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发表于 2025-3-21 22:15:00
Variational Principles of Continuum Mechanics978-3-540-88469-9Series ISSN 1860-6245 Series E-ISSN 1860-6253
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发表于 2025-3-22 02:30:31
Elastic Beams. Consider a space curve, . in three-dimensional space and a region, . which is formed by motion of a flat figure, ., along .; at every point, . is orthogonal to . (Fig. 15.1). Denote the diameter of . (the maximum distance between two points of .) by ., the length of . by .. and the minimum curvature-torsion radius of . by ..
nascent
发表于 2025-3-22 06:47:48
Some Stochastic Variational ProblemsStochastic variational problems appear in many branches of physics and mechanics. This chapter gives a brief overview of the features caused by the variational nature of the problems.
解冻
发表于 2025-3-22 11:15:22
Homogenization of Random Structures: a Closer ViewAs we have seen in Sect. 17.4, the averaged Lagrangian and the local fields in random structures are determined by Kozlov’s cell problem (17.97)
overwrought
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https://doi.org/10.1007/978-3-540-88469-9Elastic Body; Fluids; Variational Principles; continuum mechanics; development; mechanics; microstructure;
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发表于 2025-3-23 02:49:27
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发表于 2025-3-23 06:42:45
Book 2009 describes how the variational approach can be applied to constructing models of continuum media, such as the theory of elastic plates; shells and beams; shallow water theory; heterogeneous mixtures; granular materials; and turbulence. It goes on to apply the variational approach to asymptotical ana