Conference proceeding
A Continuum Shape Sensitivity Method for Fracture Analysis of Isotropic Functionally Graded Materials
Experience With Creep-Strength Enhanced Ferritic Steels and New and Emerging Computational Methods, Vol.476, pp.131-160
ASME/JSME 2004 Pressure Vessels and Piping Conference, San Diego, California, USA, Jul. 25 - 29, 2004
01/01/2004
DOI: 10.1115/PVP2004-2579
Abstract
This paper presents a new continuum shape sensitivity method for calculating mixed-mode stress-intensity factors for a stationary crack in two-dimensional, linear-elastic, isotropic FGMs with arbitrary geometry. The method involves the material derivative concept taken from continuum mechanics, the mutual potential energy release rate, and direct differentiation. Since the governing variational equation is differentiated prior to discretization, resulting sensitivity equations are independent of approximate numerical techniques, such as the finite element method, boundary element method, mesh-free method, or others. The discrete form of the mutual potential energy release rate is simple and easy to calculate, as it only requires multiplication of displacement vectors and stiffness sensitivity matrices. By judiciously selecting the velocity field, the method only requires displacement response in a subdomain close to the crack tip, thus making the method computationally efficient. Seven finite-element based numerical examples, which comprise mode-I and mixed-mode deformations and/or single or multiple interacting cracks, are presented to evaluate the accuracy of the fracture parameters calculated by the proposed method. Comparisons have been made between stress-intensity factors predicted by the proposed method and available reference solutions in the literature, generated either analytically or numerically using various other fracture integrals or analyses. Excellent agreement is obtained between the results of the proposed method and previously obtained solutions. Therefore, shape sensitivity analysis provides an attractive alternative to fracture analysis of cracks in homogeneous and non-homogeneous materials.
Details
- Title: Subtitle
- A Continuum Shape Sensitivity Method for Fracture Analysis of Isotropic Functionally Graded Materials
- Creators
- B. N Rao - University of IowaS Rahman - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- Experience With Creep-Strength Enhanced Ferritic Steels and New and Emerging Computational Methods, Vol.476, pp.131-160
- Conference
- ASME/JSME 2004 Pressure Vessels and Piping Conference, San Diego, California, USA, Jul. 25 - 29, 2004
- Publisher
- ASMEDC
- DOI
- 10.1115/PVP2004-2579
- ISSN
- 0277-027X
- Language
- English
- Date published
- 01/01/2004
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984196538502771
Metrics
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