Straightening wrinkles

Destrade, Michel; Ogden, Ray W.; Sgura, Ivonne; Vergori, Luigi

doi:10.1016/j.jmps.2014.01.001

Cited by 18 publications

(19 citation statements)

References 23 publications

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“…not aligned with a principal direction of deformation) can arise in soft isotropic solids. Understanding the mechanics of wrinkle formation is an essential step towards the development of applications aiming at reducing or removing wrinkles [184] by straightening of wrinkles [185]. For example, Yu et al [184] recently developed a wearable and physico-chemically tuneable polysiloxane-based material that can be topically applied to the skin surface.…”

Section: (C) Analytical Models Of Skin Wrinklesmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas.

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Section: (C) Analytical Models Of Skin Wrinklesmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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“…The concept of incremental motions was introduced in the pioneering paper of Hayes & Rivlin [4], and since then the theory of small-on-large elastic deformations has been refined by several authors, including Destrade and co-workers [5], and Goriely [6], to cite a few of them. The small-on-large theory has revealed effective not only to analyse the stability of equilibria in solid mechanics (see, for instance, the works of Destrade, Ogden and co-workers [7][8][9][10] and references therein), but also in studying the propagation of shear waves generated by acoustic radiation forces in soft tissues [11][12][13]. Regarding the latter applications of the incremental theory, it is worth mentioning that in recent years the dynamic elastography has become an important clinical tool for the characterization of the elastic properties of soft tissues in vivo, thanks to which diseases like cancers and fibroses can be detected.…”

Section: Introductionmentioning

confidence: 99%

Linearly polarized waves of finite amplitude in pre-strained elastic materials

2019

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We study the propagation of linearly polarized transverse waves in a pre-strained incompressible isotropic elastic solid. Both finite and small-but-finite amplitude waves are examined. Irrespective of the magnitude of the wave amplitude, these waves may propagate only if the (unit) normal to the plane spanned by the directions of propagation and polarization is a principal direction of the left Cauchy–Green deformation tensor associated with the pre-strained state. A rigorous asymptotic analysis of the equations governing the propagation of waves of small but finite amplitude reveals that the time scale over which the nonlinear effects become significant depends on the direction along which the wave travels. Moreover, we design theoretically an experimental procedure to determine the Landau constants of the fourth-order weakly nonlinear theory of elasticity.

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“…Experimental observations indicate that wrinkles and creases will appear on the compressed surface of a bent rubber slab if the circumferential stretch of the inner surface reaches a critical value, i.e., the so-called bending instability occurs (Gent and Cho, 1999). This phenomenon can be predicted by the theory of incremental nonlinear elasticity (Triantafyllidis, 1980;Destrade et al, 2009a,b;Roccabianca et al, 2010;Destrade et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab

Su¹,

Wu²,

Chen³

et al. 2019

International Journal of Solids and Structures

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We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental version. We first study the static finite bending deformation of the slab. We then derive the three-dimensional equations for the onset of small-amplitude wrinkles superimposed upon the finite bending. We use the surface impedance matrix method to build a robust numerical procedure for solving the resulting dispersion equations and determining the wrinkled shape of the slab at the onset of buckling. Our analysis is valid for dielectrics modeled by a general free energy function. We then present illustrative numerical calculations for ideal neo-Hookean dielectrics. In that case, we provide an explicit treatment of the boundary value problem of the finite bending and derive closed-form expressions for the stresses and electric field in the body. For the incremental deformations, we validate our analysis by recovering existing results in more specialized contexts. We show that the applied voltage has a destabilizing effect on the bending instability of the slab, while the effect of the axial load is more complex: when the voltage is applied, changing the axial loading will influence the true electric field in the body, and induce competitive effects between the circumferential instability due to the voltage and the axial instability due to the axial compression. We even find circumstances where both instabilities cohabit to create two-dimensional patterns on the inner face of the bent sector. H 1 J 2 J flexible electrodes O 3 J A L l

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Straightening wrinkles

Cited by 18 publications

References 23 publications

Mathematical and computational modelling of skin biophysics: a review

Mathematical and computational modelling of skin biophysics: a review

Linearly polarized waves of finite amplitude in pre-strained elastic materials

Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab

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