Mathematical Foundations of ElasticityPrentice-Hall, 1983 - 556 páginas Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It & presents a & classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition. |
Índice
Elastic Materials | 8 |
Constitutive Inequalities | 16 |
GEOMETRY AND KINEMATICS OF BODIES | 25 |
Página de créditos | |
Otras 9 secciones no se muestran.
Otras ediciones - Ver todo
Mathematical Foundations of Elasticity Jerrold E. Marsden,Thomas J. R. Hughes Vista previa restringida - 2012 |
Mathematical Foundations of Elasticity Jerrold E. Marsden,Thomas J. R. Hughes Vista previa restringida - 1994 |
Mathematical Foundations of Elasticity Jerrold E. Marsden,Thomas J. R. Hughes Vista de fragmentos - 1994 |
Términos y frases comunes
analysis assume balance of energy Banach space basic bifurcation bifurcation theory boundary conditions bundle CABCD Cauchy chain rule Chapter classical components configuration continuum mechanics coordinate system covariant derivative curve defined Definition Let deformation denoted differential displacement dynamics eigenvalues elasticity tensor elastodynamics elastostatics equations equivalent example Figure Gårding's inequality given global Hamiltonian Hilbert space hyperelastic identity inequality inner product isotropic Lagrangian Lemma Lie derivative linear manifold Marsden material Math matrix Mech metric motion one-form open set operator orthogonal Piola-Kirchhoff stress Piola-Kirchhoff stress tensor PRef Problem Proof Proposition Let Riemannian rotation satisfies semigroup skew slicing smooth solutions spatial stability stress tensor strong ellipticity symmetry symplectic tangent theory tion traction transformation two-point tensor unique v₁ vector field velocity W₁ zero дха