Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field

Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field

Consideration is given to a class of non-classical problems in elasticity theory which concerns the restoration of a full tensor of stresses in a body in the case where for one part of the body surface the loading vector and the displacement vector are prescribed, for other parts vector of displacem...

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Main Author: A. A. Schwab
Format: Article
Language:English
Published: Samara State Technical University 2010-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu747
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spelling doaj-f05d6a548f734bb2af4f01621d61c1732020-11-25T02:42:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-03-011(20)9610310.14498/vsgtu747 Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity FieldA. A. SchwabConsideration is given to a class of non-classical problems in elasticity theory which concerns the restoration of a full tensor of stresses in a body in the case where for one part of the body surface the loading vector and the displacement vector are prescribed, for other parts vector of displacements or vector of loads is known and for some parts of the body surface (its measure is not equal zero) the conditions are unknown. For solving of this problem boundary integral equations method for the holomorphic vector is proposed. It is shown that this method is efficient and can be applied to the non-classical problems of mechanics.http://mi.mathnet.ru/eng/vsgtu747
collection DOAJ
language English
format Article
sources DOAJ
author A. A. Schwab
spellingShingle A. A. Schwab
Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet A. A. Schwab
author_sort A. A. Schwab
title Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
title_short Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
title_full Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
title_fullStr Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
title_full_unstemmed Boundary Integral Equation Method for Holomorphic Vector for Problems Monitoring Elasticity Field
title_sort boundary integral equation method for holomorphic vector for problems monitoring elasticity field
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2010-03-01
description Consideration is given to a class of non-classical problems in elasticity theory which concerns the restoration of a full tensor of stresses in a body in the case where for one part of the body surface the loading vector and the displacement vector are prescribed, for other parts vector of displacements or vector of loads is known and for some parts of the body surface (its measure is not equal zero) the conditions are unknown. For solving of this problem boundary integral equations method for the holomorphic vector is proposed. It is shown that this method is efficient and can be applied to the non-classical problems of mechanics.
url http://mi.mathnet.ru/eng/vsgtu747
work_keys_str_mv AT aaschwab boundaryintegralequationmethodforholomorphicvectorforproblemsmonitoringelasticityfield
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