期刊
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
卷 10, 期 1, 页码 65-77出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10999-013-9231-0
关键词
Weight function; Stress intensity factor; Functionally graded material; Virtual crack extension technique
资金
- National Natural Science Foundation of China [11372280, 51275471, 11002126]
- Zhejiang Provincial Natural Science Foundation of China [Y6100425, Y1100108]
The weight function method provides a powerful approach for calculating the stress intensity factors for a homogeneous cracked body subjected to mechanical loadings. In this paper, the basic equations of weight function method for mode I and mixed mode crack problems in a two-dimensional functionally graded crack system are derived based on the Betti's reciprocal theorem. The weight functions derived by the virtual crack extension technique are further used to calculate the stress intensity factors of functionally graded materials (FGMs). The practicability and accuracy of this proposed method has been confirmed by the comparison with theoretical or numerical solutions available in the literatures. On account that the repeated extractions of the distributions of normal stress and shear stress in the uncracked component along the prospective crack line under different loadings can be avoided using the method presented in this paper, this method can be potentially used for optimal design for FGMs under multiple-load cases.
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