Elastomers filled with liquid inclusions: Theory, numerical implementation, and some basic results

超弹性材料 材料科学 弹性体 均质化(气候) 弹性(物理) 复合材料 机械 经典力学 有限元法 热力学 物理 生物多样性 生态学 生物
作者
Kamalendu Ghosh,Oscar Lopez‐Pamies
出处
期刊:Journal of The Mechanics and Physics of Solids [Elsevier BV]
卷期号:166: 104930-104930 被引量:34
标识
DOI:10.1016/j.jmps.2022.104930
摘要

Experimental and theoretical results of late have pointed to elastomers filled with various types of liquid inclusions as a promising new class of materials with unprecedented properties. Motivated by these findings, the first of two objectives of this paper is to formulate the homogenization problem that describes the macroscopic mechanical response of elastomers filled with liquid inclusions under finite quasistatic deformations. The focus is on the non-dissipative case when the elastomer is a hyperelastic solid, the liquid making up the inclusions is a hyperelastic fluid, the interfaces separating the solid elastomer from the liquid inclusions feature their own hyperelastic behavior (which includes surface tension as a special case), and the inclusions are initially spherical in shape. The macroscopic behavior of such filled elastomers turns out to be that of a hyperelastic solid, albeit one that depends directly on the size of the inclusions and the constitutive behavior of the interfaces. It is hence characterized by an effective stored-energy function W ¯ ( F ¯ ) of the macroscopic deformation gradient F ¯ . Strikingly, in spite of the fact that there are local residual stresses within the inclusions (due to the presence of initial interfacial forces), the resulting macroscopic behavior is free of residual stresses, that is, ∂ W ¯ ( I ) / ∂ F ¯ = 0 . What is more, in spite of the fact that the local moduli of elasticity in the bulk and the interfaces in the small-deformation limit do not possess minor symmetries (due to the presence of residual stresses and initial interfacial forces), the resulting effective modulus of elasticity does possess the standard minor symmetries, that is, L ¯ i j k l = L ¯ j i k l = L ¯ i j l k , where L ¯ i j k l ≔ ∂ 2 W ¯ ( I ) / ∂ F ¯ i j ∂ F ¯ k l . The second objective of this paper is to implement and deploy a finite-element scheme to numerically generate solutions for the macroscopic response of a basic class of elastomers filled with liquid inclusions, that of isotropic suspensions of incompressible liquid inclusions of monodisperse size embedded in incompressible Neo-Hookean elastomers wherein the interfaces feature a constant surface tension. With guidance from the numerical solutions, the last part of this paper is devoted to proposing a simple explicit approximation for the effective stored-energy function W ¯ ( F ¯ ) .
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
睡到自然醒完成签到 ,获得积分10
刚刚
cis2014完成签到,获得积分10
2秒前
独特的大有完成签到 ,获得积分10
2秒前
量子星尘发布了新的文献求助10
3秒前
5秒前
xingyi完成签到,获得积分10
7秒前
8秒前
舒心的秋荷完成签到 ,获得积分10
11秒前
zz123发布了新的文献求助10
12秒前
liaomr完成签到 ,获得积分10
12秒前
粗犷的灵松完成签到,获得积分10
13秒前
吃小孩的妖怪完成签到 ,获得积分10
13秒前
ncuwzq完成签到,获得积分10
15秒前
yshj完成签到 ,获得积分10
16秒前
18秒前
净禅完成签到 ,获得积分10
20秒前
22秒前
迷人的寒风完成签到,获得积分10
23秒前
23秒前
water应助科研通管家采纳,获得10
24秒前
Lucas应助HHHAN采纳,获得10
26秒前
无情修杰完成签到 ,获得积分10
27秒前
小柒完成签到 ,获得积分10
29秒前
聪慧芷巧发布了新的文献求助10
30秒前
31秒前
35秒前
蓝意完成签到,获得积分0
36秒前
xiaohongmao完成签到,获得积分10
41秒前
44秒前
qweerrtt完成签到,获得积分10
51秒前
51秒前
与共发布了新的文献求助10
52秒前
carly完成签到 ,获得积分10
53秒前
颢懿完成签到 ,获得积分10
56秒前
量子星尘发布了新的文献求助10
57秒前
59秒前
ljc完成签到 ,获得积分10
1分钟前
Java完成签到,获得积分10
1分钟前
1分钟前
鲤鱼安青完成签到 ,获得积分10
1分钟前
高分求助中
【提示信息,请勿应助】关于scihub 10000
Les Mantodea de Guyane: Insecta, Polyneoptera [The Mantids of French Guiana] 3000
徐淮辽南地区新元古代叠层石及生物地层 3000
The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory 3000
Handbook of Industrial Diamonds.Vol2 1100
Global Eyelash Assessment scale (GEA) 1000
Picture Books with Same-sex Parented Families: Unintentional Censorship 550
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 4038066
求助须知:如何正确求助?哪些是违规求助? 3575779
关于积分的说明 11373801
捐赠科研通 3305584
什么是DOI,文献DOI怎么找? 1819239
邀请新用户注册赠送积分活动 892655
科研通“疑难数据库(出版商)”最低求助积分说明 815022