A Justification of the Timoshenko Beam Model through $\boldsymbol\Gamma$-Convergence
Mathematical Physics
2015-02-06 v1 math.MP
Abstract
We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of -convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence -converges to a functional representing the energy of a Timoshenko beam.
Keywords
Cite
@article{arxiv.1502.01552,
title = {A Justification of the Timoshenko Beam Model through $\boldsymbol\Gamma$-Convergence},
author = {Lior Falach and Roberto Paroni and Paolo Podio-Guidugli},
journal= {arXiv preprint arXiv:1502.01552},
year = {2015}
}