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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Composite Structuresarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Composite Structures
Article . 2016 . Peer-reviewed
License: Elsevier TDM
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Practical implementation of asymptotic expansion homogenisation in thermoelasticity using a commercial simulation software

Authors: B. Barroqueiro; J. Dias-de-Oliveira; J. Pinho-da-Cruz; A. Andrade-Campos;

Practical implementation of asymptotic expansion homogenisation in thermoelasticity using a commercial simulation software

Abstract

Abstract Asymptotic expansion homogenisation (AEH) is a rigorous homogenisation method that allows to model the thermomechanical behaviour of periodic materials in an efficient manner. The main advantages of this method are the reduction of the problem size and the capability of quantifying the strain and stress levels in the microscale using macroscale results. This method provides explicit equations for its purpose, an advantage not found on typical homogenisation methods. This paper presents a pedagogic implementation and validation of AEH using the commercial simulation software ABAQUS. The scope of this work lies on thermoelasticity applied to heterogeneous materials. In this work, guidelines and troubleshooting for a successful implementation are analysed and discussed. Its purpose is to motivate the use of homogenisation methods, specially the AEH, and to detail every step needed to implement it using a commercial software. Key points, such as boundary conditions, computation of characteristic displacements and effective properties are discussed. Given the complexity of the problem, a series of validation schemes and results are presented and analysed. A user subroutine code is also presented.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Top 10%
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