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Aspects of interface elasticity theory

Javili, Ali ; Ottosen, Niels Saabye LU ; Ristinmaa, Matti LU orcid and Mosler, Jörn (2018) In Mathematics and Mechanics of Solids 23(7). p.1004-1024
Abstract
Interfaces significantly influence the overall material response especially when the area-to-volume ratio is large, for instance in nanocrystalline solids. A well-established and frequently applied framework suitable for modeling interfaces dates back to the pioneering work by Gurtin and Murdoch on surface elasticity theory and its generalization to interface elasticity theory. In this contribution, interface elasticity theory is revisited and different aspects of this theory are carefully examined. Two alternative formulations based on stress vectors and stress tensors are given to unify various existing approaches in this context. Focus is on the hyper-elastic mechanical behavior of such interfaces. Interface elasticity theory at finite... (More)
Interfaces significantly influence the overall material response especially when the area-to-volume ratio is large, for instance in nanocrystalline solids. A well-established and frequently applied framework suitable for modeling interfaces dates back to the pioneering work by Gurtin and Murdoch on surface elasticity theory and its generalization to interface elasticity theory. In this contribution, interface elasticity theory is revisited and different aspects of this theory are carefully examined. Two alternative formulations based on stress vectors and stress tensors are given to unify various existing approaches in this context. Focus is on the hyper-elastic mechanical behavior of such interfaces. Interface elasticity theory at finite deformation is critically reanalyzed and several subtle conclusions are highlighted. Finally, a consistent linearized interface elasticity theory is established. We propose an energetically consistent interface linear elasticity theory together with its appropriate stress measures. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematics and Mechanics of Solids
volume
23
issue
7
pages
21 pages
publisher
SAGE Publications
external identifiers
  • scopus:85041298486
ISSN
1741-3028
language
English
LU publication?
yes
id
c5e59fed-ad05-42f2-8daa-d1392f8fb9d6
date added to LUP
2026-03-09 13:10:44
date last changed
2026-03-18 15:02:45
@article{c5e59fed-ad05-42f2-8daa-d1392f8fb9d6,
  abstract     = {{Interfaces significantly influence the overall material response especially when the area-to-volume ratio is large, for instance in nanocrystalline solids. A well-established and frequently applied framework suitable for modeling interfaces dates back to the pioneering work by Gurtin and Murdoch on surface elasticity theory and its generalization to interface elasticity theory. In this contribution, interface elasticity theory is revisited and different aspects of this theory are carefully examined. Two alternative formulations based on stress vectors and stress tensors are given to unify various existing approaches in this context. Focus is on the hyper-elastic mechanical behavior of such interfaces. Interface elasticity theory at finite deformation is critically reanalyzed and several subtle conclusions are highlighted. Finally, a consistent linearized interface elasticity theory is established. We propose an energetically consistent interface linear elasticity theory together with its appropriate stress measures.}},
  author       = {{Javili, Ali and Ottosen, Niels Saabye and Ristinmaa, Matti and Mosler, Jörn}},
  issn         = {{1741-3028}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{1004--1024}},
  publisher    = {{SAGE Publications}},
  series       = {{Mathematics and Mechanics of Solids}},
  title        = {{Aspects of interface elasticity theory}},
  volume       = {{23}},
  year         = {{2018}},
}