A Locking-Free DPG Scheme for Timoshenko Beams-Reference-Cited by-同舟云学术

A Locking-Free DPG Scheme for Timoshenko Beams

Published:2020-08-05 Issue:2 Volume:21 Page:373-383
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Führer Thomas¹^ORCID,García Vera Carlos¹,Heuer Norbert¹^ORCID

Affiliation:

1. Facultad de Matemáticas , Pontificia Universidad Católica de Chile , Avenida Vicuña Mackenna 4860 , Santiago , Chile

Abstract

Abstract We develop a discontinuous Petrov–Galerkin scheme with optimal test functions (DPG method) for the Timoshenko beam bending model with various boundary conditions, combining clamped, simply supported, and free ends. Our scheme approximates the transverse deflection and bending moment. It converges quasi-optimally in L 2

{L_{2}}

and is locking free. In particular, it behaves well (converges quasi-optimally) in the limit case of the Euler–Bernoulli model. Several numerical results illustrate the performance of our method.

Funder

Comisión Nacional de Investigación Científica y Tecnológica

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference17 articles.

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