The elastic fields of a compressible liquid inclusion

被引：48

作者：

Chen, Xin ^{[1
,2
,3
]}

Li, Moxiao ^{[1
,2
,3
]}

Yang, Mao ^{[1
,2
,3
]}

Liu, Shaobao ^{[3
,4
]}

Genin, Guy M. ^{[3
,4
,5
]}

Xu, Feng ^{[3
,4
]}

Lu, Tian Jian ^{[1
,2
,3
]}

机构：

[1] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Key Lab Multifunct Mat & Struct, MOE, Xian 710049, Shaanxi, Peoples R China

[3] Xi An Jiao Tong Univ, BEBC, Xian 710049, Shaanxi, Peoples R China

[4] Xi An Jiao Tong Univ, Minist Educ, Key Lab Biomed Informat Engn, Xian 710049, Shaanxi, Peoples R China

[5] Washington Univ, US Natl Sci Fdn Sci & Technol, Ctr Engn Mechanobiol, St Louis, MO 63130 USA

来源：

EXTREME MECHANICS LETTERS | 2018年 / 22卷

基金：

美国国家卫生研究院; 美国国家科学基金会; 中国国家自然科学基金;

关键词：

Liquid inclusion; Liquid compressibility; Inclusion theory; Solid-liquid interaction; TISSUE STRAIN; CELL; MECHANICS; RIGIDITY; TENSION; STRESS; MATRIX; PORES;

D O I：

10.1016/j.eml.2018.06.002

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Elastic composites containing liquid inclusions exist widely in rocks, food, tissues and hydrogels. We investigate a single ellipsoidal compressible liquid inclusion embedded in an infinite elastic matrix, such as an isolated cell embedded in an extracellular matrix or an oil or gas pocket embedded within shale. We first derive the displacement and stress fields in the matrix under far field loading. For the special case of a spherical inclusion, we arrive at simple, explicit expressions for these fields. We next focus on the shape evolution of the liquid inclusion and the stress concentration in the matrix, from which we identify when the effect of liquid compressibility is most significant. Finally, we classify common examples of liquid inclusions in nature and engineering. According to our theoretical results, we estimate the importance of liquid compressibility in these examples and provide guidelines for further application of the theory of liquid inclusions in practical situations. (c) 2018 Elsevier Ltd. All rights reserved.

引用

页码：122 / 130

页数：9

共 46 条

[1]

[Anonymous], 2011, TREATISE MATH THEORY

[2]

[Anonymous], 2006, Microporomechanics

[3]

Biot M.A., 1941, J APPL PHYS, V12

[4] ELASTIC-MODULI OF A CRACKED SOLID [J].