摘要
Theproblemsonthenon-uniquenessandstabilityofatwo-familyfiberreinforcedanisotropicincompressiblehyper-elasticsquaresheetunderequibiaxialtensiledeadloadingareexaminedwithintheframeworkoffiniteelasticity.Foratwo-familyfiber-reinforcedsquaresheet,whichisin-planesymmetricandsubjectedtothein-planesymmetrictensionindeadloadingontheedges,threesymmetricallydeformedconfigurationsandsixasymmetricallydeformedconfigurationsarepossibleforanyvaluesoftheloading.Moreover,anotherfourbifurcatedasymmetricallydeformedconfigurationsarepossiblefortheloadingbeyondacertaincriticalvalue.Thestabilityofallthesolutionsisdiscussedincomparisonwiththeenergyofthesheet.Itisshownthatonlyoneofthesymmetricsolutionsisstablewhentheloadingislessthanthecriticalvalue.However,thissymmetricsolutionwillbecomeunstablewhentheloadingislargerthanthecriticalvalue,whileoneofthefourbifurcatedasymmetricsolutionswillbestable.
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)