| RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA (Ⅰ)──MICROPOLAR THERMOELASTICITY |
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| 引用本文： | 戴天民. RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA (Ⅰ)──MICROPOLAR THERMOELASTICITY[J]. 应用数学和力学(英文版), 2002, 23(2): 119-126. DOI: 10.1007/BF02436552 |
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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 & 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)，theInternationalCooperationProjectoftheNSFC ( 1 0 0 1 1 1 3 0 2 35)andtheDFG ( 5152 0 0 0 1 )，theResearchFoundationofLiaoningEducationCommittee ( 990 1 1 1 0 0 1 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＳｏｍｅａｕｔｈｏｒｓｓｔｕｄｉｅｄｔｈｅｃｏｕｐｌｅｄｆｉｅｌｄｐｒｏｂｌｅｍｓｆｏｒｍｉｃｒｏｐｏｌａｒｃｏｎｔｉｎｕａ .Ｅｓｐｅｃｉａｌｌｙ ,Ｗ .Ｎｏｗａｃｋｉｐｕｂｌｉｓｈｅｄａｓｅｒｉｅｓｏｆａｂｏｕｔ 4 0ｓｃｉｅｎｔｉｆｉｃｐａｐｅｒｓｄｅａｌｉｎｇｗｉｔｈｔｈｅｍｉｃｒｏｐｏｌａｒｔｈｅｒｍｏｅｌａｓｔｉｃｉｔｙａｓｗｅｌｌａｓｔｈｅｐｒｏｂｌｅｍｓｏｆｄｉｓｔｏｒｔｉｏｎ ,ｔｈｅｒｍｏｄｉｆｆｕｓｉｏｎ ,ｔｈｅｒｍｏｐｉｅｚｏｅｌｅｃｔｒｉｃｉｔｙａｎｄｍ…
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| 收稿时间： | 2000-12-29 |
Restudy of coupled field theories for micropolar continua (I)—Micropolar thermoelasticity |
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| Dai Tian-min Professor, Doctor. Restudy of coupled field theories for micropolar continua (I)—Micropolar thermoelasticity[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(2): 119-126. DOI: 10.1007/BF02436552 |
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| Authors: | Dai Tian-min Professor Doctor |
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| Affiliation: | Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang,110036,P R China |
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| Abstract: | Problems of micropolar thermoelasticity have been presented and discussed by some authors in the traditional framework of micropolar continuum field theory. In this paper the theory of micropolar thermoelasticity is restudied. The reason why it was restricted to a linear one is analyzed. The rather general principle of virtual work and the new formulation for the virtual work of internal forces as well as the rather complete Hamilton principle in micropolar thermoelasticity are established. From this new Hamilton principle not only the equations of motion, the balance equation of entropy, the boundary conditions of stress, couple stress and heat, but also the boundary conditions of displacement, microrotation and temperature are simultaneously derived. |
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| Keywords: | micropolar continua thermoelasticity principle of virtual work Hamilton principle |
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