In this study, a dynamic antiplane crack propagation with constant velocity in a configuration with boundary is investigated in detail. The reflected cylindrical waves which are generated from the free boundary will interact with the propagating crack and make the problem extremely difficult to analyze. A useful fundamental solution is proposed in this study and the solution is determined by superposition of the fundamental solution in the Laplace transform domain. The proposed fundamental problem is the problem of applying exponentially distributed traction (in the Laplace transform domain) on the propagating crack faces. The Cagniard’s method for Laplace inversion is used to obtain the transient solution in time domain. Numerical results of dynamic stress intensity factors for the propagation crack are evaluated in detail.

1.
Baker
B, R.
,
1962
, “
Dynamic Stresses Created by a Moving Crack
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
29
, pp.
449
458
.
2.
Broberg
K. B.
,
1960
, “
The Propagation of a Brittle Crack
,”
Arkiv for Fysik
, Vol.
18
, pp.
159
192
.
3.
Craggs
J. W.
,
1960
, “
On the Propagation of a Crack in an Elastic-Brittle Solid
,”
Journal of the Mechanics and Physics of Solids
, Vol.
8
, pp.
66
75
.
4.
Freund
L. B.
,
1972
a, “
Crack Propagation in an Elastic Solid Subjected to General Loading-I. Constant Rate of Extension
,”
Journal of the Mechanics and Physics of Solids
, Vol.
20
, pp.
129
140
.
5.
Freund
L. B.
,
1972
b, “
Crack Propagation in an Elastic Solid Subjected to General Loading-II. Non-uniform Rate of Extension
,”
Journal of the Mechanics and Physics of Solids
, Vol.
20
, pp.
141
152
.
6.
Freund
L. B.
,
1973
, “
Crack Propagation in an Elastic Solid Subjected to General Loading-III. Stress Wave Loading
,”
Journal of the Mechanics and Physics of Solids
, Vol.
21
, pp.
47
61
.
7.
Freund
L. B.
,
1974
, “
Crack Propagation in an Elastic Solid Subjected to General Loading-IV. Obliquely Incident Stress Pulse
,”
Journal of the Mechanics and Physics of Solids
, Vol.
22
, pp.
137
146
.
8.
Freund
L. B.
, and
Rosakis
A. J.
,
1992
, “
The Structure of the Near-tip Field during Transient Elastodynamic Crack Growth
,”
Journal of the Mechanics and Physics of Solids
, Vol.
40
, pp.
699
719
.
9.
Ma
C. C.
, and
Burgers
P.
,
1986
, “
Mode III Crack Kinking with Delay Time: An Analytical Approximation
,”
International Journal of Solids and Structures
, Vol.
22
, pp.
883
899
.
10.
Ma
C. C.
, and
Burgers
P.
,
1987
, “
Dynamic Mode I and Mode II Crack Kinking Including Delay Time Effects
,”
International Journal of Solids and Structures
, Vol.
23
, pp.
897
918
.
11.
Ma
C. C.
, and
Burgers
P.
,
1988
, “
Initiation, Propagation, and Kinking of an Antiplane Crack
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
55
, pp.
111
119
.
12.
Ma
C. C.
,
1988
, “
Initiation, Propagation, and Kinking of an In-plane Crack
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
55
, pp.
587
595
.
13.
Ma
C. C.
,
1990
, “
Dynamic Mixed Mode I–II Crack Kinking under Oblique Stress Wave Loading in Brittle Solids
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
57
, pp.
117
127
.
14.
Ma
C. C.
, and
Chen
S. K.
,
1994
, “
Exact Transient Full Field Analysis of an Antiplane Subsurface Crack Subjected to Dynamic Impact Loading
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
61
, pp.
649
655
.
15.
Nilsson, F., 1973, “A Transient Crack Problem for an Infinite Strip under Antiplane Shear,” Dynamic Crack Propagation, G. C. Sih, ed., The Netherlands, pp. 543–551. Nordhoff.
16.
Tsai
C. H.
, and
Ma
C. C.
,
1992
, “
Transient Analysis of a Semi-infinite Crack Subjected to Dynamic Concentrated Forces
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
59
, pp.
804
811
.
17.
Tsai
C. H.
, and
Ma
C. C.
,
1993
a, “
The Transient Analysis of a Subsurface Inclined Crack Subjected to a Buried Dynamic Dilatational Source
,”
International Journal of Solids and Structures
, Vol.
30
, pp.
399
412
.
18.
Tsai
C. H.
, and
Ma
C. C.
,
1993
b, “
The Stress Intensity Factor of a Subsurface Inclined Crack Subjected to a Dynamic Impact Loading
,”
International Journal of Solids and Structures
, Vol.
30
, pp.
2163
2175
.
19.
Yoffe
E. H.
,
1951
, “
The Moving Griffith Crack
,”
Philosophical Magazine
, Vol.
42
, pp.
739
750
.
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