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The bending theory of fully nonlinea...

Falope, Federico Oyedeji.

The bending theory of fully nonlinear beams

Record Type:	Electronic resources : Monograph/item
Title/Author:	The bending theory of fully nonlinear beamsby Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope.
Author:	Tarantino, Angelo Marcello.
other author:	Lanzoni, Luca.
Published:	Cham :Springer International Publishing :2019.
Description:	ix, 87 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Elasticity.
Online resource:	https://doi.org/10.1007/978-3-030-14676-4
ISBN:	9783030146764$q(electronic bk.)

The bending theory of fully nonlinear beams
Tarantino, Angelo Marcello.

The bending theory of fully nonlinear beams[electronic resource] /by Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope. - Cham :Springer International Publishing :2019. - ix, 87 p. :ill. (some col.), digital ;24 cm.

Theoretical analysis -- Numerical and experimental analyses -- Generalization to variable bending moment.

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.

ISBN: 9783030146764$q(electronic bk.)

Standard No.: 10.1007/978-3-030-14676-4doiSubjects--Topical Terms:

229098
Elasticity.

LC Class. No.: QC191

Dewey Class. No.: 531.382

The bending theory of fully nonlinear beams
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100 1 $a Tarantino, Angelo Marcello. $3 836315
245 1 4 $a The bending theory of fully nonlinear beams $h [electronic resource] / $c by Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a ix, 87 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Theoretical analysis -- Numerical and experimental analyses -- Generalization to variable bending moment.
520 $a 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.
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650 2 4 $a Engineering Mathematics. $3 806481
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700 1 $a Lanzoni, Luca. $3 836316
700 1 $a Falope, Federico Oyedeji. $3 836317
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950 $a Engineering (Springer-11647)