Self-actuated snap back of viscoelastic pulsing structures

Santer, Matthew

doi:10.1016/j.ijsolstr.2010.08.007

Cited by 35 publications

(52 citation statements)

References 10 publications

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“…We observe that the agreement with the numerics is excellent when λ < 1 − β, despite the fact that the assumption |X | 1 made in the multiple-scale analysis is not formally valid throughout the range of values shown. Figure 8 explains many basic features of pseudo-bistability that have been observed previously in experiments and numerical simulations (Santer, 2010;Brinkmeyer et al, 2012Brinkmeyer et al, , 2013Madhukar et al, 2014;Efrati, 2017, 2018). We see that pseudo-bistability occurs only in a narrow parameter range, near the threshold at which snap-through no longer occurs (i.e.…”

Section: Snap-through Dynamicssupporting

confidence: 54%

“…For this reason, previous work has mainly relied on experiments and numerical simulations (e.g. using commercially available finite element packages, or solutions of the governing PDEs using standard numerical methods) to quantitatively model the snap-through dynamics (Diaconu et al, 2009;Santer, 2010;Arrieta et al, 2011;Brinkmeyer et al, 2012;Loukaides et al, 2014). Some progress has also been made using lumped mass-spring models (Carrella et al, 2008), though there remains a general lack of analytical results in the literature, for example closed-form expressions for the time taken to snap-through in terms of the physical system parameters.…”

Section: Elastic Snap-throughmentioning

confidence: 99%

“…This solution is classical in the literature and represents the stress relaxation of a standard linear solid under a step increase in strain (Lakes, 1998;Santer, 2010): the stress initially (i.e. at T = −T ind ) jumps instantaneously to a fully unrelaxed value Σ = X ind /(1 − β) when the indentation is applied, and then decays exponentially to the fully relaxed value Σ = X ind associated with an elastic material.…”

Section: Indentation Responsementioning

confidence: 99%

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Dynamics of viscoelastic snap-through

Gomez

Moulton

Vella

2019

Journal of the Mechanics and Physics of Solids

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We study the dynamics of snap-through when viscoelastic effects are present. To gain analytical insight we analyse a modified form of the Mises truss, a single-degree-of-freedom structure, which features an 'inverted' shape that snaps to a 'natural' shape. Motivated by the anomalously slow snap-through shown by spherical elastic caps, we consider a thought experiment in which the truss is first indented to an inverted state and allowed to relax while a specified displacement is maintained; the constraint of an imposed displacement is then removed. Focussing on the dynamics for the limit in which the timescale of viscous relaxation is much larger than the characteristic elastic timescale, we show that two types of snap-through are possible: the truss either immediately snaps back over the elastic timescale or it displays 'pseudo-bistability', in which it undergoes a slow creeping motion before rapidly accelerating. In particular, we demonstrate that accurately determining when pseudo-bistability occurs requires the consideration of inertial effects immediately after the indentation force is removed. Our analysis also explains many basic features of pseudo-bistability that have been observed previously in experiments and numerical simulations; for example, we show that pseudo-bistability occurs in a narrow parameter range at the bifurcation between bistability and monostability, so that the dynamics is naturally susceptible to critical slowing down. We then study an analogous thought experiment performed on a continuous arch, showing that the qualitative features of the snap-through dynamics are well captured by the truss model. In addition, we analyse experimental and numerical data of viscoelastic snap-through times reported previously in the literature. Combining these approaches suggests that our conclusions may also extend to more complex viscoelastic structures used in morphing applications.

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Section: Snap-through Dynamicssupporting

confidence: 54%

Section: Elastic Snap-throughmentioning

confidence: 99%

Section: Indentation Responsementioning

confidence: 99%

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Dynamics of viscoelastic snap-through

Gomez

Moulton

Vella

2019

Journal of the Mechanics and Physics of Solids

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“…Indeed, viscoelastic dissipation causes higher critical loads to actuate snapping instabilities and can completely suppress the snap instability in the case of shallow arches . Additionally, depending on the loading history, viscoelasticity may cause a structure to be bistable only on certain time scales—“temporary bistability.” Figure A shows a commonly‐encountered example of the self‐actuated snap back caused by loss of this temporary bistability—the snap although of a rubber “Popper” toy. In this case, while the time until the loss of temporary bistability is dictated by viscoelasticity, the snapping time scale approaches the physical elastic wave limit …”

Section: Snappingmentioning

confidence: 99%

Stimuli-responsive buckling mechanics of polymer films

Chen

Yoon

Chandra

et al. 2014

J. Polym. Sci. Part B: Polym. Phys.

103

102

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Thin polymer films may undergo a wide variety of elastic instabilities that include global buckling modes, wrinkling and creasing of surfaces, and snapping transitions. Traditionally, these deformations have usually been avoided as they often represent a means of mechanical failure. However, a new trend has emerged in recent years in which buckling mechanics can be harnessed to endow materials with beneficial functions. For many such applications, it is desirable that such deformations happen reversibly and in response to welldefined signals or changes in their environment. While significant progress has been made on understanding and exploiting each type of deformation in its own right, here we focus on recent advances in the control and application of stimuliresponsive mechanical instabilities.

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“…7,8 Building on this framework, the main objectives of this research are to demonstrate the existence of pseudobistability in a curved composite panel and to devise simple design rules to obtain this behavior. In this paper, first we present the phenomenon of pseudo-bistability using a discrete model to illustrate its fundamental characteristics.…”

Section: Introductionmentioning

confidence: 99%

Pseudo-Bistable Morphing Composites

Brinkmeyer¹,

Pirrera²,

Santer³

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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A new concept for a morphing structure is introduced, using a combination of viscoelastic and composite materials. The structure is said to be pseudo-bistable, as it exhibits the following behaviour upon actuation. First, it snaps into a buckled state, then, once the actuation is removed, it remains in its snapped configuration for a period of time, before quickly returning to its initial state. This can be achieved by the choice of an appropriate geometry and boundary conditions. The material also needs to be sufficiently viscoelastic so as to trigger the snap-back. In this paper the principles of pseudo-bistability are first explained using a discrete model, then the link between discrete and continuum structures is established. Finally, the application to composite structures is investigated.

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Self-actuated snap back of viscoelastic pulsing structures

Cited by 35 publications

References 10 publications

Dynamics of viscoelastic snap-through

Dynamics of viscoelastic snap-through

Stimuli-responsive buckling mechanics of polymer films

Pseudo-Bistable Morphing Composites

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