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Journal ArticleDOI

A finite-element programme for the plane-strain analysis of rubber

P B Lindley
- 01 Jan 1975 - 
- Vol. 10, Iss: 1, pp 25-31
TLDR
In this paper, the use of triangular elements in finite-element analyses was considered and a strain energy function was proposed to enable solutions to be obtained at strains well beyond those of linear classical elasticity theory.
Abstract
For a highly incompressible material the use of triangular elements in plane-strain finite-element analyses restricts the number of degrees of freedom. A computer programme is developed which uses quadrilateral elements, and various methods of reducing computation time are employed. A strain-energy function is proposed which will enable solutions to be obtained at strains well beyond those of linear classical elasticity theory.

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Citations
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Journal ArticleDOI

A finite element approach for large strains of nearly incompressible rubber-like materials

TL;DR: In this article, Nagtegaal et al. developed a variational principle for nearly incompressible materials in the fully plastic range and extended it to the domain of nonlinear elasticity.
Journal ArticleDOI

Compression moduli for blocks of soft elastic material bonded to rigid end plates

TL;DR: In this article, simple relations for the plane strain and axisymmetric compression moduli for blocks of compressible soft elastic material bonded to rigid end plates were developed based on simplifying assumptions.
Journal ArticleDOI

A plane stress finite element method for the prediction of rubber fracture

TL;DR: In this paper, a virtual crack extension method using isoparametric finite elements, which are formulated based on a variation of geometry mapping, is used to calculate the tearing energy of rubber vulcanizates.

The Hydro-Support : An Elasto-Hydrostatic Thrust Bearing with Mixed Lubrication

TL;DR: In this paper, a mathematical model has been developed, incorporating the elastic deformation of the track, bearing and support, and the partial contact and hydrostatic lubricating film between the bearing and track.
References
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Journal ArticleDOI

The Compression of Bonded Rubber Blocks

TL;DR: In this article, the load-deflection relations for rubber blocks having a wide range of thicknesses and varied shapes of cross-section were investigated for small compressions of circular discs and infinitely long rectangular bars.
Journal ArticleDOI

Compression, bending, and shear of bonded rubber blocks

TL;DR: In this paper, an approximate theoretical treatment for small compressions of bonded rubber blocks is given, where the component of the compressive force arising from the bonded condition at the loaded surfaces is obtained from a pressure distribution within the block, given by the solution of the corresponding torsion problem.
Journal ArticleDOI

Compressibility of Natural Rubber at Pressures Below 500 KG/CM2

TL;DR: It is concluded that a low degree of vulcanization produces no significant changes in the constants listed, and calculations of values of compressibility, "internal pressure”, bulk wave velocity, difference between specific heats, and several other physical properties are in reasonable agreement with those obtained by direct observation by other workers.
Journal ArticleDOI

Finite Plane Strain of Incompressible Elastic Solids by the Finite Element Method

TL;DR: In this paper, the finite element method is extended to the problem of finite plane strain of elastic solids, where the displacement fields within each element are approximated by linear functions of the local coordinates.
Journal ArticleDOI

Plane-stress analysis of rubber at high strains using finite elements:

TL;DR: In this article, a finite-element program was developed for the analysis of stretched rubber sheets and the elastic energy of each of the homogeneously deformed triangular elements into which the sheet is divided can be determined from the displacements of its nodal points and a suitable strain energy function.
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