• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >A new scaled boundary finite element formulation for the computation of singularity orders at cracks and notches in arbitrarily laminated composites
【24h】

A new scaled boundary finite element formulation for the computation of singularity orders at cracks and notches in arbitrarily laminated composites

机译：计算任意层合复合材料裂纹和缺口奇异阶的新的比例边界有限元公式

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

A new formulation of the scaled boundary finite element method (SBFEM) is presented for the static analysis of composites in the framework of classical laminated plate theory. In the SBFEM, the domain is described by the mapping of its boundary with respect to a scaling centre. Therefore, only the boundary needs to be discretised. A local coordinate system is introduced, where a scaling coordinate measures the distance from the scaling centre to the boundary and the other coordinate describes the circumferential direction along the boundary. The displacements are approximated as products of displacement shape functions and unknown functions of the scaling coordinate. Via the virtual work principle, a system of ordinary differential equations for the determination of the unknown displacement functions is obtained, which can be solved in a closed-form analytical manner. Element stiffness matrices for bounded and unbounded domains can be computed, using appropriate subsets of the solution. In the case of cracked composites, the SBFEM enables the effective and precise calculation of singularity orders of stresses, if the scaling centre is selected at the crack tip. Numerical examples show the accuracy and efficiency of the scaled boundary finite element method applied to laminated plate bending problems. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在经典层压板理论的框架内，提出了一种用于复合材料静力分析的比例边界有限元方法（SBFEM）的新公式。在SBFEM中，通过相对于缩放中心的边界映射来描述域。因此，仅需要离散边界。引入了局部坐标系，其中缩放坐标测量从缩放中心到边界的距离，另一个坐标描述沿边界的圆周方向。位移近似为位移形状函数和缩放坐标的未知函数的乘积。通过虚拟工作原理，获得了用于确定未知位移函数的常微分方程系统，该系统可以采用封闭形式的解析方式求解。使用解决方案的适当子集，可以计算有界和无界域的单元刚度矩阵。对于开裂的复合材料，如果在裂纹尖端选择了缩放中心，则SBFEM可以有效且精确地计算应力的奇异阶数。数值算例表明了比例边界有限元法应用于叠层板弯曲问题的准确性和效率。 （C）2015 Elsevier Ltd.保留所有权利。

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