Journal article
Continuum shape sensitivity analysis of a mixed-mode fracture in functionally graded materials
Computer methods in applied mechanics and engineering, Vol.194(18), pp.1913-1946
2005
DOI: 10.1016/j.cma.2004.06.027
Abstract
This paper presents two new methods for conducting a continuum shape sensitivity analysis of a crack in an isotropic, linear-elastic functionally graded material. These methods involve the material derivative concept from continuum mechanics, domain integral representation of interaction integrals, known as the
M-integral, and direct differentiation. Unlike virtual crack extension techniques, no mesh perturbation is needed 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 meshless method, finite element method, boundary element method, or others. Three numerical examples are presented to calculate the first-order derivative of the stress–intensity factors. The results show that first-order sensitivities of stress intensity factors obtained using the proposed method are in excellent agreement with the reference solutions obtained using the finite-difference method for the structural and crack geometries considered in this study.
Details
- Title: Subtitle
- Continuum shape sensitivity analysis of a mixed-mode fracture in functionally graded materials
- Creators
- B.N Rao - Structural Engineering Division, Department of Civil Engineering, Indian Institute of Technology Madras, Chennai 600 036, IndiaS Rahman - Center for Computer-Aided Design, The University of Iowa, 220 Engineering Research Facility, Iowa City, IA 52242-1000, United States
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.194(18), pp.1913-1946
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cma.2004.06.027
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 2005
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064207002771
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