Non-linear Elastic DeformationsApplication of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. |
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applied arbitrary bifurcation Biot stress body forces boundary conditions boundary-value problem Cauchy elastic Cauchy stress coaxial components conjugate constitutive equation constitutive law constraint coordinate corresponding current configuration cylinder deduce defined deformation gradient denote differential discussion e₂ elastic material elastic solid equation equivalent Eulerian example follows given Grad Green elastic hence homogeneous incompressible material incremental independent inequality isochoric isotropic isotropic elastic line elements linear moduli motion nominal stress normal notation observer transformation obtain Ogden plane polar decomposition principal axes principal stretches proper orthogonal rectangular Cartesian reference configuration relative respectively restriction rotation satisfying scalar field second-order tensor Section simple shear solution strain tensor strain-energy function stress tensor stress-deformation relation surface symmetry group t₁ t₂ tensor field theorem theory traction Truesdell two-point tensor unconstrained materials uniqueness λ₁ λ₂ Ολι ай