Thermal effect of plastic dissipation at the crack tip on the stress intensity factor under cyclic loading

Plastic dissipation at the crack tip under cyclic loading is responsible for the creation of an heterogeneous temperature field around the crack tip. A thermomechanical model is proposed in this paper for the theoretical problem of an infinite plate with a semi-infinite through crack under mode I cy...

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Bibliographic Details
Published in:Engineering fracture mechanics 2011-04, Vol.78 (6), p.961-972
Main Authors: Ranc, N., Palin-Luc, T., Paris, P.C.
Format: Article
Language:English
Subjects:
Analytical and numerical techniques
Cyclic loads
Dissipation factor
Engineering Sciences
Exact sciences and technology
Fatigue (materials)
Fracture mechanics
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Heat transfer
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical analysis
Mathematical models
Mechanical engineering
Mechanics
Physics
Plastic dissipation
Plastic zones
Reverse cyclic plastic zone
Solid mechanics
Static elasticity (thermoelasticity...)
Stress intensity factor
Stresses
Structural and continuum mechanics
Structural mechanics
Thermal stress
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Summary:Plastic dissipation at the crack tip under cyclic loading is responsible for the creation of an heterogeneous temperature field around the crack tip. A thermomechanical model is proposed in this paper for the theoretical problem of an infinite plate with a semi-infinite through crack under mode I cyclic loading both in plane stress or in plane strain condition. It is assumed that the heat source is located in the reverse cyclic plastic zone. The proposed analytical solution of the thermo-mechanical problem shows that the crack tip is under compression due to thermal stresses coming from the heterogeneous stress field around the crack tip. The effect of this stress field on the stress intensity factor (its maximum and its range) is calculated analytically for the infinite plate and by finite element analysis. The heat flux within the reverse cyclic plastic zone is the key parameter to quantify the effect of dissipation at the crack tip on the stress intensity factor.
ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2010.11.010