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Soft-granular media, such as dense emulsions, foams or tissues, exhibit either fluid- or solid-like properties depending on the applied external stresses. Whereas bulk rheology of such materials has been thoroughly investigated, the…

Soft Condensed Matter · Physics 2024-07-04 Michal Bogdan , Jesus Pineda , Mihir Durve , Leon Jurkiewicz , Sauro Succi , Giovanni Volpe , Jan Guzowski

We study theoretically the formation of long-wavelength instability patterns observed at spreading of nematic droplets on liquid substrates. The role of surface-like elastic terms such as saddle-splay and anchoring in nematic films of…

Soft Condensed Matter · Physics 2013-03-04 O. V. Manyuhina , M. Ben Amar

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the mechanics behind growth-induced wrinkling instabilities in…

Pattern Formation and Solitons · Physics 2022-06-28 Sumit Mehta , Gangadharan Raju , Prashant Saxena

Curved elastic shells can be fabricated through molding or by harnessing residual stresses. These shells often exhibit snap-through behavior and multistability when loaded. We present a unique way of fabricating curved elastic shells that…

Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower.…

Self-shaping of curved structures, especially those involving flexible thin layers, has attracted increasing attention because of their broad potential applications in e.g. nanoelectromechanical/micro-electromechanical systems (NEMS/MEMS),…

Soft Condensed Matter · Physics 2015-12-17 Zi Chen , Gaoshan Huang , Ian Trase , Xiaomin Han , Yongfeng Mei

We investigate the stress-driven morphological instability of epitaxially growing multilayer films, which are coherent and dislocation-free. We construct a direct elastic analysis, from which we determine the elastic state of the system…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

The hydrodynamic stresses created by active particles can destabilise orientational order present in the system. This is manifested, for example, by the appearance of a bend instability in active nematics or in quasi-2-dimensional living…

Soft Condensed Matter · Physics 2024-06-05 Bhavesh Gautam , Juho Lintuvuori

Numerical simulations of thin sheets undergoing large deformations are computationally challenging. Depending on the scenario, they may spontaneously buckle, wrinkle, fold, or crumple. Nature's thin tissues often experience significant…

Soft Condensed Matter · Physics 2015-08-03 Roman Vetter , Norbert Stoop , Falk K. Wittel , Hans J. Herrmann

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

This article presents the potentiality of inflatable, functionally-graded auxetic membranes to produce wrinkles and necks. We obtain elastic instabilities at desired locations in axisymmetric membranes and with prescribed patterns in square…

Soft Condensed Matter · Physics 2024-06-21 Sairam Pamulaparthi Venkata , Valentina Balbi , Michel Destrade , Giuseppe Zurlo

Thin dielectric elastomers with compliant electrodes exhibit various types of instability under the action of electromechanical loading. Guided by the thermodynamically-based formulation of Fosdick and Tang (J. Elasticity 88, 255-297,…

Soft Condensed Matter · Physics 2019-08-20 G. Zurlo

We investigate wrinkling of two-dimensional random and triangular semiflexible polymer networks under shear. Both types of semiflexible networks exhibit wrinkling above a small critical shear angle, which scales with an exponent of the…

Soft Condensed Matter · Physics 2014-06-06 Pascal Müller , Jan Kierfeld

In the context of finite elasticity, we propose plate models describing the spontaneous bending of nematic elastomer thin films due to variations along the thickness of the nematic order parameters. Reduced energy functionals are deduced…

Analysis of PDEs · Mathematics 2017-02-03 Virginia Agostiniani , Antonio DeSimone

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

Soft Condensed Matter · Physics 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the influence of…

Soft Condensed Matter · Physics 2020-09-09 Michel Destrade , Irene Lusetti , Robert Mangan , Taisiya Sigaeva

Nonlinear mechanics of solids is an exciting field that encompasses both beautiful mathematics, such as the emergence of instabilities and the formation of complex patterns, as well as multiple applications. Two-dimensional crystals and van…

In this paper we focus on the mechanical properties of oligomeric glasses (waxes), employing a microscopic model that provides, via numerical simulations, information about the shear modulus of such materials, the failure mechanism via…

Soft Condensed Matter · Physics 2015-06-22 Oleg Gendelman , H. George E. Hentschel , Pankaj K. Mishra , Itamar Procaccia , Jacques Zylberg

We study the behavior of thin elastic sheets that are bent and strained under the influence of weak, smooth confinement. We show that the emerging shapes exhibit the coexistence of two types of domains that differ in their characteristic…

Soft Condensed Matter · Physics 2011-02-15 Robert D. Schroll , Eleni Katifori , Benny Davidovitch

Thin elastic sheets supported on compliant media form wrinkles under lateral compression. Since the lateral pressure is coupled to the sheet's deformation, varying it periodically in time creates a parametric excitation. We study the…

Soft Condensed Matter · Physics 2021-06-25 Haim Diamant