Applied Mechanics Reviews · 2001 · 50 citations · 0 references
EngineeringGeometryMechanical EngineeringRiemannian ManifoldComputational MechanicsContinuum MechanicMathematical Fundamentals.- 2MechanicsDeformation ModelingMaterial NonlinearitiesNonlinear ElasticityGeometric Partial Differential EquationPhysicsDeformation.- 3Solid MechanicsTensor ComponentsNonlinear Continuum MechanicsRiemannian GeometryApplied PhysicsContinuum ModelingMechanics Of Materials
1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.