Effective dynamic mass density of composites

极限(数学) 物理 长波限 复合数 基质(化学分析) 模数 有效质量(弹簧-质量系统) 质量矩阵 相对密度 机械 数学分析 材料科学 复合材料 经典力学 量子力学 数学 中微子 烧结
作者
Jun Mei,Zhengyou Liu,Weijia Wen,Ping Sheng
出处
期刊:Physical Review B [American Physical Society]
卷期号:76 (13) 被引量:90
标识
DOI:10.1103/physrevb.76.134205
摘要

The static mass density of a composite is simply the volume average of its constituents' densities. The dynamic density of a composite is defined to be the quantity that enters in evaluating the elastic wave velocity at the low-frequency limit. We show through a rigorous derivation that the effective dynamic mass density of an inhomogeneous mixture can differ from its static counterpart when the composite matrix is a fluid or, more generally, when there are relative motions between the matrix and inclusions. Derivation of the dynamic mass density expressions, involving taking the long wavelength limit of the rigorous multiple scattering theory, is detailed for the two-dimensional case. We also extend the effective dynamic mass density expression to finite frequencies where there can be low-frequency resonances. By combining both analytical and numerical approaches, negative or complex dynamic mass density is obtained for composites that contain a sufficient fraction of locally resonant inclusions. Thus, the dynamic mass density of a composite can differ from the static (volume-averaged) value even in the zero frequency limit, although both must be positive in that limit. Negative or complex dynamic mass density can occur at finite frequencies. These two results are shown to be consistent with each other, as well as related by the same underlying physics. As by-products of our rigorous derivation, we also verify some prior known results on the effective elastic moduli of composites.

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
PRIPRO完成签到,获得积分20
1秒前
FashionBoy应助haiwei采纳,获得10
1秒前
刻苦的三问完成签到,获得积分10
2秒前
Mila发布了新的文献求助60
3秒前
风中夜天完成签到,获得积分10
5秒前
sun_lin发布了新的文献求助10
6秒前
9秒前
张同学要谦虚完成签到,获得积分10
9秒前
ding应助智慧女孩采纳,获得10
10秒前
墨菲特发布了新的文献求助10
10秒前
王艺霖完成签到 ,获得积分10
12秒前
脑洞疼应助安静曼寒采纳,获得10
13秒前
13秒前
13秒前
自信河马发布了新的文献求助10
13秒前
陈美丽发布了新的文献求助20
13秒前
15秒前
haiwei发布了新的文献求助10
16秒前
风趣绯发布了新的文献求助10
17秒前
怕黑嘉懿发布了新的文献求助10
19秒前
DijiaXu应助林夕采纳,获得10
19秒前
月倚樱落时完成签到,获得积分10
22秒前
WNing发布了新的文献求助10
23秒前
23秒前
QUA应助科研通管家采纳,获得10
23秒前
丘比特应助科研通管家采纳,获得10
23秒前
23秒前
23秒前
23秒前
23秒前
23秒前
24秒前
24秒前
24秒前
归尘应助欣慰凌丝采纳,获得10
24秒前
24秒前
echo完成签到,获得积分10
26秒前
27秒前
5160完成签到,获得积分10
27秒前
极品小亮发布了新的文献求助10
28秒前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
Cognitive Neuroscience: The Biology of the Mind 1000
Technical Brochure TB 814: LPIT applications in HV gas insulated switchgear 1000
Toward a Combinatorial Approach for the Prediction of IgG Half-Life and Clearance 500
ACSM’s Guidelines for Exercise Testing and Prescription, 12th edition 500
Picture Books with Same-sex Parented Families: Unintentional Censorship 500
Nucleophilic substitution in azasydnone-modified dinitroanisoles 500
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 3969917
求助须知:如何正确求助?哪些是违规求助? 3514626
关于积分的说明 11175060
捐赠科研通 3249928
什么是DOI,文献DOI怎么找? 1795165
邀请新用户注册赠送积分活动 875617
科研通“疑难数据库(出版商)”最低求助积分说明 804891