Composite materials

Our interest in composite theory is mainly on the analytical derivation of higher-order theories via homogenization of heterogeneous materials. In this field, for the first time, we have related the microstructure of a Cauchy elastic material to the behaviour of a homogeneous Cosserat material, finding analytical -but simple- expressions, relating the microstructure geometry to the length scale parameters.

For the first time, we have related the microstructure of a linear interface to the behaviour of a nonlocal interface model, thus relating the nonlocality parameters to the geometry of the interface.

Related papers:

• M. Bacca, F. Dal Corso, D. Veber and D. Bigoni Anisotropic effective higher-order response of heterogeneous Cauchy elastic materials.
  Mechanics Research Communications, 2013, 54, 63-71.
• M. Bacca, D. Bigoni, F. Dal Corso, and D. Veber Mindlin second-gradient elastic properties from dilute two-phase Cauchy-elastic composites. Part I: Closed form expression for the effective higher-order constitutive tensor.
  International Journal of Solids and Structures, 2013, 50(24), 4010-4019.
• M. Bacca, D. Bigoni, F. Dal Corso, and D. Veber Mindlin second-gradient elastic properties from dilute two-phase Cauchy-elastic composites Part II: Higher-order constitutive properties and application cases.
  International Journal of Solids and Structures, 2013, 50(24), 4020-4029.
• D. Bigoni and W.J. Drugan, Analytical derivation of Cosserat moduli via homogenization of heterogeneous elastic materials.
  Journal of Applied Mechanics, 2007, 74(3), 1-13.
• K. Bertoldi, D. Bigoni and W.J. Drugan, Structural interfaces in linear elasticity. Part I: Nonlocality and gradient approximations.
  Journal of the Mechanics and Physics of Solids, 2007, 55(1), 1-34.
• K. Bertoldi, D. Bigoni and W.J. Drugan, Structural interfaces in linear elasticity. Part II: Effective properties and neutrality.
  Journal of the Mechanics and Physics of Solids, 2007, 55(1), 35-63.
• D. Bigoni, S.K. Serkov, A.B. Movchan and M. Valentini, Asymptotic models of dilute composites with imperfectly bonded inclusions.
  International Journal of Solids and Structures, 1998, 35 (24), 3239-3258.

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