An axisymmetric \(B\)-spline model for the nonlinear inflation of rubberlike membranes
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Publication:5948242
DOI10.1016/S0045-7825(01)00227-4zbMath1022.74020OpenAlexW2039676803MaRDI QIDQ5948242
Publication date: 30 October 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00227-4
convergencearc-length methodhyperelasticityNewton-Raphson algorithmaxisymmetric \(B\)-spline modelaxisymmetric rubberlike membranesfree inflationspline boundary conditionstangent operator
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Related Items (3)
Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ On the time-dependent mechanics of membranes via the nonlinear finite element method ⋮ Deflections of a rubber membrane
Cites Work
- The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity
- On axisymmetric deformations of nonlinear viscoelastic membranes
- A practical guide to splines
- An incremental approach to the solution of snapping and buckling problems
- The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method
- Dynamic inflation of non-linear elastic and viscoelastic rubber-like membranes
- Incremental displacement algorithms for nonlinear problems
- The mechanics of rubber elasticity
- Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part I. Axisymmetric case
- A finite element formulation for finite static axisymmetric deformation of hyperelastic membranes
- The Application of the Minimum Potential Energy Principle to Nonlinear Axisymmetric Membrane Problems
- FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL ELASTIC MEMBRANE
- On Axisymmetrical Deformations of Nonlinear Membranes
- The Application of Newton’s Method to the Problem of Elastic Stability
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