论拖带坐标系中应力的客观速率

On the Objective Stress Rate in Co-Moving Coordinate System

摘要: 应力客观速率是有限变形力学中一个十分重要的问题,本文利用非线性几何场论方法,推导出拖带坐标系中应力客观速率公式,并应用新公式计算了拉伸、拉伸与转动复合、简单剪切大变形问题.通过将计算结果与用Jaumann等其它应力速率计算的结果进行比较,说明了本文所得结果是合理的.

Abstract: The objective stress rate is a rather important problem in mechanics of finite deformation. In this paper, the objective stress rate in co-moving coordinate is derived by applying nonlinear geometric field theory of deformation. Problems, such ax targe extension coupled with rotation, and large shear deformation, are exemplified by using the new formula. Comparing with Jaumann's stress rate and other formulae presented in current literature, the new result appears to be the reasonable one in co-moving coordinate system.

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