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The bending theory of fully nonlinear beams

Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope (Springer Nature, 2019)

 Abstrak

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 books 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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 Metadata

No. Panggil : e20509622
Entri utama-Nama orang :
Entri tambahan-Nama orang :
Subjek :
Penerbitan : Switzerland: Springer Nature, 2019
Sumber Pengatalogan: LibUI eng rda
Tipe Konten: text
Tipe Media: computer
Tipe Pembawa: online resource
Deskripsi Fisik: ix, 87 pages : illustration
Tautan: https://doi.org/10.1007/978-3-030-14676-4
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No. Panggil No. Barkod Ketersediaan
e20509622 02-20-818022146 TERSEDIA
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Tidak ada ulasan pada koleksi ini: 20509622