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[PDF] Top 20 The Periodic Unfolding Method in Homogenization

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The Periodic Unfolding Method in Homogenization

The Periodic Unfolding Method in Homogenization

... The same dilation operator was used by Bourgeat, Luckhaus, and Mikelic in [16] under the name of “periodic modulation.” Proposition 4.6 of [16] showed that if a sequence two-scale conver[r] ... Voir le document complet

37

Precised approximations in elliptic homogenization beyond the periodic setting

Precised approximations in elliptic homogenization beyond the periodic setting

... emphasize in the present contribution is that the results of [1, 25] of the periodic setting indeed carry over not only to the perturbed periodic setting, but also to a ... Voir le document complet

37

Analysis of the projector augmented-wave method for electronic structure calculations in periodic settings

Analysis of the projector augmented-wave method for electronic structure calculations in periodic settings

... wave method Abstract This thesis is devoted to the study of the PAW method (projector augmented-wave) and of a variant called the variational PAW method ...accelerate the ... Voir le document complet

203

3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method

3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method

... For the sake of comparison, the same test case has been performed with different homogenized ...[1], the optimal design for such laminates has also been computed. For the sake of brevity, ... Voir le document complet

44

Homogenization via unfolding in domains separated by the thin layer of the thin beams

Homogenization via unfolding in domains separated by the thin layer of the thin beams

... with periodic heterogeneous structure appear in many engineer- ing and material sciences, where special constraints on stiffness or strength of technical textiles or composites are required, depending on ... Voir le document complet

28

The periodic unfolding for a Fredholm alternative in perforated domains

The periodic unfolding for a Fredholm alternative in perforated domains

... The periodic unfolding for a Fredholm alternative in perforated domains D. Cioranescu 1 , A. Damlamian 2 , G. Griso 3 1,3 Laboratoire J.-L. Lions–CNRS, Boˆıte courrier 187, Universit´ e ... Voir le document complet

20

Topology optimization of modulated and oriented periodic microstructures by the homogenization method

Topology optimization of modulated and oriented periodic microstructures by the homogenization method

... in the loading areas. Moreover, the final compliance 2.141 for the locally peri- odic square cells case is closed to the optimal one ...laminates: the difference is less than ... Voir le document complet

55

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

Numerical investigation of necking in perforated sheets using the periodic homogenization approach

... of the macroscopic boundary conditions In order to investigate the effect of the macroscopic boundary conditions on the mechanical behavior (stress–strain curves and ductility limits) ... Voir le document complet

46

Homogenization via unfolding in periodic layer with contact

Homogenization via unfolding in periodic layer with contact

... gives the geometric setting for the ε-periodic problem, including the unit ...cell. In Section 3 we give inequalities related to the unfolding operator on the ... Voir le document complet

20

Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations

Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations

... considered in this paper—approximation of the homogenized effective quan- tities by the effective quantities for periodic problems—is a classical ...by periodic problems as a way to ... Voir le document complet

24

The periodic unfolding method in perforated domains

The periodic unfolding method in perforated domains

... Recently, the periodic unfolding method was introduced in [4] by ...for the study of classical periodic homogenization in the case of fixed ...This ... Voir le document complet

28

There is no variational characterization of the cycles in the method of periodic projections

There is no variational characterization of the cycles in the method of periodic projections

... Abstract The method of periodic projections consists in iterating projections onto m closed convex subsets of a Hilbert space according to a periodic sweeping ...strategy. In ... Voir le document complet

11

Homogenization Results for a Deterministic Multi-domains Periodic Control Problem

Homogenization Results for a Deterministic Multi-domains Periodic Control Problem

... are in a situation which is analogue to Case 1 above but we remark that, for the trajectory, the cost to go from 0 to 1 and then from 1 to 2 [or from 0 to −1 and then from −1 to −2] is strictly ... Voir le document complet

35

An introduction to the two-scale homogenization method for seismology

An introduction to the two-scale homogenization method for seismology

... of the non-periodic homogenization is the inverse ...that the solution of the full waveform inverse problem is, at best, the homogenized version of the true ...for ... Voir le document complet

82

Second order homogenization of the elastic wave equation for non-periodic layered media

Second order homogenization of the elastic wave equation for non-periodic layered media

... used. In the tomography seismic imag- ing field, different research groups obtain different seismic velocity models of the same region ...(e.g. the Earth) at different resolution lengths. ... Voir le document complet

17

2D core calculation based on the method of dynamic homogenization

2D core calculation based on the method of dynamic homogenization

... on the two-step ap- proach, where the homogenized cross-sections of an assembly type are pre-calculated for different physical parameters using the critical-leakage model, and then interpolated to ... Voir le document complet

11

An hybrid Tykhonov method for neutron spectrum unfolding

An hybrid Tykhonov method for neutron spectrum unfolding

... 3.1. Unfolding a thermal neutron spectrum from the Sigma installation This thermal neutron spectrum is produced near the Sigma facility at (IRSN- Cadarache), it consists of an assembling of several ... Voir le document complet

20

Homogenization of contact problem with Coulomb's friction on periodic cracks

Homogenization of contact problem with Coulomb's friction on periodic cracks

... that the Coulomb-friction problem admits solutions for every fixed ...estimates in terms of the powers of the small parameter, related to the period of the structure, using ... Voir le document complet

26

Optimization of oriented and parametric cellular structures by the homogenization method

Optimization of oriented and parametric cellular structures by the homogenization method

... of the periodic cells is not trivial and there is a large literature [7] about optimization of periodic cells to achieve some mechanical ...than periodic cellular structures, since mechanical ... Voir le document complet

9

Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials

Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials

... Abstract The current work deals with periodic thermomechanical composite media, in which the material constituents are considered to obey the generalized standard materials ...laws. ... Voir le document complet

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