High strain rate response of rubber membranes

Albrecht, A. B.; Ravi‐Chandar, Krishnaswamy

doi:10.1016/j.jmps.2013.12.001

Cited by 8 publications

(5 citation statements)

References 8 publications

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“…The bulk equation ( 35) and the fixed-boundary limit of the boundary equation ( 36) are redundant with respect to the momentum equations (31)(32). The general boundary equation leads to an energy jump condition,…”

Section: A Line Discontinuity In a Sheetmentioning

confidence: 99%

“…The bodies are modeled as inextensible curves and surfaces. Physical examples of such discontinuities include peeling fronts of adhesive tapes and coatings [16][17][18][19], lift-off points of chains and ropes moving around pulleys or table edges [2,8,9,20], pick-up points of chains from piles or rigid surfaces [1,6,7,21,22], propagating impacts in cables and membranes [11,[23][24][25][26][27][28][29][30][31][32], geometrically complex propagating kinks in a windblown flag or the tubular body and arms of an Airdancer R [33], brittle cracks, tears, and cuts in sheet materials [17,28,34], and groove structures in impressed bladders. It also seems likely that kinks may form in the transverse waves resulting from hairpin turn maneuvers of towed cables [35][36][37].…”

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confidence: 99%

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Jump conditions for strings and sheets from an action principle

Hanna

2015

International Journal of Solids and Structures

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I present conditions for compatibility of velocities, conservation of mass, and balance of momentum and energy across moving discontinuities in inextensible strings and sheets of uniform mass density. The balances are derived from an action with a time-dependent, non-material boundary, and reduce to matching of material boundary conditions if the discontinuity is stationary with respect to the body. I first consider a point discontinuity in a string and a line discontinuity in a sheet, in the context of classical inertial motion in three Euclidean dimensions. I briefly comment on line discontinuities terminating in point discontinuities in a sheet, discontinuous line discontinuities in a sheet, and an approach to dynamic fracture that treats a crack tip in a sheet as a time-dependent boundary point. I provide two examples of general solutions for conservative sheet motions near a line discontinuity. The approach also enables treatment of actions depending on higher derivatives of position; I thus derive balances for an \emph{elastica} which are applicable to moving contact problems.Comment: Added figure with picture of dancing tube guy, small clarifications, and term that was missing from an equatio

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Section: A Line Discontinuity In a Sheetmentioning

confidence: 99%

mentioning

confidence: 99%

Jump conditions for strings and sheets from an action principle

Hanna

2015

International Journal of Solids and Structures

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“…Nonlinearity of the material, which is significant at higher strains (Albrecht & Ravi-Chandar 2014), are not taken into account.…”

Section: Phenomenologymentioning

confidence: 99%

Impact dynamics for a floating elastic membrane

Duchemin

Vandenberghe

2014

J. Fluid Mech.

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International audienceWe study impacts of a rigid body on a thin elastic sheet floating on a liquid. When struck by a solid object of small size, the elastic sheet deforms and waves propagate in and on the membrane. The impact triggers a longitudinal elastic wave effectively stretching the membrane. The hydroelastic transverse wave that propagates in the stretched domain is similar to capillary waves on a free surface with an equivalent `surface tension' that results from the stretching of the elastic membrane. Two limiting cases, for which a self-similar solution can be computed, corresponding to short and long times are identified. Surprisingly, our study reveals that the fluid-body system behaves as a regular liquid-gas interface, but with an effective surface tension coefficient that scales linearly with the impact velocity

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“…Wrinkles are also observed inside the cavity unlike in the absence of a liquid substrate where they are not observed at least for moderate impact speed (compared to the speed of sound waves in the material) [18,21]. During an experiment the number of wrinkles n observed in the cavity tends to decrease as waves propagate.…”

Section: B Wrinkling Instability In the Cavity R < R Fmentioning

confidence: 99%

“…The natural rubber used in the experiments has a Young modulus E = 2.6 MPa, and a stretching rate of 500% or more can be reached. For simplicity and since most of the dynamics occurs at low stretching (below 10% except in a small area near the impactor), we will assume that the material response can be accurately described by Hooke's law (see [21] for references to more complex models in the context of impacts). A typical value of the stretching modulus is 720 N/m.…”

Section: Experiments a Setupmentioning

confidence: 99%

Impact on floating membranes

Vandenberghe

Duchemin

2016

Phys. Rev. E

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When impacted by a rigid object, a thin elastic membrane with negligible bending rigidity floating on a liquid pool deforms. Two axisymmetric waves radiating from the impact point propagate. In the first place, a longitudinal wave front -associated with in-plane deformation of the membrane and traveling at constant speed -separates an outward stress free domain with a stretched but flat domain. Then, in the stretched domain a dispersive transverse wave travels at a wave speed that depends on the local stretching rate. We study the dynamics of this fluid-body system and we show that the wave dynamics is similar to the capillary waves that propagate at a liquid-gas interface but with a surface tension coefficient that depends on impact speed. We emphasize the role of the stretching in the membrane in the wave dynamics but also in the development of a buckling instability that give rise to radial wrinkles.

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High strain rate response of rubber membranes

Cited by 8 publications

References 8 publications

Jump conditions for strings and sheets from an action principle

Jump conditions for strings and sheets from an action principle

Impact dynamics for a floating elastic membrane

Impact on floating membranes

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