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首页> 外文期刊>Engineering analysis with boundary elements >An improved time domain meshfree method for analysis of quasi-static and dynamic inhomogeneous viscoelastic problems
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An improved time domain meshfree method for analysis of quasi-static and dynamic inhomogeneous viscoelastic problems

机译：一种改进的时域无网格方法，用于分析准静态和动态非均匀粘弹性问题

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摘要

An improved meshfree radial point interpolation method (RPIM) is formulated for quasi-static and dynamic analyses of 2D inhomogeneous viscoelastic solids. The presented improved RPIM is formulated in time domain, in which, there is no need for the viscoelastic material to obey the correspondence principle and therefore, all kinds of inhomogeneous viscoelastic materials can be analyzed by the method. The domain integrals, appeared in the proposed RPIM, are computed by the Cartesian transformation method (CTM), which is a truly meshfree integration technique. In the implementation of the CTM no background mesh is required and the domain integrals are computed accurately and efficiently. The accuracy of the method is studied by presenting several numerical examples. The results are compared with available analytic or numerical solutions and very good agreement is observed in all cases.
机译：提出了一种改进的无网格径向点插值方法（RPIM），用于二维非均匀粘弹性固体的准静态和动态分析。提出的改进型RPIM是在时域中制定的，其中不需要粘弹性材料遵守对应原理，因此，该方法可以分析各种不均匀的粘弹性材料。拟议的RPIM中出现的域积分是通过笛卡尔变换法（CTM）计算的，这是一种真正的无网格积分技术。在CTM的实现中，不需要背景网格，并且可以准确有效地计算域积分。通过给出几个数值例子来研究该方法的准确性。将结果与可用的解析或数值解进行比较，并在所有情况下均观察到很好的一致性。

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