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020 _a9783030697884
024 7 _a10.1007/978-3-030-69788-4
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_erda
_dES-MaUEC
050 4 _aTJ145
_b2021 EB
100 1 _aChen, Jingkai
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9678043
245 1 0 _aNonlocal Euler-Bernoulli Beam Theories :
_bA Comparative Study
_cby Jingkai Chen.
250 _aFirst edition 2021
264 1 _aCham
_bSpringer International Publishing
_c2021
300 _a1 recurso en línea (XII, 59 páginas)
_b41 ilustraciones, 27 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aarchivo de texto
_bPDF
490 0 _aSpringerBriefs in Continuum Mechanics
_x2625-1329
490 0 _aEngineering (SpringerNature-11647)
490 0 _aEngineering (R0) (SpringerNature-43712)
505 0 _aIntroduction -- Eringen's nonlocal beam theories -- Peridynamic beam theory -- Analytical solution to benchmark examples -- Numerical solution to integral-form peridynamic beam equation -- Conclusion.
520 3 _aThis book presents a comparative study on the static responses of the Euler-Bernoulli beam governed by nonlocal theories, including the Eringen's stress-gradient beam theory, the Mindlin's strain-gradient beam theory, the higher-order beam theory and the peridynamic beam theory. Benchmark examples are solved analytically and numerically using these nonlocal beam equations, including the simply-supported beam, the clamped-clamped beam and the cantilever beam. Results show that beam deformations governed by different nonlocal theories at different boundary conditions show complex behaviors. Specifically, the Eringen's stress-gradient beam equation and the peridynamic beam equation yield a much softer beam deformation for simply-supported beam and clamped-clamped beam, while the beam governed by the Mindlin's strain-gradient beam equation is much stiffer. The cantilever beam exhibits a completely different behavior. The higher-order beam equation can be stiffer or softer depending on the values of the two nonlocal parameters. Moreover, the deformation fluctuation of the truncated order peridynamic beam equation is observed and explained from the singularity aspect of the solution expression. This research casts light on the fundamental explanation of nonlocal beam theories in nano-electromechanical systems.
988 _aSpringer_Engineering_2021
650 7 _2embne
_aIngeniería mecánica
_9146662
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-69788-4
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
_n0
998 _b03/2021
_dz
_eb
_zSI