| 非线性弹性理论的混合能量形式广义变分原理 |
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| 引用本文： | 胡成栋. 非线性弹性理论的混合能量形式广义变分原理[J]. 应用数学和力学, 1986, 7(11): 1021-1031 |
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| 作者姓名： | 胡成栋 |
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| 作者单位： | 吉林大学数学系 |
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| 摘 要： | 本文首先对弹性材料的应变能函数∑(Eij)和余应能函数∑C(Sij)的部分“对应”变量作Legendre变换,引进“对应”的混合余应变能函数∑klC和混合应变能函数∑kl。进而,给出非线性弹性理论的各种“对应”的混合能量形式广义变分原理。线性弹性理论也有相应结果,它是本文结果的特殊情况。
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| 收稿时间： | 1983-08-09 |
The Generalized Variational Principles about Blending Energy Form of Non-Linear Elasticity |
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| Affiliation: | Department of Mathematics, Jilin University, Changchun |
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| Abstract: | First of all, this paper gives Legendre transformation for the so-called partial corresponding variables of strain energy function Σ(Eij) and complementary strain energy function ∑C(Sij) of the elastic materiel, and introduces the corresponding blending complementary strain energy function ∑klC and blending strain energy function Σkl. Moreover, a series of generalized variational principles of the corresponding blending energy form of non-linear elasticity is given. As a special case, there exist corresponding results[1] in linear elasticity. |
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