Stress concentration

About: Stress concentration is a research topic. Over the lifetime, 23250 publications have been published within this topic receiving 422911 citations.

Stress and strain concentration at a circular hole in an infinite plate

Abstract: The theory of elasticity shows that the maximum stress at a circular hole in an infinite plate in tension is three times the applied stress when the material remains elastic The effect of plasticity of the material is to lower this ratio This paper considers the theoretical problem of the stress distribution in an infinitely large sheet with a circular hole for the general case where the material may have any stress-strain curve The plate is assumed to be under uniform tension at a large distance from the hole The material is taken to be isotropic and incompressible (author)

Three-dimensional anisotropic and inhomogeneous elastic media matrix analysis for small and large displacements

Abstract: The analysis of uniaxial and membrane systems has been considerably advanced by the conception of the matrix displacement method in conjunction with a kinematic idealization of the system [5]. Indeed, it is now possible to determine the overall stress and deformation pattern of arbitrary membrane structures by idealizing them into an assembly of finite elements of triangular form [1, 2], The success of this theory leads us to expect that the analysis of three-dimensional deformable bodies of arbitrary shape may be equally successful, if we represent them by an assembly of tetrahedra. Following the two-dimensional procedure, we may select a suitable net of vertices or nodal points, the closeness of which may be adjusted at will to the expected stress gradients and the geometry of the boundary. It is, of course, true that the method cannot yield directly the finest details of the stress distribution as they may arise, for example, at internal cavities or inclusions and sharp changes of the surface geometry. This is, in fact, implied by our assertion that we seek the overall distribution of stress and deformation. However, we should also remember our statement, that by their very nature the tetrahedra lend themselves ideally to any desired degree of fineness of the net of nodal points. As a matter of fact, in our experience this procedure reproduces, in combination with an interpolation technique, to a remarkable degree of accuracy, say within 5%, the detailed stress pattern and even the finite stress concentrations at the boundaries of holes or inclusions [11]. It is naturally equally feasible, as we pointed out on a number of occasions, to apply, subsequent to a finite element approach, locally an analytical technique in order to establish a solution closely approximating the exact stress distribution. We currently consider the former procedure, exclusively based on discrete elements and where necessary refined with a more detailed network, as the most advantageous. It goes without saying that the proposed idealization of a continuum requires a digital computer of considerable capacity, but these machines, like the ATLAS, UNIVAC 1107, etc. are now in operation.