The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem

The subject of the paper are Green’s functions for the stress intensity factors of modes I, II and III. Green’s functions are defined as a solution to the problem of an elastic, transversely isotropic solid with a penny-shaped or an external crack under general axisymmetric loadings acting along a circumference on the plane parallel to the crack plane. Exact solutions are presented in a closed form for the stress intensity factors under each type of axisymmetric ring forces as fundamental solutions. Numerical examples are employed and conclusions which can be utilized in engineering practice are formulated.

REFERENCES (14)

Chung M.Y. (2014): Green’s function for an anisotropic piezoelectric half - space bonded to a thin piezoelectric layer. - Arch. Mech., vol.66, pp.3-17, Warsaw.

Google Scholar

Kanninen M.F. and Popelar C.H. (1985): Advances Fracture Mechanics. - Oxford University Press, New York; Clarendon Press, Oxford.

Google Scholar

Kassir M.K. and Sih G.C. (1975): Three-dimensional crack problems. - In: Mechanics of Fracture, vol.2 (Edited by G.C. Sih), pp.44-73, Nordhoff, Leyden.

Google Scholar

Livieri P. and Segala F. (2013): Sharp evaluation of the Oore - Burns integral for cracks subjected to arbitrary normal stress field. - Fatigue and Fracture of Engineering Materials and Structures, vol.37, pp.95-106, Wiley Publishing Ltd.

Google Scholar

Muskhelishvili N.I. (1958): Singular Integral Equations. - Groningen, Holland. P. Noordhoff.

Google Scholar

Nowacki J.P., Alshits V.I. and Radowicz A. (2001): Green’s function for a piezoelectric layer - substrate structure with a general line defect. - Int. J. Appl. Electromagn. Mech., vol.14, pp.429-433.

Google Scholar

Nowacki J.P., Alshits V.I. and Radowicz A. (2002): 2D elektro-elastic fields in a piezoelectric layer - substrate structure. - Int. J. Engng. Sci., vol.20, pp.2057-2076.

Google Scholar

Rogowski B. (1986): Inclusion, punch and crack problems in an elastically supported transversely isotropic layer. - Solid Mechanics Archives, Oxford University Press, Oxford, England, pp.65-102.

Google Scholar

Rogowski B. (2014a): Fracture mechanics of anisotropic bodies. Methods of analysis and solutions of crack problems. - Lodz University of Technology, 430 pages.

Google Scholar

10.

Rogowski B. (2014b): Crack problems in anisotropic thermoelasticity. - Lodz University of Technology, 230 pages.

Google Scholar

11.

Sneddon I.N. and Lowengrub M. (1969): Crack Problems in the Classical Theory of Elasticity. - New York: Wiley.

Google Scholar

12.

Sneddon I.N. (1972): The Use of Integral Transforms. - New York: Mc Graw-Hill.

Google Scholar

13.

Ting T.C.T. (2007): Mechanics of a thin anisotropic elastic layer and a layer that is bonded to anisotropic elastic body or bodies. - Proc. R. Soc. 463, pp.2223-2239, London.

Google Scholar

14.

Ting T.C.T. (2008): Green’s functions for a half - space and two half - spaces bonded to a thin anisotropic elastic layer. - J. Appl. Mech 75.

Google Scholar

Submit your paper

eISSN:	2353-9003
ISSN:	1734-4492