Error estimation of stress intensity factors for mixed-mode cracks

Abstract : This paper presents an a posteriori error estimator for mixed-mode stress intensity factors in plane linear elasticity. A surface integral over an arbitrary crown is used for the separate calculation of the combined mode’s stress intensity factors. The error in the quantity of interest is based on goal-oriented error measures and estimated through an error in the constitutive relation.
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L. Gallimard, Julien Panetier. Error estimation of stress intensity factors for mixed-mode cracks. International Journal for Numerical Methods in Engineering, Wiley, 2006, 68 (3), pp.299-316. ⟨10.1002/nme.1705⟩. ⟨hal-00109713⟩

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