Accession Number : AD0265082

Title :   ON HIGHER RATES OF STRESS AND DEFORMATION

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : PRAGER,WILLIAM

Report Date : SEP 1961

Pagination or Media Count : 1

Abstract : A variety of definitions of stress rate have been proposed in the literature on mechanics of continua. Recent work by Prager (Quart. Appl. Math.; 18:403; 1960), Sedov (Prikl. Mat. Mekh.; 14:393; 1960), Naghdi and Wainwright (Quart. Appl. Math.; 19:95, 1961), and Masur (Quart. Appl. Math; 19;160, 1961), has shown that the oldest of these definitions, which is due to Jaumann (Grundlagen der Bewegungslehre der Leipzig, 1905), possesses certain advantages. In the present paper, this definition is extended to the higher rates of stress and deformation and compared to the definitions of these rates that were suggested by Cotter and Rivlin (Quart. Appl. Math.; 13:177, 1955). (Author)

Descriptors :   *DEFORMATION, *STRESSES, ACCELERATION, DYNAMICS, EQUATIONS, MATHEMATICAL ANALYSIS, MECHANICS, PARTICLES, THEORY, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE