The finite element method, fourth edition; volume 2: solid and fluid mechanics, dynamics and non-linearity

Plate and Shell bending approximation - thin (Kirchhoff) plates and C1 continuity requirements "Thick" Reissner-Mindlin plates - irreducible and mixed formulations shells as an assembly of flat elements axisymmetric shells shells as a special case of three-dimensional analysis - Reissner-Mindlin assumptions semi-analytical finite element processes - use of orthogonal functions and "Finite Strip" methods non-linear problems - plasticity, creep (viscoplasticity), non-linear field problems, etc. geometrically non-linear problems - large displacement and structural instability the time dimension - semi-discretization of field and dynamic problems and analytical solution procedures the time dimension - discrete approximation in time coupled systems convection dominated problems fluid mechanics - governing equations an incompressible flow Newtonian and non-Newtonian viscous flows compressible high-speed gas flow shallow water equations and waves computer procedures for finite element anlaysis.