Non-uniqueness and stability of two-family fiber-reinforced incompressible hyper-elastic sheet under equibiaxial loading*

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摘要 Theproblemsonthenon-uniquenessandstabilityofatwo-familyfiberreinforcedanisotropicincompressiblehyper-elasticsquaresheetunderequibiaxialtensiledeadloadingareexaminedwithintheframeworkoffiniteelasticity.Foratwo-familyfiber-reinforcedsquaresheet,whichisin-planesymmetricandsubjectedtothein-planesymmetrictensionindeadloadingontheedges,threesymmetricallydeformedconfigurationsandsixasymmetricallydeformedconfigurationsarepossibleforanyvaluesoftheloading.Moreover,anotherfourbifurcatedasymmetricallydeformedconfigurationsarepossiblefortheloadingbeyondacertaincriticalvalue.Thestabilityofallthesolutionsisdiscussedincomparisonwiththeenergyofthesheet.Itisshownthatonlyoneofthesymmetricsolutionsisstablewhentheloadingislessthanthecriticalvalue.However,thissymmetricsolutionwillbecomeunstablewhentheloadingislargerthanthecriticalvalue,whileoneofthefourbifurcatedasymmetricsolutionswillbestable.
机构地区 不详
出版日期 2013年12月22日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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