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Research Papers

A Novel Singular Finite Element on Mixed-Mode Dugdale Model Based Crack

[+] Author and Article Information
W. A. Yao1

State Key Laboratory of Structural Analysis for Industrial Equipment,  Dalian University of Technology, Dalian 116024, P. R. China

X. F. Hu

State Key Laboratory of Structural Analysis for Industrial Equipment,  Dalian University of Technology, Dalian 116024, P. R. China

1

Corresponding author.

J. Eng. Mater. Technol 134(2), 021003 (Mar 27, 2012) (8 pages) doi:10.1115/1.4006181 History: Received February 25, 2011; Revised February 17, 2012; Published March 26, 2012; Online March 27, 2012

The symplectic dual approach is employed to obtain the analytical solutions of displacements and stresses around the mixed-mode Dugdale crack tip. Based on the analytical solutions, a novel singular finite element is developed to study the problem. The singular finite element can be applied to determine the sizes of crack tip opening/sliding displacement of a mixed-mode Dugdale model. Numerical results obtained by the present method show excellent agreement with the existing analytical solutions.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Mixed-mode Dugdale model and the singular finite element

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Figure 2

Illustration of iteration step 1

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Figure 3

(a) and (b) Mixed-mode Dugdale model of a center crack and the FEM mesh

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Figure 4

Cohesive stresses acting on virtual crack versus changing loading

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Figure 5

Temporary results of length of plastic zone in each iteration step

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Figure 6

Temporary results of cohesive stresses in each iteration step

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Figure 7

A plate with edge crack under mixed-mode loading

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Figure 8

Length of plastic zone versus changing loading

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Figure 9

COD versus changing loading

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Figure 10

Cohesive stresses versus changing loading

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Figure 11

(a)–(f) Contour lines of stresses in singular element for iteration steps 1, 5, and 10

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