Papers by Keyword: Elastic-Plastic Problem

Abstract: The article deals with the elastic-plastic state of inhomogeneous array with a spherical cavity. Model is used thick-walled ball of an elastic-perfectly plastic material (Prandtl diagram). It is shown that in the inhomogeneous material, depending on the inhomogeneity functions describing the change of the modulus of elasticity and yield stress of soil plastic deformation may appear on both the inner and outer surface of the ball and inside it. Are found values of the limit loads, displacement diagrams are constructed in an array.

Abstract: The paper presents the solution of elastic-plastic problem of the equilibrium of a thick-walled cylindrical shell under the influence of internal and external pressures. We consider a perfectly plastic material, elastic modulus and yield strength which are continuous functions of the radius. It is shown that plastic deformations may occur on both the inner surface of the shell and the inside of its wall. Defined stresses and strains in the elastic and plastic zones, as well the displacements in the shell until fracture.

Abstract: An application of the elastic-plastic problem by the photoelastic coating method is presented in this paper. A general procedure of this experiment, such as image processing and separation of the difference of principal strain to obtaine stresses from isochromatic fringes is referred. The methodology to extract centre lines of coloured isochromatic fringes is explained. Experiments are conducted with cross-shaped aluminum specimens with a circular hole subjected to uniaxial tension and equi-biaxial tension. Results of image processing are shown, and the distribution of difference of principal strains and separated principal strain are shown in the case of equi-biaxial tension.