𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by F. Lebon; R. Rizzoni


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
298 KB
Volume
48
Category
Article
ISSN
0020-7683

No coin nor oath required. For personal study only.

✦ Synopsis


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.