Prestretch effect on snap-through instability of short-length tubular elastomeric balloons under inflation

Abstract The inflated elastomeric balloon structures are widely used in engineering fields such as elastomeric actuators and artificial muscles. This study, involving both experiment and modeling, is focused on the prestretch effect on non-linear behavior of inflated short-length tubular elastomeric balloons. In the experiment, the prestretched tubular elastomeric balloon is subjected to air pressure while the two ends are fixed with rigid tubes. The shape evolutions of the tubular elastomeric balloons are illustrated. The non-axisymmetric bulging is observed in the inflated tubular balloon with small prestretch. An analytical model based on continuum mechanics is developed to investigate the inflation behavior of the tubular balloons, and the analytical results agree well with the experimental observation. Analysis shows that snap-through instabilities may happen during the inflation of the tubular balloon. Prestretch along the axis of the tubular balloon can suppress instability during inflation and regulate the reaction force along the axial direction. This work can guide the future application of tubular balloons in elastomeric actuators and artificial muscles.

[1]  Kuo-Kang Liu,et al.  Post-bifurcation analysis of a thin-walled hyperelastic tube under inflation , 2008 .

[2]  Giuseppe Saccomandi,et al.  A Note on the Gent Model for Rubber-Like Materials , 2002 .

[3]  John W. Hutchinson,et al.  On the Propagation of Bulges and Buckles , 1984 .

[4]  A.J.M. Spencer,et al.  FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL ELASTIC MEMBRANE , 1969 .

[5]  K. Volokh,et al.  Inflation and rupture of rubber membrane , 2012, International Journal of Fracture.

[6]  A. Gent A New Constitutive Relation for Rubber , 1996 .

[7]  Alan S. Wineman,et al.  The determination of limiting pressure in simultaneous elongation and inflation of nonlinear elastic tubes , 1979 .

[8]  Stability of localized bulging in inflated membrane tubes under volume control , 2010 .

[9]  H. Alexander The tensile instability of an inflated cylindrical membrane as affected by an axial load , 1971 .

[10]  A. Gent,et al.  Elastic instabilities of inflated rubber shells , 1999 .

[11]  C. Horgan,et al.  Elastic instabilities for strain-stiffening rubber-like spherical and cylindrical thin shells under inflation , 2007 .

[12]  Wan-Lee Yin,et al.  Non-uniform inflation of a cylindrical elastic membrane and direct determination of the strain energy function , 1977 .

[13]  Ivonne Sgura,et al.  Fitting hyperelastic models to experimental data , 2004 .

[14]  Roger E. Khayat,et al.  Inflation of an elastic cylindrical membrane: Non-linear deformation and instability , 1992 .

[15]  J. E. Adkins,et al.  Large elastic deformations of isotropic materials IX. The deformation of thin shells , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[16]  Alan N. Gent,et al.  Elastic instabilities in rubber , 2005 .

[17]  M. Mooney A Theory of Large Elastic Deformation , 1940 .

[18]  A. Mallock,et al.  II. Note on the instability of India-rubber tubes and balloons when distended by fluid pressure , 1891, Proceedings of the Royal Society of London.

[19]  C. Keplinger,et al.  Giant voltage-induced deformation in dielectric elastomers near the verge of snap-through instability , 2013 .

[20]  Albert Edward Green,et al.  Finite elastic deformation of incompressible isotropic bodies , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[21]  Stelios Kyriakides,et al.  The initiation and propagation of a localized instability in an inflated elastic tube , 1991 .

[22]  R. Rivlin Large elastic deformations of isotropic materials IV. further developments of the general theory , 1948, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  Stelios Kyriakides,et al.  On the inflation of a long elastic tube in the presence of axial load , 1990 .