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International Journal for Multiscale Computational Engineering
Factor de Impacto: 1.016 Factor de Impacto de 5 años: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2017020304
pages 295-322

(n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES

Rolf Mahnken
Chair of Engineering Mechanics, University of Paderborn,Warburger Str. 100, Paderborn, 33098, Germany
Christian Dammann
Chair of Engineering Mechanics, University of Paderborn,Warburger Str. 100, Paderborn, 33098, Germany
Peter Lenz
Chair of Engineering Mechanics, University of Paderborn,Warburger Str. 100, Paderborn, 33098, Germany

SINOPSIS

Our work presents extensions of multilayered composite sphere models known from the literature to temperature-dependent elastic effects accompanied by curing. In particular volumetric effective properties are obtained by homogenization for a representative volume element on the heterogeneous microscale (micro-RVE) for thermo-chemomechanical couplingwith linear elasticity. To this end, analytical solutions for (n)- and (n + 1)-layered composite sphere models are derived, in addition to Voigt and Reuss bounds resulting from the assumption of a homogeneous mixture. As a further result the equivalence for the thermo-chemo-mechanical volumetric effective properties of the (n)- and the (n + 1)-layered composite sphere model is shown. In a numerical study for a (3)-phase matrix it is demonstrated that the effective elastic and thermal properties lie within the Voigt and Reuss bounds, while for the chemical part of the model, an analogous result is obtained for the effective strains.


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