• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Engineering analysis with boundary elements >Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method
【24h】

Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method

机译：扩展的无网格Galerkin径向点插值方法在弹性固体中的裂纹扩展建模

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We present a new approach based on local partition of unity extended meshfree Galerkin method for modeling quasi-static crack growth in two-dimensional (2D) elastic solids. The approach utilizing the local partition of unity as a priori knowledge on the solutions of the boundary value problems that can be added into the approximation spaces of the numerical solutions. It thus allows for extending the standard basis functions by enriching the asymptotic near crack-tip fields to accurately capture the singularities at crack-tips, and using a jump step function for the displacement discontinuity along the crack-faces. The radial point interpolation method is used here for generating the shape functions. The representation of the crack topology is treated by the aid of the vector level set technique, which handles only the nodal data to describe the crack. We employ the domain-form of the interaction integral in conjunction with the asymptotic near crack-tip field to extract the fracture parameters, while crack growth is controlled by utilizing the maximum circumferential stress criterion for the determination of its propagating direction. The proposed method is accurate and efficient in modeling crack growths, which is demonstrated by several numerical examples with mixed-mode crack propagation and complex configurations.
机译：我们提出了一种基于局部扩展的统一扩展无网格Galerkin方法的新方法，该方法可对二维（2D）弹性固体中的准静态裂纹扩展进行建模。该方法利用统一的局部划分作为对边值问题解的先验知识，可以将其添加到数值解的近似空间中。因此，通过丰富渐近的裂纹尖端场以精确捕获裂纹尖端的奇点，并为沿裂纹面的位移不连续性使用跳跃阶跃函数，可以扩展标准基函数。此处使用径向点插值法生成形状函数。借助矢量水平集技术处理裂缝拓扑的表示，该技术仅处理描述裂缝的节点数据。我们利用相互作用积分的域形式结合渐近的近裂纹尖端场来提取断裂参数，而裂纹扩展是通过利用最大圆周应力准则来确定其传播方向来控制的。所提出的方法在裂纹扩展建模中是准确而有效的，这通过具有混合模式裂纹扩展和复杂配置的几个数值示例得到了证明。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号