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An innovative technique, called conversion, is introduced to model circumferential cracks in thin cylindrical shells. The semi-analytical finite element method is applied to investigate the modal deformation of the cylinder. An element…

Numerical Analysis · Mathematics 2021-07-21 Ali Alijani , Olga Barrera , Stephane P. A. Bordas

Snapping of a slender structure is utilized in a wide range of natural and man-made systems, mostly to achieve rapid movement without relying on muscle-like elements. Although several mechanisms for elastic energy storage and rapid release…

Soft Condensed Matter · Physics 2019-03-27 Tomohiko G. Sano , Hirofumi Wada

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 revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder we deduce an estimate of the sensitivity of the shell to imperfections. Key to…

Analysis of PDEs · Mathematics 2007-05-23 Jiri Horak , Gabriel J. Lord , Mark A. Peletier

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can…

Disordered Systems and Neural Networks · Physics 2011-04-28 Zoltan Halasz , Ferenc Kun

The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and…

Pattern Formation and Solitons · Physics 2019-04-24 Leonardo Gordillo , Edgar Knobloch

Two novel single-period cracks were observed in experiments of cutting a folded sheet with a blunt object and tearing a thin brittle sheet under the guidance of a meterstick. Additionally, we observed a period-doubling crack in the tearing…

Soft Condensed Matter · Physics 2020-12-11 Chuang-Shi Shen , Chun-Lin Du , Huan-Fang Wang , Chao Zhang

Stationary whirling of slender and homogeneous (continuous) elastic shafts rotating around their axis, with pin-pin boundary condition at the ends, is revisited by considering the complete deformations in the cross section of the shaft. The…

Soft Condensed Matter · Physics 2020-03-18 S. Mora

We study the deformation of a fluctuating crystalline sheet confined between two flat rigid walls as a simple model for layered solids where bonds among atoms {\it within} the same layer are much stronger than those {\it between} layers.…

Soft Condensed Matter · Physics 2020-07-02 Debankur Das , Jürgen Horbach , Peter Sollich , Tanusri Saha-Dasgupta , Surajit Sengupta

A plethora of two-dimensional (2D) materials entered the physics and engineering scene in the last two decades. Their robust, membrane-like sheet permit -- mostly require -- deposition, giving rise to solid-solid dry interfaces whose bodily…

Materials Science · Physics 2023-06-01 Jin Wang , Ali Khosravi , Andrea Vanossi , Erio Tosatti

A thin, elastic sheet floating on the surface of a liquid bath wrinkles when poked at its centre. We study the onset of wrinkling as well as the evolution of the pattern as indentation progresses far beyond the wrinkling threshold. We use…

Soft Condensed Matter · Physics 2018-07-31 Dominic Vella , Benny Davidovitch

We investigate the dissipative mechanisms exhibited by creased material sheets when subjected to mechanical loading, which comes in the form of plasticity and relaxation phenomena within the creases. After demonstrating that plasticity…

Soft Condensed Matter · Physics 2020-09-30 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Volume alteration in solid materials is a common cause of material failure. Here we investigate the crack formation in thin elastic layers attached to a substrate. We show that small variations in the volume contraction and substrate…

Materials Science · Physics 2015-05-13 Yossi Cohen , Joachim Mathiesen , Itamar Procaccia

The study of atomically thin two-dimensional materials is a young and rapidly growing field. In the past years, a great advance in the study of the remarkable electrical and optical properties of 2D materials fabricated by exfoliation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Andres Castellanos-Gomez , Vibhor Singh , Herre S. J. van der Zant , Gary A. Steele

The rheology of dense amorphous materials under large shear strain is not fully understood, partly due to the difficulty of directly viewing the microscopic details of such materials. We use a colloidal suspension to simulate amorphous…

Soft Condensed Matter · Physics 2010-03-24 Dandan Chen , Denis Semwogerere , Jun Sato , Victor Breedveld , Eric R. Weeks

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

Soft Condensed Matter · Physics 2019-03-06 Nicolás A. García , Jean-Louis Barrat

Modeling folding surfaces with nonzero thickness is of practical interest for mechanical engineering. There are many existing approaches that account for material thickness in folding applications. We propose a new systematic and broadly…

Computational Geometry · Computer Science 2016-01-22 Jason S. Ku , Erik D. Demaine

We show that geometric confinement dramatically affects the shear-induced configurations of dense mono-disperse colloidal suspensions; a new structure emerges, where layers of particles buckle to stack in a more efficient packing. The…

Soft Condensed Matter · Physics 2009-11-10 Itai Cohen , Thomas G. Mason , David A. Weitz

In this work we analyze and address a fundamental restriction that blocks the reliable application of codimensional yarn-level and shell models with thickness, to simulate real-world woven and knit fabrics. As discretizations refine toward…

Graphics · Computer Science 2025-10-14 Gonzalo Gomez-Nogales , Zhen Chen , Rosalie Martin , Elena Garces , Danny M. Kaufman

Beams made from thin-walled elements, whilst very efficient in terms of the structural strength and stiffness to weight ratios, can be susceptible to highly complex instability phenomena. A nonlinear analytical formulation based on…

Pattern Formation and Solitons · Physics 2015-03-19 M. Ahmer Wadee , Leroy Gardner