Abstract
A constitutive theory of memory-dependent microelastic solids and microviscous fluids is developed. Nonlinear constitutive functionals are considered to depend on the continuous past history of macro and micro-deformation gradients, temperature and the temperature gradients. By use of the second law of thermodynamics and the principle of fading memory a set of exact functional constitutive equations are derived. The linear theory is presented in full for memory-dependent anisotropic and isotropic microelastic solids and microfluids.
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