Integration of Tresca and Mohr-Coulomb constitutive relations in plane strain elastoplasticity

Autor: Scott W. Sloan, J. R. Booker
Rok vydání: 1992
Předmět:
Zdroj: International Journal for Numerical Methods in Engineering. 33:163-196
ISSN: 1097-0207
0029-5981
Popis: SUMMARY This paper considers the problem of integrating the constitutive relations for Tresca and Mohr-Coulomb materials under conditions of plane strain. In the case of a Tresca material, we show that the constitutive law may be integrated exactly by assuming the strain rates dE/dt to be constant. We also derive a semi-analytic method for integrating both types of constitutive law which assumes that the quantities d&/dl are constant. This approach is motivated by the fact that the exact variation of the strains during a time interval is unknown and leads to a single non-linear equation in a which can be solved efficiently to yield the unknown stresses. Finally, we compare the results from the analytic and semi-analytic methods with those from a variety of numerical integration schemes.
Databáze: OpenAIRE
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