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结构理论中解的存在性问题述评

ON EXISTENCE OF THE SOLUTION IN THEORIES OF STRUCTURES
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摘要 阐明线性弹性力学和线性弹性结构理论中解的存在性的基本概念和研究解的存在性意义,简述微分方程和弹性力学解的存在性的研究结果,着重介绍和评价王大钧和胡海昌的关于复杂结构和组合弹性结构理论解的存在性的研究成果,介绍了他们的结构理论算子正定性定理和能量嵌入算子紧致性定理. This article explains the basic concepts relevant to the existence of solutions and its significance for the linear elasticity theory and linear elastic structure, outlines the solution of differential equations and the existence of the elasticity, evaluates the original contribution to the existence of solutions of the multi-structure by Wang Dajun and Hu Hai-chang, and presents Wang-Hu positive definiteness and compactness in the theories of elastic structures.
作者 孙博华
出处 《力学进展》 EI CSCD 北大核心 2012年第5期538-546,共9页 Advances in Mechanics
关键词 结构理论 结构理论算子 存在性定理 正定算子 紧致算子 theory of structures, operator of theory of structures, existence theorems, positive definite opera-tor, compact operator
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