Plasticity TheoryThis self-contained text for advanced undergraduate and graduate students is devoted to classical quasistatic problems of rate-independent plasticity theory. It discusses the finite element method for both viscoplastic and rate-independent plastic solids, in addition to large deformation plasticity numerical methods for rate-based formulations and hyperelastic methods. 1990 edition. |
Other editions - View all
Common terms and phrases
Appl associated flow rule assumed axial force beam behavior bending body collapse load components compression constant cross-section curve defined denoted derived dislocation displacement field elastic strain elastic-plastic equilibrium equations Eulerian function given hardening incremental indicial notation inelastic inequality infinitesimal internal variables isotropic Lagrangian linear lower bound M₂ material matrix Mech mechanism Mises modulus notation obtained perfectly plastic plane strain plane stress plastic deformation plastic dissipation plastic hinge plastic strain plastic zone plate Prager pressure principle problem region result rotation Section shear stress shell shown in Figure simple shear slip solid solid mechanics solution statically statically determinate strain rate strain tensor stress field stress-strain curve stress-strain relation symmetric temperature tensor theorem theory torsion uniaxial upper bound vector velocity field virtual viscoplasticity wave work-hardening yield criterion yield locus yield stress yield surface zero