基于Yeoh本构关系橡胶超弹性材料的无网格法分析  

The Meshless Method for Rubber Hyperelastic Material Based on Yeoh Mode Type Constitutive Laws

作　　者：赵光明[1] 宋顺成[2] 孟祥瑞[1] 

机构地区：[1]安徽理工大学能源与安全学院,安徽淮南232001 [2]西南交通大学应用力学与工程系,四川成都610031

出　　处：《应用基础与工程科学学报》2009年第1期121-127,共7页Journal of Basic Science and Engineering

基　　金：国家自然科学基金项目(50804003);安徽省优秀青年科技基金(08040106831);安徽省高校青年教师科研项目(2007jq10450);安徽理工大学引进人才基金(2006yb66);高校省级自然科学研究项目(KJ2008A125)

摘　　要：利用Yeoh本构模型来表示橡胶在大应变情况下的变形力学行为,通过应变能函数推导橡胶变形中的应力应变关系和切线刚度矩阵.根据本构关系特点,采用完全拉格朗日形式,在再生核质点法引入Yeoh本构模型来实现橡胶材料的数值分析,给出了橡胶材料再生核质点法的计算控制方程.通过对具体实例分析,表明了该方法具有较高的计算精度和较好的收敛性,可以有效避免橡胶材料大应变分析中的体积闭锁现象.The Yeoh mode type constitutive laws are used for charactering the deformation behaviors of rubber material under the large strain, and the strain energy function can be applied to deduce the stress-strain relations and tangent stiff matrix during deformation. For the peculiarity of constitutive models, the Total Lagrangian format is used for numerical calculations. The Yeoh mode type constitutive is inducted into the reproducing kernel particle method（ RKPM）, and the control equations for rubber material by RKPM can be deduced. The calculating results of concrete cases show that the method of RKPM for rubber material is valid and has advantages such as high calculation accuracy, good stability, the volumetric lock is efficiently avoided during the large stain analysis of rubber material.

关 键 词：橡胶 超弹材料 再生核质点法 体积闭锁 

分 类 号：O343.5[理学—固体力学]