Summary
A symmetric/sign-definite formulation of the BEM to address the evolutive elastic plastic analysis of structures is presented. A wide class of material models with internal variables and thermodynamic potential is considered. Different energy methods—namely the boundary min-max principle, the Helmholtz free energy and the maximum intrinsic dissipation theorem—axe employed in order to provide the discretization operations by boundary elements and cell elements with inherent variational consistency. The resulting space-discretized equations can be solved by a step-by-step procedure and a predictor/corrector iteration scheme, with corrections operated locally cell-by-cell, just as with the FEM. Also, a tangent pseudo-stiffness matrix of the boundary nodes, accounting for the current plastic state of the interior elements, is introduced.
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Polizzotto, C., Panzeca, T., Zito, M. (1993). A Consistent Boundary/Interior Element Method for Evolutive Elastic Plastic Structural Analysis. In: Kane, J.H., Maier, G., Tosaka, N., Atluri, S.N. (eds) Advances in Boundary Element Techniques. Springer Series in Computational Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51027-4_17
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