Papers by Keyword: Stress Function

Abstract: The objective of this study is to give an analytical solution for the Saint-Venant torsion of bars having cross section bounded by two hyperbola arcs. The solution of the problem is based on the theory of uniform torsion which was developed by Saint-Venant and Prandtl. The material of the bar is homogeneous, isotropic and linearly elastic.

Abstract: The problem of calculating a cyclically symmetric design for the nodal radial load action is being solved in the article. The analysis of the stress-strain state of a circular ring plate subjected to the action of a regular distributed load along the outer contour is made. A comparison of the operation of the framed structure and its continuous analogue is performed. The thickness of an isotropic ring plate, which is equivalent in the static ratio of a planar framed structure of a regular construction is determined.

Abstract: Ontology similarity calculation and ontology mapping are crucial research topics in information retrieval. Ontology, as a concept structure model, is also widely used in biology, physics, geography and social sciences. In this paper, we propose new algorithms for ontology similarity measurement and ontology mapping using supervised multidimensional scaling and multi-dividing technologies. Two experimental results show that the proposed new algorithm has high accuracy and efficiency on ontology similarity calculation and ontology mapping in certain applications.

Abstract: The paper presents a methodology to obtain the stress solution of a simply supported beam subjected to arbitrary load with the help of, elasticity based, Fourier series approach. The applied load spectrum is converted into Fourier series with constant, sine and cosine components for which the solutions are available. The individual solutions are superimposed to obtain the final result. Deviations are noticed on comparing the results with those obtained from the conventional strength of material approach.

Abstract: In accordance with equilibrium differential equations and compatibility conditions of deformation, the partial differential equation of induced stress is achieved for elastic surrounding rocks of tunnels and chambers of round section. By method of the superposition principle, elastic analytical solutions of induced stress of surrounding rocks is derived from the partial differential equation, which is based on stress functions and boundary conditions.

Abstract: In this paper the problem of a density-functionally gradient beam subjected to uniform load is studied. Airy stress function methodology is used to obtain a set of analytical solutions for simply supported and clamped beams subjected to uniform load. A stress function in the form of polynomial is proposed and determined. The treatment for fixed-end boundary conditions is the same as that presented by Timoshenko and Goodier (1970). By this method all of the analytical plane-stress solutions can be obtained for a uniformly loaded isotropic beam with rectangular cross section under different types of classical boundary conditions.

Abstract: Coiled tubing (CT) injector head is a key part of CT unit. Friction between gripper blocks and CT offers axial force that runs and retrieves the CT into or out of the wellbore. The CT held by the gripper blocks is loaded by axial force, pressure of inner fluid and gripping force, and is in a complex forcing state. Here it was assumed that all stresses were invariable longitudinally and could be simplified as problem of plane strain. The gripping force acted on the outer surface of CT was set as sinusoidal function along circumference. Stress function was employed to deduce the stress state of CT in gripper blocks. The effects of gripping force, inner pressure and axial force on CT strength were studied, and yield limit curves of the CT were presented by Mises yield criterion. These results offer referring data for minimizes the risk of scarring or mashing the CT.

Abstract: A simplified approach for calculating the stress field of the fiber-reinforced composites is developed to improve the work of Theocaris et al. (1985) in this paper. This approach considers that the main factor affecting the stress field of composites is the existence of interphase between fiber and matrix, which possesses different Young’s modulus than those of the constituent phase. A parabolic law is adopted for the variation of Young’s modulus of graded interphase, versus the polar radius from fiber to matrix, while the Poisson’s ratio of the interphase is assumed as constant. Space axisymmetric model is applied to the Representative Volume Element (RVE) of the fiber-reinforced composites to evaluate stress field of the composites. Also, the effective longitudinal modulus of the fiber-reinforced composite can be obtained.