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G Yaoawa Department of Nuclear Engineering University of Tokyo 731
The Mixed Finite Element Method in Elasticity and Elastic
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applied approximation bending bilinear boundary conditions coefficients collocation points complementary energy components computational constant constraint convergence coordinates couple-stress crack tip curvature defined deflection deformation degrees of freedom derived differential equations discrete displacement models dx dy edge eigenvalue equilibrium error example finite element analysis finite element method finite element model forces formulation four-node fracture mechanics grid Hellinger-Reissner hybrid finite element hybrid stress incompressible interelement boundaries interpolation Lagrange multiplier linear load material Mech Mechanics mesh Meth mixed finite element mixed models modes nodal nodes non-linear normal normal forces numerical O. C. Zienkiewicz obtained parameters penalty plane strain plane stress plate element polynomials problems R. H. Gallagher rigid body rotations S. N. Atluri satisfy shear shear stress shown in Figure solid mechanics solution strain energy stress intensity factor stress resultants Structural surface tensor theorem theory tion transverse unknowns values variables variational principles vector virtual displacement