Variational Methods in Engineering: Proceedings on an International Conference Held at the University of Southampton, 25th September, 1972, Volume 1C. A. Brebbia, H. Tottenham |
Contents
Chapter | 1-1 |
Chapter | 1-7 |
The Analysis of Three Dimensional Problems | 1-9 |
Copyright | |
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Analysis application approximate solution assumed bilinear form bilinear map boundary conditions coefficients complementary components consider constitutive equations continuum mechanics convergence coordinates corresponding defined deflection deformation denote derivatives differential equations domain elastic equilibrium equations exact solution expressed finite difference Finite Element Analysis finite element method finite element models flow fluid force frequencies g₁ Galerkin Gateaux Gateaux derivative given Hilbert space integral linear load M₁ matrix Mech mesh nodal node nonlinear obtained operator plastic plate bending polynomial positive definite potential energy prescribed procedure respectively satisfy scalar shear shell solid solid mechanics solving space strain stress functions structure subdomain surface symmetric T₁ technique tensor theorem theory tion torsion u₁ v₁ value problems variables variational formulation variational methods variational principles vector velocity virtual displacements viscoelastic w₁ yields zero дх