Asymptotic behavior of a hard thin linear elastic interphase: An energy approach

• Published in: International journal of solids and structures 2011-02, Vol.48 (3), p.441-449
• Main Authors: Lebon, F., Rizzoni, R.
• Format: Article
• Language: English
• Subjects: Anisotropic material; Asymptotic analysis; Asymptotic expansions; Asymptotic properties; Condensed matter: structure, mechanical and thermal properties; Contact law; Energy minimization; Engineering Sciences; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Interphase; Mathematical analysis; Mechanical and acoustical properties; Mechanics; Optimization; Physical properties of thin films, nonelectronic; Physics; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties); Symmetry; Thin film; Thin films; Vectors (mathematics)
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/j.ijsolstr.2010.10.006

The mechanical problem of two elastic bodies separated by a thin elastic film is studied here. The stiffness of the three bodies is assumed to be similar. The asymptotic behavior of the film as its thickness tends to zero is studied using a method based on asymptotic expansions and energy minimization. Several cases of interphase material symmetry are studied (from isotropy to triclinic symmetry). In each case, non-local relations are obtained relating the jumps in the displacements and stress vector fields at order one to these fields at order zero.