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Imperfect interfaces in inhomogeneous materials: multiscale and multiphysics modeling and numerical simulations

le 22 janvier 2015

Qi-Chang HE, de l'Université Paris-Est, Laboratoire de Modélisation et Simulation Multi Echelle, interviendra à l'ENS Cachan lors du séminaire du LMT

Interfacial continuity and discontinuity relations are needed in dealing with a variety of mechanical and physical phenomena in heterogeneous media. The present work consists of three parts. In the first part concerned with perfect interfaces, two orthogonal projection operators reflecting the interfacial continuity and discontinuity of the field variables of coupled mechanical and physical phenomena are introduced, and some coordinate-free interfacial relations involving the surface decomposition of a generic linear constitutive law are deduced. The second part is dedicated to the derivation of a general linear imperfect interface model for coupled multifield phenomena by applying Taylor's expansion to a 3D curved thin interphase perfectly bonded to its two neighboring phases, the interfacial operators and relations given in the first part being used directly so as to render the derivation more direct and to write the final interfacial jump relations in a unified and compact way. The general imperfect interface model obtained in the present work includes as special cases all the relevant linear ones reported in the literature. In the third part, the derived general imperfect interface model is particularized to thermal conduction and piezoelectricity. The corresponding imperfect interface models are numerically implemented by using the extended finite element method (XFEM) and appropriate enrichment functions. The analytical exact solutions to benchmark problems are proposed to test the accuracy and to perform the convergence analysis of the elaborated numerical procedure. Finally, the imperfect interface models and the XFEM-based numerical procedure proposed are applied to the homogenization of composites accounting for imperfect interfacial effects.
[1] S.T. Gu, and Q.C. He (2011), Interfacial operators and jump relations for coupled multifield phenomena in heterogeneous media, Journal of the Mechanics and Physics of Solids, Vol. 59, 1413-1426.
[2] J.-T. Liu, S.T. Gu, S.T., E. Monteiro, Q.-C. He, Q.-C. (2014), A versatile interface model for thermal conduction phenomena and its numerical implementation by XFEM, Computational Mechanics, Vol. 53, 825-843.
[3] S.T. Gu, J.T. Liu, J.T., Q.C. He (2014), Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities, International Journal of Solids and Structures, Vol. 51, 2283-2296.
[4] S.T. Gu, A.L. Wang, Y. Xu, Q.C. He (2015), Closed-form estimates for the effective conductivity of isotropic composites with spherical particles and general imperfect interfaces, International Journal of Heat and Mass Transfer, Vol. 83, 317-326.

Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Amphi e-média
Bâtiment Léonard De Vinci de - ENS Cachan
61, avenue du Président Wilson 94230 Cachan
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