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.
Asymptotic behavior of a hard thin linear elastic interphase: an energy approach
RIZZONI, Raffaella
2011
Abstract
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.File in questo prodotto:
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