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Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching

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Abstract

A model for the mechanics of woven fabrics is developed in the framework of two-dimensional elastic surface theory. Thickness effects are modeled indirectly in terms of appropriate constitutive equations. The model accounts for the strain of the fabric and additional effects associated with the normal bending, geodesic bending, and twisting of the constituent fibers.

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Acknowledgments

David J. Steigmann gratefully acknowledges his appointment as a Visiting Research Professor at the Università di Roma ‘La Sapienza’ during the course of this research. He is also grateful for support provided by the Powley Fund for Ballistics Research.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA

    David J. Steigmann

  2. International Research Center for Mathematics and Mechanics of Complex Systems, Università dell’Aquila, 04012, Cisterna di Latina, Italy

    David J. Steigmann & Francesco dell’Isola

  3. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma ‘La Sapienza’, 00184, Rome, Italy

    Francesco dell’Isola

Authors
  1. David J. Steigmann
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  2. Francesco dell’Isola
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Correspondence to David J. Steigmann.

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Dedicated to the memory of Chien Wei-Zang.

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Steigmann, D.J., dell’Isola, F. Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching. Acta Mech Sin 31, 373–382 (2015). https://doi.org/10.1007/s10409-015-0413-x

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  • DOI: https://doi.org/10.1007/s10409-015-0413-x

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