A Meshfree Thin Shell for Arbitrary Evolving Cracks Based on An Extrinsic Basis

作者: Timon Rabczuk , Pedro Areias

DOI: 10.3970/CMES.2006.016.115

关键词: MathematicsCompleteness (order theory)Third orderMeshfree methodsFinite strain theoryMathematical analysisShell (structure)Path (graph theory)Basis (linear algebra)Numerical analysis

摘要: This paper proposes a meshfree method for arbitrary evolving cracks in thin shells. The approach is an improvement of the proposed by Rabczuk T., Areias P.M.A., Belytschko T. (A shell large deformation, finite strain and cracks, International Journal Numerical Methods Engineering). In above cited paper, was developed based on intrinsic basis third order completeness. Third completeness necessary to remove membrane locking. resulted use very domains influence that made computationally expensive. If crack modelled set cracked particles where introduced through entire domain influence, fine resolution needed capture path. We will modify extrinsic increase approximation. advantage saving computational cost due smaller influences coarser resolutions applied several problems shows good agreement with experimental results. keyword: methods, cohesive models, KL constraint, shell, basis.

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