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Fracture mechanics of electromagnetic materials : nonlinear field theory and applications
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Description
Rating
Title
Fracture
mechanics
of
electromagnetic
materials
:
nonlinear
field
theory
and
applications
Creator
Chen, Xiaohong.
Contributors
Mai, Y. W., 1946
World Scientific (Firm)
DescriptionAbstract
Fracture
Mechanics
of
Electromagnetic
Materials
provides
a
comprehensive
overview
of
fracture
mechanics
of
conservative
and
dissipative
materials
, as
well
as a
general
formulation
of
nonlinear
field
theory
of
fracture
mechanics
and a
rigorous
treatment
of
dynamic
crack
problems
involving
coupled
magnetic
,
electric
,
thermal
and
mechanical
field
quantities
.
Thorough
emphasis
is
placed
on the
physical
interpretation
of
fundamental
concepts
,
development
of
theoretical
models
and
exploration
of their
applications
to
fracture
characterization
in the
presence
of
magnetoelectrothermomechanical
coupling
and
dissipative
effects
.
Mechanical
,
aeronautical
,
civil
,
biomedical
,
electrical
and
electronic
engineers
interested
in
application
of the
principles
of
fracture
mechanics
to
design
analysis
and
durability
evaluation
of
smart
structures
and
devices
will
find
this
book
an
invaluable
resource
.
DescriptionTable Of Contents
ch
.
1
.
Fundamentals
of
fracture
mechanics
.
1.1
.
Historical
perspective
.
1.2
.
Stress
Intensity
Factors
(SIF)
.
1.3
.
Energy
Release
Rate
(ERR)
.
1.4
.
Jintegral
.
1.5
.
Dynamic
fracture
.
1.6
.
Viscoelastic
fracture
.
1.7
.
Essential
Work
of
Fracture
(EWF)
.
1.8
.
Configuration
force
(material
force)
method
.
1.9
.
Cohesive
zone
and
virtual
internal
bond
models

ch
.
2
.
Elements
of
electrodynamics
of
continua
.
2.1
.
Notations
.
2.2
.
Maxwell
equations
.
2.3
.
Balance
equations
of
mass
,
momentum
,
moment
of
momentum
, and
energy
.
2.4
.
Constitutive
relations
.
2.5
.
Linearized
theory

ch
.
3
.
Introduction
to
thermoviscoelasticity
.
3.1
.
Thermoelasticity
.
3.2
.
Viscoelasticity
.
3.3
.
Coupled
theory
of
thermoviscoelasticity
.
3.4
.
Thermoviscoelastic
boundaryinitial
value
problems

ch
.
4
.
Overview
on
fracture
of
electromagnetic
materials
.
4.1
.
Introduction
.
4.2
.
Basic
field
equations
.
4.3
.
General
solution
procedures
.
4.4
.
Debates
on
crackface
boundary
conditions
.
4.5
.
Fracture
criteria
.
4.6
.
Experimental
observations
.
4.7
.
Nonlinear
studies
.
4.8
.
Status
and
prospects

ch
.
5
.
Crack
driving
force
in
electrothermoelastodynamic
fracture
.
5.1
.
Introduction
.
5.2
.
Fundamental
principles
of
thermodynamics
.
5.3
.
Energy
flux
and
dynamic
contour
integral
.
5.4
.
Dynamic
energy
release
rate
serving
as
crack
driving
force
.
5.5
.
Configuration
force
and
energymomentum
tensor
.
5.6
.
Coupled
electromechanical
jump/boundary
conditions
.
5.7
.
Asymptotic
neartip
field
solution
.
5.8
.
Remarks

ch
.
6
.
Dynamic
fracture
mechanics
of
magnetoelectrothermoelastic
solids
.
6.1
.
Introduction
.
6.2
.
Thermodynamic
formulation
of
fully
coupled
dynamic
framework
.
6.3
.
Strohtype
formalism
for
steadystate
crack
propagation
under
coupled
magnetoelectromechanical
jump/boundary
conditions
.
6.4
.
Magnetoelectroelastostatic
crack
problem
as a
special
case
.
6.5
.
Summary

