Accession Number : AD0758884

Title :   Mechanics and Thermomechanics.

Descriptive Note : Interim scientific rept. no. 2, 15 Feb 72-14 Feb 73,

Corporate Author : BIOT (MAURICE A) BRUSSELS (BELGIUM)

Personal Author(s) : Biot,Maurice A.

Report Date : 15 FEB 1973

Pagination or Media Count : 17

Abstract : Two subjects were developed. Part I provides further development of the nonlinear mechanics of fluid-saturated porous solids. The analysis is carried out in the context of the cartesian definition of finite strain with special emphasis on the semi-linear properties of a large category of realistic porous solids. Drastic simplifications are thus introduced in the physical description and in the analysis. A variational approach and corresponding Lagrangian equations are also developed in the context of semi-linearity. Part II deals with the non-linear theory of thermoelasticity on the basis of irreversible thermodynamics, and a cartesian definition which are applicable to non-linear thermal stress-analyses and post-buckling behavior. The theory puts the thermodynamics of elastic stability in a new light and provides the foundation for a large variety of finite element methods. The concept of finite cartesian strain is also given further extension. (Author)

Descriptors :   (*POROUS MATERIALS, MECHANICAL PROPERTIES), (*ELASTIC PROPERTIES, THERMODYNAMICS), STRESSES, STRAIN(MECHANICS), VISCOELASTICITY, RHEOLOGY, DEFORMATION, BUCKLING, MATHEMATICAL ANALYSIS, BELGIUM

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE