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, 1-K/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