Mechanics and Thermomechanics.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 15, 1973
- Accession Number
- AD0758884
Entities
People
- Maurice A. Biot