Shape sensitivity analysis in mixed-mode fracture mechanics

G CHEN; S RAHMAN; Y. H PARK

doi:10.1007/s004660100238

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$Shape sensitivity analysis in mixed-mode fracture mechanics$

Journal article

Peer reviewed

Shape sensitivity analysis in mixed-mode fracture mechanics

G CHEN, S RAHMAN and Y. H PARK

Computational mechanics, Vol.27(4), pp.282-291

2001

DOI: 10.1007/s004660100238

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Abstract

This paper presents a new method for continuum-based shape sensitivity analysis for a crack in a homogeneous, isotropic, and linear-elastic body subject to mixed-mode (modes I and II) loading conditions. The method is based on the material derivative concept of continuum mechanics, domain integral representation of an interaction integral, and direct differentiation. Unlike virtual crack extension techniques, no mesh perturbation is needed in the proposed method to calculate the sensitivity of stress-intensity factors. Since the governing variational equation is differentiated prior to the process of discretization, the resulting sensitivity equations are independent of approximate numerical techniques, such as the finite element method, boundary element method, meshless methods, or others. In addition, since the interaction integral is represented by domain integration, only the first-order sensitivity of the displacement field is needed. Two numerical examples are presented to illustrate the proposed method. The results show that the maximum difference in the sensitivity of stress-intensity factors calculated using the proposed method and reference solutions obtained by analytical or finite-difference methods is less than four percent.

Solid Mechanics

Physics

Mechanical and acoustical properties of condensed matter

Fundamental areas of phenomenology (including applications)

Structural and continuum mechanics

Theory and numerical methods

Exact sciences and technology

Condensed matter: structure, mechanical and thermal properties

Continuum mechanics (soil mechanics...)

Computational methods in continuum mechanics

Deformation and plasticity (including yield, ductility, and superplasticity)

Mechanical properties of solids

Fatigue, brittleness, fracture, and cracks

Details

Title: Subtitle: Shape sensitivity analysis in mixed-mode fracture mechanics
Creators: G CHEN - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United States
S RAHMAN - Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United States
Y. H PARK - Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003, United States
Resource Type: Journal article
Publication Details: Computational mechanics, Vol.27(4), pp.282-291
Publisher: Springer; Heidelberg; Berlin
DOI: 10.1007/s004660100238
ISSN: 0178-7675
eISSN: 1432-0924
Language: English
Date published: 2001
Academic Unit: Mechanical Engineering
Record Identifier: 9984064577202771

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