Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
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.
gradient elastoplasticity, gradient plasticity, thick-walled cylinder, localisation of deformation, shear band, scale effect
5081-5095
Zervos, A.
9e60164e-af2c-4776-af7d-dfc9a454c46e
Papanastasiou, P
317f82dc-c7e9-4c45-a0e6-042a1e808575
Vardoulakis, I
fe09b196-51e0-41c6-8484-0a41ef9435f1
2001
Zervos, A.
9e60164e-af2c-4776-af7d-dfc9a454c46e
Papanastasiou, P
317f82dc-c7e9-4c45-a0e6-042a1e808575
Vardoulakis, I
fe09b196-51e0-41c6-8484-0a41ef9435f1
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), .
(doi:10.1016/S0020-7683(00)00337-1).
Abstract
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.
This record has no associated files available for download.
More information
Published date: 2001
Keywords:
gradient elastoplasticity, gradient plasticity, thick-walled cylinder, localisation of deformation, shear band, scale effect
Identifiers
Local EPrints ID: 39396
URI: http://eprints.soton.ac.uk/id/eprint/39396
ISSN: 0020-7683
PURE UUID: 81d7f6bf-6b29-48ff-a837-8fb1861dc23e
Catalogue record
Date deposited: 28 Jun 2006
Last modified: 16 Mar 2024 03:32
Export record
Altmetrics
Contributors
Author:
P Papanastasiou
Author:
I Vardoulakis
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
