Abstract
Goal-oriented a posteriori error estimators are presented in this contribution for the error obtained while approximately evaluating the J-integral, i.e. the material force acting at the crack tip, in nonlinear elastic fracture mechanics using the finite element method. The error estimators rest upon the strategy of solving an auxiliary dual problem and can be classified as equilibrated residual error estimators based on the solutions of Neumann boundary value problems on the element level. Finally, an illustrative numerical example is presented.
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