AN ARBITRARILY ORIENTED INCLUSION IN A HALF-SPACE SUBJECTED TO AN INCLINED SURFACE LOAD

1991-01-01
Doyum, Ahmet Bülent
GURSOY, A
The plane elastostatic problem for a half-space which contains an arbitrarily oriented flat inclusion is considered. The medium is loaded from its surface by an inclined concentrated force. It is assumed that the inclusion may be rigid or elastic with negligible bending rigidity. Fourier integral transforms are applied and the problem is formulated in terms of the unknown interface stresses using concentrated force solutions as Green's functions. The unknowns are then solved from a system of simultaneous singular integral equations. Stress intensity factors are presented for various inclusion and load geometries.
ENGINEERING FRACTURE MECHANICS

Suggestions

Plane strain analytical solutions for a functionally graded elastic-plastic pressurized tube
Eraslan, Ahmet Nedim (Elsevier BV, 2006-09-01)
Plane strain analytical solutions to functionally graded elastic and elastic-plastic pressurized tube problems are obtained in the framework of small deformation theory. The modulus of elasticity and the uniaxial yield limit of the tube material are assumed to vary radially according to two parametric parabolic forms. The analytical plastic model is based on Tresca's yield criterion, its associated flow rule and ideally plastic material behaviour. Elastic, partially plastic and fully plastic stress states a...
Periodic crack problem for a functionally graded half-plane an analytic solution
YILDIRIM, BORA; Kutlu, Ozge; Kadıoğlu, Fevzi Suat (Elsevier BV, 2011-10-15)
The plane elasticity problem of a functionally graded semi-infinite plane, containing periodic imbedded or edge cracks perpendicular to the free surface is considered. Cracks are subjected to mode one mechanical or thermal loadings, which are represented by crack surface tractions. Young's modulus, conduction coefficient, coefficient of thermal expansion are taken as exponentially varying functions of the depth coordinate where as Poisson ratio and thermal diffusivity are assumed to be constant. Fourier int...
ANALYSIS OF FRAMES WITH NONPRISMATIC MEMBERS
ELMEZAINI, N; BALKAYA, C; CITIPITIOGLU, E (American Society of Civil Engineers (ASCE), 1991-06-01)
The linear elastic behavior of frames with nonprismatic members is investigated by using isoparametric plane stress finite elements. It is determined that the conventional methods of analysis for these types of structures lead to erroneous results. Comparison of the fixed end moments, stiffness, and carry-over factors of nonprismatic members available in the literature with those computed by finite element analysis reveals large discrepancies. Based on an extensive study, sources and magnitudes of errors...
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 ...
MAGNETOHYDRODYNAMIC FLOW ON A HALF-PLANE
Tezer, Münevver (Wiley, 1988-07-01)
We investigate the magnetohydrodynamic flow (MHD) on the upper, half of a non‐conducting plane for the case when the flow is driven by the current produced by an electrode placed in the middle of the plane. The applied magnetic field is perpendicular to the plane, the flow is laminar, uniform, steady and incompressible. An analytical solution has been developed for the velocity field and the induced magnetic field by reducing the problem to the solution of a Fredholm's integral equation of the second kind, ...
Citation Formats
A. B. Doyum and A. GURSOY, “AN ARBITRARILY ORIENTED INCLUSION IN A HALF-SPACE SUBJECTED TO AN INCLINED SURFACE LOAD,” ENGINEERING FRACTURE MECHANICS, pp. 609–625, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57525.