The Mechanics of Materials with Permanent Memory. Part I.
UTAH UNIV SALT LAKE CITY DEPT OF CIVIL ENGINEERING
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The report deals with the stress constitutive problem for a class of materials typified by highly filled propellants. These materials exhibit both permanent and fading memory effects. The permanent memory effect is due to damage or microstructural weakening. A particular deformation history causes a certain damage. The stress response depends on this state of damage together with the deformation history itself. Introducing the idea of a damage functional, the stress response functional is assumed to depend on the history of that functional in addition to the deformation history itself. A topological structure is then built in which the stress response functional can be assumed continuous and differentiable. A Taylor series type expansion of the stress response functional is taken about the rest deformation and damage history. The topological structure leads to a Hilbert space in which a representation for the first order approximation is obtained. Modified author abstract
- Solid Rocket Propellants