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A new analytical generalization of the J and G-theta integrals for planar cracks in a three-dimensional medium
- Source :
- Theoretical and Applied Fracture Mechanics, Theoretical and Applied Fracture Mechanics, 2018, ⟨10.1016/j.tafmec.2018.01.004⟩, Theoretical and Applied Fracture Mechanics, Elsevier, 2018, ⟨10.1016/j.tafmec.2018.01.004⟩
- Publication Year :
- 2018
- Publisher :
- HAL CCSD, 2018.
-
Abstract
- This paper focuses on the theoretical and numerical development of the J-integral concept for three-dimensional problems. A new integral parameter, developed for the real three-dimensional case, computes the combined energy release rate for an arbitrary crack front. A path-independent integral is verified in both the static and crack propagation cases. Generalization of the J 3 D -integral toward its G θ 3 D implementation form is performed. The efficiency of this proposed integral is then compared with a number of J integrals available in the literature. Lastly, the paper offers a finite element implementation along with its numerical validation.
- Subjects :
- Generalization
02 engineering and technology
[SPI.MAT]Engineering Sciences [physics]/Materials
Planar
0203 mechanical engineering
General Materials Science
Numerical validation
Mathematics
Strain energy release rate
Invariant integral
[SPI.GCIV.CD]Engineering Sciences [physics]/Civil Engineering/Construction durable
Applied Mathematics
Mechanical Engineering
Mathematical analysis
Fracture mechanics
021001 nanoscience & nanotechnology
Condensed Matter Physics
Finite element method
Linear fracture mechanics
020303 mechanical engineering & transports
Three-dimensional problems
Development (differential geometry)
[SPI.GCIV.STRUCT]Engineering Sciences [physics]/Civil Engineering/Structures
Energy release rate
[SPI.GCIV.MAT]Engineering Sciences [physics]/Civil Engineering/Matériaux composites et construction
0210 nano-technology
Subjects
Details
- Language :
- English
- ISSN :
- 01678442
- Database :
- OpenAIRE
- Journal :
- Theoretical and Applied Fracture Mechanics, Theoretical and Applied Fracture Mechanics, 2018, ⟨10.1016/j.tafmec.2018.01.004⟩, Theoretical and Applied Fracture Mechanics, Elsevier, 2018, ⟨10.1016/j.tafmec.2018.01.004⟩
- Accession number :
- edsair.doi.dedup.....e3a6ad84716e2bba7f0e057b9a3c1ee7