Elastic–plastic void expansion in near-self-similar shapes

• Published in: Computational materials science Vol. 50; no. 11; pp. 3105 - 3109
• Main Author: Tvergaard, Viggo
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.10.2011; Elsevier
• Subjects: Convergence; Creep (materials); Exact sciences and technology; Finite strains; Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Nonlinearity; Physics; Plasticity; Power law; Self-similarity; Solid mechanics; Strain; Strain hardening; Structural and continuum mechanics; Void shapes; Voids; Void shapes; Finite strains; Plasticity; Self-similarity; High strain; Self-similiar states; Elastoplasticity; Iterative method; Non linear effect; Cavitation; Strain hardening
• ISSN: 0927-0256; 1879-0801
• DOI: 10.1016/j.commatsci.2011.05.034

► For void growth in an elastic-plastic strain hardening material the preferred shape of the void is calculated. ► In axisymmetric cell models with a very small initial void size, growth by four orders of magnitude is considered. ► An iterative procedure is used until the final void shape and the initial void shape are identical. ► The results for near-self-similar growth are compared with self-similar shapes found for nonlinear viscous solids. For void growth in an elastic–plastic strain hardening material the preferred shape of the void is calculated, dependent on the macroscopic stress state. Axisymmetric cell model analyses are carried out with a very small initial void size relative to the cell dimensions. Large deformations of the material around the void are modeled until the void volume is four orders of magnitude larger than the initial volume. An iterative procedure is used until the final void shape and the initial void shape are identical. Even when this convergence has been obtained, the void shape does not stay constant during the growth. Thus, the shapes found give only approximately self-similar growth. The results are compared with self-similar shapes determined previously for nonlinear viscous solids, subject to power law creep. For the time independent elastic–plastic material considered here the effect of the strain hardening level and of the initial yield strain are studied.