| 一般硬化材料弹塑性梁的工程解法 |
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| 引用本文： | 吴国勋,张行.一般硬化材料弹塑性梁的工程解法[J].北京航空航天大学学报,1992(4):62-67. |
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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汁与应用力学系
(吴国勋)，北京航空航天大学飞行器设汁与应用力学系(张行) |
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| 摘 要： | 在小弹塑性变形范围内,首先将应力写成应变的奇次四项式的幂函数形式。使其相当精确地拟合材料的拉伸曲线。然后,应用弹性梁的位移模态和一待定系数构成弹塑性位移场。并用最小势能原理确定该系数,从而得到封闭解。最后,给出若干典型算例和实验验证。实验结果和理论结果吻合得很好。
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| 关 键 词： | 弹性位移模态 最小势能 弹塑性梁 |
AN ENGINEERING SOLUTION OF ELASTO-PLASTIC BEAMS MADE OF GENERAL HARDENING MATERIALS |
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| Wu Guoxun Zhang Xing.AN ENGINEERING SOLUTION OF ELASTO-PLASTIC BEAMS MADE OF GENERAL HARDENING MATERIALS[J].Journal of Beijing University of Aeronautics and Astronautics,1992(4):62-67. |
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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 presents the odd function with four terms which can be used to make the curve fitting of the stress-strain for various materials precisely.Furthermore,the displacement modes of elastic beams and the unknown coefficients are introduced to form the elasto-plastic displacement field.According to the principle of minimum potential energy,the unknown coefficients as well as the close solution can be determined.Several examples are taken to be investigated by using this method.Good agreement is obtained from the theoritical and experimental results. |
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| Keywords: | displacement mode of elastic elasto-plastic displacement field principle of minimum potential energy |
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