Accession Number:

AD0265082

Title:

ON HIGHER RATES OF STRESS AND DEFORMATION

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

• PRAGER,WILLIAM

Report Date:

1961-09-01

Pagination or Media Count:

1.0

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. 18403 1960, Sedov Prikl. Mat. Mekh. 14393 1960, Naghdi and Wainwright Quart. Appl. Math. 1995, 1961, and Masur Quart. Appl. Math 19160, 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. 13177, 1955. Author

Descriptors:

• *DEFORMATION
• *STRESSES
• ACCELERATION
• DYNAMICS
• EQUATIONS
• MATHEMATICAL ANALYSIS
• MECHANICS
• PARTICLES
• THEORY
• VELOCITY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE