Computation of Mixed-Mode Stress Intensity Factors for Cracks in Three-Dimensional Functionally Graded Solids

2006 ◽  
Vol 132 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Matthew C. Walters ◽  
Glaucio H. Paulino ◽  
Robert H. Dodds
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Mode Stress

A General Numerical Procedure for Extracting Mixed-Mode Stress Intensity Factors Along the Fronts of Three-Dimensional Nonplanar Cracks

2002 ◽  
Author(s):  
M. Gosz ◽  
R. Cammino
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Intensity Factors ◽  
Hydrostatic Tension ◽  
Energy Integrals ◽  
Shaped Crack ◽  
Mode Stress

A numerical procedure is described for extracting mixed-mode stress intensity factors along the fronts of three-dimensional, nonplanar cracks embedded in solids. The mixed-mode stress intensity factors at points along the crack front are obtained by evaluating interaction energy integrals for three-dimensional, non-planar cracks. To assess the validity of the numerical procedure, two numerical examples are considered. First, we consider the problem of a non-planar, lens-shaped crack in an infinite solid subjected to hydrostatic tension. The numerical results are shown to be in excellent agreement with available analytical results. We then consider the case of a non-planar, warped elliptical crack surface, where to our knowledge no analytical solution exists, and the results are discussed.

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