FORMULATION VARIATIONNELLE PDF

Pour citer cet article : A. Le van, T. Nguyen, C. Mecanique A variational relationship is proposed as the weak form of the large deformation contact problem with Coulomb friction.

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Toggle navigation. Have you forgotten your login? Seddiq Hassani 1 Details. Seddiq Hassani 1 AuthorId : Author. Hide details. Abstract : We develop a large strain nonlinear viscoelastic model, called pseudo-linear model.

It is based on the choice of a suitable strain tensor which permits to write the Helmholtz free energy as a quadratic form and the constitutive equation as a single convolution equation.

To validate this model, we compare the pseudolinear potential with a general Helmholtz free energy approximated by a fourth order multiple integral expansion. The memory functions are chosen in exponential form with one characteristic time by decade. This comparison shows that the two models are in good agreements. The proposed model can easily evaluate the dissipation function of the material. This is illustrated in the case of harmonic vibrations. Then, we develop a variational formulation based on the total energy minimum principle.

A numerical integration procedure using the finite element method is proposed, based on a linear approximation in the time domain. The comparison between the numerical results and the theoretical predictions are in good agreements for common behaviours.

Cette comparaison montre une bonne concordance entre les deux descriptions. Identifiers HAL Id : tel, version 1. Citation Seddiq Hassani. Metrics Record views. Contact support.

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SUR UNE FORMULATION VARIATIONNELLE DE TYPE ULTRA-FAIBLE

Part of the International Series of Numerical Mathematics book series ISNM, volume Abstract This paper is devoted to the presentation of a new family of high order numerical schemes in space first order in time for the numerical solution of the Euler equations. We restrict the presentation to the 1D case. Full extention to the multi-dimensional case is discussed in [9] with complete discussion of the entropy properties and some numerical simulations. See [8] for an elementary discussion of the entropy inequality.

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Resolution Numerique d'une Equation de Conservation par une Approche Variationnelle

This paper is devoted to the presentation of a new family of high order numerical schemes in space first order in time for the numerical solution of the Euler equations. We restrict the presentation to the 1D case. Full extention to the multi-dimensional case is discussed in [9] with complete discussion of the entropy properties and some numerical simulations. See [8] for an elementary discussion of the entropy inequality.

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SUR UNE FORMULATION VARIATIONNELLE DE TYPE ULTRA-FAIBLE

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Entropy Inequality for High Order Discontinuous Galerkin Approximation of Euler Equations

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