About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 110. Chapters: Tensor, Angular velocity, Stress-energy tensor, Moment of inertia, Application of tensor theory in engineering, Characteristic polynomial, Bivector, Finite strain theory, Diffusion MRI, Metric tensor, Deformation, Covariance and contravariance of vectors, Structure tensor, Einstein notation, Levi-Civita symbol, Covariant transformation, Pullback, Tensor contraction, Multilinear subspace learning, Electromagnetic tensor, Stress-energy-momentum pseudotensor, Scalar-tensor theory, Reynolds stress, Maxwell stress tensor, Dyadics, Trace diagram, Calculus of moving surfaces, Multivector, Glossary of tensor theory, Saint-Venant's compatibility condition, Electromagnetic stress-energy tensor, Veronese surface, Symmetric tensor, Dyadic tensor, Abstract index notation, Penrose graphical notation, Recurrent tensor, Tidal tensor, Tensor software, Gyration tensor, Schur-Weyl duality, Voigt notation, Tensor density, Two-point tensor, Raising and lowering indices, Invariants of tensors, Axiality and rhombicity, List of moment of inertia tensors, Mixed tensor, Cotton tensor, Dyadic product, Stewart-Walker lemma, Spin tensor, Kulkarni-Nomizu product, SHEEP, Antisymmetric tensor, Fractional anisotropy, Two-vector, Jordan and Einstein frames, Lanczos tensor, Holor, Tensor-hom adjunction, Lisp Algebraic Manipulator, Segre classification, Contorsion tensor, Tensor product of quadratic forms, Bach tensor, Schouten tensor, Matricization, Laguerre form. Excerpt: In continuum mechanics, stress is a measure of the internal forces acting within a deformable body. Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied on the body. Because the loaded deformable body is assumed to behave as a continuum, these in...
