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Before a structure or component can be completed, before any
analytical model can be constructed, and even before the design can
be formulated, you must have a fundamental understanding of damage
behavior in order to produce a safe and effective design. Damage
Mechanics presents the underlying principles of continuum damage
mechanics along with the latest research. The authors consider both
isotropic and anisotropic theories as well as elastic and
elasto-plastic damage analyses using a self-contained, easily
understood approach. Beginning with the requisite mathematics,
Damage Mechanics guides you from the very basic concepts to
advanced mathematical and mechanical models. The first chapter
offers a brief MAPLE (R) tutorial and supplies all of the MAPLE
commands needed to solve the various problems throughout the
chapter. The authors then discuss the basics of elasticity theory
within the continuum mechanics framework, the simple case of
isotropic damage, effective stress, damage evolution, kinematic
description of damage, and the general case of anisotropic damage.
The remainder of the book includes a review of plasticity theory,
formulation of a coupled elasto-plastic damage theory developed by
the authors, and the kinematics of damage for finite-strain
elasto-plastic solids. From fundamental concepts to the latest
advances, this book contains everything that you need to study the
damage mechanics of metals and homogeneous materials.
Before a structure or component can be completed, before any
analytical model can be constructed, and even before the design can
be formulated, you must have a fundamental understanding of damage
behavior in order to produce a safe and effective design. Damage
Mechanics presents the underlying principles of continuum damage
mechanics along with the latest research. The authors consider both
isotropic and anisotropic theories as well as elastic and
elasto-plastic damage analyses using a self-contained, easily
understood approach. Beginning with the requisite mathematics,
Damage Mechanics guides you from the very basic concepts to
advanced mathematical and mechanical models. The first chapter
offers a brief MAPLE(R) tutorial and supplies all of the MAPLE
commands needed to solve the various problems throughout the
chapter. The authors then discuss the basics of elasticity theory
within the continuum mechanics framework, the simple case of
isotropic damage, effective stress, damage evolution, kinematic
description of damage, and the general case of anisotropic damage.
The remainder of the book includes a review of plasticity theory,
formulation of a coupled elasto-plastic damage theory developed by
the authors, and the kinematics of damage for finite-strain
elasto-plastic solids. From fundamental concepts to the latest
advances, this book contains everything that you need to study the
damage mechanics of metals and homogeneous materials.
This is a book for people who love mechanics of composite materials
and ? MATLAB . We will use the popular computer package MATLAB as a
matrix calculator for doing the numerical calculations needed in
mechanics of c- posite materials. In particular, the steps of the
mechanical calculations will be emphasized in this book. The reader
will not ?nd ready-made MATLAB programs for use as black boxes.
Instead step-by-step solutions of composite material mechanics
problems are examined in detail using MATLAB. All the problems in
the book assume linear elastic behavior in structural mechanics.
The emphasis is not on mass computations or programming, but rather
on learning the composite material mechanics computations and
understanding of the underlying concepts. The basic aspects of the
mechanics of ?ber-reinforced composite materials are covered in
this book. This includes lamina analysis in both the local and
global coordinate systems, laminate analysis, and failure theories
of a lamina.
later versions. In addition, the CD-ROM contains a complete
solutions manual that includes detailed solutions to all the
problems in the book. If the reader does not wish to consult these
solutions, then a brief list of answers is provided in printed form
at the end of the book.
Iwouldliketothankmyfamilymembersfortheirhelpandcontinuedsupportwi-
out which this book would not have been possible. I would also like
to acknowledge the help of the editior at Springer-Verlag (Dr.
Thomas Ditzinger) for his assistance in bringing this book out in
its present form. Finally, I would like to thank my brother,
Nicola, for preparing most of the line drawings in both editions.
