On Saint Venant - Kirchhoff imperfect interfaces

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 im...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2017-03, Vol.89, p.101-115
Main Authors: Rizzoni, R., Dumont, S., Lebon, F.
Format: Article
Language:English
Subjects:
Asymptotic analysis
Asymptotic series
Butt joints
Imperfect interface
Kirchhoff-Saint Venant
Mechanics
Nonlinear elasticity
Physics
Solid mechanics
Strain
Studies
Thin films
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Summary: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. •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.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2016.12.002