| 非线性弹性及全量弹塑性有限元分析中的一致性切线模量 |
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| 引用本文： | 魏祖健,黄文彬.非线性弹性及全量弹塑性有限元分析中的一致性切线模量[J].应用力学学报,1992(1). |
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| 作者姓名： | 魏祖健 黄文彬 |
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| 作者单位： | 北京农业工程大学
(魏祖健)，北京农业工程大学(黄文彬) |
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| 摘 要： | 本文导出了非线性弹性及全量弹塑性有限元分析中的一致性切线模量,从而可以保持牛顿迭代法固有的平方收敛速度.指出了某些文献中关于切线模量的不正确表述,并以数值算例验证了本文方法的正确有效.
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| 关 键 词： | 有限元法 非线性弹性 全量弹塑性 牛顿迭代法 一致性切线模量 |
Consistent Tangent Moduli for Finite Element Analysis of Nonlinear Elasticity or Total Elastoplasticity |
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| Wei Zujian Huang Wenbin.Consistent Tangent Moduli for Finite Element Analysis of Nonlinear Elasticity or Total Elastoplasticity[J].Chinese Journal of Applied Mechanics,1992(1). |
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| Authors: | Wei Zujian Huang Wenbin |
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| Institution: | Beijing Nongyie Gongcheng Daxue |
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| Abstract: | Consistent tangent moduli for finite element analysis of nonlinear elasticity or total elastoplasticity are deduced to preserve the asymptotic rate of quadratic convergency possessed by the Newton iteration method. Some misunderstanding about the tangent moduli in previous references are pointed out, and numerical tests are given to show the simplicity and effectiveness of the present method. |
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| Keywords: | finite element method nonlinear elasticity total elastoplasticity Newton iteration consistent tangent moduli |
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