基于有限质点法的三维固体弹塑性问题求解

发布时间：2018-06-04 09:00

本文选题：有限质点法 + 结构复杂行为　；参考：《工程力学》2017年04期

【摘要】：有限质点法是一种新型的数值方法,可有效求解结构或机构的大变位、大变形及其相互耦合等复杂行为,目前已经应用于无穷小机构、可展结构、接触碰撞、结构倒塌破坏、结构屈曲、索杆结构、平面固体、膜结构的找形及褶皱、结构多尺度、结构精细化等方面的研究,均取得了较好的效果。为形成从平面固体到三维固体及弹塑性等问题的完整研究体系,该文基于有限质点法推导了一种适用于三维固体非线性问题分析的四面体固体元,并将其应用于弹塑性问题的求解。通过自编程序,分别计算静力,动力等经典算例,并将该方法的计算结果和有限元法及试验结果进行了对比。结果表明,该方法能够有效地求解三维固体的弹塑性等静动力问题。
[Abstract]:Finite particle method (FPM) is a new numerical method, which can effectively solve the complex behaviors of large displacement, large deformation and mutual coupling of structures or mechanisms. At present, it has been applied to infinitesimal mechanisms, deployable structures, contact collisions and structural collapses. Good results have been obtained in structural buckling, cable-bar structure, plane solid, shape finding and folding of membrane structure, multi-scale structure, fine structure and so on. In order to form a complete research system for the problems from plane solids to three-dimensional solids and elastic-plastic problems, a tetrahedron solid element is derived based on the finite particle method, which is suitable for the analysis of nonlinear problems of three-dimensional solids. It is applied to the solution of elastoplastic problems. The examples of static force and dynamic force are calculated by self-compiled program, and the results of this method are compared with the results of finite element method and test. The results show that the method can effectively solve the elastoplastic isostatic and dynamic problems of three dimensional solids.
【作者单位】：浙江大学空间结构研究中心;
【基金】：国家自然科学基金项目(51578494) 十三五国家重点研发计划课题项目(2016YFC0800206)
【分类号】：TU313

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