Abstract
In this paper we solve via high order Runge-Kutta methods a set of coupled ordinary differential equations in which the constitutive relations of Tresca and Mohr-Coulomb materials in plain strate elastoplasticity has been transformed. In our comparisons we have included a low order modified Runge-Kutta method with phase-lag of order twelve. Conclusions on efficiency of the used methods have been made, based on extensive numerical tests.
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© 1997 Springer-Verlag Berlin Heidelberg
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Papakaliatakis, G., Simos, T.E. (1997). Integration of some constitutive relations of plain strain elastoplasticity using modified Runge-Kutta methods. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_115
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DOI: https://doi.org/10.1007/3-540-62598-4_115
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