Journal ArticleDOI
On the general contact problem of an inflated nonlinear plane membrane
William W. Feng,Huang Pangnan +1 more
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In this paper, the authors considered the nonaxisymmetric contact problem between an inflated membrane and a rigid indentor and derived the shape and boundary of the contact region and the configuration of the deformed membrane under both inflation and indentation.About:
This article is published in International Journal of Solids and Structures.The article was published on 1975-04-01. It has received 39 citations till now. The article focuses on the topics: Slack variable & Plane (geometry).read more
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Deflections of a rubber membrane
TL;DR: In this paper, the authors deal with the problem of the transverse deflection of a natural rubber membrane that is fixed along a circular boundary and provide a comparison of the experimental results for the membrane deflections with results derived from computational simulations.
Journal ArticleDOI
Free and constrained inflation of elastic membranes in relation to thermoforming — axisymmetric problems:
J M Charrier,S Shrivastava,R. Wu +2 more
TL;DR: In this article, a finite element formulation for stress analysis under axisymmetric conditions is presented for free and constrained inflation of a flat circular membrane, the latter with respect to inflation against a circular cylindrical surface, a 60 degree conical surface, and a horizontal plate.
Journal ArticleDOI
Frictionless contact of elastic bodies by finite element method and mathematical programming technique
Nguyen Dang Hung,Gery de Saxce +1 more
TL;DR: In this article, an analysis of the contact problems between elastic bodies without friction is presented, where kinematically admissible displacement fields are subjected to the noninterpenetration conditions so that the contact problem being equivalent to a minimization of the potential energy with contraints on the displacements may be reduced to a particular case of the mathematical programming techniques.
Journal ArticleDOI
Review: Computer Methods in Membrane Biomechanics.
TL;DR: Analytical, experimental, and numerical methods for studying the nonlinear, pseudoelastic behavior of membranes of interest in biomechanics as well as elastomeric membranes used in balloon catheters and new cell stretching tests are reviewed.
Journal ArticleDOI
Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part I. Axisymmetric case
Roger E. Khayat,A. Derdouri +1 more
TL;DR: In this paper, the free and confined axisymmetric inflation of a cylindrical membrane is considered and the problem is formulated to include single and multiple contacts between the cylinder and the surrounding solid boundary.
References
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A Rapidly Convergent Descent Method for Minimization
Roger Fletcher,M. J. D. Powell +1 more
TL;DR: A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.
Book
Large elastic deformations
A. E. Green,John E Adkins +1 more
TL;DR: In this paper, a unified theory of the relations observed between load and deformation for elastic solids of various shapes, sizes, and compostions is presented, where the elastic character of the materials to which the theory is applicable may be loosely described as follows: if a body of elastic material is subjected to a load, it will be deformed and on the removal of the load will regain its initial dimensions and shape.
Journal ArticleDOI
On the Contact Problem of an Inflated Spherical Nonlinear Membrane
W. W. Feng,W. H. Yang +1 more
TL;DR: In this paper, the contact problem of an inflated spherical nonlinear elastic membrane between two large rigid plates is formulated in terms of three first-order ordinary differential equations for the region where the spherical membrane is not in contact with the rigid plates.
Related Papers (5)
Free and constrained inflation of elastic membranes in relation to thermoforming — axisymmetric problems:
J M Charrier,S Shrivastava,R. Wu +2 more