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Thermoelasticity theory and the decomposed form of thick plates for extensional deformation
Gao, Yang ; Zhao, Bao-Sheng ; Wang, Min-Zhong
刊名acta mechanica
2012
关键词PAPKOVICH-FADLE EIGENFUNCTIONS SEMI-INFINITE STRIP REFINED THEORY ELASTIC PLATE COMPLETENESS
DOI10.1007/s00707-011-0589-5
英文摘要Without employing ad hoc stress assumptions, the decomposed form of thermoelastic plates for an extensional deformation is proposed on the basis of thermoelasticity theory, and the corresponding decomposition theorem is in extenso presented for the first time. It is shown that the stress state of thermoelastic plates with traction free faces can be uniquely decomposed into four parts: the plane-stress (P-S) state, the shear state, the Papkovich-Fadle (P-F) state, and the thermal state. In the proof course of the decomposition theorem, some basic mathematical methods are used only, so the proof is more convenient for being understood. Due to the corresponding relations of the P-S state and the biharmonic equation, of the shear state and the shear equation, and of the P-F state and the transcendental equation, this work practically proves the equivalence between the decomposition theorem and the refined theory of isothermal plates with free faces. More importantly, the thermal state is in agreement with the Solution P.; Mechanics; SCI(E); EI; 0; ARTICLE; 4; 755-764; 223
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/233881]  
专题工学院
推荐引用方式
GB/T 7714
Gao, Yang,Zhao, Bao-Sheng,Wang, Min-Zhong. Thermoelasticity theory and the decomposed form of thick plates for extensional deformation[J]. acta mechanica,2012.
APA Gao, Yang,Zhao, Bao-Sheng,&Wang, Min-Zhong.(2012).Thermoelasticity theory and the decomposed form of thick plates for extensional deformation.acta mechanica.
MLA Gao, Yang,et al."Thermoelasticity theory and the decomposed form of thick plates for extensional deformation".acta mechanica (2012).
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