Introduction to Mechanics of Continua

According angle axis basic invariants boundary conditions Cartesian coordinate system Chapter coefficients considered constant constitutive equation continuum coordinate system corresponding cross section curl cylinder defined denoted density derivative differential equation displacement elastic equation of motion equilibrium exterior normal follows function furnishes grad gradient incompressible infinitesimal instantaneous integral linear material line elements material rate obtained orthogonal perfect fluid positive pressure principal axes principal direction principal stresses principal values problem rate of change rate of deformation rectangular Cartesian coordinate relation represents respect rotation scalar field shear line shear rate shearing stress Show strain tensor stream lines stress components stress field stress rate stress tensor subscripts surface element surface traction symbolic notation symmetric tensor T₁ theorem tion U₁ unit vector v₁ vanishes variables vector field vector gradient velocity field velocity potential viscous fluid vortex lines vorticity written x-axis