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010   $a3-030-14676-6
024 7 $a10.1007/978-3-030-14676-4
035   $a(CKB)4100000007810379
035   $a(MiAaPQ)EBC5730793
035   $a(DE-He213)978-3-030-14676-4
035   $a(PPN)235234753
035   $a(EXLCZ)994100000007810379
100   $a20190313d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Bending Theory of Fully Nonlinear Beams /$fby Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (95 pages)
311   $a3-030-14675-8 
327   $aTheoretical analysis -- Numerical and experimental analyses -- Generalization to variable bending moment.
330   $aThis 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.
606   $aMechanics
606   $aMechanics, Applied
606   $aEngineering mathematics
606   $aNumerical analysis
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aEngineering mathematics.
615  0$aNumerical analysis.
615 14$aTheoretical and Applied Mechanics.
615 24$aEngineering Mathematics.
615 24$aNumerical Analysis.
676   $a531.382
676   $a531.382
700   $aTarantino$b Angelo Marcello$4aut$4http://id.loc.gov/vocabulary/relators/aut$0875244
702   $aLanzoni$b Luca$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aFalope$b Federico Oyedeji$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910337634903321
996   $aThe Bending Theory of Fully Nonlinear Beams$91954029
997   $aUNINA