Coupled hygro-thermo-viscoelastic fracture theory |
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Authors: | Xiaohong Chen |
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Affiliation: | (1) Sikorsky Aircraft Corporation, 6900 Main Street, Stratford, CT 06614, USA |
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Abstract: | A coupled hygro-thermo-viscoelastic fracture theory is developed for quasi-static and dynamic crack propagation in viscoelastic
materials subject to combined mechanical loading and hygrothermal environmental exposure based on fundamental principles of
thermodynamics. The Helmholtz free energy is taken to be a functional of the histories of strain, temperature and fluid concentration
with the crack parameter being introduced as an internal state variable. A thermodynamically consistent time-dependent fracture
criterion for crack propagation in the presence of thermally and mechanically assisted fluid transport is obtained from the
global energy balance equation and the requirement of non-negativity of the global energy dissipation rate, which is generally
applicable to both quasi-static and dynamic loading and both isothermal/isohumidity and non-isothermal/non-isohumidity conditions
with classic fracture criteria as special cases. On the basis of the developed theory, the generalized energy release rate
method, the generalized contour integral method and the extended essential work of fracture method are proposed for fracture
characterization of load-carrying viscoelastic materials in hygrothermal environments, and the interrelation of these methods
and their correlation with conventional methods and existing models, simulations and experiments are discussed. |
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Keywords: | Coupled hygro-thermo-viscoelastic fracture theory Thermodynamically consistent time-dependent fracture criterion Fluid diffusion Crack propagation Internal state variable Generalized energy release rate |
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