An introduction to nonlinear finite element analysis

By J. Reddy. 2004

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A steel–concrete composite beam model with partial interaction including the shear deformability of the steel component (2007, background): “Numerical problems may occur in structural modelling when two or more displacement fields are coupled and when the solution is sought in finite dimensional spaces, as those used in finite element approximations [17].”
A novel twice-interpolation finite element method for solid mechanics problems (2010, methodology): “The finite element method (FEM) is currently the most preferred numerical technique for obtaining approximate solution of many practical problems in engineering and science [1, 2 ].”
A novel alpha finite element method (αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements (2008, methodology): “The finite element model of the aFEM-T3 for nonlinear problems of large deformation based on the total Lagrange formulation [22,27] is expressed as follows:”