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On damage modeling of material interfaces : Numerical implementation and computational homogenization

Heitbreder, Tim; Ottosen, Niels Saabye LU ; Ristinmaa, Matti LU and Mosler, Jörn (2018) In Computer Methods in Applied Mechanics and Engineering 337. p.1-27
Abstract

A novel constitutive framework suitable for material interfaces undergoing large deformations in a geometrically exact setting was developed in Ottosen et al. (2016). In contrast to previous works, it permits the description of arbitrary material anisotropies by fulfilling all fundamental balance laws in physics as well as the principle of material objectivity. This paper deals with an efficient finite element implementation of the aforementioned framework in terms of the natural basis vectors. To be more precise, a different, more compact and more direct derivation of this framework is outlined first. It relies on the variational structure of the underlying problem. Subsequently, the aforementioned finite element approximation is... (More)

A novel constitutive framework suitable for material interfaces undergoing large deformations in a geometrically exact setting was developed in Ottosen et al. (2016). In contrast to previous works, it permits the description of arbitrary material anisotropies by fulfilling all fundamental balance laws in physics as well as the principle of material objectivity. This paper deals with an efficient finite element implementation of the aforementioned framework in terms of the natural basis vectors. To be more precise, a different, more compact and more direct derivation of this framework is outlined first. It relies on the variational structure of the underlying problem. Subsequently, the aforementioned finite element approximation is elaborated which is finally embedded into a computational homogenization scheme. This scheme allows the analysis of the influence of the novel interface model on the resulting macroscopic (effective) material response. It is shown by numerical examples that the interaction of bulk energies and interface energies leads, in a very natural manner, to a complex size effect. It includes the frequently observed “the smaller the stiffer” relation, but also the less often observed “the smaller the softer” relation. However, since the overall response is usually a superposition of such relations, the effective properties cannot generally be characterized by one of the aforementioned limiting relations.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cohesive zone, Computational homogenization, Damage mechanics, Material interfaces, Size effect, Variational principles
in
Computer Methods in Applied Mechanics and Engineering
volume
337
pages
27 pages
publisher
Elsevier
external identifiers
  • scopus:85045007487
ISSN
0045-7825
DOI
10.1016/j.cma.2018.03.023
language
English
LU publication?
yes
id
db840ea4-3166-4ce6-b1b3-e3c8580518ed
date added to LUP
2018-04-16 15:33:16
date last changed
2018-04-16 15:33:16
@article{db840ea4-3166-4ce6-b1b3-e3c8580518ed,
  abstract     = {<p>A novel constitutive framework suitable for material interfaces undergoing large deformations in a geometrically exact setting was developed in Ottosen et al. (2016). In contrast to previous works, it permits the description of arbitrary material anisotropies by fulfilling all fundamental balance laws in physics as well as the principle of material objectivity. This paper deals with an efficient finite element implementation of the aforementioned framework in terms of the natural basis vectors. To be more precise, a different, more compact and more direct derivation of this framework is outlined first. It relies on the variational structure of the underlying problem. Subsequently, the aforementioned finite element approximation is elaborated which is finally embedded into a computational homogenization scheme. This scheme allows the analysis of the influence of the novel interface model on the resulting macroscopic (effective) material response. It is shown by numerical examples that the interaction of bulk energies and interface energies leads, in a very natural manner, to a complex size effect. It includes the frequently observed “the smaller the stiffer” relation, but also the less often observed “the smaller the softer” relation. However, since the overall response is usually a superposition of such relations, the effective properties cannot generally be characterized by one of the aforementioned limiting relations.</p>},
  author       = {Heitbreder, Tim and Ottosen, Niels Saabye and Ristinmaa, Matti and Mosler, Jörn},
  issn         = {0045-7825},
  keyword      = {Cohesive zone,Computational homogenization,Damage mechanics,Material interfaces,Size effect,Variational principles},
  language     = {eng},
  month        = {08},
  pages        = {1--27},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {On damage modeling of material interfaces : Numerical implementation and computational homogenization},
  url          = {http://dx.doi.org/10.1016/j.cma.2018.03.023},
  volume       = {337},
  year         = {2018},
}