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Analysis and application of the vector form intrinsic finite element for fracture and penetration of thin-membrane[J].计算力学学报,2018,35(3):315~320

Analysis and application of the vector form intrinsic finite element for fracture and penetration of thin-membrane
Analysis and application of the vector form intrinsic finite element for fracture and penetration of thin-membrane

DOI：10.7511/jslx20170227001

 作者 单位 王震 浙江省建筑设计研究院, 杭州 310006 赵阳 浙江大学 空间结构研究中心, 杭州 310058 杨学林 浙江省建筑设计研究院, 杭州 310006

向量式有限元基于牛顿运动定律，通过质点描述和向量分析来求解整体结构的动力响应。首先，给出了向量式有限元三角形薄膜单元的基本理论，进而针对薄膜结构的断裂和穿透破坏过程，提出相应解决方案。对于薄膜断裂问题，采用Mises应力状态变量达到失效应力限值作为断裂判据，通过质点分裂方式将相连单元的对应节点断开，并对分裂后的新质点进行状态更新来模拟其断裂过程；对于薄膜穿透问题，则同时结合碰撞和断裂过程模拟来实现。在此基础上，编制了薄膜结构的断裂和穿透求解计算程序，算例分析表明，程序可很好地完成薄膜结构的大变形大转动、断裂和穿透等不连续行为的模拟，验证了理论及程序的可靠性和有效性，体现了本文方法进行薄膜结构复杂不连续行为分析的优势。

Based on the Newton' s second law of motion, the Vector Form Intrinsic Finite Element (VFIFE) is a new method to obtain the dynamic response of a whole structure through the particle description and the vector analysis.The basic theory of the triangular membrane element based on VFIFE is given first.Then, for the fracture and the penetration damage processes, the corresponding process methods based on VFIFE of a membrane structure are presented.For the fracture problem, the von Mises stress is used as the fracture state parameter.When it reaches the failure stress value, the fracture of the corresponding node of membrane occurs.Through the particle splitting method to separate each failure node of corresponding elements and giving the updated state of corresponding particles, the fracture process of the membrane can be realized.For the penetration problem, the combination of the collision and the fracture mechanisms are adopted to achieve the penetration process of the thin-membrane structure.On this basis, a computer program of the fracture and the penetration analysis for triangular membrane element is developed and numerical examples are provided.It has been shown that, the whole process of simulation for the behaviors of the large deformation and large rotation, the fracture and the penetration processes can be well performed for membrane structures by the developed program, verifying the reliability and effectiveness of the theory and the program.It is shown that the VFIFE is advantageous in the analysis of complex discontinuous behavior for membrane structures.