Axisymmetric peeling of thin elastic films: A perturbation solution

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-06-26 DOI:10.1115/1.4062831
E. Chen, Zhaohe Dai
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引用次数: 1

Abstract

We study the mechanical behavior of a thin elastic film that is affixed to a rigid substrate and subjected to a transverse force using a shaft with a finite radius. This scenario, also referred to as axisymmetric peeling, is encountered frequently in conventional blister tests as well as in our daily lives when removing an adhesive film from a substrate. Our primary objective is to gain a quantitative understanding of how the shaft's radius influences the relationships between force and displacement, as well as between force and delamination areas. These relationships can serve as a dependable method to determine both the film's elastic modulus and the adhesion strength between the film and its substrate. In this work, we provide a simple perturbation solution to this geometrically nonlinear problem while avoiding any use of ad hoc assumptions that were previously required in the literature. As a result, our results are in excellent agreement with numerical simulations and offer improved accuracy compared to analytical solutions available in the literature.
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弹性薄膜轴对称剥落:微扰解
我们研究了粘在刚性基材上的弹性薄膜的力学行为,并使用有限半径的轴施加横向力。这种情况,也被称为轴对称剥落,在传统的泡罩测试中经常遇到,以及在我们的日常生活中,当从基材上去除胶膜时。我们的主要目标是定量了解轴的半径如何影响力和位移之间的关系,以及力和分层区域之间的关系。这些关系可以作为一种可靠的方法来确定薄膜的弹性模量和薄膜与基材之间的粘附强度。在这项工作中,我们为这个几何非线性问题提供了一个简单的摄动解决方案,同时避免了以往文献中所要求的任何临时假设的使用。因此,我们的结果与数值模拟非常一致,并且与文献中可用的解析解决方案相比,提供了更高的准确性。
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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