FURTHER STUDY OF THERMAL STRESSES IN VISCOELASTIC MATERIALS WITH TEMPERATURE-DEPENDENT PROPERTIES
Abstract
The implications of thermo-rheologically simple behavior in the context of the quasi-static linear theory of viscoelastic solids are discussed. Included are: (1) a resume of the appropriate governing field equations, boundary conditions, and initial conditions for 3-dimensionalls, Materials, Elasticity, Viscosity, Stresses, Temperature, Mechanical properties, Theory.) Solid state physics, Mathematical analysis, Differential equations, Integral equations. The implications of thermo-rheologically simple behavior in the context of the quasi-static linear theory of viscoelastic solids are discussed. Included are: (1) a resume of the appropriate governing field equations, boundary conditions, and initial conditions for 3-dimensional problems; (2) discussion of the analogous 2-dimensional theory and the connection between the plane-strain and the generalized plane-stress solutions associated with one and the same plane problem; (3) generalizations of certain theorems of ordinary thermoelasticity theory, including results concerning temperature fields that fail to cause thermal stresses; and (4) the particular problem of a spherical shell of arbitrary thickness. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1961
- Accession Number
- AD0265842
Entities
People
- Eli Sternberg
- M.e. Gurtin
Organizations
- Brown University