| 王敏,王锡平,周慎杰.偶应力理论的无网格法[J].计算力学学报,2008,25(4): |
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| 偶应力理论的无网格法 |
| Meshless method for couple-stress theory |
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| DOI：10.7511/jslx20084089 |
| 中文关键词: 偶应力理论 无网格法 应力集中 尺寸效应 |
| 英文关键词:the couple stress theory,meshless method,stress concentration,size effect |
| 基金项目:国家自然科学基金 |
| 王敏 王锡平 周慎杰 |
| 山东大学土建与水利学院工程力学系，山东大学机械工程学院 |
| 摘要点击次数: 1230 |
| 全文下载次数: 11 |
| 中文摘要: |
| 根据偶应力理论的基本方程,在能量泛函中引入罚函数来满足偶应力理论的几何约束条件,从而得到偶应力理论的无网格法的控制方程.通过算例,分析了偶应力对带中心圆孔的无限平板在单轴拉伸及纯剪状态下的应力集中的影响,验证了该无网格方法的有效性和可行性. |
| 英文摘要: |
| In accordance with the basic equations of the couple stress theory,the penalty method is introduced into the energy functional to satisfy the geometrical constraint conditions of the couple stress theory.Then the control equation of meshless method for couple-stress theory is obtained.Lastly,numerical examples are given.The problems of the stress concentration around a central circular hole in a field of uniform tension and in a field of pure shear are solved.The results prove good feasibility and high efficiency of the present method. |
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