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TECHNICAL PAPERS

Boundary Element Method Analysis of Three-Dimensional Thermoelastic Fracture Problems Using the Energy Domain Integral

[+] Author and Article Information
R. Balderrama, M. Martinez

Mechanical Engineering School, Universidad Central de Venezuela, Caracas, Venezuela

A. P. Cisilino1

Department of Mechanical Engineering, Welding and Fracture Division – INTEMA – CONICET, Universidad Nacional de Mar del Plata, Av. Juan B. Justo 4302, 7600 Mar del Plata, Argentinacisilino@fi.mdp.edu.ar

1

To whom correspondence should be addressed.

J. Appl. Mech 73(6), 959-969 (Dec 21, 2005) (11 pages) doi:10.1115/1.2173287 History: Received June 07, 2005; Revised December 21, 2005

A boundary element method (BEM) implementation of the energy domain integral (EDI) methodology for the numerical analysis of three-dimensional fracture problems considering thermal effects is presented in this paper. The EDI is evaluated from a domain representation naturally compatible with the BEM, since stresses, strains, temperatures, and derivatives of displacements and temperatures at internal points can be evaluated using the appropriate boundary integral equations. Special emphasis is put on the selection of the auxiliary function that represents the virtual crack advance in the domain integral. This is found to be a key feature to obtain reliable results at the intersection of the crack front with free surfaces. Several examples are analyzed to demonstrate the efficiency and accuracy of the implementation.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Definition of the local orthogonal Cartesian coordinates at point η on the crack front. (b) Virtual crack front advance.

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Figure 2

Tubular domain surrounding a segment of the crack front

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Figure 3

(a) General cracked body with mechanical and thermal boundary conditions. (b) Crack discretization strategy.

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Figure 4

Schematic of the volume cells in the crack front region illustrating the virtual crack extensions for a corner node, a mid-node, and a surface node

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Figure 5

Boundary element discretization and integration cells

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Figure 6

Influence of parameters wp, wnp, and β on the shape of function φ (one-dimensional case)

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Figure 7

Geometry, dimensions, and boundary conditions for the edge and center cracked specimens

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Figure 8

Geometry, dimensions, crack discretization, and boundary conditions for the penny-shaped and annular cracks

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Figure 9

Normalized mode I stress intensity factor along the crack front for the edge crack in a thick panel: (a) results using bi-quadratic φ and (b) results using optimized φ

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Figure 10

Normalized mode I stress intensity factor along the crack front for the central crack in a thick panel: (a) results using bi-quadratic φ and (b) results using optimized φ

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