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- Title
On a mechanical analogy in the ideal plasticity theory.
- Authors
Alekhin, V. V.; Annin, B. D.; Ostapenko, V. V.
- Abstract
The Cauchy problem of propagation of plastic state zones in a boundless medium from the boundary of a convex surface, along which normal pressure and shear forces act, is considered. In the case of complete plasticity, the Tresca system of quasi-static equations of ideal plasticity, which describes the stress-strain state of the medium, is known to be hyperbolic and to be similar to a system that describes a steady-state flow of an ideal incompressible fluid. This system is numerically solved with the use of a difference scheme applied for hyperbolic systems of conservation laws. Results of numerical calculations are presented.
- Subjects
DEFORMATIONS (Mechanics); NUMERICAL analysis; PLASTICS; MATERIAL plasticity; ELASTICITY
- Publication
Journal of Applied Mechanics & Technical Physics, 2008, Vol 49, Issue 4, p580
- ISSN
0021-8944
- Publication type
Article
- DOI
10.1007/s10808-008-0075-6