The Porosity-dependence of Bulk Modulus of Dry Porous Materials

被引：1

作者：

Zhao, Rong ^{[1
,2
]}

Li, Chunguang ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China

[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPLIED MECHANICS | 2021年 / 13卷 / 08期

关键词：

Porous materials; porosity; bulk modulus; Mackenzie's equation; critical porosity; EFFECTIVE ELASTIC-MODULI; ULTRASONIC VELOCITY; POISSONS RATIO; BEHAVIOR;

D O I：

10.1142/S1758825121500927

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

By semi-analytical modifications to Mackenzie's equation, a new third-order relation between bulk modulus and porosity is developed for porous materials. Compared with Mackenzie's equation, the proposed equation takes into consideration critical porosity and real geometry represented by the assembly of hollow spheres. It has been shown that the proposed equation is in better agreement with 10 sets of published data than Mackenzie's equation and that has an advantage in predicting the matrix bulk modulus even lack of the data of dense porous specimens. In addition, the proposed equation can describe the bulk modulus of porous materials with critical porosity well. However, Mackenzie's equation cannot work.

引用

页数：22

共 42 条

[1]

Breeding S. K., 1988, OCEANS '88 - A Partnership of Marine Interests. Proceedings (IEEE Cat. No.88-CH2585-8), P391, DOI 10.1109/OCEANS.1988.23533

[2]

CHEN HS, 1978, INT J SOLIDS STRUCT, V14, P349, DOI 10.1016/0020-7683(78)90017-3

[3] Mechanics of cellular and other low-density materials [J].

Christensen, RM .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (1-2) :93-104

[4] EFFECT OF POROSITY ON PHYSICAL PROPERTIES OF SINTERED ALUMINA [J].

COBLE, RL ;

KINGERY, WD .

JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1956, 39 (11) :377-385

[5] EMPIRICAL DEPENDENCE OF ELASTIC-MODULI ON POROSITY FOR CERAMIC MATERIALS [J].

DEAN, EA ;

LOPEZ, JA .

JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1983, 66 (05) :366-370

[6] THE ELASTIC CONSTANTS OF MATERIALS LOADED WITH NON-RIGID FILLERS [J].

DEWEY, JM .

JOURNAL OF APPLIED PHYSICS, 1947, 18 (06) :578-581

[7]

Dole S. L., 1977, ELASTIC PROPERTIES M, DOI [10.2172/5003837, DOI 10.2172/5003837]

[8] THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].

ESHELBY, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396

[9] Critical porosity and elastic properties of microporous mixed carbonate-siliciclastic rocks [J].

Fournier, F. ;

Borgomano, J. .

GEOPHYSICS, 2009, 74 (02) :E93-E109

[10]

Greaves GN, 2011, NAT MATER, V10, P823, DOI [10.1038/NMAT3134, 10.1038/nmat3134]

← 1 2 3 4 5 →