000 03574nam a22005415i 4500
001 978-3-030-14676-4
003 DE-He213
005 20220801214834.0
007 cr nn 008mamaa
008 190313s2019 sz | s |||| 0|eng d
020 _a9783030146764
_9978-3-030-14676-4
024 7 _a10.1007/978-3-030-14676-4
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
082 0 4 _a620.1
_223
100 1 _aTarantino, Angelo Marcello.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940772
245 1 4 _aThe Bending Theory of Fully Nonlinear Beams
_h[electronic resource] /
_cby Angelo Marcello Tarantino, Luca Lanzoni, Federico Oyedeji Falope.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aIX, 87 p. 60 illus., 45 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aTheoretical analysis -- Numerical and experimental analyses -- Generalization to variable bending moment.
520 _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.
650 0 _aMechanics, Applied.
_93253
650 0 _aEngineering mathematics.
_93254
650 0 _aNumerical analysis.
_94603
650 1 4 _aEngineering Mechanics.
_931830
650 2 4 _aEngineering Mathematics.
_93254
650 2 4 _aNumerical Analysis.
_94603
700 1 _aLanzoni, Luca.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940773
700 1 _aFalope, Federico Oyedeji.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_940774
710 2 _aSpringerLink (Online service)
_940775
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030146757
776 0 8 _iPrinted edition:
_z9783030146771
776 0 8 _iPrinted edition:
_z9783030146788
856 4 0 _uhttps://doi.org/10.1007/978-3-030-14676-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76808
_d76808