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VECTORS AND MATRICES
The matrix element of arc and the element of area in the plane
The canonical form of a linear operator
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3X1 matrix a-axis applied force area dSx c-axis Cartesian reference frame coefficients column vector compatibility relations complex number compression cylinder deformable medium denote derivatives diagonal elements diagonal matrix differential elastically insensitive element of area elements of ij energy of deformation equivalently Exercise experimentally final rectangular Cartesian follows force per unit formula given rotation Hence Hint hydrostatic pressure independent variables infinitesimal theory initial rectangular Cartesian initial stress isotropic Jacobian matrix linear combination linear function linear theory linear vector operator magnitude mathematical matrix element medium is elastically medium possesses multiplication non-singular obtain Paperbound polar coordinates portion Vx principal axes R*TR R*vR rectangular Cartesian reference respect rotation matrix row vector second-order approximation second-order elastic constants shear Show simple shear square matrix stress matrix symmetric matrix theory of elasticity third-order elastic constants tion unit initial area unitary matrix values virtual deformation zero