Introduction - origins of nonlinearity, Mathematical Preliminaries -1: Tensors and tensor algebra, Mathematical Preliminaries -2: Linearization and directional derivative, Tensor analysis etc
English
Last updated
Thu, 09-Jun-2022
Continuum mechanics as a full-fledged course is a very interesting but a challenging subject. Usually,its
application within the nonlinear finite element codes is not clear to the student. Computational
continuum mechanics tries to bridge this gap. Hence, it can be treated as an applied version of
continuum mechanics course. It assumes no prior exposure to continuum mechanics. The course starts
with sufficient introduction to tensors, kinematics, and kinetics. Then, the course applies these concepts
to set up the constitutive relations for nonlinear finite element analysis of a simple hyperelastic material.
This is followed by the linearization of the weak form of the equilibrium equations followed by
discretization to obtain the finite element equations, in particular, the tangent matrices and residual
vectors is discussed. Finally, the Newton-Raphson solution procedure is discussed along with line
search and arc length methods to enhance the solution procedure.
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