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

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10.1142/S0219530515500207

Cite this

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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.",

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AU - Falach, Lior

AU - Paroni, Roberto

AU - Podio-Guidugli, Paolo

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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 - https://www.scopus.com/pages/publications/85010903522

U2 - 10.1142/S0219530515500207

DO - 10.1142/S0219530515500207

M3 - Article

AN - SCOPUS:85010903522

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EP - 277

JO - Analysis and Applications

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ER -

A justification of the Timoshenko beam model through Î-convergence

Abstract

Keywords

ASJC Scopus subject areas

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