Computational Methods for Plasticity: Theory and ApplicationsJohn Wiley & Sons, 21 sept. 2011 - 816 pages The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book:
This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics. |
Table des matières
The finite element method in quasistatic nonlinear solid mechanics | |
Overview of the program structure | |
The mathematical theory of plasticity | |
Finite elements in smallstrain plasticity problems | |
hardening | |
Computations with other basic plasticity models | |
Finite strain hyperelasticity | |
EA de Souza Neto | |
Finite strain elastoplasticity | |
Finite elements for largestrain incompressibility | |
WILEY | |
Single crystals | |
A Isotropic functions of a symmetric tensor | |
B The tensor exponential | |
Plane stress plasticity | |
Advanced plasticity models | |
Viscoplasticity | |
Damage mechanics | |
Array notation for computations with tensors | |
Autres éditions - Tout afficher
Computational Methods for Plasticity: Theory and Applications Eduardo A. de Souza Neto,Djordje Peric,David R. J. Owen Affichage d'extraits - 2008 |
Computational Methods for Plasticity: Theory and Applications E. A. de Souza Neto,D. Peric,D. R. J. Owen Aucun aperçu disponible - 2008 |
Expressions et termes fréquents
analysis array axisymmetric behaviour Chapter components computational implementation configuration consistent tangent operator constitutive equations constitutive model convergence corresponding damage defined deformation gradient denotes derivative described deviatoric discretisation displacement Drucker–Prager eigenvalues elastic trial elasticity tensor elastoplastic Engng evolution exponential map expression F-bar elements finite element finite strain formulation Gauss point hyperelastic implicit incompressible incremental infinitesimal initial initial value problem integration algorithm internal variables isotropic isotropic hardening iteration kinematic kinematic hardening Kirchhoff stress large strain linear linear elastic linearised load material model matrix mesh Mises model Mohr–Coulomb Newton–Raphson nonlinear numerical obtained parameters plane strain plane stress plastic flow rule plastic strain plasticity models principal stress procedure program HYPLAS rate-independent representation return mapping return-mapping equations rotation Section shear Simo solution Souza Neto strain tensor stress tensor stretching subroutine symmetric theory three-dimensional uniaxial update formula value problem viscoplastic volumetric yield function yield stress yield surface Δγ