Abstract
Thermally-induced stress singularities of an interlaminar crack in a fiber-reinforced composite laminate under a state of generalized plane deformation are examined within the framework of steady-state anisotropic thermoelasticity. The crack is assumed to be embedded within a matrix-rich interlaminar region of the composite. The Fourier integral transform technique and the flexibility/stiffness matrix method are introduced to formulate the current mixed boundary value problem. As a result, two sets of simultaneous Cauchy-type singular integral equations of the first kind are derived for the heat conduction and thermoelasticity. Within the context of linear elastic fracture mechanics, the mixed-mode thermal stress intensity factors are defined in terms of the solutions of the corresponding integral equations. Numerical results are presented, addressing the effects of laminate stacking sequence, crack location, and crack surface partial insulation on the values of thermal stress intensity factors.
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References
G.C. Sih, ASME Journal of Applied Mechanics 29 (1962) 587–589.
E.J. Brown and F. Erdogan, International Journal of Engineering Science 6 (1968) 517–529.
D.S. Wolf and C.T. Sun, Proceedings of an International Conference on Fracture Mechanics in Engineering Applications (1979) 767–778.
A.Y. Kuo, ASME Journal of Applied Mechanics 57 (1990) 359–364.
J.R. Rice and G.C. Sih, ASME Journal of Applied Mechanics 32 (1965) 418–423.
C.J. Martin-Moran, J.R. Barber, and M. Comninou, ASME Journal of Applied Mechanics 50 (1983) 29–36.
M. Comninou, ASME Journal of Applied Mechanics 44 (1977) 631–636.
C. Atkinson and D.L. Clements, International Journal of Solids and Structures 13 (1977) 855–864.
F.A. Sturla and J.R. Barber, ASME Journal of Applied Mechanics 55 (1988) 372–376.
Y.M. Tsai, Journal of Composite Materials 18 (1984) 122–131.
D.L. Clements and T.R. Tauchert, Journal of Australian Mathematical Society 21B (1979) 243–255.
H.J. Choi and S. Thangjitham, Engineering Fracture Mechanics 43 (1992) 487–500.
S. Thangjitham and H.J. Choi, Mechanics of Materials 14 (1993) 223–238.
D.L. Clements, International Journal of Solids and Structures 19 (1983) 121–130.
S.S. Wang, ASME Journal of Applied Mechanics 47 (1980) 64–70.
H.J. Choi and S. Thangjitham, International Journal of Engineering Science 29 (1991) 819–829.
S. Thangjitham and H.J. Choi, International Journal of Solids and Structures 30 (1993) 963–980.
J.R. Barber, Journal of Thermal Stresses 3 (1980) 77–83.
S. Thangjitham and H.J. Choi, ASME Journal of Applied Mechanics 58 (1991) 1021–1027.
S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow (1981).
J.L. Nowinski, Theory of Thermoelasticity with Applications, Sijthoff & Noordhoff, The Netherlands (1978).
I.N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York (1951).
N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen, The Netherlands (1958).
F. Erdogan, in Mechanics Today, S. Nemat-Nasser (ed.) Pergamon Press 4 (1977) 1–86.
F. Erdogan, SIAM Journal of Applied Mathematics 17 (1969) 1041–1069.
S.N. Chatterjee, in Modern Developments in Composite Materials and Structures, J.R. Vinson (ed.) ASME (1979) 1–15.
E. Kausel and S.H. Seale, ASME Journal of Applied Mechanics 54 (1987) 403–408.
H.J. Choi and S. Thangjitham, Composites Science and Technology 40 (1991) 289–305.
H.J. Choi and S. Thangjitham, ASME Journal of Applied Mechanics 58 (1991) 382–387.
G.M.L. Gladwell and A.H. England, Quarterly Journal of Mechanics and Applied Mathematics 30 (1977) 175–185.
D. Broek, The Practical Use of Fracture Mechanics, Kluwer Academic Publishers, The Netherlands (1989).
C.C. Chamis, SAMPE Quarterly April (1984) 14–23.
M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions, Dover, New York (1965).
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Choi, H.J., Thangjitham, S. Thermally-induced interlaminar crack-tip singularities in laminated anisotropic composites. Int J Fract 60, 327–347 (1993). https://doi.org/10.1007/BF00034740
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DOI: https://doi.org/10.1007/BF00034740