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工程力学  2015 

不同超弹性本构模型和多维应力下开裂能密度的计算方法

DOI: 10.6052/j.issn.1000-4750.2013.10.0990, PP. 197-205

Keywords: 橡胶隔振器,多轴应力,开裂能密度,计算方法,疲劳

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Abstract:

橡胶隔振器的疲劳失效多属于大变形(有限变形)下的多轴疲劳问题。在多轴疲劳载荷下,有效用来驱动裂纹扩展的那部分应变能密度称为开裂能密度。基于开裂能密度和橡胶材料的裂纹扩展特性预测橡胶部件的疲劳寿命时,须计算在外载荷下橡胶部件的开裂能密度。为了由有限元软件ABAQUS默认输出的应变计算在有限变形下的开裂能密度,该文推导了不同超弹性本构模型下开裂能密度在主坐标系下的计算式和所需的积分方法。基于该文开裂能密度的计算方法,采用3次Ogden本构来描述大变形下橡胶材料的本构行为,计算分析了不同应变状态下开裂能密度的分布特点。通过分析计算得到的开裂能密度与应变能密度的关系,说明该文开裂能密度计算方法的准确性。最后将上述计算方法应用到橡胶隔振器的多轴疲劳寿命预测中。

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