A nonlinear sectional analysis is developed for modeling beams made of hyperelastic materials and subject to finite deformation. Exploiting the fact that the cross-sectional dimension is much smaller than the wavelength of the global beam deformation, the three-dimensional hyperelasticity is rigorously reduced to a one-dimensional nonlinear beam analysis and a two-dimensional cross-sectional analysis featuring both geometric and material nonlinearities. The deformation gradient is directly used to enable the capability of dealing with various types of hyperelastic material models defined by the strain energy function. This new theory can predict phenomena from both material and geometric nonlinearities of beam-like structures, such as the trapeze and Poynting effects. The present theory is implemented using the finite element method in variational asymptotic beam sectional analysis, a general-purpose cross-sectional analysis tool that deals with composite beams. Examples are used to validate the theory and the companion code.
Nonlinear Variational Asymptotic Sectional Analysis of Hyperelastic Beams
AIAA journal ; 54 , 2
2016
Aufsatz (Zeitschrift)
Englisch
Verification of Variational–Asymptotic Sectional Analysis for Initially Curved and Twisted Beams
Online Contents | 2016
|Verification of Variational–Asymptotic Sectional Analysis for Initially Curved and Twisted Beams
Online Contents | 2016
|