Chirality in 2D Cosserat media related to stretch-micro-rotation coupling with links to granular micromechanics
Cosserat continuum model has attracted increasing interest for describing the mechanical behavior of microstructured solids. Existing formulation of Cosserat continuum model often overlooks chiral effects that arise from coupling between stretching deformations and the micro-rotation. Here, we intro...
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| Published in | International journal of solids and structures Vol. 202; pp. 28 - 38 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Ltd
01.10.2020
Elsevier BV Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 1879-2146 |
| DOI | 10.1016/j.ijsolstr.2020.06.005 |
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| Abstract | Cosserat continuum model has attracted increasing interest for describing the mechanical behavior of microstructured solids. Existing formulation of Cosserat continuum model often overlooks chiral effects that arise from coupling between stretching deformations and the micro-rotation. Here, we introduce an extended Cosserat model that accounts for such a coupling. We discover the links of the extended model to the mechanics of granular materials and identify the continuum and grain-scale parameters that are the source of postulated chirality. The micro-rotation is shown to be related to the coupling of shear and normal responses of grain-pair interactions. The consequences of this chirality are then explicated with the aid of numerical examples. Through parametric studies we also demonstrate the possibility of measuring the effects of this type of chirality in experiments. |
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| AbstractList | Cosserat continuum model has attracted increasing interest for describing the mechanical behavior of microstructured solids. Existing formulation of Cosserat continuum model often overlooks chiral effects that arise from coupling between stretching deformations and the micro-rotation. Here, we introduce an extended Cosserat model that accounts for such a coupling. We discover the links of the extended model to the mechanics of granular materials and identify the continuum and grain-scale parameters that are the source of postulated chirality. The micro-rotation is shown to be related to the coupling of shear and normal responses of grain-pair interactions. The consequences of this chirality are then explicated with the aid of numerical examples. Through parametric studies we also demonstrate the possibility of measuring the effects of this type of chirality in experiments. |
| Author | Giorgio, Ivan dell'Isola, Francesco Misra, Anil |
| Author_xml | – sequence: 1 givenname: Ivan orcidid: 0000-0002-0044-9188 surname: Giorgio fullname: Giorgio, Ivan organization: Dipartimento di Ingegneria Civile, Edile-Architettura e Ambientale and MEMOCS, Università degli Studi dellAquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100 LAquila, Italy – sequence: 2 givenname: Francesco surname: dell'Isola fullname: dell'Isola, Francesco organization: DISG Università di Roma La Sapienza, Italy – sequence: 3 givenname: Anil orcidid: 0000-0002-9761-2358 surname: Misra fullname: Misra, Anil email: amisra@ku.edu organization: Civil, Environmental and Architectural Engineering Department, University of Kansas, 1530 W. 15th Street, Learned Hall, Lawrence, KS 66045-7609, USA |
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| Keywords | Chiral media Granular micromechanics Numerical modeling Stretch-micro-rotation coupling Cosserat continua |
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| References | Misra, Poorsolhjouy (b0165) 2017; 81 Spencer (b0205) 2004 Misra, Nejadsadeghi, De Angelo, Placidi (b0160) 2020 Egami, Fan, Iwashita (b0080) 2017 Reasa, Lakes (b0185) 2019 Turco, dell'Isola, Misra (b0215) 2019; 43 Altenbach, Altenbach, Eremeyev (b0015) 2010; 80 Misra (b0130) 1998 Andreaus, Spagnuolo, Lekszycki, Eugster (b0020) 2018; 30 Auffray, Dirrenberger, Rosi (b0025) 2015; 69 Ha, Plesha, Lakes (b0110) 2016; 253 Misra, Poorsolhjouy (b0145) 2015; 3 Spagnuolo, Peyre, Dupuy (b0200) 2019; 101 Liu, Hu (b0125) 2016; 62 dell'Isola, Maier, Perego, Andreaus, Esposito, Forest (b0075) 2014 Abdoul-Anziz, Seppecher (b0005) 2018; 6 Poncelet, Somera, Morel, Jailin, Auffray (b0175) 