Two step Taylor Galerkin algorithm

The two step Taylor Galerkin algorithm applied to nonlinear structural dynamics

Non-linear finite element analysis is an essential component of nowadays computational mechanics. Implicit Newmarkâ??s family of algorithms with displacement formmulation is useful for stiffness dominated problems. Here a conservative explicit two step Taylor Galerkin algorithm formulated in terms of velocity is proposed for nonlinear impact dynamics with hyperelastic materials.

This work was accepted as MSc in Civil Engineering thesis at the University of Wales Swansea.