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This book focuses on the theoretical aspects of small strain theory
of elastoplasticity with hardening assumptions. It provides a
comprehensive and unified treatment of the mathematical theory and
numerical analysis. It is divided into three parts, with the first
part providing a detailed introduction to plasticity, the second
part covering the mathematical analysis of the elasticity problem,
and the third part devoted to error analysis of various
semi-discrete and fully discrete approximations for variational
formulations of the elastoplasticity. This revised and expanded
edition includes material on single-crystal and strain-gradient
plasticity. In addition, the entire book has been revised to make
it more accessible to readers who are actively involved in
computations but less so in numerical analysis. Reviews of earlier
edition: "The authors have written an excellent book which can be
recommended for specialists in plasticity who wish to know more
about the mathematical theory, as well as those with a background
in the mathematical sciences who seek a self-contained account of
the mechanics and mathematics of plasticity theory." (ZAMM, 2002)
"In summary, the book represents an impressive comprehensive
overview of the mathematical approach to the theory and numerics of
plasticity. Scientists as well as lecturers and graduate students
will find the book very useful as a reference for research or for
preparing courses in this field." (Technische Mechanik) "The book
is professionally written and will be a useful reference to
researchers and students interested in mathematical and numerical
problems of plasticity. It represents a major contribution in the
area of continuum mechanics and numerical analysis." (Math Reviews)
Inelastic media constitute a rich source of interesting and
important problems in theoretical, experimental and
computationalmechanics.
Signi?cantinsightshavebeengainedthroughstudiesofthemathematicalchar-
teristics of new models. New constitutive theories have lead to
variational and other formulations that are generally more complex,
often highly nonlinear, and requ- ing new tools for their
successful resolution. Likewise, there have been signi?cant
advances of a computational nature, coupled to the development of
new algorithms for solving such problems in discrete form. It is
clear, therefore, that research in the broad area of inelastic
media offers c- temporary investigators a range of challenges which
are most fruitfully addressed througha combinationof theoretical,
experimentaland computationalavenues.F- thermore, the ?eld is truly
multidisciplinary in nature, drawing on the expertise of
specialists in materials science, various branches of engineering,
mathematics, and physics, and bene?ting from integrative approaches
to the solution of problems. The objective of the IUTAM Symposium
on Theoretical, Modelling and C- putational Aspects of Inelastic
Media, held in Cape Town over the period 14-18 January 2008, was to
provide a forum in which experts engaged in a spectrum of
activities underthe theme of inelastic media could discussrecent
developments, and also identify key open problem
This book focuses on the theoretical aspects of small strain theory
of elastoplasticity with hardening assumptions. It provides a
comprehensive and unified treatment of the mathematical theory and
numerical analysis. It is divided into three parts, with the first
part providing a detailed introduction to plasticity, the second
part covering the mathematical analysis of the elasticity problem,
and the third part devoted to error analysis of various
semi-discrete and fully discrete approximations for variational
formulations of the elastoplasticity. This revised and expanded
edition includes material on single-crystal and strain-gradient
plasticity. In addition, the entire book has been revised to make
it more accessible to readers who are actively involved in
computations but less so in numerical analysis. Reviews of earlier
edition: "The authors have written an excellent book which can be
recommended for specialists in plasticity who wish to know more
about the mathematical theory, as well as those with a background
in the mathematical sciences who seek a self-contained account of
the mechanics and mathematics of plasticity theory." (ZAMM, 2002)
"In summary, the book represents an impressive comprehensive
overview of the mathematical approach to the theory and numerics of
plasticity. Scientists as well as lecturers and graduate students
will find the book very useful as a reference for research or for
preparing courses in this field." (Technische Mechanik) "The book
is professionally written and will be a useful reference to
researchers and students interested in mathematical and numerical
problems of plasticity. It represents a major contribution in the
area of continuum mechanics and numerical analysis." (Math Reviews)
Inelastic media constitute a rich source of interesting and
important problems in theoretical, experimental and
computationalmechanics.
Signi?cantinsightshavebeengainedthroughstudiesofthemathematicalchar-
teristics of new models. New constitutive theories have lead to
variational and other formulations that are generally more complex,
often highly nonlinear, and requ- ing new tools for their
successful resolution. Likewise, there have been signi?cant
advances of a computational nature, coupled to the development of
new algorithms for solving such problems in discrete form. It is
clear, therefore, that research in the broad area of inelastic
media offers c- temporary investigators a range of challenges which
are most fruitfully addressed througha combinationof theoretical,
experimentaland computationalavenues.F- thermore, the ?eld is truly
multidisciplinary in nature, drawing on the expertise of
specialists in materials science, various branches of engineering,
mathematics, and physics, and bene?ting from integrative approaches
to the solution of problems. The objective of the IUTAM Symposium
on Theoretical, Modelling and C- putational Aspects of Inelastic
Media, held in Cape Town over the period 14-18 January 2008, was to
provide a forum in which experts engaged in a spectrum of
activities underthe theme of inelastic media could discussrecent
developments, and also identify key open problem
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