Accession Number : ADA331186

Title :   Transactions of the Twenty-Second Conference of Army Mathematicians, Held in Watervliet Arsenal, New York on 12-14 May 1976.

Descriptive Note : Interim rept.,

Corporate Author : ARMY MATHEMATICS STEERING COMMITTEE

PDF Url : ADA331186

Report Date : FEB 1977

Pagination or Media Count : 607

Abstract : This is a technical report resulting from the Twenty-second Conference of Army Mathematicians. It contains most of the papers on the agenda of this meeting. These treat various Army applied mathematical problems. On a continuing basis, the Army Mathematics Steering Committee (AMSC) sponsors three annual conferences. These meetings, in the areas of applied mathematics, numerical analysis and statistics, are designed to promote better communications among Army scientists. The oldest member of this series, the Conference of Army Mathematicians, held its twenty-second meeting at the Benet Weapons Laboratories, US Army Watervliet Arsenal, Watervliet, New York, on 13-14 May 1976. Dr. Moayyed A. Hussain, the Chairman on Local Arrangements, took this assignment seriously, and he, together with other members at Watervliet Arsenal, are due the thanks of all the attendees for an exceptionally well-planned meeting. Field equations of nonlocal elasticity are solved to determine the state of stress in the neighborhood of a line crack in an elastic plate subject to uniform tension perpendicular to the line of crack at infinity. It is found that no stress singularity is present at the crack tip. Then the maximum hoop stress is equated to the cohesive stress Griffith criterion of fracture is obtained with the Griffith constant fully determined. Cohesive stress necessary to break the atomic bonds are calculated for A, Ni, Fe, LiF, Diamond and Zn. The results are in excellent agreement with those known in the atomic theory of lattices and experiments.

Descriptors :   *SYMPOSIA, *MATHEMATICAL ANALYSIS, *MATHEMATICS, LINEAR SYSTEMS, MATRICES(MATHEMATICS), APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL GEOMETRY.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE