Free Access
Volume 16, Number 1, January-March 2010
Page(s) 92 - 110
Published online 21 October 2008
  1. I. Aganović, J. Tambača and Z. Tutek, Derivation and justification of the models of rods and plates from linearized three-dimensional micropolar elasticity. J. Elasticity 84 (2006) 131–152. [CrossRef] [MathSciNet] [Google Scholar]
  2. A. Ambrosetti and G. Prodi, A Primer of Nonlinear Analysis. Cambridge University Press, Cambridge (1993). [Google Scholar]
  3. J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63 (1976/1977) 337–403. [Google Scholar]
  4. P.G. Ciarlet, Mathematical elasticity – Volume I: Three-dimensional elasticity. North-Holland Publishing Co., Amsterdam (1988). [Google Scholar]
  5. E. Cosserat and F. Cosserat, Théorie des corps déformables. Librairie Scientifique A. Hermann et Fils [Theory of deformable bodies], Paris (1909). [Google Scholar]
  6. B. Dacorogna, Direct methods in the calculus of variations. Springer-Verlag, Berlin (1989). [Google Scholar]
  7. A.C. Eringen, Microcontinuum Field Theories – Volume 1: Foundations and Solids. Springer-Verlag, New York (1999). [Google Scholar]
  8. G.B. Folland, Real analysis, Modern techniques and their applications. John Wiley & Sons, Inc., New York (1984). [Google Scholar]
  9. I. Hlaváček and M. Hlaváček, On the existence and uniqueness of solution and some variational principles in linear theories of elasticity with couple-stresses. I. Cosserat continuum. Appl. Math. 14 (1969) 387–410. [Google Scholar]
  10. J. Jeong and P. Neff, Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditions. Math. Mech. Solids (2008) DOI: 10.1177/1081286508093581. Preprint 2550 available at [Google Scholar]
  11. P.M. Mariano and G. Modica, Ground states in complex bodies. ESAIM: COCV (2008) published online, DOI: 10.1051/cocv:2008036. [EDP Sciences] [Google Scholar]
  12. N.G. Meyers, Quasi-convexity and lower semi-continuity of multiple variational integrals of any order. Trans. Amer. Math. Soc. 119 (1965) 125–149. [CrossRef] [MathSciNet] [Google Scholar]
  13. P. Neff, On Korn's first inequality with nonconstant coefficients. Proc. R. Soc. Edinb. Sect. A 132 (2002) 221–243. [Google Scholar]
  14. P. Neff, Existence of minimizers for a geometrically exact Cosserat solid. Proc. Appl. Math. Mech. 4 (2004) 548–549. [CrossRef] [Google Scholar]
  15. P. Neff, A geometrically exact Cosserat-shell model including size effects, avoiding degeneracy in the thin shell limit, Part I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus. Cont. Mech. Thermodynamics 16 (2004) 577–628. [CrossRef] [Google Scholar]
  16. P. Neff, The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric. Z. Angew. Math. Mech. 86 (2006) 892–912. Preprint 2409 available at [CrossRef] [MathSciNet] [Google Scholar]
  17. P. Neff, Existence of minimizers for a finite-strain micromorphic elastic solid. Proc. Roy. Soc. Edinb. A 136 (2006) 997–1012. Preprint 2318 available at [CrossRef] [Google Scholar]
  18. P. Neff, A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations. Int. J. Eng. Sci. 44 (2006) 574–594. [CrossRef] [Google Scholar]
  19. P. Neff, A geometrically exact planar Cosserat shell-model with microstructure. Existence of minimizers for zero Cosserat couple modulus. Math. Meth. Appl. Sci. 17 (2007) 363–392. Preprint 2357 available at [CrossRef] [Google Scholar]
  20. P. Neff and K. Chelminski, A geometrically exact Cosserat shell-model for defective elastic crystals. Justification via Formula -convergence. Interfaces Free Boundaries 9 (2007) 455–492. [CrossRef] [MathSciNet] [Google Scholar]
  21. P. Neff and S. Forest, A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results. J. Elasticity 87 (2007) 239–276. [CrossRef] [MathSciNet] [Google Scholar]
  22. P. Neff and I. Münch, Curl bounds Grad on SO(3). ESAIM: COCV 14 (2008) 148–159. Preprint 2455 available at [CrossRef] [EDP Sciences] [Google Scholar]
  23. W. Nowacki, Theory of asymmetric elasticity. Oxford, Pergamon (1986). [Google Scholar]
  24. W. Pompe, Korn's first inequality with variable coefficients and its generalizations. Commentat. Math. Univ. Carolinae 44 (2003) 57–70. [Google Scholar]
  25. J. Tambača and I. Velčić, Derivation of a model of nonlinear micropolar plate. (Submitted). [Google Scholar]

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