Transfer operators for evolving meshes in small strain elasto-plasticity

• Published in: Computer methods in applied mechanics and engineering Vol. 137; no. 3-4; pp. 331 - 344
• Main Authors: PERIC, D, HOCHARD, C, DUTKO, M, OWEN, D. R. J
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier 1996
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Physics; Solid mechanics; Structural and continuum mechanics; Viscoelasticity, plasticity, viscoplasticity; Finite element method; Plasticity; Theoretical study; Strain distribution; Plastic deformation; Non linear mechanics; Mesh method
• ISSN: 0045-7825; 1879-2138

Together with error evaluation and mesh refinement, transfer operators represent the essential component of the adaptive procedure applied to history-dependent materials. Aspects of the transfer operation discussed in this work relate to: equilibrium conditions, consistency with the constitutive equation, geometric issues and diffusion of state variables between successive meshes. In this paper attention is restricted to small strain rate-independent elasto-plasticity. Numerical examples are presented to illustrate some practical features of the computational procedure.