Homogenization of 1D and 2D magnetoelastic lattices
This paper investigates the equivalent in-plane mechanical properties of one dimensional (1D) and two dimensional (2D), periodic magneto-elastic lattices. A lumped parameter model describes the lattices using magnetic dipole moments in combination with axial and torsional springs. The homogenization...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2015-01-01
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| Series: | EPJ Applied Metamaterials |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1051/epjam/2015013 |
| _version_ | 1818910767290777600 |
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| author | Schaeffer Marshall Ruzzene Massimo |
| author_facet | Schaeffer Marshall Ruzzene Massimo |
| author_sort | Schaeffer Marshall |
| collection | DOAJ |
| description | This paper investigates the equivalent in-plane mechanical properties of one dimensional (1D) and two dimensional (2D), periodic magneto-elastic lattices. A lumped parameter model describes the lattices using magnetic dipole moments in combination with axial and torsional springs. The homogenization procedure is applied to systems linearized about stable configurations, which are identified by minimizing potential energy. Simple algebraic expressions are derived for the properties of 1D structures. Results for 1D lattices show that a variety of stiffness changes are possible through reconfiguration, and that magnetization can either stiffen or soften a structure. Results for 2D hexagonal and re-entrant lattices show that both reconfigurations and magnetization have drastic effects on the mechanical properties of lattice structures. Lattices can be stiffened or softened and the Poisson’s ratio can be tuned. Furthermore for certain hexagonal lattices the sign of Poisson’s ratio can change by varying the lattice magnetization. In some cases presented, analytical and numerically estimated equivalent properties are validated through numerical simulations that also illustrate the unique characteristics of the investigated configurations. |
| first_indexed | 2024-12-19T22:48:02Z |
| format | Article |
| id | doaj.art-2f2e990da6a6401dbb0e164d93eb5245 |
| institution | Directory Open Access Journal |
| issn | 2272-2394 |
| language | English |
| last_indexed | 2024-12-19T22:48:02Z |
| publishDate | 2015-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Applied Metamaterials |
| spelling | doaj.art-2f2e990da6a6401dbb0e164d93eb52452022-12-21T20:02:54ZengEDP SciencesEPJ Applied Metamaterials2272-23942015-01-0121310.1051/epjam/2015013epjam150017Homogenization of 1D and 2D magnetoelastic latticesSchaeffer MarshallRuzzene MassimoThis paper investigates the equivalent in-plane mechanical properties of one dimensional (1D) and two dimensional (2D), periodic magneto-elastic lattices. A lumped parameter model describes the lattices using magnetic dipole moments in combination with axial and torsional springs. The homogenization procedure is applied to systems linearized about stable configurations, which are identified by minimizing potential energy. Simple algebraic expressions are derived for the properties of 1D structures. Results for 1D lattices show that a variety of stiffness changes are possible through reconfiguration, and that magnetization can either stiffen or soften a structure. Results for 2D hexagonal and re-entrant lattices show that both reconfigurations and magnetization have drastic effects on the mechanical properties of lattice structures. Lattices can be stiffened or softened and the Poisson’s ratio can be tuned. Furthermore for certain hexagonal lattices the sign of Poisson’s ratio can change by varying the lattice magnetization. In some cases presented, analytical and numerically estimated equivalent properties are validated through numerical simulations that also illustrate the unique characteristics of the investigated configurations.http://dx.doi.org/10.1051/epjam/2015013Magneto-elasticHomogenizationTunable propertiesReconfiguration |
| spellingShingle | Schaeffer Marshall Ruzzene Massimo Homogenization of 1D and 2D magnetoelastic lattices EPJ Applied Metamaterials Magneto-elastic Homogenization Tunable properties Reconfiguration |
| title | Homogenization of 1D and 2D magnetoelastic lattices |
| title_full | Homogenization of 1D and 2D magnetoelastic lattices |
| title_fullStr | Homogenization of 1D and 2D magnetoelastic lattices |
| title_full_unstemmed | Homogenization of 1D and 2D magnetoelastic lattices |
| title_short | Homogenization of 1D and 2D magnetoelastic lattices |
| title_sort | homogenization of 1d and 2d magnetoelastic lattices |
| topic | Magneto-elastic Homogenization Tunable properties Reconfiguration |
| url | http://dx.doi.org/10.1051/epjam/2015013 |
| work_keys_str_mv | AT schaeffermarshall homogenizationof1dand2dmagnetoelasticlattices AT ruzzenemassimo homogenizationof1dand2dmagnetoelasticlattices |