Overview
- Addresses researchers, professionals and graduate students interested in the nonlinear mechanics of solids and structures
- Presents a modern and comprehensive treatment of the bending theory for fully nonlinear beams in the context of finite elasticity
- Compares the results provided by theoretical, numerical and experimental analyses for inflexed beams under large deformations and displacements
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (3 chapters)
Keywords
About this book
This book presents the bending theory of hyperelastic beams in the context of finite elasticity. The main difficulties in addressing this issue are due to its fully nonlinear framework, which makes no assumptions regarding the size of the deformation and displacement fields. Despite the complexity of its mathematical formulation, the inflexion problem of nonlinear beams is frequently used in practice, and has numerous applications in the industrial, mechanical and civil sectors. Adopting a semi-inverse approach, the book formulates a three-dimensional kinematic model in which the longitudinal bending is accompanied by the transversal deformation of cross-sections. The results provided by the theoretical model are subsequently compared with those of numerical and experimental analyses. The numerical analysis is based on the finite element method (FEM), whereas a test equipment prototype was designed and fabricated for the experimental analysis. The experimental data was acquired using digital image correlation (DIC) instrumentation. These two further analyses serve to confirm the hypotheses underlying the theoretical model. In the book’s closing section, the analysis is generalized to the case of variable bending moment. The governing equations then take the form of a coupled system of three equations in integral form, which can be applied to a very wide class of equilibrium problems for nonlinear beams.
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: The Bending Theory of Fully Nonlinear Beams
Authors: Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope
DOI: https://doi.org/10.1007/978-3-030-14676-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-14675-7Published: 21 March 2019
eBook ISBN: 978-3-030-14676-4Published: 13 March 2019
Edition Number: 1
Number of Pages: IX, 87
Number of Illustrations: 15 b/w illustrations, 45 illustrations in colour
Topics: Theoretical and Applied Mechanics, Engineering Mathematics, Numerical Analysis