Galerkin-Eshelby Meshless Approach to Multiple Inclusion Problem

Stanislav Šulc; Jan Novák

doi:10.4028/www.scientific.net/AMR.1144.167

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Adaptive Boundaries of Wang Tiles for Heterogeneous Material Modelling
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Galerkin-Eshelby Meshless Approach to Multiple Inclusion Problem
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Comparison of Semidefinite Solvers for Topology Optimization of Cantilever Trusses Subject to Fundamental Eigenvalue Constraint
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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1144Galerkin-Eshelby Meshless Approach to Multiple...

Galerkin-Eshelby Meshless Approach to Multiple Inclusion Problem

Abstract:

This paper presents a method of computing perturbation fields in a heterogeneous material composed of multiple ellipsoidal inclusions embedded in homogeneous matrix. The work rests on the renowned Eshelby analytical solution to the single inclusion problem. The strain perturbations, arising from this solution, are used as the shape functions in the Galerkin method, which finds the solution as a combination of these functions with minimum potential energy.

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Periodical:

Advanced Materials Research (Volume 1144)

Pages:

167-171

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1144.167

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Online since:

March 2017

Authors:

Stanislav Šulc*, Jan Novák

Keywords:

Eshelby Solution, Galerkin Method, Multiple Inclusion Problem

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References

[1] J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 241 (1226) (1957) 376-396.

DOI: 10.1098/rspa.1957.0133

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[2] muMECH, home page, URL http: /www. mumech. cz.

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