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" The bending theory of fully nonlinear beams / "
Angelo Marcello Tarantino, Luca Lanzoni and Federico Oyedeji Falope.
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BL
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| Record Number
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861228
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| Main Entry
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Tarantino, Angelo Marcello
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| Title & Author
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The bending theory of fully nonlinear beams /\ Angelo Marcello Tarantino, Luca Lanzoni and Federico Oyedeji Falope.
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| Publication Statement
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Cham :: Springer,, [2019]
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, ©2019
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| Page. NO
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1 online resource :: illustrations (some color)
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| ISBN
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3030146766
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: 3030146774
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: 3030146782
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: 9783030146764
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: 9783030146771
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: 9783030146788
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3030146758
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9783030146757
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Preface; Acknowledgements; Contents; 1 Theoretical Analysis; 1.1 Introduction; 1.2 Kinematics; 1.3 Lagrangian Analysis; 1.4 Equilibrium and Numerical Checks; 1.5 Eulerian Analysis; 1.6 Transition from Nonlinear Theory to Classical Linear Theory; 1.7 Conclusive Remarks on the Theoretical Analysis; References; 2 Numerical and Experimental Analyses; 2.1 Introduction; 2.2 Experimental Identification of the Constitutive Parameters and Reference beam; 2.3 FEM Analysis; 2.4 Experimental Analysis; 2.5 Comparisons and Discussion
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2.6 Conclusive Remarks on the Numerical and Experimental AnalysesReferences; 3 Generalization to Variable Bending Moment; 3.1 Introduction; 3.2 Moment-Curvature Relationship; 3.3 Geometric Considerations on the Deformed Axis of the Beam; 3.4 Problem Formulation; 3.5 Numerical Solution; 3.6 Applications; 3.7 Conclusive Remarks; References
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| Abstract
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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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| Subject
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Elasticity.
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Particle beams.
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Elasticity.
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Particle beams.
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| Subject
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SCIENCE-- Mechanics-- General.
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| Subject
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SCIENCE-- Mechanics-- Solids.
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| Dewey Classification
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531/.382
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| LC Classification
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QC191
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| Added Entry
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Falope, Federico Oyedeji
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Lanzoni, Luca
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