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论文类型：期刊论文

发表时间：2012-01-01

发表刊物：MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

收录刊物：SCIE、EI

卷号：19

期号：1-3

页面范围：3-17

ISSN号：1537-6494

关键字：numerical methods; meshfree method; material discontinuity; ES-PIM; strain-smoothing; Analytical solution; sandwich beam

摘要：In this work, the edge-based smoothed point interpolation method (ES-PIM) is extended to treat material discontinuity problems. The PIM shape functions used in the ES-PIM possess the Delta function property, which allows straightforward imposition of point essential boundary conditions and, hence, no additional treatment needs to be applied along the interface to meet the interface condition. By performing the generalized strain smoothing operation within the edge-based smoothing domains, the ES-PIM models possess a number of good features compared with the standard FEM using the same set of linear triangular elements, such as better accuracy, higher convergence rate, and efficiency. Three typical numerical examples, including the benchmark sandwiches cantilever beam, a hollow cylinder with two different materials and an automotive part of complicated shape, have been studied using the present ES-PIM. Analytical solutions for the first two problems have also been derived and presented. Very good agreement between the numerical results and the given analytical reference solutions demonstrate the effectiveness of the present ES-PIM method.