1,721,069 research outputs found
Junction in a Thin Multidomain for a Fourth Order Problem
No full textWe consider a thin multidomain of R^N, N ≥ 2, consisting (e.g. in a 3D setting) of
a vertical rod upon a horizontal disk. In this thin multidomain we introduce a bulk
energy density of the kind W(D^2 U), where W is a convex function with growth p ∈
]1,+∞[, and D^2 U denotes the Hessian tensor of a scalar (or vector-valued) function U.
By assuming that the two volumes tend to zero with the same rate, under suitable
boundary conditions, we prove that the limit model is well-posed in the union of the
limit domains, with dimensions, respectively, 1 and N − 1. Moreover, we show that the
limit problem is uncoupled if 1 < p ≤ N−1
2 , “partially” coupled if N−1
2 < p ≤ N − 1,
and coupled if N − 1 < p. The main result is applied in order to derive the equilibrium
configuration of two joint beams, T-shaped, clamped at the three endpoints and subject
to transverse loads. The main result is also applied in order to describe the equilibrium
configuration of a wire upon a thin film with contact at the origin, when the thin
structure is filled with a martensitic material
A Homogenization Problem in a Perforated Domain with Both Dirichlet and Neumann Conditions on the Boundary of the Holes
No full textAn Approach to the Homogenization of Nonlinear Elastomers in the Case of the Fixed Constraints Set.
No full text
An Approach to the Homogenization of Nonlinear Elastomers via the Theory of Unbounded Functionals
No full textAn Approach to the Homogenization of Nonlinear Elastomers in the Case of the Fixed Constraints Set.
No full textAn Approach to the Homogenization of Nonlinear Elastomers in the Case of the Fixed Constraints Set.
No full textAn Approach to the Homogenization of Nonlinear Elastomers via the Theory of Unbounded Functionals
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