On apparent properties of nonlinear heterogeneous bodies smaller than the representative volume

被引：31

作者：

Hazanov, S ^{[1
]}

机构：

[1] H Consultants, CH-1208 Geneva, Switzerland

来源：

ACTA MECHANICA | 1999年 / 134卷 / 3-4期

关键词：

D O I：

10.1007/BF01312651

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Huet's model for overall properties of specimens smaller than the representative volume is generalized on nonlinear heterogeneous elastic materials with imperfect interfaces. A modified definition for the apparent properties of heterogeneous nonlinear elastic bodies is given. The size effect relationships are established between experimental results obtained on a big specimen and on an appropriate set of smaller specimens. Hierarchies between the apparent properties of the families of specimens of different sizes are constructed.

引用

页码：123 / 134

页数：12

共 18 条

[1] A VARIATIONAL APPROACH TO THE THEORY OF THE ELASTIC BEHAVIOUR OF MULTIPHASE MATERIALS [J].

HASHIN, Z ;

SHTRIKMAN, S .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1963, 11 (02) :127-140

[2] EXTREMUM-PRINCIPLES FOR ELASTIC HETEROGENOUS MEDIA WITH IMPERFECT INTERFACES AND THEIR APPLICATION TO BOUNDING OF EFFECTIVE MODULI [J].

HASHIN, Z .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1992, 40 (04) :767-781

[3] ORDER RELATIONSHIPS FOR BOUNDARY-CONDITIONS EFFECT IN HETEROGENEOUS BODIES SMALLER THAN THE REPRESENTATIVE VOLUME [J].

HAZANOV, S ;

HUET, C .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1994, 42 (12) :1995-2011

[4] ON OVERALL PROPERTIES OF ELASTIC HETEROGENEOUS BODIES SMALLER THAN THE REPRESENTATIVE VOLUME [J].

HAZANOV, S ;

AMIEUR, M .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (09) :1289-1301

[5] Hill condition and overall properties of composites [J].

Hazanov, S .

ARCHIVE OF APPLIED MECHANICS, 1998, 68 (06) :385-394

[6] THE ELASTIC BEHAVIOUR OF A CRYSTALLINE AGGREGATE [J].

HILL, R .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1952, 65 (389) :349-355

[7] ELASTIC PROPERTIES OF REINFORCED SOLIDS - SOME THEORETICAL PRINCIPLES [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1963, 11 (05) :357-372

[8] APPLICATION OF VARIATIONAL CONCEPTS TO SIZE EFFECTS IN ELASTIC HETEROGENEOUS BODIES [J].

HUET, C .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1990, 38 (06) :813-841

[9] DAS FUNDAMENTALINTEGRAL DER ANISOTROPEN ELASTISCHEN DIFFERENTIALGLEICHUNGEN [J].

KRONER, E .

ZEITSCHRIFT FUR PHYSIK, 1953, 136 (04) :402-410

[10] BERECHNUNG DER ELASTISCHEN KONSTANTEN DES VIELKRISTALLS AUS DEN KONSTANTEN DES EINKRISTALLS [J].

KRONER, E .

ZEITSCHRIFT FUR PHYSIK, 1958, 151 (04) :504-518

← 1 2 →