Physical Components of Tensors

Finite-Dimensional Vector Spaces. Vector and Tensor Algebras. Tensor Calculus. Physical and Anholonomic Components of Tensors. Deformation of Continuous Media. Bibliography. Index.

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C1 C2 C3;Finite-dimensional vector spaces;Stress Energy Tensor;Subspaces;Covariant Derivative;Contravariant components;Christoffel Symbols;Covariant components;Tensor Product;Vector Algebra;Vector Space;Tensor Algebra;Sinx2 Cosx3;Tensor Calculus;Displacement Vector;Tensor fields;Reference Configuration;Gradient of a field;Ab Cde;Riemann-Christoffel tensor;Finite Dimensional Vector Spaces;Integral theorems for scalar and vector fields;Deformed Configuration;Physical and anholonomic components of vectors;Covariant Tensors;Physical and anholomic components of tensors;Tensor Components;Anholonomic connections;Physical Components;Deformation of continuous media;Rectangular Cartesian System;Stress tensor and equations of motion;Bilinear Functional;Strain-displacement relations for elastic bodies;Undeformed Middle Surface;Characterization of thin shells;Linearly Independent;Strain-displacement relations for shells;Piola Kirchhoff Stress Tensor;Kinematic relations for shells;Tensor Field;Linearized kinematics;Energy Density;Equations of motion for shells;Scalar Triple Product;Linearized equations of motion;Middle Surface;Constitutive equations for thermoelastic shells;Vector Field;Linear constitutive equations