Accession Number : ADA323891
Title : The Effects on Stress Singularities of Introducing Cohesive Stress-Separation Laws as Boundary Conditions for Elastic Plates in Extension.
Descriptive Note : Interim rept. 1 Aug-29 Sep 95,
Corporate Author : SYSTRAN CORP DAYTON OH
Personal Author(s) : Sinclair, Glenn B.
PDF Url : ADA323891
Report Date : DEC 1995
Pagination or Media Count : 48
Abstract : The nature of the stress field occurring at the vertex of an angular elastic plate in extension is reconsidered. An additional boundary condition is introduced. This boundary condition reflects the action of cohesive stress-separation laws. Companion asymptotic analysis follows the well-known approach of introducing separable forms for the Airy stress function in polar coordinates, then solving the associated eigenvalue problem. Now, though, eigenfunctions typically occur as power series in the radial coordinate, rather than as closed form functions of this variable. The end result of the analysis is a reduction in the number of angular plate configurations which can promote singular stresses. This elimination of singular behavior is demonstrated for a crack and a sharp reentrant corner under transverse tension, and for an epoxy-steel butt joint and a three phase junction in a titanium aluminide microstructure. All of these examples have singular stress fields when treated with classical boundary conditions: none of them do when appropriate cohesive stress-separation laws are introduced.
Descriptors : *STRESSES, *BONDED JOINTS, MICROSTRUCTURE, CRACKING(FRACTURING), EIGENVECTORS, EIGENVALUES, PLATES, CONFIGURATIONS, BOUNDARY VALUE PROBLEMS, COORDINATES, ASYMPTOTIC SERIES, TITANIUM ALUMINIDE, POWER SERIES, TRANSVERSE.
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE