Abstract
The purpose of these notes is to show that symmetry, in particular translational symmetry, is the base on which two notions in the theory of elasticity, associated with deformable bodies in ℝn, namely constitutive laws and a certain class of force densities, are in a one to one correspondence. This correspondence is given by a Neumann problem converting force densities into constitutive maps which in turn characterize constitutive laws.
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Binz, E. (1991). Symmetry, Constitutive Laws of Bounded Smoothly Deformable Media and Neumann Problems. In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_3
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