Grigor Nika (Mathematics & Computer Science, Karlstad University, Sweden) - On some effective models for second-gradient theory
Séminaire mécanique des solides
Date: 2023-02-08 14:00
Lieu: Campus Jussieu, 55-65, Salle Paul Germain, 401
We derive effective models from a heterogeneous second-gradient nonlinear elastic material taking into account chiral scale-size effects. Our classification of the effective equations depends on the hierarchy of four characteristic lengths: The size of the heterogeneities, the intrinsic lengths of the constituents, and the overall characteristic length of the domain. Depending on the different scale interactions we obtain either an effective Cauchy continuum or an effective second-gradient continuum. The working technique combines scaling arguments with the periodic homogenization asymptotic procedure.
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- 2023-02-08 14:00