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Lagrangian and Serendipity plate and shell elements
Some finite element approximations of thin shell problems
The evolution of lower order plate and shell elements
13 other sections not shown
Appl applied approximation axial basis functions beam Belytschko boundary calculations Comp components computational constant constraints convergence coordinate system curved cylinder defined deformation degrees of freedom derivatives displacement field DYNA3D elastic element stiffness energy Engng Engrg equations evaluated example Figure finite element analysis finite element methods four-node geometry global higher order Hughes hybrid stress in-plane increments interpolation kinematic Kirchhoff Lagrange laminate linear load Mech membrane locking membrane strains mesh Meth middle surface Mindlin moderately thick modes multilayer plate NASTRAN NIKE3D node nonlinear normal number of layers obtained orthogonal patch test plane plate and shell plate element points Poisson's ratio polynomials present QUAD4 quadratic quadrature quadrilateral reduced integration rigid body motion rotations shape functions shear locking shear strains shell elements shell problem shown solution spurious stabilization matrix stiffness matrix Structures theory thin shell transverse shear strains triangle variational vector zero Zienkiewicz