| RESTUDY OF THEORIES FOR ELASTIC SOLIDS WITH MICROSTRUCTURE |
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| 引用本文： | 戴天民. RESTUDY OF THEORIES FOR ELASTIC SOLIDS WITH MICROSTRUCTURE[J]. 应用数学和力学(英文版), 2002, 23(8): 867-874. DOI: 10.1007/BF02437790 |
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| 作者姓名： | 戴天民 |
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| 作者单位： | DAI Tian_min (Department of Mathematics and Center for the Application of Mathematics，Liaoning University，Shenyang 110036，P R China) (Contributed by DAI Tian_min) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 2 4)，theInterna tionalCooperationProjectoftheNSFC ( 1 0 0 1 1 3 0 2 3 5)andtheDFG ( 51 52 0 0 0 1 )，theResearchFoundationofLiaoningEducationCommittee ( 990 1 1 1 0 0 1 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＵｐｔｏｎｏｗｔｈｅｒｅｈａｓｂｅｅｎｖｅｒｙｍｕｃｈｗｒｉｔｔｅｎｗｏｒｋｏｎｔｈｅｓｕｂｊｅｃｔｓｏｆｃｏｎｔｉｎｕｕｍｔｈｅｏｒｉｅｓｉｎｗｈｉｃｈｔｈｅｄｅｆｏｒｍａｔｉｏｎｉｓｄｅｓｃｒｉｂｅｄｎｏｔｏｎｌｙｂｙｔｈｅｕｓｕａｌｖｅｃｔｏｒｄｉｓｐｌａｃｅｍｅｎｔｆｉｅｌｄ ,ｂｕｔｂｙｏｔｈｅｒｖｅｃｔｏｒｏｒｔｅｎｓｏｒｆｉｅｌｄｓａｓｗｅｌｌ.Ｉｎａｆａｍｏｕｓｍｏｎｏｇｒａｐｈ ,Ｅ .ＣｏｓｓｅｒａｔａｎｄＦ .Ｃｏｓｓｅｒａｔ[1]ｇａｖｅａｓｙｓｔｅｍａｔｉｃ…
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| 收稿时间： | 2001-03-13 |
Restudy of theories for elastic solids with microstructure |
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| Dai Tian-min Professor, Doctor. Restudy of theories for elastic solids with microstructure[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(8): 867-874. DOI: 10.1007/BF02437790 |
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| Authors: | Dai Tian-min Professor Doctor |
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| Affiliation: | Department of Mathematics and Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P R China |
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| Abstract: | The dynamical theories of elastic solids with microstructure are restudied and the reason why so many notations have been introduced for derivation of basic equations for such theories is given. In view of the existing problems in those theories the rather general principle of power and energy rate is postulated and the equations of motion, the balance equations of energy rate and energy and the boundary conditions for local and nonlocal theories are naturally derived with help of that principle and the generalized Piola's theorem. These basic equations and the boundary conditions together with the initial conditions may be used to solve the mixed problems of the dynamical theory of elastic solids with microstructure. |
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| Keywords: | elastic solid microstructure principle of power and energy rate mixed problem |
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