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We consider mechanically-induced pattern formation within the framework of a growing, planar, elastic rod attached to an elastic foundation. Through a combination of weakly nonlinear analysis and numerical methods, we identify how the shape…

Biological Physics · Physics 2020-06-02 Axel A. Almet , Helen M. Byrne , Philip K. Maini , Derek E. Moulton

We present a numerical study of stretching monodomain smectic-A elastomer sheets, computed using the finite element method. When stretched parallel to the layer normal the microscopic layers in smectic elastomers are unstable to a…

Soft Condensed Matter · Physics 2013-08-06 Andrew W. Brown , James M. Adams

The conditions which determine whether a material behaves in a brittle or ductile fashion on mechanical loading are still elusive and comprise a topic of active research among materials physicists and engineers. In this study, we present…

Soft Condensed Matter · Physics 2016-03-16 Jeetu S. Babu , Chandana Mondal , Surajit Sengupta , Smarajit Karmakar

Snap-buckling is a rapid shape transition in slender structures, appearing as a fundamental switching mechanism of natural and man-made systems. Boundary conditions of structures are crucial to predict and control their snap-buckling…

Soft Condensed Matter · Physics 2026-01-23 Takara Abe , Tomohiko G. Sano

We study the buckling of pressurized spherical shells by Monte Carlo simulations in which the detailed balance is explicitly broken -- thereby driving the shell active, out of thermal equilibrium. Such a shell typically has either higher…

Soft Condensed Matter · Physics 2023-09-08 Vipin Agrawal , Vikash Pandey , Dhrubaditya Mitra

We evaluate the loss of stability of axially compressed slender and thick-walled tubes subject to a residual stress distribution. The nonlinear theory of elasticity, when used to analyze the underlying deformation, shows that the residual…

Soft Condensed Matter · Physics 2025-05-13 Tao Zhang , Luis Dorfmann , Yang Liu

The equilibrium state of a flexible fiber settling in a viscous fluid is examined using a combination of macroscopic experiments, numerical simulations and scaling arguments. We identify three regimes having different signatures on this…

Measuring the mechanical properties of cells and tissues often involves indentation with a sphere, or compression between two plates. Previously, different theoretical approaches have been developed to retrieve material parameters (e.g.…

Biological Physics · Physics 2022-02-15 Etienne Couturier , Dominic Vella , Arezki Boudaoud

Many interesting shapes appearing in the biological world are formed by the onset of mechanical instability. In this work we consider how the build-up of residual stress can cause a solid to buckle. In all past studies a fictitious…

Soft Condensed Matter · Physics 2020-09-15 Pasquale Ciarletta , Michel Destrade , Artur L. Gower , Matteo Taffetani

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

Materials Science · Physics 2025-02-20 Wenqing Zhu

We present the results from a numerical investigation using the finite element method to study the buckling strength of near-perfect spherical shells containing a single, localized, Gaussian-dimple defect whose profile is systematically…

Applied Physics · Physics 2024-12-20 Uba K. Ubamanyu , Zheren Baizhikova , Jia-Liang Le , Roberto Ballarini , Pedro M. Reis

Collapse of lipidic ultrasound contrast agents under high-frequency compressive load has been historically interpreted by the vanishing of surface tension. By contrast, buckling of elastic shells is known to occur when costly compressible…

Mollusk shells are an ideal model system for understanding the morpho-elastic basis of morphological evolution of invertebrates' exoskeletons. During the formation of the shell, the mantle tissue secretes proteins and minerals that calcify…

Quantitative Methods · Quantitative Biology 2019-08-12 Shiva Rudraraju , Derek E. Moulton , Régis Chirat , Alain Goriely , Krishna Garikipati

The gravitational instability of expanding shells is discussed. Linear and nonlinear terms are included in an analytical solution in the static and homogeneous medium. We discuss the interaction of modes and give the time needed for…

Astrophysics · Physics 2007-05-23 J. Palous , R. Wunsch , S. Ehlerova

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

Soft Condensed Matter · Physics 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

A growing or compressed thin elastic sheet adhered to a rigid substrate can exhibit a buckling instability, forming an inward hump. Our study shows that the strip morphology depends on the delicate balance between the compression energy and…

Soft Condensed Matter · Physics 2016-02-17 Gaetano Napoli , Stefano S. Turzi

Thermo-responsive hydrogels are a promising material for creating controllable actuators for use in micro-scale devices, since they expand and contract significantly (absorbing or expelling fluid) in response to relatively small temperature…

Soft Condensed Matter · Physics 2022-08-18 Matthew D. Butler , Thomas D. Montenegro-Johnson

We present an experimental investigation of drying suspensions of both hard and soft nanolatex spheres. The crack formation is examined as a function of the proportion of hard and soft deformable particles, leading to tunable elastic…

Soft Condensed Matter · Physics 2010-10-26 L. Pauchard , B. Abou , K. Sekimoto

Soft particulate glasses are dense suspensions of jammed particles that flow like liquids under external shear and recover their solid-like properties almost instantly upon flow cessation. Here, we consider a dense suspension of core-shell…

Soft Condensed Matter · Physics 2024-10-16 Justine Henry , Ludovic Feige , Clara Paillard , Thibaut Divoux