2007
DOI: 10.1002/nme.2156
|View full text |Cite
|
Sign up to set email alerts
|

Multiscale aggregating discontinuities: A method for circumventing loss of material stability

Abstract: SUMMARYNew methods for the analysis of failure by multiscale methods that invoke unit cells to obtain the subscale response are described. These methods, called multiscale aggregating discontinuities, are based on the concept of 'perforated' unit cells, which exclude subdomains that are unstable, i.e. exhibit loss of material stability. Using this concept, it is possible to compute an equivalent discontinuity at the coarser scale, including both the direction of the discontinuity and the magnitude of the jump.… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
154
0
4

Year Published

2010
2010
2019
2019

Publication Types

Select...
5
4

Relationship

0
9

Authors

Journals

citations
Cited by 210 publications
(159 citation statements)
references
References 46 publications
1
154
0
4
Order By: Relevance
“…for more details on multiscale modeling of failure, damage, and crack propagation and Refs. [430] and [447][448][449][450][451][452][453][454][455][456] for background on modeling instability phenomena such as buckling in the context of multiscale modeling.…”
Section: Beyond Purely Elastic Problemsmentioning
confidence: 99%
“…for more details on multiscale modeling of failure, damage, and crack propagation and Refs. [430] and [447][448][449][450][451][452][453][454][455][456] for background on modeling instability phenomena such as buckling in the context of multiscale modeling.…”
Section: Beyond Purely Elastic Problemsmentioning
confidence: 99%
“…The displacement jump across S is denoted: β(x, t). The regular macro-strain ε R is defined in points excluding S, and is written in equation (2). Hence, from (1) and (2), observe that the macro-displacement and macro-strain fields are completely described through the variables: (u, β).…”
Section: (A) (B)mentioning
confidence: 99%
“…This methodological approach has been the subject of recent intensive research in the scientific community. A number of novel contributions have been made in this direction, see for example the approaches of Matous et al [21], Verhoosel et al [44], Nguyen et al [27,29] Belytschko and coworkers [2,41], Geers and coworkers [6], Unger [43] and Souza et al [42]. However, the development of a consistent method has remained full of major theoretical challenges.…”
Section: Introductionmentioning
confidence: 99%
“…In [18,1], the authors have developed the MAD (Multiscale Aggregating Discontinuities) method in which a macroscopic crack is determined as equivalent to a bunch of microscale cracks. The method is however restricted to cases where the separation-of-scales principle is violated for the micro sample had to match the macro element to which it is linked.…”
Section: Introductionmentioning
confidence: 99%