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中文摘要：
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.
英文摘要：
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.
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同项目期刊论文
Application of the reproducing kernel particle method into the analysis of elasto-plastic deformatio
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