Nonlocal Euler–Bernoulli Beam Theories (Record no. 75574)
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fixed length control field | 03330nam a22005055i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-030-69788-4 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20220801213753.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 210227s2021 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783030697884 |
-- | 978-3-030-69788-4 |
082 04 - CLASSIFICATION NUMBER | |
Call Number | 620.1 |
100 1# - AUTHOR NAME | |
Author | Chen, Jingkai. |
245 10 - TITLE STATEMENT | |
Title | Nonlocal Euler–Bernoulli Beam Theories |
Sub Title | A Comparative Study / |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2021. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XII, 59 p. 41 illus., 27 illus. in color. |
490 1# - SERIES STATEMENT | |
Series statement | SpringerBriefs in Continuum Mechanics, |
505 0# - FORMATTED CONTENTS NOTE | |
Remark 2 | Introduction -- Eringen’s nonlocal beam theories -- Peridynamic beam theory -- Analytical solution to benchmark examples -- Numerical solution to integral-form peridynamic beam equation -- Conclusion. |
520 ## - SUMMARY, ETC. | |
Summary, etc | This 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. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-69788-4 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
264 #1 - | |
-- | Cham : |
-- | Springer International Publishing : |
-- | Imprint: Springer, |
-- | 2021. |
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-- | computer |
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-- | rdamedia |
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-- | online resource |
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347 ## - | |
-- | text file |
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650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mechanics, Applied. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Continuum mechanics. |
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Engineering Mechanics. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Continuum Mechanics. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 2625-1337 |
912 ## - | |
-- | ZDB-2-ENG |
912 ## - | |
-- | ZDB-2-SXE |
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