| 含相变参量热粘弹性问题的变分定理 |
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| 引用本文： | 张曙红. 含相变参量热粘弹性问题的变分定理[J]. 昆明理工大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 张曙红 |
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| 作者单位： | 昆明工学院建工及力学系 |
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| 摘 要： | 在已导出含相变参量线性热粘弹性问题本构关系的基础上,根据泛函分析理论,由算子有势的充要条件,讨论了还包含边界条件,初始条件及热传导本构关系的含相变参量线性热粘弹性问题的控制方程组的泛函存在性,导出了与问题控制方程组算子对应的泛函,并证明了与之相应的变分定理。
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| 关 键 词： | 相变参量 热粘弹性 变分定理 |
Variational Theorem of Thermo-viscoelastic Problem Containing Phase Transformation Parameter |
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| Zhang Shuhong. Variational Theorem of Thermo-viscoelastic Problem Containing Phase Transformation Parameter[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 1992, 0(2) |
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| Authors: | Zhang Shuhong |
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| Affiliation: | Department of civil Engineering and Mechanics Kunming Institute of Technology |
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| Abstract: | Based on the linear thermo-viscoelastic constitutive relations containing phase transformation parameter which has been derived in reference [1] and the theory of functional analysis,using the necessary and sufficient condition that an operator is potential,we discussed the presence of the functional of the control equations,including boundary and initial conditions and heat conduct constituive relations,for thermo-viscoelastic problem containing phase transformation parameter,derived the corresponding functional and proved the variational theorem correspondingly. |
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| Keywords: | Phase transformation parameter Thermo-viscoelastic Variational theorem. |
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