Integration of some constitutive relations of plane strain elastoplasticity using modified Runge-Kutta methods

Authors
Papakaliatakis, C Simos, TE
Citation
C. Papakaliatakis et Te. Simos, Integration of some constitutive relations of plane strain elastoplasticity using modified Runge-Kutta methods, CIV ENG E S, 16(2), 1999, pp. 77-92
Citations number
14
Categorie Soggetti
Civil Engineering
Journal title
CIVIL ENGINEERING AND ENVIRONMENTAL SYSTEMS
ISSN journal
10286608 → ACNP
Volume
16
Issue
2
Year of publication
1999
Pages
77 - 92
Database
ISI
SICI code
1028-6608(1999)16:2<77:IOSCRO>2.0.ZU;2-E
Abstract
In this paper we solve via high order Runge-Kutta methods and a new embedde d modified Runge-Kutta method with minimal phase-lag a set of coupled ordin ary differential equations in which the constitutive relations of Tresca an d Mohr-Coulomb materials in plane strain elastoplasticity has been transfor med. Conclusions on efficiency of the used methods have been made, based on extensive numerical tests.