An extended thermal-medium crack model

Zhong, Xian-Ci; Long, Xiao-Yu; Zhang, Lihua

doi:10.1016/j.apm.2017.11.016

Cited by 10 publications

(8 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It reveals that the positive parameter e c can enhance the heat insulation coefficient and the negative parameter can impede the heat insulation coefficient for a fixed a=h. The observation is in agreement with the finding in [30] for an infinite orthotropic material weakened by a thermal-medium penny-shaped crack.…”

Section: Partial Insulation Coefficientsupporting

confidence: 92%

“…Here we introduce the factor q c and obtain the explicit solutions by solving the resulted integral equation. Moreover, it should be pointed out that when solving (35), the unknown q c is assumed to be a constant [25,[28][29][30]. This means that q c is dependent on the material constants, the thermal and mechanical loadings, the geometry of the cracked orthotopic strip.…”

Section: Temperature Fieldmentioning

confidence: 99%

“…It should be noted that the main novelty of the present study is the introduction of the unknown q c as compared with the existing results [14,46,47]. Following the idea in [29] and [30], we still define the ratio of h = q c =q 0 as the partial insulation coefficient shown in (88).…”

Section: Partial Insulation Coefficientmentioning

confidence: 99%

“…The observations reveal that applied mechanical loadings have major effects on the thermal stress intensity factors according to the nonlinearly partially insulated crack model in (1) [28,29]. Recently, the thermal-medium crack model was further extended as [30]…”

Section: Introductionmentioning

confidence: 99%

“…Obviously, of more importance is to address the thermoelastic problems of an orthotropic strip with a crack. On the other hand, the thermal stress intensity factor is always addressed in the literature [14,21,29,30]. However, in order to capture the crack-tip fields, it is insufficient to only consider the thermal stress intensity factor under a combination of thermal and mechanical loading.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Thermoelastic analysis of a cracked orthotropic strip under heat conduction effect of crack interior

Zhong

Wu²,

Liao

2019

Mathematics and Mechanics of Solids

Self Cite

View full text Add to dashboard Cite

The problem of a Griffith crack embedded in an orthotropic strip is investigated under a combination of thermal and mechanical loadings. The extended thermal-medium crack model is used to address the effects of thermal conductivity of crack interior on the fracture parameters of concerns. Using the Fourier transform technique, the boundary-value problem is reduced to solving singular integral equations with Cauchy kernel. The closed-form solutions of temperature fields are determined. In solving the elastic fields, the Lobatto–Chebyshev integration formula is applied to discretize the obtained singular integral equations as a system of algebraic equations, which is solved by elaborating an algorithm. Numerical results are reported to illustrate the effects of the thermal conductivity inside crack and the thickness of orthotropic strip on the partial insulation coefficient, the thermal stress intensity factor, and the strain energy density factor. The crack initiation behavior is analyzed according to the normalized strain energy density factor. The observations reveal that the crack-tip thermoelastic fields in an orthotropic strip are dependent on the combined effects of the thermoelastic loadings, the physical and geometrical properties of the material and crack. Some comparisons with the existing works are offered to show the novelty and applicability of the obtained results.

show abstract

Section: Partial Insulation Coefficientsupporting

confidence: 92%