Implicit algorithms for multilayer J2-plasticity

✍ Scribed by Francisco-Javier Montáns

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 484 KB
• Volume: 189
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00323-0

✦ Synopsis

In this paper two implicit algorithms for multilayer deviatoric plasticity based on the closest point projection iteration are introduced. The algorithmic elastoplastic tangents, in order to preserve the second-order convergence in Newton algorithms based on converged steps, are also developed. An implicit Mr oz translation rule is formulated and serves as a basis for the construction of the traditional return mapping schemes. The main dierences between the proposed procedures lay on a forward update of the active surface and the construction of the return mapping only at the end of the step or each time there is a surface update. The ®rst option yields a scheme closer to that of a virtual bounding surface model and to that of explicit algorithms while the second one contributes with a mathematically more attractive and robust layout. Both of them allow a way to perform implicit unconditionally-stable, secondorder-convergent multiaxial analysis using multilayer plasticity and they present an alternative to virtual bounding surface plasticity to which the examples are also compared.