Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading

Abstract

An asymptotic algorithm is applied to the problem of a finite, thermo-elastic solid containing a surface breaking crack, when the exterior surface is subjected to oscillatory thermal loading. This algorithm involves the study of a model problem. An analytical and numerical study of this model problem of a thermo-elastic half space containing a surface breaking crack and subjected to oscillatory thermal loading is presented. The crack surface is traction free. In particular, the amplitude of the stress intensity factor at the crack vertex is found as a function of the crack depth and the frequency of thermal oscillation.

Singular perturbation analysis of dynamic fields in a thermoelastic solid with a small surface-breaking crack

“…Secondly, when the surface thermal load has a higher frequency of cycling without necessarily sharp shocks, solid components may fail due to a thermal fatiguing process. This situation has been described in many references, collected together in Movchan and Jones [1]. However, the approach used in these references has neglected the contribution of the inertia term in the equations of motion.…”

“…With regard to Fig. 9, it has been found in Movchan and Jones [1] that the maximum of the absolute values of the SIF over a period decrease with increasing depth beyond a certain crack depth. The inclusion of the inertia term here results in an increasing SIF with crack depth beyond the boundary layer as seen in Fig.…”

“…Considerable work has been done on thermal fatigue and recent work [1] contains a number of references to this. In Movchan and Jones [1], a static thermoelasticity problem with a small surface-breaking crack was considered.…”

“…In Movchan and Jones [1], a static thermoelasticity problem with a small surface-breaking crack was considered. The current paper presents a continuation of this work to the dynamic thermoelasticity problem where the inertia term in the equation of motion is taken into account.…”

An analytical solution for the elastic fields near spheroidal nano-inclusions

“…volume, the effect of surface/interface energy has been considered as one of major factors to the exceptional behaviors at nanoscale [2][3][4][5][6].…”