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Nonlinear analysis of shells with arbitrary evolving cracks using XFEM. (English) Zbl 1080.74043
Summary: A new formulation and numerical procedures are developed for the analysis of arbitrary crack propagation in shells using the extended finite element method (XFEM). The method is valid for completely nonlinear problems. Through-the-thickness cracks in sandwich shells are considered. An exact shell kinematics is presented, and a new enrichment of the rotation field is proposed which satisfies the director inextensibility condition. To avoid locking, an enhanced strain formulation is proposed for the 4-node cracked shell element. A finite strain plane stress constitutive model based on the logarithmic corotational rate is employed. A cohesive zone model is introduced which embodies the special characteristics of the shell kinematics. Stress intensity factors are calculated for selected problems, and crack propagation problems are solved.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74R10 Brittle fracture
74G70 Stress concentrations, singularities in solid mechanics
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