Abstract
Considering the Mooney–Rivlin hyperelastic model, a semi-analytical approach is introduced to analyze the rigid–flexible contact behavior of an inflated membrane balloon between two plates with various interface conditions. This approach is based on differential formulation, and the coupling properties of equilibrium equations are well-solved. In order to verify the reliability of the proposed theoretical model, an experimental test was designed, by which some important contact characteristics and patterns (no-slip condition) were obtained. Two special phenomena were observed for the meridian stretch ratio with different friction coefficients. One is that the intersection points of all curves fall in a small interval, and the intersection of any two curves represents the same changing rate of the horizontal ordinate, resulting in the maximum difference. The other is the dividing point, where the stretch ratio decreases on the left and increases on the right due to the introduction of friction. These results provide solid guidance and support for our understanding of the rigid–flexible contact behavior of inflated membrane balloons.
Highlights
As a typical membrane structure, inflated balloons have considerable importance in a number of scientific studies and technological applications
The intersection point of any two curves appears in the contact region, which represents that materials have the same meridian stretch ratio under conditions with corresponding friction coefficients at that point
A semi-analytical approach based on the force equivalent method is introduced to the Mooney–Rivlin hyperelastic membrane model to characterize the rigid–flexible contact behavior of an inflated membrane balloon
Summary
As a typical membrane structure, inflated balloons have considerable importance in a number of scientific studies and technological applications. Investigations into the contact behavior of inflated membranes can be summarized as two processes: geometry nonlinearity analysis and boundary condition nonlinearity analysis. Geometry nonlinearity is carefully considered when solving the membrane inflation problem [3] Based on the finite element method, the membrane’s large deformation problems, nonlinear static behavior, inflation and contact characteristics were analyzed by Leonard and Verma (1976) [5] and Charrier and Shrivastava (1987) [6]. The coupled normal adhesive force and tangential friction force will increase the difficulty of the solving process. To deal with this problem, a semi-analytical method rooted in differential formulation is Proceedings 2018, 2, 412; doi:10.3390/ICEM18-05264 www.mdpi.com/journal/proceedings. Proceedings 2018, 2, 412 introduced to extend the modal of Feng and Yang (1973) [8], and more complex contact boundary conditions are studied
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