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Strain-Gradient Modeling and Computation of 3-D Printed Metamaterials for Verifying Constitutive Parameters Determined by Asymptotic Homogenization

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Theoretical Analyses, Computations, and Experiments of Multiscale Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 175))

Abstract

Metamaterials exhibit significantly different mechanical deformation than in classical “first-order” theory. One possible modeling approach is to use a “straingradient” theory by incorporating also higher gradients of displacements into the formulation. This procedure clearly brings in additional constitutive parameters. In this study, a numerical framework is presented by applying strain-gradient theory to 3-D printed structures with an infill ratio used frequently in additive manufacturing for weight reduction. This choice causes metamaterials; the additional constitutive parameters in the strain-gradient model are determined by an asymptotic homogenization. In order to demonstrate the reliability of this methodology, we verify the accuracy by computations using the finite element method.

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Author information

Authors and Affiliations

  1. Istanbul Technical University, Faculty of Naval Architecture and Ocean Engineering, Istanbul, Turkey

    Gokhan Aydin

  2. University of L’Aquila, International Research Center on Mathematics and Mechanics of Complex Systems, L’Aquila, Italy

    M. Erden Yildizdag

  3. Istanbul Technical University, Faculty of Naval Architecture and Ocean Engineering, Istanbul, Turkey

    M. Erden Yildizdag

  4. Uppsala University, Division of Applied Mechanics, Department of Materials Science and Engineering, Uppsala, Sweden

    Bilen Emek Abali

Authors
  1. Gokhan Aydin
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  2. M. Erden Yildizdag
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  3. Bilen Emek Abali
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Correspondence to Gokhan Aydin .

Editor information

Editors and Affiliations

  1. DICEAA, University of L'Aquila, L'Aquila, Italy

    Ivan Giorgio

  2. Engineering Faculty, Int. Telematic Univ. Uninettuno, ROMA, Roma, Italy

    Luca Placidi

  3. International Research Center, Università degli Studi dell'Aquila, L'Aquila, Italy

    Emilio Barchiesi

  4. Department of Mate. Sci. and Eng., Uppsala University, Uppsala, Sweden

    Bilen Emek Abali

  5. Fakultät für Maschinenbau, Otto-von-Guericke-Universität Magedeburg, Magdeburg, Germany

    Holm Altenbach

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Aydin, G., Yildizdag, M.E., Abali, B.E. (2022). Strain-Gradient Modeling and Computation of 3-D Printed Metamaterials for Verifying Constitutive Parameters Determined by Asymptotic Homogenization. In: Giorgio, I., Placidi, L., Barchiesi, E., Abali, B.E., Altenbach, H. (eds) Theoretical Analyses, Computations, and Experiments of Multiscale Materials. Advanced Structured Materials, vol 175. Springer, Cham. https://doi.org/10.1007/978-3-031-04548-6_16

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  • DOI: https://doi.org/10.1007/978-3-031-04548-6_16

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