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Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
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- Helsing, Johan (author)
- Lund University,Lunds universitet,Harmonic Analysis and Applications,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Ojala, Rikard (author)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
- (creator_code:org_t)
- Elsevier BV, 2009
- 2009
- English.
- In: International Journal of Solids and Structures. - : Elsevier BV. - 0020-7683. ; 46:25-26, s. 4437-4450
- Journal article (peer-reviewed)
Abstract
Subject headings
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- We present a fast algorithm for the calculation of elastostatic fields in two-dimensional assemblies of elastic grains, separated by sharp grain boundaries. The algorithm uses an integral equation approach, combined with the fast multipole method and recursive compression to resolve stress concentrations also very close to grain boundary junctions. Singular basis functions on analytic form are not required. Accurate results can be obtained at a cost roughly proportional to the number of grains in the assembly. Large-scale problems, with thousands of grains, are solved using modest computational resources.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Granular media
- Corner singularities
- Large-scale computations
- Fast multipole method
- Elasticity
- Multi-wedge points
- Integral equation
Publication and Content Type
- art (subject category)
- ref (subject category)
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