The elastodynamic response of an infinite orthotropic material with a finite crack under concentrated in-plane shear loads is examined. A solution for the stress intensity factor history around the crack tips is found. Laplace and Fourier transforms are employed to solve the equations of motion leading to a Fredholm integral equation on the Laplace transform domain. The dynamic stress intensity factor history can be computed by numerical Laplace transform inversion of the solution of the Fredholm equation. Numerical values of the dynamic stress intensity factor history for several example materials are obtained. The results differ from mode I in that there is heavy dependence upon the material constants. This solution can be used as a Green's function to solve dynamic problems involving finite cracks and in-plane shear loading.

1.
Abou-Sayed
IS
Burgers
P
Freund
LB
1980
Stress Intensity Factor Due to the Parallel Impact Loading of the Faces of the Crack
Fracture Mechanics, 12th Conference ASTM-STP-700
(pg. 
164
-
173
)
2.
Atkinson
KE
1997
The Numerical Solution of Integral Equations of the Second Kind
Cambridge University Press
New York
3.
Chen
EP
Sih
GC
1977
Transient Response of Cracks to Impact Loads
Elastodynamic Crack Problems
Sih
GC
Noordhoff International Publishing
Leyden, The Netherlands
4.
Debnath
L
1995
Integral Transforms and their Applications
CRC Press
Boca Raton, FL
5.
Chao
CC
1960
Dynamical Response of an Elastic Half-Space Surface Loadings
ASME JOURNAL OF APPLIED MECHANICS
, vol. 
66
 
2
(pg. 
559
-
567
)
6.
Freund
LB
1974
The Stress Intensity Factor due to Normal Impact Loading on the Faces of a Crack
Int. J. Engng. Sci
, vol. 
66
 
2
(pg. 
179
-
189
)
7.
Freund
LB
1990
Dynamic Fracture Mechanics
Cambridge University Press
New York
8.
Honig
G
Hirdes
U
1984
A Method for the Numerical Inversion of Laplace Transforms
J. Comp. Appl. Math
, vol. 
66
 
2
(pg. 
113
-
132
)
9.
Isida
M
1972
Data on Crack Tip Stress Intensity Factors
JSME
, vol. 
66
 
2
(pg. 
1127
-
1135
)
10.
Kassir
MK
Bandyopadhyay
KK
1983
Impact Response of a Cracked Orthotropic Medium
ASME JOURNAL OF APPLIED MECHANICS
, vol. 
66
 
2
(pg. 
630
-
636
)
11.
Lambros
J
Rosakis
A
1995
Shear Dominated Transonic Interfacial Crack Growth in a Bimaterial-I. Experimental Observations
J. Mech. Phys. Solids
, vol. 
66
 
2
(pg. 
169
-
188
)
12.
Liu
C
Huang
Y
Rosakis
A
1995
Shear Dominated Transonic Interfacial Crack Growth in a Bimaterial-II. Asymptotic Fields and Favorable Velocity Regimes
J. Mech. Phys. Solids
, vol. 
66
 
2
(pg. 
189
-
206
)
13.
Nayfeh
AH
1995
Wave Propagation in Anisotropic Media with Applications to Composites
North-Holland
Amsterdam
14.
Papoulis
A
1962
The Fourier Integral and Its Applications
McGraw-Hill
New York
15.
Parton
VZ
Boriskovsky
VG
1989
Dynamic Fracture Mechanics
Stationary Cracks
, vol. 
66
 
2
Hemisphere
New York
16.
Rubio-Gonzalez
C
Mason
JJ
1999
Green's Functions for the Stress Intensity Factor Evolution in Finite Cracks in Orthotropic Materials
Int. J. of Fracture
 
submitted for publication
17.
Rosakis
AJ
1998
Plenary Lecture
The US National Congress in Applied Mechanics
Gainesville, FL
June
18.
Schwartz
MM
1997
Composite Materials: Properties, Nondestructive Testing and Repair
, vol. 
66
 
2
Prentice-Hall
Englewood Cliffs, NJ
19.
Shindo
Y
Nozaki
H
1986
Impact Response of a Finite Crack in an Orthotropic Strip
Acta Mechanica
, vol. 
66
 
2
(pg. 
87
-
104
)
20.
Shivakumar
KN
Crews
JH
1998
Modified Mixed-Mode Bending Test Apparatus for Measuring Delamination Fracture Toughness of Laminates Composites
J. Composites Materials
 
to appear
21.
Shukla
A
Singh
R
Lambros
J
Rosakis
A
1998
Investigation of the Mechanics of Intersonic Crack Propagation Along a Bimaterial Interface Using Coherent Gradient Sensing and Photoelasticity
Proceedings of Royal Society, London
 
to appear
22.
Sneddon
IN
1966
Mixed Boundary Value Problems in Potential Theory
North-Holland
Amsterdam
This content is only available via PDF.
You do not currently have access to this content.