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Displaying 2301 –
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2633
The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the “locking” effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.
We present a model of the full thermo-mechanical evolution of a shape memory body undergoing a uniaxial tensile stress. The well-posedness of the related quasi-static thermo-inelastic problem is addressed by means of hysteresis operators techniques. As a by-product, details on a time-discretization of the problem are provided.
We present a phase field approach to wetting problems, related to
the minimization of capillary energy. We discuss in detail both
the Γ-convergence results on which our numerical algorithm
are based, and numerical implementation. Two possible choices of
boundary conditions, needed to recover Young's law for the contact
angle, are presented. We also consider an extension of the
classical theory of capillarity, in which the introduction of a
dissipation mechanism can explain and predict the hysteresis...
We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
Microstructures in phase-transitions of alloys are modeled by the energy minimization of a nonconvex energy density . Their time-evolution leads to a nonlinear wave equation with the non-monotone stress-strain relation plus proper boundary and initial conditions. This hyperbolic-elliptic initial-boundary value problem of changing types allows, in general, solely Young-measure solutions. This paper introduces a fully-numerical time-space discretization of this equation in a corresponding very...
Microstructures in phase-transitions of alloys are modeled by the
energy minimization of a nonconvex energy density ϕ. Their
time-evolution leads to a nonlinear wave equation
with the non-monotone stress-strain relation
plus proper boundary and initial conditions. This hyperbolic-elliptic
initial-boundary value problem of changing types allows, in general,
solely Young-measure solutions. This paper introduces a
fully-numerical time-space discretization of this equation in a
corresponding...
The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and
combining the bulk (volume distributed) energy and the surface
energy distributed on the perforation boundary. It is assumed that the mean value
of surface energy at each level set of test function is equal to
zero.
Under natural coercivity and p-growth assumptions on the bulk energy, and the assumption that the surface energy satisfies p-growth upper bound,...
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