In this edition, I am providing two email addresses for my readers
to contact me (pkattan@tedata. net. jo and pkattan@lsu. edu). The
old email address that appeared in the ?rst edition was cancelled
in 2004. December 2006 Peter I. Kattan PrefacetotheFirstEdition 3
This is a book for people who love ?nite elements and MATLAB . We
will use the popular computer package MATLAB as a matrix calculator
for doing ?nite element analysis. Problems will be solved mainly
using MATLAB to carry out the tedious and lengthy matrix
calculations in addition to some manual manipulations especially
when applying the boundary conditions. In particular the steps of
the ?nite element method are emphasized in this book. The reader
will not ?nd ready-made MATLAB programsforuseasblackboxes.
Insteadstep-by-stepsolutionsof?niteelementpr- lems are examined in
detail using MATLAB.
later versions. In addition, the CD-ROM contains a complete
solutions manual that includes detailed solutions to all the
problems in the book. If the reader does not wish to consult these
solutions, then a brief list of answers is provided in printed form
at the end of the book.
Iwouldliketothankmyfamilymembersfortheirhelpandcontinuedsupportwi-
out which this book would not have been possible. I would also like
to acknowledge the help of the editior at Springer-Verlag (Dr.
Thomas Ditzinger) for his assistance in bringing this book out in
its present form. Finally, I would like to thank my brother,
Nicola, for preparing most of the line drawings in both editions.
In this edition, I am providing two email addresses for my readers
to contact me (pkattan@tedata. net. jo and pkattan@lsu. edu). The
old email address that appeared in the ?rst edition was cancelled
in 2004. December 2006 Peter I. Kattan PrefacetotheFirstEdition 3
This is a book for people who love ?nite elements and MATLAB . We
will use the popular computer package MATLAB as a matrix calculator
for doing ?nite element analysis. Problems will be solved mainly
using MATLAB to carry out the tedious and lengthy matrix
calculations in addition to some manual manipulations especially
when applying the boundary conditions. In particular the steps of
the ?nite element method are emphasized in this book. The reader
will not ?nd ready-made MATLAB programsforuseasblackboxes.
Insteadstep-by-stepsolutionsof?niteelementpr- lems are examined in
detail using MATLAB.
This is a book for people who love mechanics of composite materials
and ? MATLAB . We will use the popular computer package MATLAB as a
matrix calculator for doing the numerical calculations needed in
mechanics of c- posite materials. In particular, the steps of the
mechanical calculations will be emphasized in this book. The reader
will not ?nd ready-made MATLAB programs for use as black boxes.
Instead step-by-step solutions of composite material mechanics
problems are examined in detail using MATLAB. All the problems in
the book assume linear elastic behavior in structural mechanics.
The emphasis is not on mass computations or programming, but rather
on learning the composite material mechanics computations and
understanding of the underlying concepts. The basic aspects of the
mechanics of ?ber-reinforced composite materials are covered in
this book. This includes lamina analysis in both the local and
global coordinate systems, laminate analysis, and failure theories
of a lamina.
Scalar Damage and Healing Mechanics outlines the latest
cutting-edge research in the field of scalar damage and healing
mechanics, providing step-by-step insight on how to use scalar
damage variables in various modeling scenarios. Additionally, the
book discusses the latest advances in healing mechanics, covering
the evolution of healing and damage, small damage and small
healing, healing processes in series and in parallel, super
healing, and the thermodynamics of damage and healing. Coupled
systems, in which damage triggers self-healing as well as a
decoupled system where healing occurs after damage is identified by
external detection, are also discussed. Readers are additionally
introduced to fundamental concepts such as effective stress, damage
evolution, plane stress damage decomposition, and other damage
processes that form the basis for a better understanding of the
more advanced chapters.
The book presents the principles of Damage Mechanics along with the
latest research findings. Both isotropic and anisotropic damage
mechanisms are presented. Various damage models are presented
coupled with elastic and elasto-plastic behavior. The book includes
two chapters that are solely dedicated to experimental
investigations conducted by the authors. In its last chapter, the
book presents experimental data for damage in composite materials
that appear in the literature for the first time.
. Systematic treatment of damage mechanics in composite
materials
. Includes special and advanced topics
. Includes basic principles of damage mechanics
. Includes new experimental data that appears in print for the
first time
. Covers both metals and metal matrix composite materials
. Includes new chapters on fabric tensors
. Second edition includes four new chapters
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