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Introduction of piecewise virtual fields method for solution of inverse problems

This chapter discusses the direct identification of bending rigidities of a thin anisotropic composite plate. The simultaneous identification of constitutive parameters from heterogeneous strain fields is an important issue in the experimental solid mechanics community.The idea is to determine the u...

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Main Author: Syed Muhammad, Kashif
Format: Book Chapter
Language:English
Published: IIUM Press 2011
Subjects:
TA349 Mechanics of engineering. Applied mechanics
Online Access:http://irep.iium.edu.my/22961/1/Chapter_8.pdf
http://irep.iium.edu.my/22961/
http://rms.research.iium.edu.my/bookstore/default.aspx
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spelling my.iium.irep.229612012-08-11T23:02:47Z http://irep.iium.edu.my/22961/ Introduction of piecewise virtual fields method for solution of inverse problems Syed Muhammad, Kashif TA349 Mechanics of engineering. Applied mechanics This chapter discusses the direct identification of bending rigidities of a thin anisotropic composite plate. The simultaneous identification of constitutive parameters from heterogeneous strain fields is an important issue in the experimental solid mechanics community.The idea is to determine the unknown parameters from a single test giving a unique heterogeneous strain field. It enables to retrieve greater number of parameters than in the case of mechanical tests resulting in homogeneous strain fields provided that full-field measurements are available. In the general case however, neither a closed-form solution nor a direct link between measurements and unknown parameters are available. The challenge is therefore to solve an inverse problem for which the specimen loading, the type of constitutive equations and the strain fields are known whereas the parameters governing these constitutive equations are to be found. Various techniques have been recently proposed for solving such inverse problem, among which the Virtual Fields Method (VFM) is presented here. Virtual fields method is based on the principle of virtual work. For the case of a thin composite plate bending problem, two aspects are discussed here in detail, namely piecewise construction of the virtual fields and noise minimization effect. Numerical simulations illustrate the relevance of the method and its stability with respect to noisy data. IIUM Press 2011-12 Book Chapter REM application/pdf en http://irep.iium.edu.my/22961/1/Chapter_8.pdf Syed Muhammad, Kashif (2011) Introduction of piecewise virtual fields method for solution of inverse problems. In: Advanced Numerical Technologies in Engineering and Science. IIUM Press, Kuala Lumpur, pp. 253-294. ISBN 978-967-180-020-1 http://rms.research.iium.edu.my/bookstore/default.aspx
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic TA349 Mechanics of engineering. Applied mechanics
spellingShingle TA349 Mechanics of engineering. Applied mechanics
Syed Muhammad, Kashif
Introduction of piecewise virtual fields method for solution of inverse problems
description This chapter discusses the direct identification of bending rigidities of a thin anisotropic composite plate. The simultaneous identification of constitutive parameters from heterogeneous strain fields is an important issue in the experimental solid mechanics community.The idea is to determine the unknown parameters from a single test giving a unique heterogeneous strain field. It enables to retrieve greater number of parameters than in the case of mechanical tests resulting in homogeneous strain fields provided that full-field measurements are available. In the general case however, neither a closed-form solution nor a direct link between measurements and unknown parameters are available. The challenge is therefore to solve an inverse problem for which the specimen loading, the type of constitutive equations and the strain fields are known whereas the parameters governing these constitutive equations are to be found. Various techniques have been recently proposed for solving such inverse problem, among which the Virtual Fields Method (VFM) is presented here. Virtual fields method is based on the principle of virtual work. For the case of a thin composite plate bending problem, two aspects are discussed here in detail, namely piecewise construction of the virtual fields and noise minimization effect. Numerical simulations illustrate the relevance of the method and its stability with respect to noisy data.
format Book Chapter
author Syed Muhammad, Kashif
author_facet Syed Muhammad, Kashif
author_sort Syed Muhammad, Kashif
title Introduction of piecewise virtual fields method for solution of inverse problems
title_short Introduction of piecewise virtual fields method for solution of inverse problems
title_full Introduction of piecewise virtual fields method for solution of inverse problems
title_fullStr Introduction of piecewise virtual fields method for solution of inverse problems
title_full_unstemmed Introduction of piecewise virtual fields method for solution of inverse problems
title_sort introduction of piecewise virtual fields method for solution of inverse problems
publisher IIUM Press
publishDate 2011
url http://irep.iium.edu.my/22961/1/Chapter_8.pdf
http://irep.iium.edu.my/22961/
http://rms.research.iium.edu.my/bookstore/default.aspx
_version_ 1643608496972759040
score 13.211869

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