Complex Stress Intensity Factors in Bent Plates With Cracks

1982 ◽  
Vol 49 (1) ◽  
pp. 87-96 ◽  
Author(s):  
P. S. Theocaris

The experimental method of caustics was applied to the study of asymmetric bending of isotropic cracked plates and to the determination of the complex stress intensity factors (S.I.F’s) at the crack tips. It was shown that the method of reflected caustics is convenient for detecting and evaluating both KI and KII stress intensity factors. Based on the singular approximation of the elastic solution around the crack tip, the theory of formation of the caustics was developed and related to the evaluation of both components of stress intensity factors. It was also shown that the generalized method of caustics, known as the method of pseudocaustics, is a potential and simple method for determining S.I.F’s in cracked plates submitted to bending. Experimental evidence with specimens made either of optically inert materials, such as plexiglass, or of any opaque material like steel, and elastically loaded, has corroborated the theoretical results.

1980 ◽  
Vol 47 (2) ◽  
pp. 342-346 ◽  
Author(s):  
P. S. Theocaris ◽  
N. I. Ioakimidis

Path-independent integrals about crack tips may be used to estimate stress-intensity factors at crack tips in plane and antiplane elasticity problems. In this paper a new class of such integrals is established by using complex stress functions and the trivial application of the Cauchy theorem of complex analysis. Both the simple Westergaard complex potentials of plane and antiplane elasticity and the more general Muskhelishvili complex potentials will be used for the construction of appropriate path-independent integrals. Two applications of these integrals to the theoretical determination of stress-intensity factors at crack tips are presented. An optical method for the experimental determination of stress-intensity factors at crack tips, based on the use of appropriate complex path-independent integrals, is also proposed.


1983 ◽  
Vol 18 (2) ◽  
pp. 305-313 ◽  
Author(s):  
A. Subramanian ◽  
Ramesh Chandra ◽  
M.V.V. Murthy ◽  
A.K. Rao

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