Delamination Mechanics of a Clamped Rectangular Membrane in the Presence of Long-Range Intersurface Forces: Transition from JKR to DMT Limits
Delamination Mechanics of a Clamped Rectangular Membrane in the Presence of Long-Range Intersurface Forces: Transition from JKR to DMT Limits
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存在长程界面力时夹紧矩形膜的分层力学：从 JKR 到 DMT 限制的过渡
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
K. Wan
中科院分区：
文献类型：
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作者：
Guangxu Li;K. Wan
在相对两端夹紧的一维矩形独立式膜粘附到矩形冲头的平面表面。施加到冲头上的拉伸负载导致膜变形并逐渐从基材上分层。在平衡状态下，施加的载荷由膜-冲头界面处的分离压力（范围 y 和大小 p）平衡。应用 Dugdale-Barenblatt-Maugis 内聚区近似，分离压力被视为均匀且限制在接触边缘处的有限内聚长度。对于固定粘附能 γ = p y，我们研究以下内容：(i) Derjaguin-Muller-Toporov (DMT) 极限，其中 y → ∞ 且 p → 0，(ii) Johnson-Kendall-Roberts (JKR) 极限，其中 y → 0 且 p → ∞，以及 (iii) 中间但有限的 y 和 p 的一般情况。分层一直持续到接触面积收缩到“夹断”之前的一条线为止。结果与二维轴对称膜对应物进行了比较。
A 1-dimensional rectangular freestanding membrane clamped at opposite ends adheres to the planar surface of a rectangular punch. A tensile load applied to the punch causes the membrane to deform and gradually delaminate from the substrate. At equilibrium, the applied load is balanced by the disjoining pressure at the membrane-punch interface with range, y, and magnitude, p. Applying the Dugdale-Barenblatt-Maugis cohesive zone approximation, the disjoining pressure is taken to be uniform and confined to a finite cohesive length at the contact edge. For a fixed adhesion energy, γ = p y, we investigate the following: (i) the Derjaguin-Muller-Toporov (DMT) limit where y → ∞ and p → 0, (ii) the Johnson-Kendall-Roberts (JKR) limit where y → 0 and p → ∞, and (iii) the general case for intermediate but finite y and p. Delamination continues until the contact area shrinks to a line prior to “pinch-off”. The results are compared with the 2-dimensional axisymmetric membrane counterpart.