Accurate evaluation of mixed-mode intensity factors of cracked shear-deformable plates by an enriched meshfree Galerkin formulation
Accurate evaluation of mixed-mode intensity factors of cracked shear-deformable plates by an enriched meshfree Galerkin formulation
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DOI：
10.1007/s00419-016-1193-x
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发表时间：
2016-10
影响因子：
2.8
通讯作者：
S. Tanaka;H. Suzuki;S. Sadamoto;S. Okazawa;T. Yu;T. Bui
中科院分区：
文献类型：
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作者：
S. Tanaka;H. Suzuki;S. Sadamoto;S. Okazawa;T. Yu;T. Bui
基于再生核质点法，提出了一种新的无网格离散方法，用于精确求解含裂纹剪切变形板的混合模态强度因子。采用Mindlin-Reissner板理论求解Galerkin列式中考虑横向剪切变形的裂纹板问题。在裂缝建模的无网格插值中，引入了绕射法、可见性准则和丰富基。在这项工作中，数值积分处理使用稳定协调节点积分（SCNI）和子域稳定协调积分（SSCI）。采用J积分（围道积分）分析断裂力学参数。因此，采用SCNI/SSCI来计算轮廓积分，并将原始J积分分解为对称和非对称J积分值。通过将平滑的位移、力矩和剪力量分解为对称/非对称部分来计算它们。此外，引入位移比法将非对称J积分值分解为相应的弯矩强度因子和剪力强度因子。强度因子的准确性和混合模式断裂问题中的路径无关的属性严格检查通过几个数值例子。
A novel meshfree discretization technique in terms of the reproducing kernel particle method is presented for accurately evaluating mixed-mode intensity factors of cracked shear-deformable plates. Mindlin–Reissner plate theory is adopted to solve the cracked plates problem in the Galerkin formulation, considering transverse shear deformation. The diffraction method, visibility criterion and enriched basis are included in the generation of meshfree interpolants for the modeling of fracture. In this work, numerical integration is treated using the stabilized conforming nodal integration (SCNI) and subdomain stabilized conforming integration (SSCI). TheJ-integral (contour integral) is employed to analyze the fracture mechanics parameters. SCNI/SSCI is thus adopted to evaluate the contour integral and to split the originalJ-integral into symmetric and asymmetricJ-integral values. They are calculated by decomposing the smoothed displacement, moment and shear force quantities into symmetric/asymmetric parts. In addition, a displacement ratio method is introduced to divide the asymmetricJ-integral value into corresponding moment and shear force intensity factors. The accuracy of the intensity factors and the path-independent properties in mixed-mode fracture problems are critically examined through several numerical examples.