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This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulations. In…

Numerical Analysis · Mathematics 2023-07-12 Giang Huynh , Xiaoying Zhuang , Hoang-Giang Bui , G. Meschke , Hung Nguyen-Xuan

A theoretical and experimental study of the fragmentation of closed thin shells made of a disordered brittle material is presented. Experiments were performed on brown and white hen egg-shells under two different loading conditions:…

Statistical Mechanics · Physics 2011-03-28 F. K. Wittel , F. Kun , H. J. Herrmann , B. -H. Kroeplin

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In…

Condensed Matter · Physics 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

When an inextensible elastic rod is 'injected' through a sliding sleeve against a fixed constraint, configurational forces are developed, deeply influencing the mechanical response. This effect, which is a consequence of the change in…

Soft Condensed Matter · Physics 2015-09-22 F. Bosi , D. Misseroni , F. Dal Corso , D. Bigoni

Shells, i.e., objects made of a thin layer of material following a surface, are among the most common structures in use. They are highly efficient, in terms of material required to maintain strength, but also prone to deformation and…

Graphics · Computer Science 2019-04-30 Francisca Gil-Ureta , Nico Pietroni , Denis Zorin

We discuss various situations where the formation of rocky coast morphology can be attributed to the retro-action of the coast morphology itself on the erosive power of the sea. Destroying the weaker elements of the coast, erosion can…

Statistical Mechanics · Physics 2012-02-21 Andrea Baldassarri , Bernard Sapoval , Simon Félix

The detachment of material in an adhesive wear process is driven by a fracture mechanism which is controlled by a critical length-scale. Previous efforts in multi-asperity wear modeling have applied this microscopic process to rough elastic…

Soft Condensed Matter · Physics 2020-09-16 Lucas Frérot , Guillaume Anciaux , Jean-François Molinari

The three-dimensional shapes of thin lamina such as leaves, flowers, feathers, wings etc, are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric, given on the…

Analysis of PDEs · Mathematics 2014-01-09 Marta Lewicka , L. Mahadevan , Mohammad Reza Pakzad

The appearance and disappearance of shells and subshells are determined using a previously introduced method of structural analysis. This work extends the approach and applies it to protons, in addition to neutrons, in an attempt to provide…

Nuclear Theory · Physics 2016-04-28 I. Bentley , Y. Colon Rodrıguez , S. Cunningham , A. Aprahamian

In this tutorial, we provide a coordinate-free derivation of the system of equations that govern equilibrium of a thin shell that can undergo shear. This system involves tensorial fields representing the internal force and couple per unit…

Classical Physics · Physics 2024-11-26 Giuseppe Tomassetti

How much energy does it take to stamp a thin elastic shell flat? Motivated by recent experiments on the wrinkling patterns of floating shells, we develop a rigorous method via $\Gamma$-convergence for answering this question to leading…

Analysis of PDEs · Mathematics 2021-02-17 Ian Tobasco

In this article we construct cylindrical thin-shell wormholes in the context of global cosmic strings. We study the stability of static configurations under perturbations preserving the symmetry and we find that the throat tends to collapse…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cecilia Bejarano , Ernesto F. Eiroa , Claudio Simeone

Indentation tests are largely exploited in experiments to characterize the mechanical and fracture properties of the materials from the resulting crack patterns. This work proposes an efficient theoretical and computational framework, whose…

Materials Science · Physics 2023-06-26 Maria Rosaria Marulli , Jacopo Bonari , Josè Reinoso , Marco Paggi

Based on previous work for the static problem, in this paper we first derive one form of dynamic finite-strain shell equations for incompressible hyperelastic materials that involve three shell constitutive relations. In order to single out…

Computational Engineering, Finance, and Science · Computer Science 2020-12-16 Xiang Yu , Yibin Fu , Hui-Hui Dai

Experiments on quasistatic crack propagation in gelatin hydrogels reveal a new branching instability triggered by wetting the tip opening with a drop of aqueous solvent less viscous than the bulk one. We show that the emergence of unstable…

Soft Condensed Matter · Physics 2016-09-08 T. Baumberger , O. Ronsin

We study the internal structure of the proton and propose a shell structure model of the proton. Based on the mass distribution and mass radius of proton we analyze the experiments at different energy scales and conclude that there should…

High Energy Physics - Phenomenology · Physics 2021-07-30 Wei Kou , Chengdong Han , Xurong Chen

We study at the laboratory scale the rupture of thin floating sheets made of a brittle material under a wave-induced mechanical forcing. We show that the rupture occurs where the curvature is maximum and the break-up threshold strongly…

Fluid Dynamics · Physics 2025-12-10 Baptiste Auvity , Laurent Duchemin , Antonin Eddi , Stéphane Perrard

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

The rheological behavior of polymer melts is strongly influenced by parameters such as chain length, chain stiffness, and architecture. In particular, shear thinning, characterized by a power-law decrease in shear viscosity with increasing…

Soft Condensed Matter · Physics 2026-03-17 Yuhi Sakamaki , Shota Goto , Kang Kim , Nobuyuki Matubayasi

We investigate the influence of curvature and topology on crystalline wrinkling patterns in generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal…

Soft Condensed Matter · Physics 2015-09-23 Francisco López Jiménez , Norbert Stoop , Romain Lagrange , Jörn Dunkel , Pedro M. Reis
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