| 000 | 03330nam a22005055i 4500 | ||
|---|---|---|---|
| 001 | 978-3-030-69788-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220801213753.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 210227s2021 sz | s |||| 0|eng d | ||
| 020 |
_a9783030697884 _9978-3-030-69788-4 |
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| 024 | 7 |
_a10.1007/978-3-030-69788-4 _2doi |
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| 050 | 4 | _aTA349-359 | |
| 072 | 7 |
_aTGB _2bicssc |
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| 072 | 7 |
_aTEC009070 _2bisacsh |
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| 072 | 7 |
_aTGB _2thema |
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| 082 | 0 | 4 |
_a620.1 _223 |
| 100 | 1 |
_aChen, Jingkai. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _934224 |
|
| 245 | 1 | 0 |
_aNonlocal Euler–Bernoulli Beam Theories _h[electronic resource] : _bA Comparative Study / _cby Jingkai Chen. |
| 250 | _a1st ed. 2021. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2021. |
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| 300 |
_aXII, 59 p. 41 illus., 27 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringerBriefs in Continuum Mechanics, _x2625-1337 |
|
| 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 | _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. | ||
| 650 | 0 |
_aMechanics, Applied. _93253 |
|
| 650 | 0 |
_aContinuum mechanics. _93467 |
|
| 650 | 1 | 4 |
_aEngineering Mechanics. _931830 |
| 650 | 2 | 4 |
_aContinuum Mechanics. _93467 |
| 710 | 2 |
_aSpringerLink (Online service) _934225 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030697877 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030697891 |
| 830 | 0 |
_aSpringerBriefs in Continuum Mechanics, _x2625-1337 _934226 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-69788-4 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c75574 _d75574 |
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