Accession Number:

AD0270211

Title:

ON THE UNIQUENESS PROBLEM IN THE SECOND BOUNDARY VALUE PROBLEM IN ELASTICITY

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s):

• BRAMBLE,J.H.
• PAYNE,L.E.

Report Date:

1961-12-01

Pagination or Media Count:

1.0

Abstract:

Kirchhoffs uniqueness proof shows that, if the shear modulus is different from zero and Poissons ratio T lies in the interval -1, 12, 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-K21 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE