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国际多尺度计算工程期刊

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ISSN 打印: 1543-1649

ISSN 在线: 1940-4352

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

卷 15, 册 4, 2017, pp. 295-322
DOI: 10.1615/IntJMultCompEng.2017020304
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摘要

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.

对本文的引用
  1. Fuentes-Cobas Luis Edmundo, Grijalva-Castillo María Cristina, Fuentes-Montero Luis, Matutes-Aquino José Andrés, Méndez-Nonell Juan, Texture and Electromagnetic Coupling Properties, Advanced Engineering Materials, 20, 4, 2018. Crossref

  2. Mahnken Rolf, Lenz Peter, Dammann Christian, A least squares approach for effective shear properties in an $${{\varvec{n}}}$$ n -layered sphere model, Archive of Applied Mechanics, 88, 11, 2018. Crossref

  3. Saito Risa, Yamanaka Yosuke, Matsubara Seishiro, Okabe Tomonaga, Moriguchi Shuji, Terada Kenjiro, A decoupling scheme for two‐scale finite thermoviscoelasticity with thermal and cure‐induced deformations, International Journal for Numerical Methods in Engineering, 122, 4, 2021. Crossref

  4. Lenz Peter, Mahnken Rolf, A general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains, International Journal of Solids and Structures, 233, 2021. Crossref

  5. Penner Eduard, Caylak Ismail, Mahnken Rolf, An uncertainty model for the curing process of transversely fiber reinforced plastics, PAMM, 20, 1, 2021. Crossref

  6. Lenz Peter, Mahnken Rolf, Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods, PAMM, 20, 1, 2021. Crossref

  7. Drossel Welf-G, Bobbert Mathias, Böhme Marcus, Dammann Christian, Dittes Axel, Gießmann Mina, Hühne Christian, Ihlemann Jörn, Kießling Robert, Lampke Thomas, Lenz Peter, Mahnken Rolf, Meschut Gerson, Müller Roland, Nier Matthias, Prussak Robert, Riemer Matthias, Sander Sascha, Schaper Mirko, Scharf Ingolf, Scholze Mario, Schwöbel Stephan-Daniel, Sharafiev Semen, Sinapius Michael, Stefaniak Daniel, Tröster Thomas, Wagner Martin F. -X., Wang Zheng, Zinn Carolin, Hybridprofile für Trag- und Crashstrukturen, in Intrinsische Hybridverbunde für Leichtbautragstrukturen, 2021. Crossref

  8. Lenz Peter, Mahnken Rolf, Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods, PAMM, 21, 1, 2021. Crossref

  9. Penner Eduard, Caylak Ismail, Mahnken Rolf, A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics, Mathematics and Mechanics of Complex Systems, 10, 1, 2022. Crossref

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