The free-end interface crack problem for bonded orthotropic layers

1995-01-01
The plane elasticity problem of two bonded orthotropoic layers containing cracks perpendicular to and along the interface is considered. The cracks are extended to intersect the boundaries and each other in such a way that a crack configuration suitable to study the edge debonding problem associated with bonded dissimilar materials is obtained. The problem is reduced to the solution of a system of singular integral equations with Cauchy type singularities. Numerical results for stress intensity factors and energy release rates are presented for various loading conditions and for isotropic as well as orthotropic material pairs. These results indicate that elementary strength of material type calculations for energy release rates provide a very good approximation to the actual elasticity solution even for relatively short cracks under some practical loading conditions such as thermal loading, as long as the thicknesses of the layers are not very different.
International Journal of Engineering Science

Suggestions

T-shaped crack problem for bonded orthotropic layers
Erdogan, F.; Kadıoğlu, Fevzi Suat (1994-06-01)
The plane elasticity problem of two perfectly bonded orthotropic layers containing cracks perpendicular to and along the interface is considered. Cracks are extended to intersect the boundaries and each other in such a way that a crack configuration suitable to study the T-shaped crack problem is obtained. The problem is reduced to the solution of a system of singular integral equations with Cauchy type singularities. Numerical results for stress intensity factors and energy release rates are presented for ...
THE CRACK PROBLEM IN BONDED NONHOMOGENEOUS MATERIALS
ERDOGAN, F; KAYA, AC; JOSEPH, PF (ASME International, 1991-06-01)
In this paper the plane elasticity problem for two bonded half-planes containing a crack perpendicular to the interface is considered. The primary objective of the paper is to study the effect of very steep variations in the material properties near the diffusion plane on the singular behavior of the stresses and stress intensity factors. The two materials are, thus, assumed to have the shear moduli mu(0) and mu(0)exp(beta-x), x = 0 being the diffusion plane. Of particular interest is the examination of ...
Three dimensional analysis of periodic cracking in FGM coatings under thermal stresses
Dağ, Serkan; Erdogan, Fazil (2006-10-18)
A three dimensional finite element method is used to examine periodic surface cracking problem in a functionally graded coating subjected to transient thermal loads. The ceramic/metal FGM coating is assumed to contain periodic semi-elliptical cracks and to be perfectly bonded to a homogeneous substrate. The composite structure is subjected to transient residual/thermal stresses. Temperature and displacement fields are computed using a three dimensional finite element approach. Finite element models are crea...
The application of BEM to MHD flow and heat transfer in a rectangular duct with temperature dependent viscosity
Ebren Kaya, Elif; Tezer, Münevver ( EC LTD.; 2018-07-11)
The steady, laminar, fully developed MHD flow of an incompressible, electrically conducting fluid with temperature dependent viscosity is studied in a rectangular duct together with its heat transfer. Although the induced magnetic field is neglected due to the small Reynolds number, the Hall effect, viscous and Joule dissipations are taken into consideration. The momentum equation for the pipe-axis velocity and the energy equation are solved iteratively. Firstly, the momentum equation is solved by using the...
On the elastic-plastic deformation of a centrally heated cylinder exhibiting linear hardening
Gulgec, M; Orcan, Y (1999-01-01)
A closed-form solution of the elastic-plastic deformation of a cylinder with uniform temperature inside its cylindrical core and zero surface temperature is presented for a linearly strain hardening material. The analysis is based on Tresca's yield condition and its associated flow rule. The effect of hardening on the expansion of plastic regions and on the distribution of stress is displayed graphically.
Citation Formats
F. S. Kadıoğlu, “The free-end interface crack problem for bonded orthotropic layers,” International Journal of Engineering Science, pp. 1105–1120, 1995, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35223.