2018; 147 Seppecher, Alibert, dell'Isola (b0195) 2011; 319 Berkache, Deogekar, Goda, Picu, Ganghoffer (b0040) 2019; 31 Misra, Poorsolhjouy (b0155) 2016; 28 Lemaître, Maloney (b0120) 2006; 123 Chen, Liu, Hu, Sun, Zheng (b0045) 2014; 470 Richefeu, Combe, Viggiani (b0190) 2012; 2 Alibert, Seppecher, Dell’Isola (b0010) 2003; 8 Wang (b0220) 2018 Misra, Placidi, Turco (b0140) 2018 Misra, Jiang (b0135) 1997; 20 dell’Isola, Giorgio, Pawlikowski, Rizzi (b0065) 2016; 472 Barchiesi, Placidi (b0035) 2017 Giorgio, Rizzi, Turco (b0100) 2017; 473 Poorsolhjouy, Misra (b0180) 2019; 129 dell’Isola, Seppecher, Alibert, Lekszycki, Grygoruk, Pawlikowski, Hild (b0070) 2018; 31 Cosserat, Cosserat (b0050) 1909 dell’Isola, Andreaus, Placidi (b0060) 2015; 20 Goda, Assidi, Ganghoffer (b0105) 2012; 15 Lakes (b0115) 2001; 43 Nejadsadeghi, Misra (b0170) 2019 Frenzel, Kadic, Wegener (b0095) 2017; 358 Turco, Misra, Pawlikowski, Dell’Isola, Hild (b0210) 2018 De Angelo, Placidi, Nejadsadeghi, Misra (b0055) 2019 Eremeyev, Pietraszkiewicz (b0085) 2016; 21 Barchiesi, Ganzosch, Liebold, Placidi, Grygoruk, Müller (b0030) 2019; 31 Misra, Poorsolhjouy (b0150) 2016; 143 Eugster, dell'Isola (b0090) 2017; 97 Egami (10.1016/j.ijsolstr.2020.06.005_b0080) 2017 Alibert (10.1016/j.ijsolstr.2020.06.005_b0010) 2003; 8 Misra (10.1016/j.ijsolstr.2020.06.005_b0160) 2020 Barchiesi (10.1016/j.ijsolstr.2020.06.005_b0035) 2017 Lakes (10.1016/j.ijsolstr.2020.06.005_b0115) 2001; 43 Auffray (10.1016/j.ijsolstr.2020.06.005_b0025) 2015; 69 Poncelet (10.1016/j.ijsolstr.2020.06.005_b0175) 2018; 147 Goda (10.1016/j.ijsolstr.2020.06.005_b0105) 2012; 15 Liu (10.1016/j.ijsolstr.2020.06.005_b0125) 2016; 62 Spagnuolo (10.1016/j.ijsolstr.2020.06.005_b0200) 2019; 101 Eugster (10.1016/j.ijsolstr.2020.06.005_b0090) 2017; 97 Giorgio (10.1016/j.ijsolstr.2020.06.005_b0100) 2017; 473 Spencer (10.1016/j.ijsolstr.2020.06.005_b0205) 2004 dell'Isola (10.1016/j.ijsolstr.2020.06.005_b0075) 2014 Frenzel (10.1016/j.ijsolstr.2020.06.005_b0095) 2017; 358 Misra (10.1016/j.ijsolstr.2020.06.005_b0135) 1997; 20 Misra (10.1016/j.ijsolstr.2020.06.005_b0145) 2015; 3 dell’Isola (10.1016/j.ijsolstr.2020.06.005_b0060) 2015; 20 Turco (10.1016/j.ijsolstr.2020.06.005_b0210) 2018 Cosserat (10.1016/j.ijsolstr.2020.06.005_b0050) 1909 De Angelo (10.1016/j.ijsolstr.2020.06.005_b0055) 2019 Turco (10.1016/j.ijsolstr.2020.06.005_b0215) 2019; 43 Abdoul-Anziz (10.1016/j.ijsolstr.2020.06.005_b0005) 2018; 6 Eremeyev (10.1016/j.ijsolstr.2020.06.005_b0085) 2016; 21 Richefeu (10.1016/j.ijsolstr.2020.06.005_b0190) 2012; 2 Seppecher (10.1016/j.ijsolstr.2020.06.005_b0195) 2011; 319 Misra (10.1016/j.ijsolstr.2020.06.005_b0140) 2018 Misra (10.1016/j.ijsolstr.2020.06.005_b0165) 2017; 81 Reasa (10.1016/j.ijsolstr.2020.06.005_b0185) 2019 Lemaître (10.1016/j.ijsolstr.2020.06.005_b0120) 2006; 123 Andreaus (10.1016/j.ijsolstr.2020.06.005_b0020) 2018; 30 Misra (10.1016/j.ijsolstr.2020.06.005_b0130) 1998 Misra (10.1016/j.ijsolstr.2020.06.005_b0150) 2016; 143 Chen (10.1016/j.ijsolstr.2020.06.005_b0045) 2014; 470 Nejadsadeghi (10.1016/j.ijsolstr.2020.06.005_b0170) 2019 Barchiesi (10.1016/j.ijsolstr.2020.06.005_b0030) 2019; 31 Poorsolhjouy (10.1016/j.ijsolstr.2020.06.005_b0180) 2019; 129 Ha (10.1016/j.ijsolstr.2020.06.005_b0110) 2016; 253 Berkache (10.1016/j.ijsolstr.2020.06.005_b0040) 2019; 31 dell’Isola (10.1016/j.ijsolstr.2020.06.005_b0065) 2016; 472 dell’Isola (10.1016/j.ijsolstr.2020.06.005_b0070) 2018; 31 Misra (10.1016/j.ijsolstr.2020.06.005_b0155) 2016; 28 Wang (10.1016/j.ijsolstr.2020.06.005_b0220) 2018 Altenbach (10.1016/j.ijsolstr.2020.06.005_b0015) 2010; 80 |
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| Snippet | Cosserat continuum model has attracted increasing interest for describing the mechanical behavior of microstructured solids. Existing formulation of Cosserat... |
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| SubjectTerms | Chiral media Chirality Continuum modeling Cosserat continua Coupling Deformation effects Granular materials Granular micromechanics Mechanical properties Mechanics Micromechanics Numerical modeling Parameter identification Physics Rotation Solid mechanics Stretch-micro-rotation coupling |
| Title | Chirality in 2D Cosserat media related to stretch-micro-rotation coupling with links to granular micromechanics |
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