INTEGRATION OF SOME CONSTITUTIVE RELATIONS OF PLANE STRAIN ELASTOPLASTICITY USING MODIFIED RUNGE-KUTTA METHODS

Abstract

In this paper we solve via high order Runge-Kutta methods and a new embedded modified Runge-Kutta method with minimal phase-lag a set of coupled ordinary differential equations in which the constitutive relations of Tresca and Mohr-Coulomb materials in plane strain elastoplasticity has been transformed. Conclusions on efficiency of the used methods have been made, based on extensive numerical tests.

Keywords:

• Plane strain elastoplasticity
• Tresca constitutive relation
• Mohr-Coulomb
• constitutive relation
• Runge-Kutta methods
• phase-lag

Additional information

Notes on contributors

T. E. SIMOS

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