| 粘弹性大变形动力响应的有限元分析 |
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| 引用本文： | 李录贤,沈亚鹏.粘弹性大变形动力响应的有限元分析[J].计算力学学报,1994,11(4). |
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| 作者姓名： | 李录贤 沈亚鹏 |
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| 作者单位： | 西安交通大学工程力学研究所 |
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| 基金项目： | 航天部四院四十一所的资助 |
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| 摘 要： | 本文基于ＴｏｔａｌＬａｇｒａｎｇｉａｎ增量叠加方法，采用Ｋｉｒｃｈｈｏｆｆ应力增量和Ｇｒｅｅｎ应变增量表示的动力虚功方程和Ｋｉｒｃｈｈｏｆｆ应力－Ｇｒｅｅｎ应变的单积分型本构关系，导出粘弹性大变形的动力变分方程。依此采用Ｎｅｗｍａｒｋ法和八节点轴对称等参数元与二十节点三维等参数元编制了轴对称及三维问题的动力响应计算程序，典型例题的计算结果表明分析符合结构的物理性质。
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| 关 键 词： | 有限元 粘弹性 动力响应／大变形 |
Finite element analysis for viscoelastic large deformation dynamic response |
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| Li Luxian,Shen Yapeng.Finite element analysis for viscoelastic large deformation dynamic response[J].Chinese Journal of Computational Mechanics,1994,11(4). |
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| Authors: | Li Luxian Shen Yapeng |
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| Abstract: | Based on the Total Lagrangian(TL)incremental superimposing method,dynamic varia-tional equations for viscoelastic large deformation are derived by use of dynamic virtual equa-tions and single-integral-formed constitutive relations between Kirchhoff stresses and Greenstrains. According to these,making use of the Newmark algorithm and 8-node axi-symmet-ric and 3-D isoparametric elements,computer codes of dynamic responses for axis-symmetricand 3-D problems are developed.Numerical results for typical examples show that our analy-ses give a good agreement with the physical characteristics of the structures. |
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| Keywords: | finite element method viscoelasticty dynamic response/large deformation |
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