Abstract
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 Mróz translation rule is formulated and serves as a basis for the construction of the traditional return mapping schemes. The main differences 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 first 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, second-order-convergent multiaxial analysis using multilayer plasticity and they present an alternative to virtual bounding surface plasticity to which the examples are also compared.
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