Large strain analysis of soft biological membranes: Formulation and finite element analysis

DOI10.1016/0045-7825(96)00999-1zbMath0890.73051OpenAlexW2005955302MaRDI QIDQ1372792

Hans W. Weizsäcker, Peter Wriggers, Robert Eberlein, Gerhard A. Holzapfel

Publication date: 1 July 1998

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

Full work available at URL: https://doi.org/10.1016/0045-7825(96)00999-1

zbMATH Keywords

linearizationquadratic convergenceprinciple of virtual workblood vesseliterative solutionhyperelastic modelGreen-Lagrangian strainselastic tangent moduliincompressible membranesinflated balloon catheterplaque depositstress-deformation relationvascular mechanics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

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Cites Work

• Remarks on rate constitutive equations for finite deformation problems: Computational implications
• Displacement dependent pressure loads in nonlinear finite element analyses
• Pressure Loaded Structures under Large Deformations
• A note on finite-element implementation of pressure boundary loading
• Consistent linearization in mechanics of solids and structures
• A fully non‐linear axisymmetrical quasi‐kirchhoff‐type shell element for rubber‐like materials
• Large elastic deformations of isotropic materials IV. further developments of the general theory
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