The interaction integral method that is equipped with the nonequilibrium formulation is generalized to evaluate the nonsingular -stress as well as mixed-mode stress intensity factors in orthotropic functionally graded materials under thermomechanical loads. This paper addresses both Mode-I and mixed-mode fracture problems and considers various types of orthotropic material gradation. The orthotropic thermomechanical material properties are graded spatially and integrated into the element stiffness matrix using the direct Gaussian formulation. The types of orthotropic material gradation considered include exponential, power-law, and hyperbolic-tangent functions, and the numerical formulation is generalized for any type of smooth material gradation. The -stress and mixed-mode stress intensity factors are evaluated by means of the interaction integral method developed in conjunction with the finite element method. The accuracy of numerical results is assessed by means of thermomechanically equivalent problems.
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September 2008
Special Issue Honoring Professor Fazil Erdogan’S Contributions To Mixed Boundary Value Problems Of Inhomogeneous And Functionally Graded Materials
A Generalized Interaction Integral Method for the Evaluation of the T-Stress in Orthotropic Functionally Graded Materials Under Thermal Loading
Jeong-Ho Kim,
Jeong-Ho Kim
Department of Civil and Environmental Engineering,
e-mail: jhkim@engr.uconn.edu
University of Connecticut
, 261 Glenbrook Road, U-2037, Storrs, CT 06269
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Amit KC
Amit KC
GM2 Associates Inc.
, 730 Hebron Avenue, Glastonbury, CT 06033
Search for other works by this author on:
Jeong-Ho Kim
Department of Civil and Environmental Engineering,
University of Connecticut
, 261 Glenbrook Road, U-2037, Storrs, CT 06269e-mail: jhkim@engr.uconn.edu
Amit KC
GM2 Associates Inc.
, 730 Hebron Avenue, Glastonbury, CT 06033J. Appl. Mech. Sep 2008, 75(5): 051112 (11 pages)
Published Online: July 22, 2008
Article history
Received:
June 5, 2007
Revised:
December 28, 2007
Published:
July 22, 2008
Citation
Kim, J., and KC, A. (July 22, 2008). "A Generalized Interaction Integral Method for the Evaluation of the T-Stress in Orthotropic Functionally Graded Materials Under Thermal Loading." ASME. J. Appl. Mech. September 2008; 75(5): 051112. https://doi.org/10.1115/1.2936234
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