Mechanics and Thermomechanics.
Interim scientific rept. no. 2, 15 Feb 72-14 Feb 73,
BIOT (MAURICE A) BRUSSELS (BELGIUM)
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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