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An RVE-based multiscale theory of solids with micro-scale inertia and body force effects

E.A. de Souza Neto, P.J. Blanco, P.J. Sánchez, R.A. Feijóo, Eduardo De Souza Neto Orcid Logo

Mechanics of Materials, Volume: 80, Pages: 136 - 144

Swansea University Author: Eduardo De Souza Neto Orcid Logo

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DOI (Published version): 10.1016/j.mechmat.2014.10.007

Abstract

A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements prov...

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Published in: Mechanics of Materials
ISSN: 0167-6636
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa22542
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spelling 2020-10-14T16:54:03.0454424 v2 22542 2015-07-20 An RVE-based multiscale theory of solids with micro-scale inertia and body force effects 91568dee6643b7d350f0d5e8edb7b46a 0000-0002-9378-4590 Eduardo De Souza Neto Eduardo De Souza Neto true false 2015-07-20 CIVL A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale. Journal Article Mechanics of Materials 80 136 144 0167-6636 Multiscale; Inertia; Body forces; RVE; Hill–Mandel Principle; Homogenisation 31 12 2015 2015-12-31 10.1016/j.mechmat.2014.10.007 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-10-14T16:54:03.0454424 2015-07-20T04:25:17.1746978 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering E.A. de Souza Neto 1 P.J. Blanco 2 P.J. Sánchez 3 R.A. Feijóo 4 Eduardo De Souza Neto 0000-0002-9378-4590 5 0022542-27022017205726.pdf pp_multiscale_bodyforce-v10.pdf 2017-02-27T20:57:26.2230000 Output 307162 application/pdf Accepted Manuscript true 2017-02-27T00:00:00.0000000 false eng
title An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
spellingShingle An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
Eduardo De Souza Neto
title_short An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_full An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_fullStr An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_full_unstemmed An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
title_sort An RVE-based multiscale theory of solids with micro-scale inertia and body force effects
author_id_str_mv 91568dee6643b7d350f0d5e8edb7b46a
author_id_fullname_str_mv 91568dee6643b7d350f0d5e8edb7b46a_***_Eduardo De Souza Neto
author Eduardo De Souza Neto
author2 E.A. de Souza Neto
P.J. Blanco
P.J. Sánchez
R.A. Feijóo
Eduardo De Souza Neto
format Journal article
container_title Mechanics of Materials
container_volume 80
container_start_page 136
publishDate 2015
institution Swansea University
issn 0167-6636
doi_str_mv 10.1016/j.mechmat.2014.10.007
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description A multiscale theory of solids based on the concept of representative volume element (RVE) and accounting for micro-scale inertia and body forces is proposed. A simple extension of the classical Hill–Mandel Principle together with suitable kinematical constraints on the micro-scale displacements provide the variational framework within which the theory is devised. In this context, the micro-scale equilibrium equation and the homogenisation relations among the relevant macro- and micro-scale quantities are rigorously derived by means of straightforward variational arguments. In particular, it is shown that only the fluctuations of micro-scale inertia and body forces about their RVE volume averages may affect the micro-scale equilibrium problem and the resulting homogenised stress. The volume average themselves are mechanically relevant only to the macro-scale.
published_date 2015-12-31T03:26:39Z
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score 11.037144

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