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| Some basic principles in dynamic theory of viscoelastic materials with voids | |
| 引用本文： | LUO En & LI WeiHua Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China. Some basic principles in dynamic theory of viscoelastic materials with voids[J]. 中国科学G辑(英文版), 2007, 50(3): 370-378. DOI: 10.1007/s11433-007-0026-x |
| 作者姓名： | LUO En & LI WeiHua Department of Applied Mechanics and Engineering Sun Yat-sen University Guangzhou 510275 China |
| 作者单位： | LUO En & LI WeiHua Department of Applied Mechanics and Engineering，Sun Yat-sen University，Guangzhou 510275，China |
| 基金项目： | 国家自然科学基金;教育部高等学校博士学科点专项科研基金 |
| 摘 要： | According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified way proposed by Luo, some basic principles in the dynamic theory of viscoelastic materials with voids can be estab- lished systematically. In this paper, an important integral relation in terms of con- volutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem, but also to derive systemati- cally the complementary functionals for the eight-field, six-field, four-field simpli- fied Gurtin-type variational principles and the potential energy-functional for the two-field one in the dynamic theory of viscoelastic materials with voids by the generalized Legendre transformations given in this paper. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly. |
Some basic principles in dynamic theory of viscoelastic materials with voids |
|
| Luo En,Li WeiHua. Some basic principles in dynamic theory of viscoelastic materials with voids[J]. Science in China(Physics Astronomy), 2007, 50(3): 370-378. DOI: 10.1007/s11433-007-0026-x | |
| Authors: | Luo En Li WeiHua |
| Affiliation: | Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275, China |
| Abstract: | According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, in a simple and unified way proposed by Luo, some basic principles in the dynamic theory of viscoelastic materials with voids can be estab- lished systematically. In this paper, an important integral relation in terms of con- volutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem, but also to derive systemati- cally the complementary functionals for the eight-field, six-field, four-field simpli- fied Gurtin-type variational principles and the potential energy-functional for the two-field one in the dynamic theory of viscoelastic materials with voids by the generalized Legendre transformations given in this paper. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly. |
| Keywords: | dynamic theory of viscoelastic materials with voids principle of virtual work reciprocal theorem simplified Gurtin-typevariational principle complementary relation |
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