Connecting beams and continua: variational basis and mathematical analysis
Numerical Analysis
2019-09-11 v1 Numerical Analysis
Mathematical Physics
math.MP
Abstract
We present a new variational principle for linking models of beams and deformable solids, providing also its mathematical analysis. Despite the apparent differences between the two types of governing equations, it will be shown that the equilibrium of systems combining beams and solids can be obtained from a joint constrained variational principle and that the resulting boundary-value problem is well posed.
Cite
@article{arxiv.1909.04025,
title = {Connecting beams and continua: variational basis and mathematical analysis},
author = {Ignacio Romero},
journal= {arXiv preprint arXiv:1909.04025},
year = {2019}
}