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SUMMARY:Multiscale mechanics and cohesive-surface models - Professor René
  de Borst\, University of Glasgow
DTSTART:20130215T143000Z
DTEND:20130215T160000Z
UID:TALK42912@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:In this lecture\, we will start by a concise classification of
  multi-scale computational methods. We will concentrate on computational m
 ethods that allow for concurrent computing at multiple scales. Difficultie
 s that relate to the efficient and accurate coupling between the various s
 ubdomains will be highlighted\, with an emphasis on the coupling of domain
 s that are modelled by dissimilar field equations\, such as continuum mech
 anics and molecular dynamics. Two main approaches can be distinguished for
  resolving interfaces and evolving discontinuities. Within the class of di
 screte models\, cohesive-surface approaches are probably the most versatil
 e\, in particular for heterogeneous materials. However\, limitations exist
 \, in particular related to stress triaxiality\, which cannot be captured 
 well in standard cohesive-surface models. In this lecture\, we will presen
 t an elegant enhancement of the cohesive-surface model to include stress t
 riaxiality\, which preserves the discrete character of cohesive-surface mo
 dels.\n\nAmong the recent developments in continuum approaches we mention 
 the phase-field theories\, and we will relate them to gradient damage mode
 ls. In particular\, we will elaborate a phase-field approach for cohesive-
 surface models\, which\, although being a continuum approach\, results in 
 a well-posed boundary value problem\, and is therefore free of mesh depend
 ence.\n\nWhether a discontinuity is modelled via a continuum model\, or in
  a discrete manner\, advanced discretisation methods are needed to model t
 he internal free boundary. The most powerful methods are finite element me
 thods that exploit the partition-of-unity property of the shape functions\
 , and isogeometric analysis. Examples will be given\, including analyses t
 hat include coupling of evolving discontinuities with non-mechanical field
 s such as moisture and thermal flow.
LOCATION:Department of Engineering - LR4
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