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2-维线性动态膜壳方程组的对称性

Symmetry for the Two-dimensional Dynamic Equations of Linearly Elastic Membrane Shells
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摘要 在弹性张量满足强椭圆性条件的假设下,把2-维线性动态膜壳方程组化为一阶线性对称双曲组。 Under the assumption that the elastic tensor satisfies the strong-ellipticity condition, we reduce the two-dimensional equations of linearly elastic membrane shells to a first order linearly symmetric hyperbolic system.
出处 《工程数学学报》 CSCD 北大核心 2006年第4期745-748,共4页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10271030)烟台师范学院科研基金(20130301).
关键词 膜壳方程组 强椭圆性条件 对称双曲组 equations of membrane shells strong-ellipticity condition symmetric hyperbolic system
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参考文献5

  • 1Ciarlet P G.Mathematical Elasticity,Theory of Shells[M].Vol.Ⅲ,North-Holland,Amesterdam,1999
  • 2Xiao Li-ming.Asymptotic analysis of dynamic problems for linearly elastic shells-justification of equations for dynamic membrane shells[J].Asymptotic Analysis,1998,17:121-134
  • 3Li Ta-tsien,Qin Tiehu.Physics and Partial Differential Equations[M].Vol.Ⅰ,Beijing:Higher Educational Press,1997
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  • 5Miara B.Nonlinearly elastic shell models:a formal asymptotic approach Ⅰ:the membrane model[J].Archive for Rational Mechanics Analysis,1998,142:331-353

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