ch
.
7
.
Dynamic
crack
propagation
in
magnetoelectroelastic
solids
.
7.1
.
Introduction
.
7.2
.
Shear
horizontal
surface
waves
.
7.3
.
Transient
modeIII
crack
growth
problem
.
7.4
.
Integral
transform
,
WienerHopf
technique
, and
Cagniardde
Hoop
method
.
7.5
.
Fundamental
solutions
for
traction
loading
only
.
7.6
.
Fundamental
solutions
for
mixed
loads
.
7.7
.
Evaluation
of
dynamic
energy
release
rate
.
7.8
.
Influence
of
shear
horizontal
surface
wave
speed
and
crack
tip
velocity
. ;
8
ch
.
8
.
Fracture
of
functionally
graded
materials
.
8.1
.
Introduction
.
8.2
.
Formulation
of
boundaryinitial
value
problems
.
8.3
.
Basic
solution
techniques
.
8.4
.
Fracture
characterizing
parameters
.
8.5
.
Remarks

ch
.
9
.
Magnetothermoviscoelastic
deformation
and
fracture
.
9.1
.
Introduction
.
9.2
.
Local
balance
equations
for
magnetic
,
thermal
, and
mechanical
field
quantities
.
9.3
.
Free
energy
and
entropy
production
inequality
for
memorydependent
magnetosensitive
materials
.
9.4
.
Coupled
magnetothermoviscoelastic
constitutive
relations
.
9.5
.
Generalized
[symbol]integral
in
nonlinear
magnetothermoviscoelastic
fracture
.
9.6
.
Generalized
plane
crack
problem
and
revisit
of
modeIII
fracture
of a
magnetostrictive
solid
in a
bias
magnetic
field

ch
.
10
.
Electrothermoviscoelastic
deformation
and
fracture
.
10.1
.
Introduction
.
10.2
.
Local
balance
equations
for
electric
,
thermal
, and
mechanical
field
quantities
.
10.3
.
Free
energy
and
entropy
production
inequality
for
memorydependent
electrosensitive
materials
.
10.4
.
Coupled
electrothermoviscoelastic
constitutive
relations
.
10.5
.
Generalized
[symbol]integral
in
nonlinear
electrothermoviscoelastic
fracture
.
10.6
.
Analogy
between
nonlinear
magneto
and
electrothermoviscoelastic
constitutive
and
fracture
theories
.
10.7
.
Reduction
to
DorfmannOgden
nonlinear
magneto
and
electroelasticity

ch
.
11
.
Nonlinear
field
theory
of
fracture
mechanics
for
paramagnetic
and
ferromagnetic
materials
.
11.1
.
Introduction
.
11.2
.
Global
energy
balance
equation
and
nonnegative
global
dissipation
requirement
.
11.3
.
Hamiltonian
density
and
thermodynamically
admissible
conditions
.
11.4
.
Thermodynamically
consistent
timedependent
fracture
criterion
.
11.5
.
Generalized
energy
release
rate
versus
bulk
dissipation
rate
.
11.6
.
Local
generalized
[symbol]integral
versus
global
generalized
[symbol]integral
.
11.7
.
Essential
work
of
fracture
versus
nonessential
work
of
fracture

ch
.
12
.
Nonlinear
field
theory
of
fracture
mechanics
for
piezoelectric
and
ferroelectric
materials
.
12.1
.
Introduction
.
12.2
.
Nonlinear
field
equations
.
12.3
.
Thermodynamically
consistent
timedependent
fracture
criterion
.
12.4
.
Correlation
with
conventional
fracture
mechanics
approaches

ch
.
13
.
Applications
to
fracture
characterization
.
13.1
.
Introduction
.
13.2
.
Energy
release
rate
method
and its
generalization
.
13.3
.
JR
curve
method
and its
generalization
.
13.4
.
Essential
work
of
fracture
method
and its
extension
.
13.5
.
Closure
.
Publisher
Imperial College Press
Distributed by World Scientific Pub. Co.
Subject
Magnetic materials  Fracture.
Fracture mechanics  Mathematics.
Nonlinear theories.
Identifier (Full text)
9781848166646
(electronic
bk.)
;
9781848166639
;
http://www.worldscientific.com/worldscibooks/10.1142/P760#t=toc
Language
eng
Type
Electronic books.
FormatExtent
xix, 305 p. : ill.
Date
c2013
.
OCLC number
874497209
CONTENTdm number
219
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