Determination of the ultimate states of elastoplastic bodies
| Autor: | V. V. Alekhin, B. D. Annin, S. N. Korobeinikov |
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| Rok vydání: | 2000 |
| Předmět: |
Spatial variable
Ideal (set theory) Discretization Deformation (mechanics) Mechanical Engineering State (functional analysis) Physics::Classical Physics Condensed Matter Physics Nonlinear differential equations Matrix (mathematics) Mechanics of Materials Applied mathematics Quasistatic process Mathematics |
| Zdroj: | Journal of Applied Mechanics and Technical Physics. 41:937-944 |
| ISSN: | 1573-8620 0021-8944 |
| DOI: | 10.1007/bf02468741 |
| Popis: | The equations of quasistatic deformation of elastoplastic bodies are considered in a geometrical linear formulation. After discretization of the equations with respect to spatial variables by the finite-element method, the problem of determining equilibrium onfigurations reduces to integration of a system of nonlinear ordinary differential equations. In the ultimate state of a body of an ideal elastoplastic material, the matrix of the system degenerates and the problem becomes singular. A regularization algorithm for determining solutions of the problems for the ultimate states of bodies is proposed. Numerical solutions of test problems of determining the ultimate loads and equilibrium configurations for ideal elastoplastic bodies confirm the reliability of the regularization algorithm proposed. |
| Databáze: | OpenAIRE |
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