On the contact of an inflated spherical membrane-fluid structure with a rigid conical indenter

Acta Mechanica

Volumn 218, Issue 3-4, 2011, Pages 225-235

  Sohail, Touqeer ^a   Nadler, Ben ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONICAL INDENTERS; EQUILIBRIUM EQUATION; FIRST-ORDER; FLUID PRESSURES; INCOMPRESSIBLE FLUID; INDENTERS; LARGE DEFORMATIONS; MATERIAL PROPERTY; NEO-HOOKEAN MATERIAL; SHOOTING METHODS; STRESS DISTRIBUTION; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS;

FLUIDS; MEMBRANES; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; STRESS CONCENTRATION;

RIGID STRUCTURES;

EID: 79955803327     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-010-0418-2     Document Type: Article

References (14)

1. J. Adkins R. Rivlin 1952 Large elastic deformations of isotropic materials IX: the deformation of thin shells Phil. Trans. R. Soc. Lond. Ser. A 244 505 531 10.1098/rsta.1952.0013 0048.18204 49761
2. D. Updike A. Kalnins 1970 Axisymmetric behavior of an elastic spherical shell compressed between rigid plates ASME J. Appl. Mech. 37 635 640 10.1115/1.3408592
3. W.H. Yang K. Hsu 1971 Indentation of a circular membrane ASME J. Appl. Mech. 38 227 230 10.1115/1.3408747
4. W.H. Yang C. Lu 1973 General deformations of neo-hookean membranes ASME J. Appl. Mech. 40 9 12
5. W.W. Feng P. Huang 1974 On the inflation of a plane nonlinear membrane ASME J. Appl. Mech. 41 767 771 10.1115/1.3423385
6. W. Feng W.-H. Yang 1973 On the contact problem of an inflated spherical nonlinear membrane J. Appl. Mech. 41 209 214 10.1115/1.3422928
7. W.W. Feng P. Huang 1975 On the general contact problem of an inflated nonlinear plane membrane Int. J. Solids Struct. 11 437 448 10.1016/0020-7683(75) 90079-7 0297.73050
8. L.A. Taber 1983 Compression of fluid-filled spherical shells by rigid indenters J. Appl. Mech. 50 717 722 10.1115/1.3167135 (Pubitemid 14490503)
9. B. Nadler 2010 On the contact of spherical membrane enclosing a fluid with rigid parallel planes Int. J. Non-linear Mech. 45 294 300 10.1016/j.ijnonlinmec.2009.12.001
10. Y. Lefebvre E. Leclerc D. Barthes-Biesel J. Walter F. Edwards-Levy 2008 Flow of artificial microcapsules in microfluidic channels: A method for determining the elastic properties of the membrane Phys. Fluids 20 1231021 1231029 10.1063/1.3054128
11. R. Plaut 2009 Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. Part I: large unwrinkled axisymmetric deformations Acta Mech. 202 79 99 10.1007/s00707-008-0037-3 05600365
12. R. Wang Q.-Y. Jiao D.-Q. Wei 2006 Mechanical response of single plant cells to cell poking: A numerical simulation model J. Integr. Plant Biol. 48 700 705 10.1111/j.1744-7909.2006.00244.x (Pubitemid 43853579)
13. Y. Tan D. Sun W. Huang S.H. Cheng 2008 Mechanical modeling of biological cells in microinjection IEEE Trans. NanoBiosci. 7 257 266 10.1109/TNB.2008. 2011852
14. V.A. Lubarda A. Marzani 2009 Viscoelastic response of thin membranes with application to red blood cells Acta Mech. 202 1 16 10.1007/s00707-008-0005-y 05600360