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  • Rovnice rovnováhy a okrajové podmínky pro sdružený magneto-elastický problém v konečných deformacích jsou uvedeny. Jsou odvozeny konstitutivní rovnice pro magneto-elastickou interakci pro stlačitelný a nestlačitelný magneto-elastický materiál, které jsou dále přizpůsobeny pro specifické aplikace nestlačitelného izotropního magneto-elastického materiálu. Konstitutivní rovnice jsou založeny na modifikované funkci volné energie, která kromě deformačního gradientu závisí i na vektoru hustoty magnetického toku jakožto nezávislé proměnné magnetického pole. Je ukázáno, jak lze implementovat konstitutivní rovnice do Comsol Multiphysics, což je otevřený MKP software vhodný pro sdružené úlohy. Numerické simulace několika jednodušších problémů jsou uvedeny. (cs)
  • The relevant magnetic and mechanical balance equations and boundary conditions for coupled magneto-mechanical problem in finite strains are summarized. The general constitutive equations for magnetoelastic interactions are derived for both compressible and incompressible magnetoelastic materials and then specialized for specific application to incompressible, isotropic magnetoelastic materials. The constitutive equations are based on a modified free-energy function that depends, in addition to the deformation gradient, on the magnetic flux density vector as the independent magnetic variable. An implementation of the constitutive equations in the finite element code Comsol Multiphysics is presented. Numerical simulations of some simple magneto-mechanic boundary problems are showed.
  • The relevant magnetic and mechanical balance equations and boundary conditions for coupled magneto-mechanical problem in finite strains are summarized. The general constitutive equations for magnetoelastic interactions are derived for both compressible and incompressible magnetoelastic materials and then specialized for specific application to incompressible, isotropic magnetoelastic materials. The constitutive equations are based on a modified free-energy function that depends, in addition to the deformation gradient, on the magnetic flux density vector as the independent magnetic variable. An implementation of the constitutive equations in the finite element code Comsol Multiphysics is presented. Numerical simulations of some simple magneto-mechanic boundary problems are showed. (en)
Title
  • Modelling of magnetosensitive elastomers
  • Modelling of magnetosensitive elastomers (en)
  • Modelování magnetosensitivních elastomerů (cs)
skos:prefLabel
  • Modelling of magnetosensitive elastomers
  • Modelling of magnetosensitive elastomers (en)
  • Modelování magnetosensitivních elastomerů (cs)
skos:notation
  • RIV/46747885:24210/08:#0000049!RIV09-MSM-24210___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4674788501)
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  • 379973
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  • RIV/46747885:24210/08:#0000049
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  • magnetosensitive, elastomer, constitutive equations, finite strains, FEM; composite (en)
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  • [FC232C29AC5C]
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  • Viena, Austria
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  • Recent advances in modelling and simulation
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  • Marvalová, Bohdana
http://linked.open...n/vavai/riv/zamer
number of pages
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  • I-Tech Education and publishing
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  • 978-3-902613-25-7
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  • 24210
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