The structure of material forces in electromagnetic materials.
Trimarco, C. (2000)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Coupled fields generated by linear differential operators: electrodynamics of deformable continua”
The structure of material forces in electromagnetic materials.
Remarks on natural differential operators with tensor fields
Josef Janyška (2019)
Archivum Mathematicum
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We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations.
Principle of conservation of momentum, angular momentum and energy for a deformable continuum in an electromagnetic field
M. Kopisz (1991)
Applicationes Mathematicae
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Coupled fields in a piezoelectric body
M. Kopisz (1991)
Applicationes Mathematicae
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On Cauchy's stress theorem
Miroslav Šilhavŷ (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this work a new proof of the theorem of Cauchy on the existence of the stress tensor is given which does not use the tetrahedron argument.
Elementary preamble to a theory of granular gases
Gianfranco Capriz (2003)
Rendiconti del Seminario Matematico della Università di Padova
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Non-local continuum thermodynamic extensions of crystal plasticity to include the effects of geometrically-necessary dislocations on the material behaviour.
Svendsen, B. (2000)
Rendiconti del Seminario Matematico
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Are continuous distributions of inhomogeneities in liquid crystals possible?
Epstein, M. (2000)
Rendiconti del Seminario Matematico
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Molecular modelling of stresses and deformations in nanostructured materials
Gwidon Szefer (2004)
International Journal of Applied Mathematics and Computer Science
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A molecular dynamics approach to the deformation and stress analysis in structured materials is presented. A new deformation measure for a lumped mass system of points is proposed. In full consistency with the continuum mechanical description, three kinds of stress tensors for the discrete system of atoms are defined. A computer simulation for a set of 10^5 atoms forming a sheet undergoing tension (Case 1) and contraction (Case 2) is given. Characteristic microstress distributions evoked...
Note on a mixed variational principle in finite elasticity
Gérard A. Maugin, Carmine Trimarco (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the present context the variation is performed keeping the deformed configuration fixed while a suitable material stress tensor and the material coordinates are required to vary independently. The variational principle turns out to be equivalent to an equilibrium problem of placements and tractions prescribed at the boundary of a body of finite extent.