Periodic crack problem for an FGM coated half plane

Download
2012
İnce, İsmet
An elastic FGM layer bonded to a semi-infinite linear elastic, isotropic, homogeneous half plane is considered. The half plane contains periodic cracks perpendicular to the interface. Mechanical loading is applied through crack surface pressure, resulting in a mode I crack problem. The plane elasticity problem described above is formulated by using Fourier transforms and Fourier series. A singular integral equation is obtained for the auxiliary variable, namely derivative of the crack surface displacement. Solution is obtained, and stress intensity factors are calculated for various values of crack period, crack length, crack location, layer thickness and material gradation.

Suggestions

Mixed-mode fracture analysis of orthotropic FGM coatings under mechanical and thermal loads
İlhan, Küçük Ayşe; Dağ, Serkan; Department of Mechanical Engineering (2007)
In this study, it is aimed to investigate the mixed-mode fracture behavior of orthotropic functionally graded material (FGM) coatings bonded to a homogeneous substrate through a homogeneous bond-coat. Analytical and computational methods are used to solve the embedded cracking problems under mechanical or thermal loading conditions. It is assumed that the material property gradation of the FGM coating is in the thickness direction and cracks are parallel to the boundaries. The principal axes of orthotropy a...
Thermal stress problem for an FGM strip containing periodic cracks
Köse, Ayşe; Kadıoğlu, Fevzi Suat; Department of Mechanical Engineering (2013)
In this study the plane linear elastic problem of a functionally graded layer which contains periodic cracks is considered. The main objective of this study is to determine the thermal stress intensity factors for edge cracks. In order to find an analytic solution, Young’s modulus and thermal conductivity are assumed to be varying exponentially across the thickness, whereas Poisson ratio and thermal diffusivity are taken as constant. First, one dimensional transient and steady state conduction problems are ...
Hybrid finite element for analysis of functionally graded beams
Sarıtaş, Afşin; Soydas, Ozan (2017-01-01)
A hybrid finite element model is presented, where stiffness and mass distributions over a beam with functionally graded material (FGM) are accurately modeled for both elastic and inelastic material responses. Von Mises and Drucker-Prager plasticity models are implemented for metallic and ceramic parts of FGM, respectively. Three-dimensional stress-strain relations are solved by a general closest point projection algorithm, and then condensed to the dimensions of the beam element. Numerical examples and veri...
Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach
Dağ, Serkan (2006-12-01)
A new computational method based on the equivalent domain integral (EDI) is developed for mode I fracture analysis of orthotropic functionally graded materials (FGMs) subjected to thermal stresses. By using the constitutive relations of plane orthotropic thermoelasticity, generalized definition of the J-integral is converted to an equivalent domain integral to calculate the thermal stress intensity factor. In the formulation of the EDI approach, all the required thermomechanical properties are assumed to ha...
Finite anti-plane shear of compressible hyperelastic tubes
Erarslanoğlu, G.; Ertepınar, A. (Elsevier BV, 1990-1)
Finite, anti-plane shear of a long, hyperelastic, compressible circular cylindrical tube is investigated using the theory of finite elasticity. The highly nonlinear, coupled, ordinary differential equations with variable coefficients governing the problem are solved numerically using the method of adjoints. The effect of the compressibility of the material is studied in several numerical examples.
Citation Formats
İ. İnce, “Periodic crack problem for an FGM coated half plane,” M.S. - Master of Science, Middle East Technical University, 2012.