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R. Heuer:
"On Boundary Element Methods for Plane Imposed Strain Problems";
Talk: 20-th International Conference "Mathematical Modeling in Solid Mechanics. Boundary & Finite Element Methods", St-Petersburg, Russia (invited); 2003-09-24 - 2003-09-26.

The governing boundary integral equations for elasto-static problems are derived by means of the principle of virtual work without consideration of integral theorems. Extension to imposed strain problems follows directly by inserting the constitutive equations, where the imposed (e.g., inelastic) parts of strains are considered as fictitious sources of selfstress in the linear elastic background structure. Focusing on the evaluation of the domain integral, different approaches are discussed for the case of elastic-plastic plane problems. In case of straight bounded triangular (domain) elements, analytical solutions are evaluated. Finally, the present contribution introduces an alternative boundary method for plane imposed strain problems, a local boundary integral formulation, which was recently developed for linear and nonlinear potential problems.