Axisymmetric response of a bi-material full-space reinforced by an interfacial thin film. (July 2016)

• Record Type: Journal Article
• Authors: Ahmadi, Seyed Farzad; Samea, Parham; Eskandari, Morteza
• Is Part Of: International journal of solids and structures. Volume 90(2016)
• Page Start: 251
• Page End: 260
• Publication Date: 2016-07
• Subjects: Bi-material -- Thin film -- Surface/interface effect -- Reinforced solid -- Geotextile -- Geomembrane -- Auxetic materials; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.02.011
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Analytical treatment of a linear elastic isotropic bi-material full-space reinforced by an interfacial thin film under axisymmetric normal loading is addressed. The thin film is modeled as an extensible membrane perfectly bonded to the half-spaces. By virtue of Love's potential function and Hankel integral transform, elastic fields of the system are explicitly written in the form of semi-infinite line integrals. The analytical results are verified by the special cases corresponding to the surface stiffened half-space and classical bi-material problem. The limiting cases of reinforced homogeneous full-space and inextensible membrane are presented and discussed. The proposed formulation is also applicable for studying reinforced auxetic materials with negative Poisson's ratio. The surface/interface effect on the elastic responses of two perfectly bonded half-spaces is also simulated by assigning equivalent surface elastic constant to the membrane stiffness. Effects of thin film stiffness, material properties, loading depth, and surface/interface effect are studied by some numerical examples.