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Advanced Modeling and Simulation in Engineering Sciences
Fig. 36 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 36

From: On the construction of approximation space to model discontinuities and cracks with linear and quadratic extended finite elements

Fig. 36

Convergence analysis of stress intensity factor for the mode I problem. Stress Intensity Factors (SIF) are estimated with a domain integral method (G-theta method [42, 43]). The “bubble” formulation with quadratic elements reaches the limit of numerical accuracy of the estimator used so that a convergence analysis cannot be performed here. For formulations with linear elements, the convergence rates are close to the optimal rate of convergence with mesh refinement, around 2

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