| 板材成形无网格再生核质子法模拟中的接触处理 |
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| 引用本文： | 邢忠文,刘红生,杨玉英. 板材成形无网格再生核质子法模拟中的接触处理[J]. 机械工程学报, 2009, 45(6). DOI: 10.3901/JME.2009.06.060 |
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| 作者姓名： | 邢忠文 刘红生 杨玉英 |
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| 作者单位： | 哈尔滨工业大学机电学院,哈尔滨,150001;哈尔滨工业大学材料科学与工程学院,哈尔滨,150001 |
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| 摘 要： | 无网格法不依赖节点,且其形函数具有高阶连续性和非插值性。对板材成形数值模拟,无网格法比有限元法更具优势。接触处理是板材成形无网格数值模拟中的关键问题。构造稀疏"矩阵"加快接触搜索,重构再生核质子法(Reproducing kernel particle method,RKPM)形函数,并使之具有插值性,在此基础上建立材料形函数,精确施加板材成形中的本征边界条件,采用接触力计算模型导出节点接触力无网格表达式,可准确处理板材成形无网格法模拟中的接触问题。数值算例表明接触处理法是可靠的。
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| 关 键 词： | 无网格法 有限元法 稀疏" 矩阵" 本征边界条件 材料形函数 |
Treatment of Contact in Simulation of Sheet Metal Formulation Using Meshfree Reproducing Kernel Particle Method |
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| XING Zhongwen,LIU Hongsheng,YANG Yuying. Treatment of Contact in Simulation of Sheet Metal Formulation Using Meshfree Reproducing Kernel Particle Method[J]. Chinese Journal of Mechanical Engineering, 2009, 45(6). DOI: 10.3901/JME.2009.06.060 |
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| Authors: | XING Zhongwen LIU Hongsheng YANG Yuying |
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| Affiliation: | 1. School of Mechatronics Engineering;Harbin Institute of Technology;Harbin 150001;2. School of Materials Science and Engineering;Harbin 150001 |
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| Abstract: | Meshfree method depends on only nodes with high order continuous and non-interpolant shape function. According to the numerical simulation of sheet metal forming, meshfree methods have more advantages over finite element methods. However, the contact between tools and sheet metal in meshfree numerical simulation of sheet metal forming is a very important problem. A sparse "matrix" is constructed to fasten search. In order to impose essential boundary conditions exactly, shape function is reconstructed to be... |
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| Keywords: | Meshfree methods Finite element method Spare " matrix" Essential boundary condition Material shape function |
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