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Advanced Modeling and Simulation in Engineering Sciences
Fig. 5 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 5

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

Fig. 5

Sets of enriched nodes around the crack. If the crack ends in the middle of the domain, additional enrichment functions are needed to model the singularity at the vicinity of the crack-tip. a illustration of the sets of nodes for a linear mesh (for which \(I_{CT} =I_{CT,1} \)), b Illustration of the sets of nodes for a quadratic mesh (for which \(I_{CT} =I_{CT,2} \)) and c Illustration of the sets \(I_{CT,1}\) and \(\delta I_{CT,1} \) for a quadratic mesh

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