Introduction to Mechanics of Continua

According angle basic invariants boundary conditions boundary layer Chapter coefficients considered constant constitutive equation continuum coordinate system corresponding cross section cylinder defined denoted density derivative differential equation dimensionless discussion elastic equation of motion equilibrium exterior normal follows furnishes grad gradient hypoelastic material infinitesimal initial instantaneous linear material line elements material rate Newtonian fluid nonvanishing normal obtained perfect fluid positive pressure principal direction rate of change rate of deformation relation represents respect rotation satisfy scalar shear line shearing stress shows simple shear specific body force strain tensor stream function stream lines stress components stress field stress rate stress tensor surface element surface traction symmetric tensor T₁ theorem tion u₁ unit vector v₁ vanishes variables vector gradient velocity components velocity field velocity potential visco-plastic material viscous fluid vortex lines vorticity written x₁ zero