Introduction to the Finite Element Method; a Numerical Method for Engineering Analysis

applications approach approximate ASCE assemblage assumed axisymmetric b₁ b₂ basic beam behavior body boundary conditions Chapter computed consider constant strain convergence curved deformation degrees of freedom derived direct stiffness method discretization displacement method displacement model elastic elastic-plastic element stiffness engineering equilibrium equations exact solution example external nodes field variable finite element analysis finite element method fluid geometric global coordinates Hence incremental procedure initial strain method integration interpolation functions interpolation model isoparametric linear load vector material properties mesh modulus nodal displacements nodal points nonlinear analysis obtain one-dimensional plane strain plane stress plastic polynomial potential energy Proc quadratic Reference Sample Problem Section seepage shear shell shown in Figure soil solid mechanics stiffness and load stiffness matrix strain-displacement Stress Analysis stress-strain stress-strain curve structure symmetric technique tetrahedron theory three-dimensional tion triangle triangular element two-dimensional variational principle Zienkiewicz ди ду дх