Finite Elements in Plasticity: Theory and Practice
Summary
This book by D. R. J. Owen and E. Hinton presents finite element techniques for material plasticity. It covers quasi-static incremental elasto-plastic analysis, elasto-viscoplastic analysis, beam and plate plasticity, two-dimensional continuum plasticity, and transient dynamic elasto-plastic analysis.
For this wiki, the source fills the theory-and-implementation gap between general Nonlinear Finite Element Analysis and production material pages such as Abaqus Metal Plasticity Models and Abaqus Geomaterial and Concrete Plasticity. It is especially useful for building a custom solver because it treats plasticity as an algorithmic finite element workflow: load/time increments, element integration, yield checks, flow rules, hardening variables, tangent or initial stiffness iterations, program modules, and benchmark-style input data.
Scope
The source is organized in three parts:
One-dimensional nonlinear problems, elasto-viscoplasticity, and elasto-plastic Timoshenko beam analysis.
Two-dimensional elasto-plastic and elasto-viscoplastic continuum analysis, including Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager yield criteria.
Elasto-plastic Mindlin plate bending and transient dynamic elasto-plastic analysis using explicit, implicit, and mixed implicit-explicit schemes.
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