Advanced Structured Materials, pages 329-350
A Beam—Just a Beam in Linear Plane Bending
Publication type: Book Chapter
Publication date: 2019-09-25
Journal:
Advanced Structured Materials
SJR: —
CiteScore: 1.0
Impact factor: —
ISSN: 18698433, 18698441
Abstract
Starting from the equations of the linear, three-dimensional theory of elasticity, the displacements are expanded into power series in the width- and height-coordinates. By invoking the uniform-approximation method in combination with the pseudo-reduction technique, a hierarchy of beam theories of different orders of approximation is established. The first-order approximation coincides with the classical Euler-Bernoulli beam theory, whereas the second-order approximation delivers a Timoshenko-type of shear-deformable beam theory. Differences and implications are discussed.
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TY - GENERIC
DO - 10.1007/978-3-030-17747-8_18
UR - https://doi.org/10.1007/978-3-030-17747-8_18
TI - A Beam—Just a Beam in Linear Plane Bending
T2 - Advanced Structured Materials
AU - Kienzler, Reinhold
AU - Schneider, Patrick
PY - 2019
DA - 2019/09/25
PB - Springer Nature
SP - 329-350
SN - 1869-8433
SN - 1869-8441
ER -
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@incollection{2019_Kienzler,
author = {Reinhold Kienzler and Patrick Schneider},
title = {A Beam—Just a Beam in Linear Plane Bending},
publisher = {Springer Nature},
year = {2019},
pages = {329--350},
month = {sep}
}