Finite element analysis of air-supported membrane structures

DOI10.1016/S0045-7825(99)00428-4zbMath1007.74071MaRDI QIDQ1595088

P. Heywood, Richard D. Wood, John K. jun. Mahaney, Javier Bonet

Publication date: 27 March 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

linearizationfinite element analysistangent operatorair-supported membraneBoyle's lawinternal pressure forceslarge strain hyperelastic constitutive equationspneumatic structures

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items (25)

Numerical simulations of nearly incompressible viscoelastic membranes ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ On fluid-shell coupling using an arbitrary Lagrangian-eulerian fluid solver coupled to a positional Lagrangian shell solver ⋮ On the static interaction of fluid and gas loaded multi-chamber systems in large deformation finite element analysis ⋮ Symmetry aspects in stability investigations for thin membranes ⋮ Explicit finite deformation analysis of isogeometric membranes ⋮ Finite inflation of an initially stretched hyperelastic circular membrane ⋮ Extension and inflation of a thick-cylindrical tube made of isotropic compressible of Mooney-Rivlin materials: modeling and finite element simulations ⋮ The effect of inflating pressure on the finite pure bending of hyperelastic tubes ⋮ Computational stability investigations for a highly symmetric system: the pressurized spherical membrane ⋮ A finite element method for viscous membranes ⋮ Unconstrained vector nonlinear dynamic shell formulation applied to fluid structure interaction ⋮ A solid-like Fem for geometrically non-linear 3D frames ⋮ ALE incompressible fluid-shell coupling based on a higher-order auxiliary mesh and positional shell finite element ⋮ Large deformation analysis of elastoplastic homogeneous materials via high order tetrahedral finite elements ⋮ Instability of hyper-elastic balloon-shaped space membranes under pressure loads ⋮ Improved finite element for 3D laminate frame analysis including warping for any cross-section ⋮ Adjoint optimization of pressurized membrane structures using automatic differentiation tools ⋮ Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation ⋮ High-order tetrahedral finite elements applied to large deformation analysis of functionally graded rubber-like materials ⋮ ON THE INFLUENCE OF FLUID-STRUCTURE-INTERACTION ON THE STABILITY OF THIN-WALLED SHELL STRUCTURES ⋮ Continuous stress distribution following transverse direction for FEM orthotropic laminated plates and shells ⋮ A finite element model for fluid-structure interaction problems involving closed membranes, internal and external fluids ⋮ Unconstrained finite element for geometrical nonlinear dynamics of shells ⋮ An edge-based smoothed finite element method (ES-FEM) using 3-node triangular elements for 3D non-linear analysis of spatial membrane structures

Cites Work

• Unnamed Item
• Higher-order simplex elements for large strain analysis-natural approach
• Theory and finite element formulation of rubberlike membrane shells using principal stretches
• Finite elasticity in spatial description: Linearization aspects with 3‐D membrane applications
• Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
• Finite element analysis of nonlinear orthotropic hyperelastic membranes

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