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Phase field modeling of crack growth with double-well potential including surface effects
- Source :
- Continuum Mechanics and Thermodynamics. 32:913-925
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- A thermodynamically consistent phase field approach for fracture including surface stresses is presented. The surface stresses which are distributed inside a finite width layer at the crack surface are introduced as a result of employing some geometrical nonlinearities, i.e., by defining energy terms per unit volume at the current time and evaluating gradient of the order parameter in the current configuration. A double-well barrier term is included in the structure of the Helmholtz free energy which allows one to use the energy terms per unit volume at the current time when introducing the surface stresses in the current approach. Thus, the surface stresses are introduced in a similar way to the interfacial stresses in phase transformations. The differences in the modeling of crack growth with considering the surface stresses and without it are discussed. It is shown how the surface stresses affect the stress fields and consequently the crack nucleation and propagation. The finite element method is utilized to solve the coupled equations of mechanics and crack phase field. It is emphasized that the surface stresses affect the driving force for both the crack nucleation and propagation by disturbing the momentum balance. Thus, a different external loading is required in the presence of the surface stresses.
- Subjects :
- Surface (mathematics)
Materials science
Field (physics)
Nucleation
General Physics and Astronomy
Fracture mechanics
02 engineering and technology
Mechanics
01 natural sciences
Finite element method
010305 fluids & plasmas
Stress (mechanics)
Momentum
symbols.namesake
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Helmholtz free energy
0103 physical sciences
symbols
General Materials Science
Subjects
Details
- ISSN :
- 14320959 and 09351175
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Continuum Mechanics and Thermodynamics
- Accession number :
- edsair.doi...........0cc7ab24e8fb4cbd78ca884a1a1d642b