| 杨海天,何宜谦,陈国胜.无网格伽辽金法求解平面偶应力问题[J].计算力学学报,2010,27(4):590~595 |
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| 无网格伽辽金法求解平面偶应力问题 |
| Solving couple-stress problem via element-free Galerkin method |
| 投稿时间：2008-10-27 |
| DOI：10.7511/jslx20104003 |
| 中文关键词: 偶应力 无网格伽辽金法 移动最小二乘 C1连续 |
| 英文关键词:couple stress element-free Galerkin method moving least squares C1 continuity |
| 基金项目:国家自然科学基金(10772035,10721062,10472019);973项目(2005CB321704);辽宁省中青年学术带头人基金资助项目. |
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| 中文摘要: |
| 提出采用无网格伽辽金法(EFGM)求解偶应力问题,以避免有限元求解中因C1连续要求可能引起的不便。推导了基于二次基和移动最小二乘技术的EFGM计算公式,通过计算受轴向均匀拉伸的带中心小孔无限大板和细长杆的偶应力问题,对所提方法进行了数值验证,与解析解相比结果令人满意,此外还讨论了节点密度和权函数对计算结果的影响。数值结果表明,所提算法可有效地求解平面偶应力问题。 |
| 英文摘要: |
| This paper suggests modeling couple-stress problem via element-free Galerkin method (EFGM), so as to avoid the inconvenience that may be caused by C1 continuity requirement in the implementation of FEM. A quadratic basis and moving least squares (MLS) technique based EFG formula is derived. Numerical verification is provided via an infinite plane with a small hole and a long strip subjected to uniform extensions. In comparison with analytical solutions, the results are satisfactory. In addition, the impacts of node density and weight function on the solutions are discussed. The computational results indicate the proposed model is available for solving couple stress problems. |
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