On the General Theory of Steklov - Aging Materials
UTAH UNIV SALT LAKE CITY COLL OF ENGINEERING
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A broad class of materials possessing both instantaneous nonlinear elasticity and dissipation in addition to fading memory with aging effects is described. The measure of the generalized input function, which is a multiplet in terms of the deformation gradient, the temperature, the gradient of the temperature, as well as various chemical affinities, is given a semi-norm over a Banach Space. The semi-norm includes a summand which is a modification of the Steklov Average to P - integrable Lebesgue functions. It is assumed that the generalized response is a nonlinear function of the present input and a material property-history kernel determined by a Steklov-Lebesgue norm. Examples applied to solid propellant are given.
- Solid Rocket Propellants