| 一般硬化材料弹塑性旋转盘的变分解法 |
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| 引用本文： | 吴国勋,张行.一般硬化材料弹塑性旋转盘的变分解法[J].北京航空航天大学学报,1993(2):61-67. |
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| 作者姓名： | 吴国勋 张行 |
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| 作者单位： | 北京航空航天大学飞行器设计与应用力学系
(吴国勋)，北京航空航天大学飞行器设计与应用力学系(张行) |
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| 摘 要： | 首先在小弹塑性范围内用应变的奇次四项式相当精确地拟合一般硬化材料的拉伸曲线;再在体积不变条件下用弹性位移场的已知模态和一待定幅值构成弹塑性位移场;最后用势能原理确定该幅值而得到封闭解。
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| 关 键 词： | 弹塑性位移场 势能原理 旋转盘 |
A VARIATIONAL METHOD OF SOLUTION ABOUT ROTATING DISK IN ELASTO-PLASTIC RANGE WITH ARBITRARY HARDENING BEHAVIOUR |
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| Wu Guoxun Zhang Xing.A VARIATIONAL METHOD OF SOLUTION ABOUT ROTATING DISK IN ELASTO-PLASTIC RANGE WITH ARBITRARY HARDENING BEHAVIOUR[J].Journal of Beijing University of Aeronautics and Astronautics,1993(2):61-67. |
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| Authors: | Wu Guoxun Zhang Xing |
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| Institution: | Dept.of Flight Vehicle Design and Applied Mech. |
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| Abstract: | This paper pressents a polynomial with four odd terms to fit the stress-strain relation for the materials with arbitrary hardening behaviour in the region of small elasto-plastic deformation. Under the condition without volume dilatation the field of elasto-plastic displacements is established by using the known elastic modes and an unknown amplitude. Finally the closed solution about the amplitude is obtained from the principle of the minimum potential energy. |
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| Keywords: | field of elastic displacement field of elasto-plastic displacement principle of minimum potential energy |
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