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| A meshless weak-strong form method for elasto-static problems |
| Received:October 08, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105004 |
| KeyWord:meshless method MLS strong-form local weak-form second order derivatives |
| Author | Institution |
| 肖毅华 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
| 胡德安 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
| 韩旭 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
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| Abstract: |
| A meshless weak-strong form method based on an improved moving least square approximation of second order derivatives (MLS-MWS) is developed for solving elasto-static problems. It uses a set of nodes to discretize the problem domain and the MLS method to construct shape functions. The problem domain in this method is divided into two regions, boundary region and interior region. The local weak-form and strong-form of the governing equations are applied for the nodes in these two regions, respectively, when establishing the discrete system equations. Due to the strong-form involves evaluating the second order derivatives of approximation function, a sequence of two first order differentiation scheme is proposed, which provides more simple calculation and better accuracy than the traditional methods. The MLS-MWS method combines advantages of both weak- and strong-form meshless methods, which satisfies Neumann boundary conditions naturally and only requires numerical integration in the boundary region. With the presented method, two numerical examples of the elasticity plane problem are studied. The numerical results show that it can give good computational accuracy and rate of convergence. |
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