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The Bending Theory of Fully Nonlinear Beams

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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.

Availability
Inventory Code Barcode Call Number Location Status
1908002118EB0002824531.382 Tar tCentral Library (OPAC)Available
Detail Information
Series Title
-
Call Number
531.382 Tar t
Publisher
Switzerland : Springer Cham.,
Collation
IX, 87p.:Ill
Language
English
ISBN/ISSN
978-3-030-14676-4
Classification
531.382
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Particle beams
Specific Detail Info
-
Statement of Responsibility
Other version/related

No other version available

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