A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions

A computational code based on a semianalytic procedure for the determination of the characteristic exponents and the singular stress and displacement fields in multi-material corners is developed. Linear elastic anisotropic materials under generalized plane strain state are considered. This code is...

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Detalhes bibliográficos
Autores: Herrera Garrido, María Ángeles, Mantic, Vladislav, Barroso Caro, Alberto
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/135128
Acesso em linha:https://hdl.handle.net/11441/135128
https://doi.org/10.1016/j.tafmec.2022.103271
Access Level:acceso abierto
Palavra-chave:Corner singularity
Singularity exponent
Anisotropic linear elastic material
Homogeneous boundary and interface conditions
Frictionless contact
Stroh formalism
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spelling A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditionsHerrera Garrido, María ÁngelesMantic, VladislavBarroso Caro, AlbertoCorner singularitySingularity exponentAnisotropic linear elastic materialHomogeneous boundary and interface conditionsFrictionless contactStroh formalismA computational code based on a semianalytic procedure for the determination of the characteristic exponents and the singular stress and displacement fields in multi-material corners is developed. Linear elastic anisotropic materials under generalized plane strain state are considered. This code is a universal computational tool able to analyze both open and closed (periodic) corners, composed of one or multiple materials with isotropic, transversely isotropic or orthotropic constitutive laws, covering both mathematically non-degenerate and degenerate materials in the framework of Stroh formalism. In multi-material corners, material junctions with perfectly bonded or frictionless sliding interfaces can be studied. The considered homogeneous boundary conditions cover stress free and fixed faces, or faces with some restricted or allowed direction of displacements, defined either in the reference frame aligned with the cylindrical coordinate system or in an inclined reference frame. The code is developed in MATLAB and it is based on the Stroh matrix formalism for anisotropic elasticity, the concept of transfer matrix for single material wedges, and on the matrix formalism for homogeneous (orthogonal) boundary conditions. The comparison of the characteristic exponents obtained by the present code and by the solution of closed-form eigenequations available in the literature, has a two-fold objective, first to exhaustively check the general computational implementation of the matrix formalism presented, and second to check the closed-form expressions of eigenequations for relevant specific cases published in the literature.Ministerio de Ciencia, Innovación y Universidades PGC2018-099197-B- I00Consejería de Transformación Económica, Industria, Conocimiento y Universidades - Junta de Andalucía P18-FR-1928, US-1266016Fondos FEDER GC2018-099197-B-I00, P18-FR- 1928, US-1266016ElsevierMecánica de Medios Continuos y Teoría de EstructurasTEP-131: Elasticidad y Resistencia de MaterialesMinisterio de Ciencia, Innovación y Universidades (MICINN). EspañaJunta de AndalucíaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/135128https://doi.org/10.1016/j.tafmec.2022.103271reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésTheoretical and Applied Fracture Mechanics, 119, 103271.PGC2018-099197-B- I00P18-FR-1928, US-1266016GC2018-099197-B-I00P18-FR- 1928US-1266016https://www.sciencedirect.com/science/article/pii/S016784422200026Xinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1351282026-06-17T12:51:07Z
dc.title.none.fl_str_mv A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
title A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
spellingShingle A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
Herrera Garrido, María Ángeles
Corner singularity
Singularity exponent
Anisotropic linear elastic material
Homogeneous boundary and interface conditions
Frictionless contact
Stroh formalism
title_short A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
title_full A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
title_fullStr A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
title_full_unstemmed A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
title_sort A powerful matrix formalism for stress singularities in anisotropic multi-material corners. Homogeneous (orthogonal) boundary and interface conditions
dc.creator.none.fl_str_mv Herrera Garrido, María Ángeles
Mantic, Vladislav
Barroso Caro, Alberto
author Herrera Garrido, María Ángeles
author_facet Herrera Garrido, María Ángeles
Mantic, Vladislav
Barroso Caro, Alberto
author_role author
author2 Mantic, Vladislav
Barroso Caro, Alberto
author2_role author
author
dc.contributor.none.fl_str_mv Mecánica de Medios Continuos y Teoría de Estructuras
TEP-131: Elasticidad y Resistencia de Materiales
Ministerio de Ciencia, Innovación y Universidades (MICINN). España
Junta de Andalucía
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.subject.none.fl_str_mv Corner singularity
Singularity exponent
Anisotropic linear elastic material
Homogeneous boundary and interface conditions
Frictionless contact
Stroh formalism
topic Corner singularity
Singularity exponent
Anisotropic linear elastic material
Homogeneous boundary and interface conditions
Frictionless contact
Stroh formalism
description A computational code based on a semianalytic procedure for the determination of the characteristic exponents and the singular stress and displacement fields in multi-material corners is developed. Linear elastic anisotropic materials under generalized plane strain state are considered. This code is a universal computational tool able to analyze both open and closed (periodic) corners, composed of one or multiple materials with isotropic, transversely isotropic or orthotropic constitutive laws, covering both mathematically non-degenerate and degenerate materials in the framework of Stroh formalism. In multi-material corners, material junctions with perfectly bonded or frictionless sliding interfaces can be studied. The considered homogeneous boundary conditions cover stress free and fixed faces, or faces with some restricted or allowed direction of displacements, defined either in the reference frame aligned with the cylindrical coordinate system or in an inclined reference frame. The code is developed in MATLAB and it is based on the Stroh matrix formalism for anisotropic elasticity, the concept of transfer matrix for single material wedges, and on the matrix formalism for homogeneous (orthogonal) boundary conditions. The comparison of the characteristic exponents obtained by the present code and by the solution of closed-form eigenequations available in the literature, has a two-fold objective, first to exhaustively check the general computational implementation of the matrix formalism presented, and second to check the closed-form expressions of eigenequations for relevant specific cases published in the literature.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/135128
https://doi.org/10.1016/j.tafmec.2022.103271
url https://hdl.handle.net/11441/135128
https://doi.org/10.1016/j.tafmec.2022.103271
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Theoretical and Applied Fracture Mechanics, 119, 103271.
PGC2018-099197-B- I00
P18-FR-1928, US-1266016
GC2018-099197-B-I00
P18-FR- 1928
US-1266016
https://www.sciencedirect.com/science/article/pii/S016784422200026X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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