ar X iv : 0 80 3 . 07 12 v 1 [ co nd - m at . s of t ] 5 M ar 2 00 8 The Liquid Blister Test
نویسندگان
چکیده
We consider a thin elastic sheet adhering to a stiff substrate by means of the surface tension of a thin liquid layer. Debonding is initiated by imposing a vertical displacement at the centre of the sheet and leads to the formation of a delaminated region, or ‘blister’. This experiment reveals that the perimeter of the blister takes one of three different forms depending on the vertical displacement imposed. As this displacement is increased, we observe first circular, then undulating and finally triangular blisters. We obtain theoretical predictions for the observed features of each of these three families of blisters. The theory is built upon the Föppl-von Kármán equations for thin elastic plates and accounts for the surface energy of the liquid. We find good quantitative agreement between our theoretical predictions and experimental results, demonstrating that all three families are governed by different balances between elastic and capillary forces. Our results may bear on micrometric tapered devices and other systems where elastic and adhesive forces are in competition.
منابع مشابه
ar X iv : 0 80 3 . 27 76 v 1 [ co nd - m at . s up r - co n ] 1 9 M ar 2 00 8 Negative conductance in driven Josephson junctions ∗
We investigate an optimal regime of negative-valued conductance, emerging in a resistively and capacitively shunted Josephson junction, which is driven simultaneously by both, a time-periodic (ac) and a constant (dc) current. We analyze the current-voltage characteristics in the regime of absolute negative conductance. We additionally explore the stability of the negative response with respect ...
متن کاملar X iv : 0 80 3 . 07 12 v 2 [ co nd - m at . s of t ] 1 7 Se p 20 08 The Liquid Blister Test
We consider a thin elastic sheet adhering to a stiff substrate by means of the surface tension of a thin liquid layer. Debonding is initiated by imposing a vertical displacement at the centre of the sheet and leads to the formation of a delaminated region, or ‘blister’. This experiment reveals that the perimeter of the blister takes one of three different forms depending on the vertical displac...
متن کاملar X iv : 0 80 5 . 07 54 v 2 [ co nd - m at . d is - n n ] 1 3 M ay 2 00 8 spin glass identities and the nishimori line
For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Those identities holds pointwise in the Nishimori line and are reached at the rate of the inverse volume while, in the general case, they can be proved in integral average.
متن کاملar X iv : 0 80 3 . 44 39 v 1 [ m at h . D S ] 3 1 M ar 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING
Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form
متن کامل