Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
Zervos, A., Papanastasiou, P and Vardoulakis, I (2001) Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity. International Journal of Solids and Structures, 38, (30-31), 5081-5095. (doi:10.1016/S0020-7683(00)00337-1).
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We model the progressive localisation of deformation which causes failure around thick-walled cylinders under external radial pressure. The study is based on a second-gradient elastoplastic model developed to regularise the ill-posedness caused by material strain-softening behaviour. The stress increment is related to both the strain increment and its Laplacian. The gradient terms introduce an internal length scale to the material allowing robust modelling of its post-peak behaviour. The numerical implementation is based on a C-1 finite element displacement formulation. Mesh insensitivity in terms of load-displacement and failure mechanism is demonstrated. The internal length in the constitutive equations enables modelling of the scale effect in thick-walled cylinders, according to which the load required to induce failure appears to be much larger for small holes than for large holes.
|Keywords:||gradient elastoplasticity, gradient plasticity, thick-walled cylinder, localisation of deformation, shear band, scale effect|
|Subjects:||T Technology > TA Engineering (General). Civil engineering (General)|
|Divisions:||University Structure - Pre August 2011 > School of Civil Engineering and the Environment
|Date Deposited:||28 Jun 2006|
|Last Modified:||31 May 2011 23:55|
|Contributors:||Zervos, A. (Author)
Papanastasiou, P (Author)
Vardoulakis, I (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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