New path independent integrals in linear elastic fracture mechanics
โ Scribed by Y.Z. Chen
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 898 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
In this paper the properties of eigenfunction expansion form (abbreviated as EEF) in the crack problems of plane elasticity and antiplane elasticity are discussed in details. After using the Betti's reciprocal theorem to the cracked body, several new path independent integrals are obtained. All the coefficients in the EEF at the crack-tip, including the K,, Kz and K3 values, can be related to corresponding path-independent integrals.
๐ SIMILAR VOLUMES
Abs~act-"Path-independent" integrals are presented for use in fracture dynamics. One class of integrals is based on a reciprocal theorem and the other is related to the energy flow into a moving crack tip. These integrals may be used to numerically calculate the dynamic stress intensity factor in el
Based on the energy foundation of the path-independent integral in non-linear fracture mechanics, I\* integral as the dual form of Rice's J is presented, it is also path-independent and is equivalent to J in value but it relates to the complementary energy. It is proved that, in numerical implementa