简单剪切有限塑性内时理论分析

基金项目: 国家自然科学基金资助项目(19762002);江西省自然科学基金资助项目;教育部骨干教师基金资助项目;江西省材料中心基金资助项目

Analysis of Simple Shear Endochronic Equations for Finite Plastic Deformation

1.
Department of Material Science and Engineering, Nanchang Institute of Aeronautical Technology, Nanchang 330034, P. R. China;
Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P. R. China

摘要: 在有限塑性内时理论中引入Jaumann率、广义Jaumann率、扶率及Wu率，并以此分析了简单剪切大变形问题．结果验证了简单剪切变形中，采用次弹性或内时刚塑性材料的Jaumann率客观模型，随单调递增的剪切变形剪切应力和法向应力都会出现振荡现象．这说明振荡现象的出现不取决于弹塑性模型，而与选取不同的客观率有很大的关系．同时指出在简单剪切大变形时，法向应力并不为零．
- 有限变形 /
- 内时理论 /
- 简单剪切振荡 /
- 客观率
Abstract: Jaumann rate,generalized Jaumann rate,Fu rate and Wu rate were incorporated into endochronic equations for finite plastic deformation to analyze simple shear finite deformation.The results show that an oscillatory shear stress and normal stress response to a monotonically increasing shear strain occurs when Jaumann rate objective model is adopted for hypoelastic or endochronic materials.The oscillatory response is dependent on objective rate adopted,independent on elastoplastic models.Normal stress is unequal to zero during simple shear finite deformation.
- finite deformation /
- endochronic equation /
- simple shear oscillation /
- objective rate

[1]	杨德品，扶名福.连续介质力学[M].南昌：江西高校出版社，1992.
[2]	Wu H C, Lu J K, Pan W F.Endochronic equations for finite plastic deformation and application to metal tube under torsion[J].Int J Solids Structures,1995,32(8/9):1079—1097. doi: 10.1016/0020-7683(94)00184-X
[3]	陈良森，赵兴华，扶名福.简单剪切振荡现象及弹塑性本构的限制条件[J].应用数学和力学，1999，[STHZ]. 20（6）:559—568.
[4]	范镜泓，高芝晖.非线性连续介质力学基础[M].重庆：重庆大学出版社，1987.
[5]	扶名福，杨德品，黄模佳.有限变形模糊塑性损伤弹塑性[M].北京：航空工业出版社，1995.
[6]	Im S,Atluri S N. A study of two finite strain plasticity models: an internal time theory using model's director concept and general isotropic/kinematic-hardening theory[J].Int J Plasticity,1987,3(2):163—191. doi: 10.1016/0749-6419(87)90005-2

点击查看大图