A partially insulated interface crack between a graded orthotropic coating and a homogeneous orthotropic substrate under heat flux supply

In this paper, thermal response of an orthotropic functionally graded coating-substrate structure with a partially insulated interface crack under heat flux supply is considered. It is assumed that there exists thermal resistance to heat conduction through the crack region. The mixed boundary value problems are reduced to a system of singular integral equations and solved numerically. Higher order asymptotic terms for the singular integral kernels are considered to improve the accuracy and the convergence efficiency of the numerical integrals. Numerical results are presented to show the effects of the orthotropy parameters, thermo-elastic nonhomogeneity parameters, and dimensionless thermal resistance on the temperature distribution and the thermal stress intensity factors (SIFs).

[1]  Biao Wang,et al.  Investigation of the dynamic behavior of a finite crack in the functionally graded materials by use of the Schmidt method , 2004 .

[2]  F. Erdogan,et al.  The interface crack problem for a nonhomogeneous coating bonded to a homogeneous substrate , 1996 .

[3]  Xue-Rong Yao,et al.  Dynamic stress intensity factors of a semi-infinite crack in an orthotropic functionally graded material , 2008 .

[4]  F. Erdogan,et al.  Interface crack problems in graded orthotropic media: Analytical and computational approaches , 2004 .

[5]  J. Chen.  Determination of thermal stress intensity factors for an interface crack in a graded orthotropic coating-substrate structure , 2005 .

[6]  Jinxi Liu,et al.  Thermal fracture analysis of a functionally graded orthotropic strip with a crack , 2004 .

[7]  Murat Ozturk,et al.  The Mixed Mode Crack Problem in an Inhomogeneous Orthotropic Medium , 1999 .

[8]  X. Yao,et al.  Investigation of crack tip evolution in functionally graded materials using optical caustics , 2007 .

[9]  T. Jin,et al.  Collinear cracks in a layered half-plane with a graded nonhomogeneous interfacial zone – Part I: Mechanical response , 1998 .

[10]  Z. Zhuang,et al.  Investigation of dynamic fracture behavior in functionally graded materials , 2008 .

[11]  Xing Li,et al.  Transient Thermal Stress Analysis of Orthotropic Functionally Graded Materials with a Crack , 2007 .

[12]  Sami El-Borgi,et al.  A partially insulated embedded crack in an infinite functionally graded medium under thermo-mechanical loading , 2004 .

[13]  Y. Mai,et al.  Fracture Mechanics Analysis Model for Functionally Graded Materials with Arbitrarily Distributed Properties , 2002 .

[14]  Y. Tanigawa,et al.  Transient thermal stresses of orthotropic functionally graded thick strip due to nonuniform heat supply , 2005 .

[15]  Fazil Erdogan.  Fracture mechanics of functionally graded materials , 1995 .

[16]  D. Delfosse,et al.  Fundamentals of Functionally Graded Materials , 1998 .

[17]  F. Erdogan,et al.  The crack problem for a nonhomogeneous plane , 1983 .

[18]  H. Herman,et al.  Thermal Spray Processing of FGMs , 1995 .

[19]  Z. G. Zhang,et al.  Impact failure prediction of Mode III crack in orthotropic functionally graded strip , 2003 .

[20]  S. Dag.  Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach , 2006 .

[21]  Naotake Noda,et al.  Thermal stress intensity factors for a crack in a strip of a functionally gradient material , 1993 .

[22]  Licheng Guo,et al.  Fracture mechanics analysis of functionally graded layered structures with a crack crossing the interface , 2008 .

[23]  F. Erdogan,et al.  A Surface Crack in a Graded Medium Under General Loading Conditions , 2002 .

[24]  Glaucio H. Paulino,et al.  Transient thermal stress analysis of an edge crack in a functionally graded material , 2001 .

[25]  Glaucio H. Paulino,et al.  Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method , 2002 .

[26]  H. Choi.  Bonded dissimilar strips with a crack perpendicular to the functionally graded interface , 1996 .

[27]  Yuesheng Wang,et al.  The fracture analysis of a graded coating/substrate system of finite thickness with arbitrary spatial variations of coating properties: Plane deformation , 2005 .

[28]  Z.-H. Jin,et al.  Thermal fracture resistance of a functionally graded coating with periodic edge cracks , 2008 .

[29]  Zhengxing. Liu,et al.  Transient internal crack problem for a nonhomogeneous orthotropic strip (Mode I) , 2002 .

[30]  Zhengxing. Liu,et al.  Transient response of a mode III crack in an orthotropic functionally graded strip , 2004 .

[31]  F. Erdogan,et al.  Stress intensity factors for an interface crack between a functionally graded coating and a homogeneous substrate , 2003 .

[32]  Motohiro Uo,et al.  Biocompatibility of materials and development to functionally graded implant for bio-medical application , 2004 .

[33]  N. Noda.  THERMAL STRESSES INTENSITY FACTOR FOR FUNCTIONALLY GRADIENT PLATE WITH AN EDGE CRACK , 1997 .

[34]  F. Erdogan,et al.  Mode I Crack Problem in an Inhomogeneous Orthotropic Medium , 1997 .

[35]  Li Ma,et al.  Dynamic behavior of a finite crack in the functionally graded materials , 2005 .

[36]  Lin-zhi Wu,et al.  Thermal fracture model for a functionally graded plate with a crack normal to the surfaces and arbitrary thermomechanical properties , 2008 .

[37]  R. Batra,et al.  STRESS INTENSITY RELAXATION AT THE TIP OF AN EDGE CRACK IN A FUNCTIONALLY GRADED MATERIAL SUBJECTED TO A THERMAL SHOCK , 1996 .

[38]  Wolfgang A. Kaysser,et al.  FGM Research Activities in Europe , 1995 .

[39]  F. Erdogan,et al.  CRACK PROBLEMS IN FGM LAYERS UNDER THERMAL STRESSES , 1996 .