soft abrasive flow machining studied with smoothed particle hydrodynamics (2022)
  4. Reinold, Janis; Meschke, Günther: A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations (2022)
  5. Stempin, Paulina; Sumelka, Wojciech: Space-fractional small-strain plasticity model for microbeams including grain size effect (2022)
  6. Toulopoulos, Ioannis: A model and numerical investigation for rolling metal process using continuous finite element discretizations (2022)
  7. Zheng, Hong; Chen, Qian: Dimension extending technique for constitutive integration of plasticity with hardening-softening behaviors (2022)
  8. Alaydin, M. D.; Benson, D. J.; Bazilevs, Y.: An updated Lagrangian framework for isogeometric Kirchhoff-Love thin-shell analysis (2021)
  9. Areias, P.; Rosa, P. A. R.; Rabczuk, T.: Fully anisotropic hyperelasto-plasticity with exponential approximation by power series and scaling/squaring (2021)
  10. Badia, Santiago; Caicedo, Manuel A.; Martín, Alberto F.; Principe, Javier: A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics (2021)
  11. Bryant, Eric C.; Sun, WaiChing: Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions (2021)
  12. Bui, Tinh Quoc; Tran, Hung Thanh: A localized mass-field damage model with energy decomposition: formulation and FE implementation (2021)
  13. Gazzola, Laura; Ferronato, Massimiliano; Frigo, Matteo; Janna, Carlo; Teatini, Pietro; Zoccarato, Claudia; Antonelli, Massimo; Corradi, Anna; Dacome, Maria Carolina; Mantica, Stefano: A novel methodological approach for land subsidence prediction through data assimilation techniques (2021)
  14. Grigorovitch, Marina; Gal, Erez; Waisman, Haim: Embedded unit cell homogenization model for localized non-periodic elasto-plastic zones (2021)
  15. Korobeynikov, S. N.: Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity (2021)
  16. Li, Chunguang; Li, Cuihua; Zheng, Hong: Subspace tracking method for non-smooth yield surface (2021)
  17. Li, Pengfei; Yvonnet, Julien; Combescure, Christelle; Makich, Hamid; Nouari, Mohammed: Anisotropic elastoplastic phase field fracture modeling of 3D printed materials (2021)
  18. Morikawa, Daniel S.; Asai, Mitsuteru: Coupling total Lagrangian SPH-EISPH for fluid-structure interaction with large deformed hyperelastic solid bodies (2021)
  19. 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)
  20. Ortigosa, R.; Martínez-Frutos, J.: Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains (2021)

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