A pressure-dependent elastoplastic Cosserat continuum model is presented
in this paper. Splitting the scalar product of the stress rate and
the strain rate into their deviatoric and spherical parts, the consistent
algorithm, particularly the closed form of the consistent elastoplastic
tangent modulus matrix, of the model is formulated in the framework
of Cosserat continuum theory. The matrix inverse operation usually
required in the calculation of elastoplastic tangent constitutive
modulus matrix is avoided, that enhances computational efficiency
of the model in numerical solution procedure with the second order
convergence rate ensured. Numerical results illustrate the capability
and performance of the present model in modelling strain localization
phenomena due to strain softening.
%0 Journal Article
%1 Li2005
%A Li, X.
%A Tang, H.
%D 2005
%J Computers & Structures
%K Closed Consistent Cosserat Pressure Strain algorithm; constitutive continuum dependent elastoplasticity; form localization matrix; model; modulus of tangent
%P 1-10
%R 10.1016/j.compstruc.2004.08.009
%T A consistent return mapping algorithm for pressure-dependent elastoplastic
Cosserat continua and modelling of strain localisation
%V 83
%X A pressure-dependent elastoplastic Cosserat continuum model is presented
in this paper. Splitting the scalar product of the stress rate and
the strain rate into their deviatoric and spherical parts, the consistent
algorithm, particularly the closed form of the consistent elastoplastic
tangent modulus matrix, of the model is formulated in the framework
of Cosserat continuum theory. The matrix inverse operation usually
required in the calculation of elastoplastic tangent constitutive
modulus matrix is avoided, that enhances computational efficiency
of the model in numerical solution procedure with the second order
convergence rate ensured. Numerical results illustrate the capability
and performance of the present model in modelling strain localization
phenomena due to strain softening.
@article{Li2005,
abstract = {A pressure-dependent elastoplastic Cosserat continuum model is presented
in this paper. Splitting the scalar product of the stress rate and
the strain rate into their deviatoric and spherical parts, the consistent
algorithm, particularly the closed form of the consistent elastoplastic
tangent modulus matrix, of the model is formulated in the framework
of Cosserat continuum theory. The matrix inverse operation usually
required in the calculation of elastoplastic tangent constitutive
modulus matrix is avoided, that enhances computational efficiency
of the model in numerical solution procedure with the second order
convergence rate ensured. Numerical results illustrate the capability
and performance of the present model in modelling strain localization
phenomena due to strain softening.},
added-at = {2009-08-01T18:40:48.000+0200},
author = {Li, X. and Tang, H.},
biburl = {https://www.bibsonomy.org/bibtex/225ab53c895b94007d00e57d7c32d0af7/jaksonmv},
doi = {10.1016/j.compstruc.2004.08.009},
file = {:D\:\\Users\\Jaksonmv\\Documents\\papers\\Li2005.pdf:PDF},
interhash = {568843d5da13948306d6dd82196f8045},
intrahash = {25ab53c895b94007d00e57d7c32d0af7},
journal = {Computers \& Structures},
keywords = {Closed Consistent Cosserat Pressure Strain algorithm; constitutive continuum dependent elastoplasticity; form localization matrix; model; modulus of tangent},
owner = {Jakson},
pages = {1-10},
timestamp = {2009-08-01T18:40:52.000+0200},
title = {A consistent return mapping algorithm for pressure-dependent elastoplastic
Cosserat continua and modelling of strain localisation},
volume = 83,
year = 2005
}