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Bifurcation and stability of rigid-plastic material with work hardening

✍ Scribed by Ulrich Walter Stüssi

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
851 KB
Volume
21
Category
Article
ISSN
0013-7944

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✦ Synopsis

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 conditions to an eigenvalue problem. Four "regular" bifurcation modes and some "singular" modes result as eigenvectors. The corresponding bifurcation loads are compared with the bounds given by Hill's uniqueness criterion. Finally, the bifurcation modes are examined by means of a stability criterion with regard to their possible occurrence in actual tests.

📜 SIMILAR VOLUMES

Variational methods for fluids of Prandt
Variational methods for fluids of Prandtl–Eyring type and plastic materials with logarithmic hardening
✍ Martin Fuchs; Gregory Seregin 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 245 KB

We study the slow steady-state flow of a fluid of Prandtl-Eyring type and prove (partial) regularity of the strain velocity by investigating an appropriate variational problem. We further discuss local minimizers of variational integrals which occur in the theory of plasticity with logarithmic harde