INTEGRATION OF SOME CONSTITUTIVE RELATIONS OF PLANE STRAIN ELASTOPLASTICITY USING MODIFIED RUNGE-KUTTA METHODS
- 1 April 1999
- journal article
- research article
- Published by Taylor & Francis in Civil Engineering and Environmental Systems
- Vol. 16 (2) , 77-92
- https://doi.org/10.1080/02630259908970254
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
This publication has 10 references indexed in Scilit:
- A family of embedded Runge-Kutta formulaePublished by Elsevier ,2006
- A reconsideration of some embedded Runge—Kutta formulaePublished by Elsevier ,2002
- Runge-Kutta interpolants with minimal phase-lagComputers & Mathematics with Applications, 1993
- Integration of Tresca and Mohr–Coulomb constitutive relations in plane strain elastoplasticityInternational Journal for Numerical Methods in Engineering, 1992
- Some Runge–Kutta Formula PairsSIAM Journal on Numerical Analysis, 1991
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating SolutionsSIAM Journal on Numerical Analysis, 1987
- High order embedded Runge-Kutta formulaeJournal of Computational and Applied Mathematics, 1981
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation ErrorSIAM Journal on Numerical Analysis, 1978
- Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf WärmeleitungsproblemeComputing, 1970
- Error estimates for Runge-Kutta type solutions to systems of ordinary differential equationsThe Computer Journal, 1969