Finite element study of a penny-shaped crack along the interface in a bi-material cylinder
โ Scribed by H.V. Lakshminarayana; M. Bernard; T. Bui-Quoc
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 1017 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
Ah&act-A contemporary approach to the analysis of interface cracks in b&material cylinders using finite elements is presented. From results obtained with a commercial finite element code using regular and singular isoparametric elements, three fracture mechanics techniques are considered to study the interface crack problem and are presented in a fundamental manner. These are the stress intensity factor evaluation by the crack opening displacement method, the strain energy release rate evaluation using the modified crack closure integral method, and the J-integral evaluation using the virtual crack extension technique. Only the finite element results in the vicinity of the crack are then needed. The accuracy of the proposed approach is assessed by solving standard test problems with known solutions. In particular, the mode I problem of a ~nny-shah crack in a homogen~us isotropic cylinder under remote tension loading is used as a standard test case. Finaliy, the mixed-mode (I and II) problem of a penny-shaped crack along the interface in a bi-material cylinder under three loading conditions is studied in detail. Numerical results are presented to quantify the combined effects of geometry and material discontinuities on the strain energy release rate.
๐ SIMILAR VOLUMES
Abstrat-By using the Hankel transform and the Fourier series, the stress intensity factor of a concentric penny-shaped crack in a finite long cylinder of a finite radius for mode III is determined. It is proved that the concentric penny-shaped cracks in an infinite long cylinder and in an infinite c
The general solution of the stress intensity factor of a finite cylinder containing a concentric penny-shaped crack under torsion is obtained by use of the Hankel transform and Fourier series in this paper. It is easily verified that the results of a penny-shaped crack in an infinite long cylinder a
## Abatrect-With the aid of the basic theorem of the Hankel transform and Fourier series, the general solution of the stress intensity factor of a concentric penny-shaped crack in a finite orthotropic cylinder under torsion, is obtained in this study. The result of the mixed boundary value problem