Acceleration waves in one-dimensional plastic materials are investigated by the theory of singular points. The unloading wave propagates with a constant velocity, while the propagation velocity of the loading wave is less than that of the unloading wave and the velocity depends upon the stress and t
One-dimensional plastic materials with work-hardening
β Scribed by T. Tokuoka
- Book ID
- 104620196
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 350 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-0833
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β¦ Synopsis
A one-dimensional plastic material is proposed which shows isotropic and translational work-hardening. The tangential moduli of the stress and two internal state variables with respect to the strain are assumed to be functions of the stress and the internal state variables. Five constitutive assumptions are made and the resulting constitutive equations are similar to the equations of a three-dimensional rate-type plastic material in the case of uniaxial stress extension.
π SIMILAR VOLUMES
Bifurcation modes of a thick slab under plane strain conditions are considered. The slab is assumed to consist of a rigid-plastic strain-hardening material (isotropic, incompressible). The hyperbolic differential equations, solved by the method of d'Alembert, lead in connection with some continuity