Analysis of cracked layers under transient temperature field

References

• A. L. Florence and J. N. Goodier, “The linear thermoelastic problem of uniform heat flow disturbed by a penny-shaped insulated crack,” Int. J. Eng. Sci., vol. 1, no. 4, pp. 533–540, 1963. DOI: 10.1016/0020-7225(63)90008-9.
   Google Scholar
• Y. M. Tsai, “Thermal stress in a transversely isotropic medium containing a penny-shaped crack,” J. Appl. Mech., vol. 50, no. 1, pp. 24–28, 1983. DOI: 10.1115/1.3167012.
   Web of Science ®Google Scholar
• P.-D. Li, X.-Y. Li, and G.-Z. Kang, “Axisymmetric thermo-elastic field in an infinite space containing a penny-shaped crack under a pair of symmetric uniform heat fluxes and its applications,” Int. J. Mech. Sci., vol. 115, pp. 634–644, 2016. DOI: 10.1016/j.ijmecsci.2016.07.027.
   Web of Science ®Google Scholar
• X.-Y. Li, P.-D. Li, G.-Z. Kang, W.-Q. Chen, and R. Mller, “Steady-state thermo-elastic field in an infinite medium weakened by a penny-shaped crack: Complete and exact solutions,” Int. J. Solids Struct., vol. 84, pp. 167–182, 2016. DOI: 10.1016/j.ijsolstr.2016.02.001.
   Web of Science ®Google Scholar
• C. Atkinson and D. L. Clements, “On some crack problems in anisotropic thermoelasticity,” Int. J. Solids Struct., vol. 13, no. 9, pp. 855–864, 1977. DOI: 10.1016/0020-7683(77)90071-3.
   Web of Science ®Google Scholar
• H. F. Nied, “Thermal shock fracture in an edge-cracked plate,” J. therm. Stresses, vol. 6, nos. 2–4, pp. 217–229, 1983. DOI: 10.1080/01495738308942180.
   Web of Science ®Google Scholar
• A. E.-F. A. Rizk and S. F. Radwan, “Fracture of a plate under transient thermal stresses” J. Thermal Stresses, vol. 16, no. 1, pp. 79–102, 1993. DOI: 10.1080/01495739308946218.
   Web of Science ®Google Scholar
• T. J. Lu and N. A. Fleck, “The thermal shock resistance of solids,” Acta Mater., vol. 46, no. 13, pp. 4755–4768, 1998. DOI: 10.1016/S1359-6454(98)00127-X.
   Web of Science ®Google Scholar
• H. Sekine, “Thermal stresses near tips of an insulated line crack in a semi-infinite medium under uniform heat flow,” Eng. Fract. Mech., vol. 9, no. 2, pp. 499–507, 1977. DOI: 10.1016/0013-7944(77)90041-8.
   Web of Science ®Google Scholar
• C. Baoxing and Z. Xiangzhou, “Thermoelasticity problem of an orthotropic plate with two collinear cracks,” Int. J. Fract., vol. 38, no. 3, pp. 161–192, 1988. DOI: 10.1007/BF00034283.
   Web of Science ®Google Scholar
• C. Baoxing and Z. Xiangzhou, “Orthotropic thermoelasticity problem of symmetrical heat flow disturbed by three coplanar cracks,” Int. J. Fract., vol. 67, no. 4, pp. 301–314, 1994. DOI: 10.1007/BF00032497.
   Web of Science ®Google Scholar
• S. Thangjitham and H. J. Choi, “Thermal stress singularities in an anisotropic slab containing a crack,” Mech. Mater., vol. 14, no. 3, pp. 223–238, 1993. DOI: 10.1016/0167-6636(93)90068-3.
   Web of Science ®Google Scholar
• S. Itou, “Thermal stresses around two parallel cracks in an infinite orthotropic plate under uniform heat flow,” J. Thermal Stresses, vol. 24, no. 7, pp. 677–694, 2001. DOI: 10.1080/014957301300194832.
   Web of Science ®Google Scholar
• L. Liu and G. A. Kardomateas, “Thermal stress intensity factors for a crack in an anisotropic half plane,” Int. J. Solids Struct., vol. 42, no. 18, pp. 5208–5223, 2005. DOI: 10.1016/j.ijsolstr.2005.02.025.
   Web of Science ®Google Scholar
• X.-C. Zhong and B. Wu, “Thermoelastic analysis for an opening crack in an orthotropic material,” Int. J. Fract., vol. 173, no. 1, pp. 49–55, 2012. DOI: 10.1007/s10704-011-9665-z.
   Web of Science ®Google Scholar
• H. S. Jang and H. G. Beom, “Oblique edge crack in an orthotropic material under thermal loading,” Arch. Appl. Mech., vol. 84, no. 12, pp. 1903–1916, 2014. DOI: 10.1007/s00419-014-0894-2.
   Web of Science ®Google Scholar
• H. J. Choi, “Thermal stresses due to a uniform heat flow disturbed by a pair of offset parallel cracks in an infinite plane with orthotropy,” Eur. J. Mech. A Solid, vol. 63, pp. 1–13, 2017. DOI: 10.1016/j.euromechsol.2016.11.009.
   Web of Science ®Google Scholar
• X. Chen and X. Wang, “Effects of substrate thickness and heat transfer scheme on edge cracking of a brittle coating due to thermal transients,” Theor. Appl. Fract. Mech., vol. 90, pp. 100–109. 2017. DOI: 10.1016/j.tafmec.2017.03.006.
   Web of Science ®Google Scholar
• E. Sternberg and J. G. Chakravorty, “Thermal shock in an elastic body with a spherical cavity,” Quart. Appl. Math., vol. 17, no. 2, pp. 205–218, 1959. DOI: 10.1090/qam/107424.
   Google Scholar
• F. Erdogan, G. D. Gupta, and T. S. Cook, “Numerical solution of singular integral equations,” in Methods of Analysis and Solutions of Crack Problems, Mechanics of Fracture, vol. 1, G. C. Sih, ed. Dordrecht, Netherlands: Springer, 1973, pp. 368–425.
   Google Scholar
• A. M. Cohen, Numerical Methods for Laplace Transform Inversion. USA: Springer Science & Business Media, 2007.
   Google Scholar
• Z.-H. Jin and G. H. Paulino, “Transient thermal stress analysis of an edge crack in a functionally graded material,” Int. J. Fract., vol. 107, no. 1, pp. 73–98, 2001. DOI: 10.1023/A:1026583903046.
   Web of Science ®Google Scholar