| UNCONVENTIONAL GURTIN-TYPE VARIATIONAL PRINCIPLES FOR FINITE DEFORMATION ELASTODYNAMICS |
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| 引用本文： | Luo En Zhu Huijian (Department of Applied Mechanics and Engineering,Zhongshan University,Guangzhou 510275,China). UNCONVENTIONAL GURTIN-TYPE VARIATIONAL PRINCIPLES FOR FINITE DEFORMATION ELASTODYNAMICS[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 1-7. DOI: 10.1007/PL00013112 |
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| 作者姓名： | Luo En Zhu Huijian (Department of Applied Mechanics and Engineering Zhongshan University Guangzhou 510275 China) |
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| 作者单位： | Department of Applied Mechanics and Engineering，Zhongshan University，Guangzhou 510275，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Nos.10172097,19902022 and 19672074) |
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| 摘 要： | According to the basic idea of classical Yin-Yang complementarity and modern dual-complementarity,in a simple and unified new way proposed by Luo,the unconventional Gurtin-type variational prinicples for finite deformation elastodynamics can be established systemati-cally.In this paper,an important integral relation in terms of convolution is given,which canbe considered as the expression of the generalized principle of virtual work for finite deformationdynamics.Based on this relation,it is possible not only to obtain the principle of virtual work forfinite deformation dynamics,but also to derive systematically the complementary functionals forfive-field,three-field,two-field and one-field unconventional Gurtin-type variational principles bythe generalized Legendre transformations given in this paper.Furthermore,with this approach,the intrinsic relationship among various principles can be clearly explained.
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UNCONVENTIONAL GURTIN-TYPE VARIATIONAL PRINCIPLES FOR FINITE DEFORMATION ELASTODYNAMICS |
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| Luo En Zhu Huijian. UNCONVENTIONAL GURTIN-TYPE VARIATIONAL PRINCIPLES FOR FINITE DEFORMATION ELASTODYNAMICS[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 1-7. DOI: 10.1007/PL00013112 |
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| Authors: | Luo En Zhu Huijian |
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| Affiliation: | (1) Department of Applied Mechanics and Engineering, Zhongshan University, Guangzhou 510275, China, CN |
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| Abstract: | According to the basic idea of classical Yin-Yang complementarity and modern dual- complementarity,in a simple and unified new way proposed by Luo,the unconventional Gurtin- type variational prinicples for finite deformation elastodynamics can be established systemati- cally.In this paper,an important integral relation in terms of convolution is given,which can be considered as the expression of the generalized principle of virtual work for finite deformation dynamics.Based on this relation,it is possible not only to obtain the principle of virtual work for finite deformation dynamics,but also to derive systematically the complementary functionals for five-field,three-field,two-field and one-field unconventional Gurtin-type variational principles by the generalized Legendre transformations given in this paper.Furthermore,with this approach, the intrinsic relationship among various principles can be clearly explained. |
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| Keywords: | unconventional Gurtin-type variational principle finite deformation elastodynamits complementary relation initial-boundary-value problem |
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