Elastodynamic Crack Problems

Front Cover
George C. Sih
Springer Science & Business Media, Mar 31, 1977 - Science - 352 pages
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Contents

Transient response of cracks to impact loads
1
12 Semiinfinite cracks
2
13 Plane cracks with finite dimensions
13
14 Pennyshaped cracks
23
15 Transient response of a bent plate with a through crack
36
16 Sudden tractions applied to a strip containing a crack
42
17 Interaction of a crack with suddenly displaced boundaries
49
Inverse Laplace transform of stress or moment intensity factor
55
310 SHwaves striking a moving crack
202
Function decomposition
209
References
211
Dynamic crack problems in dissimilar media
213
42 Antiplane strain of a semiinfinite crack in dissimilar media
218
43 Crack expanding along and through interfaces between two different elastic media under antiplane strain
226
44 A crack moving along an interface at a non uniform rate antiplane strain
229
45 A semiinfinite crack running along an interface plane strain
230

References
57
Cracks moving at constant velocity and acceleration
59
22 Elastodynamic equations in twodimensions
60
23 Semiinfinite moving crack
62
24 Finite length crack propagating at a constant velocity
71
25 Semiinfinite crack motion maintained by displacement boundary conditions
75
26 Finite length crack moving between clamped and free boundaries
82
27 Through crack extending at both ends
93
28 Pennyshaped crack propagating at uniform velocity
101
29 Crack propagation with acceleration
108
References
116
Scattering waves about stationary and moving cracks
119
32 Wave equations in the theory of elasticity
123
33 Solution of dual integral equations
126
34 Plane crack engulfed by P and SVwaves
131
35 Diffraction of SHwaves by a plane crack
151
36 Normal compression and radial shear waves impinging on a pennyshaped crack
156
37 Interaction of torsional waves with a penny shaped crack
167
38 Flexural wave propagation in an elastic plate with a crack
172
39 Moving crack interacting with P and SV waves
181
46 Expanding cracks along interfaces plane strain
236
47 Cracks in media with spatially varying elastic moduli
237
References
247
Dynamic analysis of cracked structures using singularity finite elements
249
formulation
250
applications
268
formulation
278
application
283
Stiffness matrices for displacement compatible elements
288
References
292
Numerical analysis of dynamic crack problems
295
62 HEMP 3D A finitedifference simulation program
297
63 Twodimensional crack problems
316
64 Threedimensional crack problems
325
65 Determination of static values by dynamic programs
331
66 Effect of grid size on calculations of stress intensity factors
334
67 Computer simulation of fracture
335
68 Appendix
341
References
343
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Page xlvi - Kipp, ME and Sih, GC, The strain energy density failure criterion applied to notched elastic solids, International Journal of Solids and Structures, 2, pp.
Page xlvi - Dynamic aspects of crack propagation: inelastic behavior of solids, edited by MF Kanninen, WF Adler, AR Rosenfield and RI Jaffee, McGraw-Hill, pp.
Page xv - Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, New York 11794-3600 Books Received for Review Askin, Ronald G., Jeffrey B.
Page xi - For example, if the time required to apply the load, ie, increase the load from zero to its maximum value, is less than half the fundamental natural period of the structure, the loading is definitely impact.
Page x - ... metals. In this chapter we shall consider only inertia effects, even if we deal with fracture-mechanics problems, confining ourselves to brittle fracture. It has long been recognized that high loading rates tend to promote brittle fracture, a phenomenon associated with the sudden creation of a macrocrack free surface. When a body is loaded quickly, there is less time for yielding or microscopic damage to take place, and hence energy is released within a short time interval by rapid macrocrack...
Page xv - School of Engineering Science and Mechanics, Georgia Institute of Technology, Atlanta, Georgia, USA Albert S.
Page xlvii - Prospects of Fracture Mechanics, edited by GC Sih, HC van Elst and D. Broek, Noordhoff International Publishing, Leyden, pp.

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