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):

Report Date:

1973-02-15

Pagination or Media Count:

17.0

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

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE