Abstract
A path-following method that is based on controlling incremental plastic dissipation is presented. It can be applied for analysis of an elasto-plastic solid or structure. It can be also applied for complete failure computation of a solid or structure that is performed by using a material failure model. In this work, we applied it for computations with the embedded-discontinuity finite elements that use rigid-plastic cohesive laws with softening to model material failure process. The most important part of the path-following method is the constraint function. Several constraint functions are derived and proposed for geometrically nonlinear small strain elasto-plasticity with linear isotropic hardening. The constraint functions are also derived for the embedded-discontinuity finite elements. In particular, they are derived for 2-d solid (and frame) embedded-discontinuity finite elements that describe cohesive stresses (or forces and moments) in the discontinuity curve (or point) by rigid-plasticity with softening. Numerical examples are presented in order to illustrate performance of the discussed path-following method.
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Brank, B., Stanić, A., Ibrahimbegovic, A. (2016). A Path-Following Method Based on Plastic Dissipation Control. In: Ibrahimbegovic, A. (eds) Computational Methods for Solids and Fluids. Computational Methods in Applied Sciences, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-319-27996-1_2
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DOI: https://doi.org/10.1007/978-3-319-27996-1_2
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