The Finite Element Method

application approximation array axi-symmetric B. M. IRONS boundary conditions Chapter co-ordinates coefficients components computation Conf constant constraints convergence defined degrees of freedom derived differential equations discretization discussed displacement dx dy eigenvalue elastic equilibrium example finite element analysis finite element method flow fluid forces formulation Galerkin given global heat conduction incompressible interpolation isoparametric iteration Lagrangian Lagrangian multipliers linear linear elastic load macro material Mech mesh Meth N₁ nodal nodes non-linear numerical integration O. C. ZIENKIEWICZ obtained parameters plane strain plane stress plastic plate bending Poisson's ratio polynomial problems Proc procedure quadrilateral reader shape functions shell shown in Fig simple singularity solid mechanics specified stiffness matrix strain Struct SUBROUTINE symmetric three-dimensional triangle triangular elements two-dimensional values variables variational principle vector write zero ди ду дф дх