Comparison of hyperelastic micromorphic, micropolar and microstrain continua

作者: T. Leismann , R. Mahnken

DOI: 10.1016/J.IJNONLINMEC.2015.08.004

关键词:

摘要: Abstract Micromorphic continua are equipped with additional degrees of freedom in comparison to the classical continuum, representing microdeformations material points a body. Secondary they provided higher order gradient. Therefore, able account for size-effects and regularize boundary value problem, when localization phenomena arise. Arbitrary allowed micromorphic while special cases micropolar continuum microstrain merely allow microrotation microstrain, respectively. Amongst these cases, case has been covered most extensively literature. One goal this paper is make transition from full or by varying constitutive equations. To end two different possibilities presented hyperelasticity large deformations. This leads four models, which compared illustrated numerical examples. Another present model encompassing micromorphic, as enabling arbitrary mixtures parts, allowing representation versatile behaviour.

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