GENERALIZED CONTINUUM MECHANICS

source

Sergej Flach's Discrete Breather Homepage (Max-Planck-Institut für Physik komplexer Systeme, Dresden) Intrinsic Localized Modes (Cornell University) LOCNET: Localisation by Nonlinearity and Spatial Discreteness, and Energy Transfer, in Crystals, Biomolecules and Josephson Arrays

AUXETNET: Auxetics in Action Auxetic materials research groups. Papers on negative Poisson's ratio phenomena. [Denis Konyok] Auxetic Materials - Applications Negative thermal expansion Auxetics, 2010

• Algebraic Formulation of Physical Fields. Homepages: Enzo Tonti; Francesca Cosmi; Claudio Mattiussi
• TMR Network on Phase Transitions in Crystalline Solids
• DE.F.I.NO: Deformation and fracture instabilities in novel materials and processes
• Rigid Unit Modes [Martin Dove]

• Paolo M. Mariano (University of Florence, Italy)
• Roderic Lakes (University of Wisconsin) Cosserat Elasticity, Chiral Cosserat solids, etc.
• Norman A. Fleck. Cambridge Centre for Micromechanics (CCM)
• Sia Nemat-Nasser. Center of Excellence for Advanced Materials (CEAM)
• Samuel Forest (Centre des Matériaux, France) Publications
• Hans Mühlhaus Publications
• Zdenek P. Bazant: List of publications (Northwestern University, USA)
• Nicolas Triantafyllidis Publications
• John W. Hutchinson

• Gerard A. Maugin Generalized Continuum Mechanics: Three Paths [pdf]
• P.G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop and E. S. Titi A continum approach to discreteness, Physical Review E, 65 (2002), no. 4, 046613. [pdf] , [ps]
• R.H.J. Peerlings, M.G.D. Geers, R. de Borst, W.A.M. Brekelmans, A critical comparison of nonlocal and gradient-enhanced softening continua, Int. J. Solids Structures, 38, 7723-7746, (2001) [html]
• Martin Ostoja-Starzewski Lattice models in micromechanics Appl. Mech. Rev. 55(1), 35-60, 2002. [pdf]

Multi-field solitons: We construct multi-field generalized continuum models to obtain them. Usually solitons are described by a single continuous function. The N-field soliton is described by N field functions.

==========================================

• Vasiliev A.A. The multi-field approach in modelling stability of a cylindrical shell stiffened with frames at external pressure. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, N 4 (1994) 71-74 (in Russian). [ Moscow University Mechanics Bulletin. Vol. 49, N 49, pp. 71-74, 1994 (in English) [.pdf, 178Kb] ]
• Vasiliev A.A. Continual modeling of two-row finite discrete system deformation with regard for boundary effects. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, N 5, (1996) 66-68 (in Russian). [ Moscow University Mechanics Bulletin. Vol. 51, N 5, pp. 44-46, 1996 (in English) [.pdf, 129Kb]]
• Vasiliev A.A., Miroshnichenko A.E. Multi-field modelling of Cosserat solids. Journal of the Mechanical Behavior of Materials 16(6), 379-392 (2005); arXiv: cond-mat/0305460 [*.pdf]
• Vasiliev A.A., Dmitriev S.V., Miroshnichenko A.E. Multi-field continuum theory for medium with microscopic rotations. International Journal of Solids and Structures, 42 (24-25), 6245-6260 (2005), [abstract]; arXiv: nlin.ps/0406028 [*.pdf]
• Vasiliev A.A., Miroshnichenko A.E., Ruzzene M. Multi-field model for Cosserat media Journal of Mechanics of Materials and Structures. Vol. 3 (2008), No. 7, 1365-1382 Abstract arXiv: cond-mat/0803.0372 [*.pdf]
• Miroshnichenko A.E., Vasiliev A.A. Multi-field modelling of short wavelength deformations for Cosserat solids Proceedings of the XXII International Congress of Theoretical and Applied Mechanics (XXII ICTAM 2008), 24-29 August 2008, Adelaide, Australia, J. Denier, M.D. Finn, and T Mattner (editors), Article 10926, ISBN 978-0-9805142-1-6 [.pdf, 123Kb]
• Review Article:
• Vasiliev A.A., Dmitriev S.V., Miroshnichenko A.E. Multi-field approach in mechanics of structural solids International Journal of Solids and Structures 47 (2010) 510-525 [ Abstract] [ Article Outline ]; arXiv: arxiv.org/abs/0906.5240 [*.pdf]

To see this medium in animated form click here