A justification of the Timoshenko beam model through Î-convergence

Lior Falach; Roberto Paroni; Paolo Podio-Guidugli

doi:10.1142/S0219530515500207

A justification of the Timoshenko beam model through Î-convergence

Lior Falach, Roberto Paroni, Paolo Podio-Guidugli

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of Γ-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence Γ-converges to a functional representing the energy of a Timoshenko beam.

Original language	English
Pages (from-to)	261-277
Number of pages	17
Journal	Analysis and Applications
Volume	15
Issue number	2
DOIs	https://doi.org/10.1142/S0219530515500207
State	Published - 1 Mar 2017
Externally published	Yes

Keywords

Timoshenko beams
Γ-convergence

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1142/S0219530515500207

Cite this

@article{b7f784f02c48494283ca5622c365ed70,

title = "A justification of the Timoshenko beam model through {\^I}-convergence",

abstract = "We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of Γ-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence Γ-converges to a functional representing the energy of a Timoshenko beam.",

keywords = "Timoshenko beams, Γ-convergence",

author = "Lior Falach and Roberto Paroni and Paolo Podio-Guidugli",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

month = mar,

day = "1",

doi = "10.1142/S0219530515500207",

language = "English",

volume = "15",

pages = "261--277",

journal = "Analysis and Applications",

issn = "0219-5305",

publisher = "World Scientific",

number = "2",

}

TY - JOUR

T1 - A justification of the Timoshenko beam model through Î-convergence

AU - Falach, Lior

AU - Paroni, Roberto

AU - Podio-Guidugli, Paolo

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of Γ-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence Γ-converges to a functional representing the energy of a Timoshenko beam.

AB - We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of Γ-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence Γ-converges to a functional representing the energy of a Timoshenko beam.

KW - Timoshenko beams

KW - Γ-convergence

UR - http://www.scopus.com/inward/record.url?scp=85010903522&partnerID=8YFLogxK

U2 - 10.1142/S0219530515500207

DO - 10.1142/S0219530515500207

M3 - Article

AN - SCOPUS:85010903522

SN - 0219-5305

VL - 15

SP - 261

EP - 277

JO - Analysis and Applications

JF - Analysis and Applications

IS - 2

ER -

A justification of the Timoshenko beam model through Î-convergence

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this