A Morphing framework to couple non-local and local anisotropic continua

Yan Azdoud; Fei Han; Gilles Lubineau

doi:10.1016/j.ijsolstr.2013.01.016

A Morphing framework to couple non-local and local anisotropic continua

Yan Azdoud, Fei Han, Gilles Lubineau

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78 Scopus citations

Abstract

In this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique. © 2013 Elsevier Ltd. All rights reserved.

Original language	English (US)
Pages (from-to)	1332-1341
Number of pages	10
Journal	International Journal of Solids and Structures
Volume	50
Issue number	9
DOIs	https://doi.org/10.1016/j.ijsolstr.2013.01.016
State	Published - May 2013

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KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

Mechanics of Materials
Modeling and Simulation
General Materials Science
Mechanical Engineering
Applied Mathematics
Condensed Matter Physics

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10.1016/j.ijsolstr.2013.01.016

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title = "A Morphing framework to couple non-local and local anisotropic continua",

abstract = "In this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique. {\textcopyright} 2013 Elsevier Ltd. All rights reserved.",

author = "Yan Azdoud and Fei Han and Gilles Lubineau",

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AU - Azdoud, Yan

AU - Han, Fei

AU - Lubineau, Gilles

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/5

Y1 - 2013/5

N2 - In this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique. © 2013 Elsevier Ltd. All rights reserved.

AB - In this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique. © 2013 Elsevier Ltd. All rights reserved.

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UR - https://linkinghub.elsevier.com/retrieve/pii/S0020768313000310

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JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 9

ER -

A Morphing framework to couple non-local and local anisotropic continua

Abstract

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