On Saint Venant - Kirchhoff imperfect interfaces. (March 2017)

• Record Type: Journal Article
• Authors: Rizzoni, R.; Dumont, S.; Lebon, F.
• Is Part Of: International journal of non-linear mechanics. Volume 89(2017)
• Page Start: 101
• Page End: 115
• Publication Date: 2017-03
• Subjects: Asymptotic analysis -- Nonlinear elasticity -- Kirchhoff-Saint Venant -- Imperfect interface; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2016.12.002
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: Using matched asymptotic expansions with fractional exponents, we obtain original transmission conditions describing the limit behavior for soft, hard and rigid thin interphases obeying the Saint Venant-Kirchhoff material model. The novel transmission conditions, generalizing the classical linear imperfect interface model, are discussed and compared with existing models proposed in the literature for thin films undergoing finite strain. As an example of implementation of the proposed interface laws, the uniaxial tension and compression responses of butt joints with soft and hard interphases are given in closed form. Abstract : Highlights: Contact laws replacing thin interphases made of a non linear material are proposed. The Saint Venant-Kirchhoff material model is assumed. Soft, hard and rigid thin interphases are studied. Matched asymptotic expansions with fractional exponents are used. A butt joint is analyzed.