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MEET THE FINITE ELEMENT METHOD
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applied approximate assembled axisymmetric body force boundary conditions Chapter coefficients column vector complete components convergence coordinate system defined degrees of freedom derivatives differential equations dimensions discretized discussed displacement field dx dy evaluated example expressed field variable finite element analysis finite element equations finite element method finite element model finite element solution flow problems fluid mechanics formulation Galerkin,s heat conduction heat flux Helmholtz equation Hence incompressible integration interpolation functions linear loading lubrication problems mathematical natural coordinates nodal values nodal variables node numbers nonlinear number of nodes O. C. Zienkiewicz obtain plane strain plane stress plate polynomial potential energy potential flow pressure procedure quadratic Ritz method satisfies Section shown in Figure solid mechanics solution domain solved specified stiffness matrix strain stream function surface system equations temperature thermal three-dimensional triangle triangular elements two-dimensional variational principle velocity weighted residuals Zienkiewicz