Abstract
A semi-analytic solution for plane strain bending under tension of a sheet is proposed for elastic-plastic, isotropic, incompressible, strain hardening material with damage evolution at large strains using a Lagrangian coordinate system. Numerical treatment is only necessary to evaluate ordinary integrals and solve transcendental equations. No restriction is imposed on the hardening law. Quite a general uncoupled continuum damage evolution model independent of the third invariant of the stress tensor is used. It is shown that the solution for the model adopted is facilitated by choosing the equivalent plastic strain as one of the independent variables. An illustrative example is provided for Swift’s hardening law and two widely used damage evolution equations.
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