A Meshfree Thin Shell for Arbitrary Evolving Cracks Based on An Extrinsic Basis
A Meshfree Thin Shell for Arbitrary Evolving Cracks Based on An Extrinsic Basis
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DOI：
10.3970/cmes.2006.016.115
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发表时间：
2006-12
影响因子：
2.4
通讯作者：
T. Rabczuk;P. Areias
中科院分区：
文献类型：
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作者：
T. Rabczuk;P. Areias
本文提出了一种求解薄壳中任意扩展裂纹的无网格方法。该方法是Rabczuk T.提出的方法的改进，Areias P.M.A.贝利奇科（A meshfree thin shell for large deformation，finite strain and arbitrary evolving cracks，International Journal for Numerical Methods in Engineering）.在上面引用的论文中，基于三阶完备性的内在基础开发了壳。三阶完整性是必要的，以消除膜锁定。这导致使用非常大的影响域，使得该方法在计算上昂贵。如果裂纹是由一组裂纹粒子的裂纹是通过整个域的影响，一个非常精细的分辨率被需要捕捉到的裂纹path.We将修改的方法，并使用一个外部的基础，以增加近似的完整性的顺序。该方法的优点是由于较小的影响域和较粗的分辨率来捕获裂纹路径，从而节省了计算成本。关键词：无网格法，裂纹，内聚模型，KL约束，壳，外基。
This paper proposes a meshfree method for arbitrary evolving cracks in thin shells. The approach is an improvement of the method proposed by Rabczuk T., Areias P.M.A., Belytschko T. (A meshfree thin shell for large deformation, finite strain and arbitrary evolving cracks, International Journal for Numerical Methods in Engineering). In the above cited paper, a shell was developed based on an intrinsic basis of third order completeness. Third order completeness was necessary to remove membrane locking. This resulted in the use of very large domains of influence that made the method computationally expensive. If the crack was modelled by a set of cracked particles where the crack is introduced through the entire domain of influence, a very fine resolution was needed to capture the crack path. We will modify the method and use an extrinsic basis to increase the order of completeness of the approximation. The advantage is the saving in computational cost due to smaller domain of influences and coarser resolutions to capture the crack path. The method is applied to several crack problems and shows good agreement with experimental results. keyword: meshfree methods, cracks, cohesive models, KL constraint, shell, extrinsic basis.