Investigation of the effects of confining pressure on SIFs and T-stress for CCBD specimens using the XFEM and the interaction integral method

The so-called T-stress, or second term of the William (1957) series expansion for linear elastic crack-tip fields, has found many uses in fracture mechanics applications. In this paper, an interaction integral method for calculating the T-stress for two-dimensional crack problems using the extended radial point interpolation method (XRPIM) is presented. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. The T-stress can be calculated directly from a path independent interaction integral entirely based on the J-integral by simply the auxiliary field. Several benchmark examples in 2D crack problem are performed and compared with other existing solutions to illustrate the correction of the presented approach.

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A new approach to compute T-stress in functionally graded materials by means of the interaction integral method

Engineering Fracture Mechanics ◽

10.1016/j.engfracmech.2003.11.005 ◽

2004 ◽

Vol 71 (13-14) ◽

pp. 1907-1950 ◽

Cited By ~ 62

Author(s):

Glaucio H. Paulino ◽

Jeong-Ho Kim

Keyword(s):

Functionally Graded Materials ◽

Integral Method ◽

Functionally Graded ◽

Graded Materials ◽

New Approach ◽

Interaction Integral ◽

T Stress

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Symmetric Galerkin boundary element computation of T -stress and stress intensity factors for mixed-mode cracks by the interaction integral method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2004.02.009 ◽

2004 ◽

Vol 28 (11) ◽

pp. 1335-1350 ◽

Cited By ~ 28

Author(s):

Alok Sutradhar ◽

Glaucio H. Paulino

Keyword(s):

Stress Intensity ◽

Boundary Element ◽

Stress Intensity Factors ◽

Integral Method ◽

Mixed Mode ◽

Intensity Factors ◽

Interaction Integral ◽

T Stress ◽

Element Computation

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A Generalized Interaction Integral Method for the Evaluation of the T-Stress in Orthotropic Functionally Graded Materials Under Thermal Loading

Journal of Applied Mechanics ◽

10.1115/1.2936234 ◽

2008 ◽

Vol 75 (5) ◽

Cited By ~ 23

Author(s):

Jeong-Ho Kim ◽

Amit KC

Keyword(s):

Orthotropic Material ◽

Integral Method ◽

Mixed Mode ◽

Functionally Graded ◽

Intensity Factors ◽

Graded Materials ◽

Interaction Integral ◽

T Stress ◽

Mode Stress ◽

Material Gradation

The interaction integral method that is equipped with the nonequilibrium formulation is generalized to evaluate the nonsingular T-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 T-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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