2013
DOI: 10.1016/j.ijnonlinmec.2013.06.015
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On the contact problem of an inflated spherical hyperelastic membrane

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Cited by 44 publications
(19 citation statements)
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“…Motivated by numerous long-standing and modern engineering problems, oscillatory motions of cylindrical and spherical shells made of linear elastic material [55,57,58,78] have generated a wide range of experimental, theoretical, and computational studies [5-7, 18, 29]. In contrast, time-dependent finite oscillations of cylindrical tubes and spherical shells of nonlinear hyperelastic material, relevant to the modelling of physical responses in many biological and synthetic systems [3,9,28,[40][41][42]56], have been less investigated, and much of the work in finite nonlinear elasticity has focused on the static stability of pressurised shells [2,17,21,22,24,31,34,36,38,59,70,81,90,111], or on wave-type solutions in infinite media [46,77].…”
Section: Introductionmentioning
confidence: 99%
“…Motivated by numerous long-standing and modern engineering problems, oscillatory motions of cylindrical and spherical shells made of linear elastic material [55,57,58,78] have generated a wide range of experimental, theoretical, and computational studies [5-7, 18, 29]. In contrast, time-dependent finite oscillations of cylindrical tubes and spherical shells of nonlinear hyperelastic material, relevant to the modelling of physical responses in many biological and synthetic systems [3,9,28,[40][41][42]56], have been less investigated, and much of the work in finite nonlinear elasticity has focused on the static stability of pressurised shells [2,17,21,22,24,31,34,36,38,59,70,81,90,111], or on wave-type solutions in infinite media [46,77].…”
Section: Introductionmentioning
confidence: 99%
“…(by levering doors open, so that grapples can be inserted). Moreover, inflatable membranes are also used in a number of space applications such as solar sails and arrays, scientific ballooning, thermal shields, pressurised habitats in space, actuators and telescope mirrors (Marker and Jenkins, 1997;Patil and DasGupta, 2013) as well as in the development of airbags, suspensions for cushioning and shock absorbers (Kumar and DasGupta, 2013). Inflatable membranes as elastomer based tunable devices (Song et al, 2012) have been used in the development of dielectrophoretical tunable optofluidic devices, leading to a number of applications such as beam steers, optical switches and single pixel displays (Xu et al, 2013).…”
Section: Introductionmentioning
confidence: 99%
“…We focus here the attention on the (approximately) last decade, in which significant advances have been made on the investigation of the mechanical stability of inflated elastomeric shells. As described by Tamadapu and DasGupta (2013) and Kumar and DasGupta (2013), hyper-elastic inflated structures are used in modern applications such as in balloons, self-deploying structures, terrestrial and space structures, airbags and suspensions for cushioning and absorbing shocks. Moreover, we find an important application within the framework of biomedical engineering since the inflation of spherical and cylindrical hyperelastic shells is frequently taken as a canonical problem to investigate the formation and growth of saccular and fusiform aneurysms (Alhayani, Rodríguez, & Merodio, 2014;David & Humphrey, 2003;Freitas, 2009;Haslach & Humphrey, 2004;Rodríguez & Merodio, 2011;Shah & Humphrey, 1999;Volokh & Vorp, 2008).…”
Section: Introductionmentioning
confidence: 99%