Field of Stresses in an Isotropic Plane with Circular Inclusion under Tensile Stress
نویسنده
چکیده
Within the framework of the linear theory of elasticity, the analytical equations for the components of the stress tensor for а plane with а circular inclusion under tensile loading have been derived using the method of superposition. The given approach allows one to describe the plane-stress state of the plane both for the case of rigid and "soft" inclusions. The obtained solutions have been compared with а solution, obtained bу the well-known method of selection of the stress function, performed bу А. V. Mal [1] for the solution of the identical problem. The results of comparison reveal very good quantitative and qualitative agreement that proves the validity of the given approach.
منابع مشابه
Magneto-Thermo-Elastic Stresses and Perturbation of Magnetic Field Vector in a Thin Functionally Graded Rotating Disk
In this paper, a semi-analytical solution for magneto-thermo-elastic problem in an axisymmetric functionally graded (FG) hollow rotating disk with constant thickness placed in uniform magnetic and thermal fields with heat convection from disk’s surfaces is presented. Solution for stresses and perturbation of magnetic field vector in a thin FG rotating disk is determined using infinitesimal theo...
متن کاملOn Analytic Solutions of Elastic Net Displacements around a Circular Tunnel
Displacements around a tunnel, occurring as a result of excavation, consist of the elastic and plastic parts. In this paper, we discuss the elastic part of displacements as a result of excavation, called net displacement. In general, the previous analytical solutions presented for determining the displacements around a circular tunnel in an elastic medium do not give the net displacements...
متن کاملBuckling Analysis of Simply-supported Functionally Graded Rectangular Plates under Non-uniform In-plane Compressive Loading
In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of a FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition fourier solution f...
متن کاملSTRESS INTENSITY FACTORS FOR AN INTERIOR GRIFFITH CRACK OPENED BY HEATED WEDGE IN A STRIP WHOSE EDGES ARE NORMAL TO CRACK AXIS
After second world war, we have seen a very rapid development of Thermoelasticity stimulated by various engineering sciences. As we know, structures behave in different fashion under climate variation and the most responsible factor for these variations is heat which falls through and causes deformation of the body. A considerable progress in the field of aircraft and machine structures, mainly...
متن کاملFinite Plate with Circular and Square Hole under Partial Loading
In this paper a general analytical solution is obtained to find stress distribution in a finite elastic plate with a circular or square hole subjected to arbitrary biaxial partial loading using modified boundary condition by assuming plane stress conditions. The method employed is based on solution of circular hole in finite rectangular plate. This plate is mapped to circular ones and the parti...
متن کامل