Non-fourier thermal fracture analysis of a griffith interface crack in orthotropic functionally graded coating/substrate structure

• Published in: Applied Mathematical Modelling Vol. 104; pp. 548 - 566
• Main Authors: Yang, Wenzhi, Pourasghar, Amin, Chen, Zengtao
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.04.2022; Elsevier BV
• Subjects: Boundary conditions; Conduction heating; Conductive heat transfer; Dual-phase-lag theory; Fourier law; Fracture mechanics; Functionally gradient materials; High temperature; Integral transform; Integral transforms; Interface crack; Interfacial cracks; Mathematical analysis; Orthotropic functionally graded coating; Partial differential equations; Phase lag; Singular integral equation; Singular integral equations; Stress intensity factors; Substrates; Thermal barrier coatings; Thermal stress; Thermal stress intensity factor; Thickness; Transient heat conduction; Orthotropic functionally graded coating; Thermal stress intensity factor; Singular integral equation; Dual-phase-lag theory; Interface crack; Integral transform
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2021.12.006

•A partially insulated crack in FGM coating/substrate structure is analyzed by the dual-phase-lag theory.•Integral transform coupled with singular integral equations are utilized.•Parametric investigations are conducted to benefit the optimizing of these structures. Serving as thermal barrier coatings in the harsh environment, functionally graded materials are usually subject to the extremely high temperature gradient, under which circumstance the classical Fourier's law breaks down and the non-Fourier effect becomes pronounced. The configuration of an orthotropic functionally graded coating bonded to the homogenous substrate containing a Griffith interface crack is considered in this work. The dual-phase-lag heat conduction theory is adopted to analyze the transient heat conduction and the resulting thermal stress intensity factors of the coating/substrate structure. The governing partial differential equations subjected to the complex thermal/mechanical boundary conditions are solved by the integral transform coupled with singular integral equations. A good agreement is achieved between the transient thermal stress intensity factors in the present work and steady-state values from previous literature. The influence of the thermal lags, nonhomogeneous parameters, and the thicknesses of two layers on the thermomechanical responses are investigated.