A cauchy-stress based solution for a necking elastic constitutive model under large deformation
Olley, Peter
Olley, Peter
Publication Date
2006
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A finite element based method for solution of large-deformation hyperelastic constitutive models is developed, which solves the Cauchy-stress balance equation using a single rotation of stress from principal directions to a fixed co-ordinate system. Features of the method include stress computation by central differencing of the hyperelastic energy function, mixed integration-order incompressibility enforcement, and an iterative solution method that employs notional `small strain¿ stiffness. The method is applied to an interesting and difficult elastic model that replicates polymer `necking¿; the method is shown to give good agreement with published results from a well-established finite element package, and with published experimental results. It is shown that details of the manner in which incompressibility is enforced affects whether key experimental phenomena are clearly resolved.
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Olley P (2006) A cauchy-stress based solution for a necking elastic constitutive model under large deformation. International Journal for Numerical Methods in Engineering. 65(7): 1068-1087.
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