Discrete versus homogenized continuum modeling in finite deformation bias extension test of bi-pantographic fabrics
A 2D-continuum model describing finite deformations in plane of discrete bi-pantographic fabrics has been recently obtained by applying an asymptotic procedure based on a set of local generalized coordinates. Rectangular bi-pantographic prototypes were additively manufactured by selective laser sint...
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Published in | Continuum mechanics and thermodynamics Vol. 35; no. 3; pp. 863 - 876 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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01.05.2023
Springer Springer Nature B.V |
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Abstract | A 2D-continuum model describing finite deformations in plane of discrete bi-pantographic fabrics has been recently obtained by applying an asymptotic procedure based on a set of local generalized coordinates. Rectangular bi-pantographic prototypes were additively manufactured by selective laser sintering using polyamide as raw material. Displacement-controlled bias extension tests were performed on such specimens for total elastic deformations up to ca. 25%. Experimental force measurements, complemented by discrete displacement measurements obtained by local digital image correlation, were used to fit the continuum model. In the present paper, a global and minimal set of generalized coordinates, alternative to the one used for the homogenization, is introduced for the discrete model. The mechanical constitutive parameters appearing in the discrete model are then found by means of collected experimental data. Finally, a comparison between experiments, the discrete and the continuum model is presented. It is concluded that (a) the discrete model and the experimental data are in excellent agreement, and that (b) the continuum retains the relevant phenomenology of the discrete system even for a rather low number of cells. |
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AbstractList | A 2D-continuum model describing finite deformations in plane of discrete bi-pantographic fabrics has been recently obtained by applying an asymptotic procedure based on a set of local generalized coordinates. Rectangular bi-pantographic prototypes were additively manufactured by selective laser sintering using polyamide as raw material. Displacement-controlled bias extension tests were performed on such specimens for total elastic deformations up to ca. 25%. Experimental force measurements, complemented by discrete displacement measurements obtained by local digital image correlation, were used to fit the continuum model. In the present paper, a global and minimal set of generalized coordinates, alternative to the one used for the homogenization, is introduced for the discrete model. The mechanical constitutive parameters appearing in the discrete model are then found by means of collected experimental data. Finally, a comparison between experiments, the discrete and the continuum model is presented. It is concluded that (a) the discrete model and the experimental data are in excellent agreement, and that (b) the continuum retains the relevant phenomenology of the discrete system even for a rather low number of cells. |
Audience | Academic |
Author | Eugster, S. R. Harsch, J. Barchiesi, E. Ganzosch, G. |
Author_xml | – sequence: 1 givenname: E. orcidid: 0000-0002-7296-0671 surname: Barchiesi fullname: Barchiesi, E. email: BarchiesiEmilio@gmail.com organization: Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza”, International Research Center M&MoCS, Università degli Studi dell’Aquila – sequence: 2 givenname: J. surname: Harsch fullname: Harsch, J. organization: Institute for Nonlinear Mechanics, University of Stuttgart – sequence: 3 givenname: G. surname: Ganzosch fullname: Ganzosch, G. organization: Institut für Mechanik, TU Berlin – sequence: 4 givenname: S. R. surname: Eugster fullname: Eugster, S. R. organization: International Research Center M&MoCS, Università degli Studi dell’Aquila, Institute for Nonlinear Mechanics, University of Stuttgart |
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Keywords | Discrete spring models Experimental mechanics Additive manufacturing Second gradient continua Bi-pantographic fabrics |
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Snippet | A 2D-continuum model describing finite deformations in plane of discrete bi-pantographic fabrics has been recently obtained by applying an asymptotic procedure... |
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SubjectTerms | Additive manufacturing Analysis Asymptotic methods Bias Classical and Continuum Physics Continuum modeling Deformation Digital imaging Discrete systems Elastic deformation Engineering Thermodynamics Experimental data Fabrics Force measurement Heat and Mass Transfer Homogenization Laser sintering Original Article Phenomenology Physics Physics and Astronomy Polyamide resins Polyamides Raw materials Structural Materials Theoretical and Applied Mechanics Two dimensional models |
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Title | Discrete versus homogenized continuum modeling in finite deformation bias extension test of bi-pantographic fabrics |
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