Foundations of Solid Mechanics, Volume 2 |
Contents
PROTOTYPES OF THE THEORY OF ELASTICITY | 1 |
1 | 7 |
TENSOR ANALYSIS | 31 |
Copyright | |
18 other sections not shown
Common terms and phrases
a²w applied arbitrary assume ax² beam biharmonic body force boundary conditions C₁ Cartesian coordinates coefficients consider constant corresponding cross section defined deformation denoted derivatives differential displacements dx dy e₁ entropy equation of motion equations of equilibrium Euler equation example F₁ finite harmonic functions heat conduction Hence Hooke's law infinitesimal integral isotropic J₂ Laplace transformation linear elasticity load M₁ material metric tensor obtain particle plane strain plane stress plastic plate Poisson's ratio potential principle problem rectangular Cartesian coordinates respect satisfied shear shown in Fig solution strain energy strain energy function strain tensor stress components stress function stress tensor surface tractions symmetric temperature theorem theory thermodynamics transformation u₁ vanish variables variational vector velocity viscoelastic waves x₁ yield zero әт ди ду дх