Creasing instability of polydomain nematic elastomers in compression

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of The Mechanics and Physics of Solids Pub Date : 2024-09-26 DOI:10.1016/j.jmps.2024.105870

Alireza Ahmadi, Neda Maghsoodi

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Abstract

Polydomain liquid crystalline (nematic) elastomers exhibit unique mechanical properties such as soft elasticity, where the material largely deforms at nearly constant stress, due to microstructural evolution. In this paper, we numerically study the effect of such remarkable soft behavior on the surface instability of a half-space polydomain nematic elastomer, which is uniformly compressed parallel to the interface under a plane-strain condition. We compare the creasing instability of nematic elastomers with that of neo-Hookean elastomers by presenting bifurcation diagrams, stress and strain development in the elastomers, energy relaxation, and surface morphology at the creased state. Our results reveal that soft elasticity stabilizes nematic elastomers in plane-strain compression. Remarkably, the critical strain and stress at which the crease nucleates depend nonlinearly on the degree of anisotropy in nematic elastomers. Moreover, we find that the morphology of the creased surface in nematic elastomers exhibits the universal cusp shape previously observed in neo-Hookean elastomers.

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多域向列弹性体在压缩过程中的褶皱不稳定性

多域液晶（向列）弹性体表现出独特的机械特性，如软弹性，即由于微结构的演变，材料在几乎恒定的应力下会发生很大程度的变形。在本文中，我们用数值方法研究了这种显著的软行为对半空多域向列弹性体表面不稳定性的影响，这种弹性体在平面应变条件下被平行于界面均匀压缩。我们通过展示分岔图、弹性体中的应力和应变发展、能量弛豫以及折皱状态下的表面形态，比较了向列弹性体与新胡肯弹性体的折皱不稳定性。我们的研究结果表明，软弹性使向列弹性体在平面应变压缩中保持稳定。值得注意的是，折痕成核的临界应变和应力与向列弹性体的各向异性程度呈非线性关系。此外，我们还发现向列弹性体中折痕表面的形态呈现出之前在新胡克康弹性体中观察到的普遍尖角形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of The Mechanics and Physics of Solids 物理-材料科学：综合

CiteScore

9.80

自引率

9.40%

发文量

276

审稿时长

52 days

期刊介绍： The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.