弹塑性有限变形的广义Prandtl-Reuss本构方程和应力共旋率研究

沈利君; 潘立宙; 何福保

弹塑性有限变形的广义Prandtl-Reuss本构方程和应力共旋率研究

1.
宁波大学材料科学与力学研究中心, 浙江宁波 315211;
2.
上海大学, 上海市应用数学和力学研究所, 上海 200072

详细信息

中图分类号: O344
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出版历程
- 收稿日期: 1997-10-17
- 修回日期: 1998-05-11
- 刊出日期: 1998-08-15

Study on the Generalized Prandtl-Reuss Constitutive Equation and the Corotational Rates of Stress Tensor

1.
Materials Science and Mechanics Research Center, Ningbo University, Ningbo, Zhejiang 315211, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics; Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 本文通过一种新的途径研究弹塑性有限变形的广义Prandtl-Reus本构方程.研究表明对于广义Prandtl-Reus本构方程,变形率弹塑性和分解的假设并非必须.研究了采用物质共旋率的广义Prandtl-Reus本构方程,从理论上分析了简单剪切应力振荡的原因.提出一种用于构造广义Prandtl-Reus本构方程中应力和背应力共旋率的修正相对旋率.最后,对简单剪切变形进行应力计算.
- 弹塑性有限变形 /
- 广义Prandtl-Reuss本构方程 /
- 应力共旋率 /
- 剪切应力振荡
Abstract: In this paper,the generalized Prandtl-Reuss(P-R)constitutive equations of elastic-plastic material in the presence of finite deformations through a new approach are studied.I t analyzes the generalized P-R equation based on t he material corotational rate and clarifies the puzzling problem of the simple shear stress oscillation mentioned in some literature.The paper proposes a modified relative rotational rate with which to constitute the objective rates of stress in the generalized P-R equation and concludes that the decomposition of total deformation rate into elastic and plastic parts is not necessary in developing the generalized P-R equations.Finally,the stresses of simple shear deformation are worked out.
- finite elastic-plastic deformations /
- generalized Prandtl-Reuss constitutive equations /
- the corotational rates of stress tensor /
- simple shear stress oscillation

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参考文献(13)

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