Non-linear Elastic Deformations
This classic offers a meticulous account of the theory of finite elasticity. It covers the application of the theory to the solution of boundary-value problems, as well as the analysis of the mechanical properties of solid materials capable of large elastic deformations. Setting is purely isothermal. Problems. References. Appendixes.
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applied arbitrary axial basis vectors Biot stress body forces boundary conditions boundary-value problem Cauchy elastic Cauchy stress coaxial compression configuration conjugate constitutive law constraint contravariant coordinate corresponding covariant current conﬁguration cylinder deduce deﬁned deformation gradient denote differential discussion divergence theorem e-mode edition elastic moduli elastic solid equivalent Eulerian example ﬁrst ﬁxed follows given Grad hence homogeneous incompressible material incremental deformation independent inequality inverse isochoric isotropic isotropic materials line elements linear mathematical Mechanics moduli motion nominal stress normal notation Note obtain orthonormal orthonormal basis physical plane polar decomposition principal axes principal stretches proper orthogonal properties rectangular Cartesian reference conﬁguration relative respectively restriction rotation satisﬁed second-order tensor Section simple shear sinh solution speciﬁc strain tensor strain-energy function stress tensor stress-deformation relation strong ellipticity sufﬁcient surface symmetry group tensor ﬁeld theorem theory traction Truesdell two-point tensor unconstrained material uniqueness values