
Accession Number : AD0270211
Title : ON THE UNIQUENESS PROBLEM IN THE SECOND BOUNDARY VALUE PROBLEM IN ELASTICITY
Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
Personal Author(s) : BRAMBLE,J.H. ; PAYNE,L.E.
Report Date : DEC 1961
Pagination or Media Count : 1
Abstract : Kirchhoff's uniqueness proof shows that, if the shear modulus is different from zero and Poisson's ratio T lies in the interval (1, 1/2), the second boundary value problem in elasticity (surface tractions prescribed) has a unique solution (up to a rigid body motion). A demonstration is given that for general domains uniqueness holds provided T lies in the interval (1, 1K/2(1 + K)), where K is a constant depending on the geometry of the region. If the bounding surface is star shaped, K is equal to zero. (Author)
Descriptors : *ELASTIC PROPERTIES, MATHEMATICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, VECTOR ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE