Dumont, S.

Lebon, F.

Rizzoni, R.

Serpilli, M.

Scipedia

8th ECCOMAS Thematic Conference on the Mechanical Response of Composites: COMPOSITES 2021M. Fagerström & G. Catalanotti (Editors)A GENERALIZED INTERFACE LAW IN DYNAMIC COUPLEDTHERMOELASTICITY: ASYMPTOTIC ANALYSIS AND FEMVALIDATIONM. Serpilli1∗, S. Dumont2, R. Rizzoni3 and F. Lebon41 Department of Civil and Building Engineering, and Architecture, Universitá Politecnica delleMarche, Ancona, Italy2 IMAG CNRS UMR 5149, University of Nı̂mes, Nı̂mes, FranceDepartment of Engineering, University of Ferrara, Ferrara, ItalyLaboratoire de Mècanique et d?Acoustique, CNRS, Aix-Marseille University, Marseille, France∗ m.serpilli@univpm.itThe present work deals with the modeling of interfaces in coupled thermoelasticity by means ofthe asymptotic analysis (see, e.g., [1, 2, 3]). The composite body is constituted by two thermoe-lastic media (adherents) bonded together by a thin intermediate thermoelastic layer (adhesive).By considering a small parameter ε, associated with the thickness of the adhesive, we applythe asymptotic expansions method to the thermoelastic evolution problem by letting ε tends tozero. We characterize different limit interface laws, considering also the contribution of thehigher order terms of the expansion. The cases of soft (lowly-conduting) and hard (moderatelyconducting) interfaces are considered: the first is derived assuming the constitutive coefficientslinearly depending on the thickness ε; the second considers the material properties independentof ε. By using the approach developed in [4] for multiphysic materials, we also identify a gen-eral thermoelastic interface law which comprises the above aforementioned models. Numericalinvestigations are performed in the framework of the finite element method, by comparing theresults obtained by modeling the adhesive as a continuum material (discretized in finite elementseven in the thickness) with the results carried out using the derived interface models.References[1] P.G. Ciarlet (1997), Mathematical Elasticity, Vol. II: Theory of Plates. North-Holland,Amsterdam.[2] M. Serpilli, (2017). Asymptotic interface models in magneto-electro-thermo-elastic com-posites. Meccanica, 52 (6), 1407-1424.[3] S. Dumont, R. Rizzoni, F. Lebon andE. Sacco, (2018). Soft and hard interface models forbonded elements, Composite Part B, 153, 480-490.[4] M.Serpilli R. Rizzoni, F. Lebon and S. Dumont,(2019). An asymptotic derivation of ageneral imperfect interface law for linear multiphysics composites, Int. J. Solids Struct.180-181, 97-107.

A Generalized Interface Law in Dynamic Coupled Thermoelasticity: Asymptotic Analysis and Fem Validation

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A Generalized Interface Law in Dynamic Coupled Thermoelasticity: Asymptotic Analysis and Fem Validation

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