caa a22 4500 46908099X CHVBK 20180323132950.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01174168 doi (NATIONALLICENCE)springer-10.1007/BF01174168 An approach to finite static axially symmetric deformation of a hyperelastic membrane [Elektronische Daten] [J. Haddow, J. Wegner, L. Jiang] Summary: A simple approach to the problem of finite quasi-static axially symmetric deformation of an isotropic incompressible hyperelastic membrane is presented. Lagrangian type equilibrium equations, expressed in terms of the Biot stresses, are used along with constitutive relations expressing the principal components of Biot stress in terms of the principal stretches. Numerical results, obtained from the application of a finite element method to the governing equilibrium equations and constitutive relations, are presented for two problems, and for two different strain energy functions. It is shown how the proposed equilibrium equations can be obtained from a variational principle, and the variational principle is also used to obtain approximate solutions. Springer-Verlag, 1992 Haddow J. Department of Mechanical Engineering, University of Victoria, Victoria, V8W2Y2, British Columbia, Canada aut Wegner J. Department of Mechanical Engineering, University of Victoria, Victoria, V8W2Y2, British Columbia, Canada aut Jiang L. Martec Limited, B3J1H6, Halifax, Nova Scotia, Canada aut Acta Mechanica Springer-Verlag 92/1-4(1992-03-01), 77-90 0001-5970 92:1-4<77 1992 92 707 https://doi.org/10.1007/BF01174168 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01174168 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Haddow J. Department of Mechanical Engineering, University of Victoria, Victoria, V8W2Y2, British Columbia, Canada aut NATIONALLICENCE 700 1- Wegner J. Department of Mechanical Engineering, University of Victoria, Victoria, V8W2Y2, British Columbia, Canada aut NATIONALLICENCE 700 1- Jiang L. Martec Limited, B3J1H6, Halifax, Nova Scotia, Canada aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 92/1-4(1992-03-01), 77-90 0001-5970 92:1-4<77 1992 92 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer