Accession Number : AD0429286

Title :   ON THE POSTULATE OF STABILITY OF MATERIAL IN THE MECHANICS OF CONTINUA,

Corporate Author : BROWN UNIV PROVIDENCE R I

Personal Author(s) : Drucker,D. C.

Report Date : NOV 1963

Pagination or Media Count : 22

Abstract : The place of the postulates of stability in the small and stability in the large in the isothermal theory of mechanics of continua is described. Fully equivalent results are demonstrated for heterogeneous states of stress in a structure or any continuum, and for homogeneous states of stress either in homogeneous materials or in composite materials which are homogeneous on the macroscale. Examples are given to show that requiring too great a degree of stability leads to interesting but unacceptably strong restrictions on physical behavior. An effort is made to clarify statements of the postulate for reasonable application to time-independent and to time-dependent materials. Also, materials which exhibit changes of elastic moduli with plastic deformation and materials undergoing large strain are treated briefly. (Author)

Descriptors :   (*CONTINUUM MECHANICS, THEORY), ELASTIC PROPERTIES, STABILITY, STRESSES, STRUCTURES, ELASTIC SHELLS, TENSILE PROPERTIES, DEFORMATION, PLASTIC PROPERTIES, THERMODYNAMICS, STRUCTURAL PROPERTIES, MECHANICS, MATHEMATICAL ANALYSIS, MATERIALS

Distribution Statement : APPROVED FOR PUBLIC RELEASE