A modified affine theory for the overall properties of nonlinear composites

被引：19

作者：

Brenner, R ^{[1
]}

Castelnau, O

Gilormini, P

机构：

[1] Univ Paris 13, Inst Galilee, CNRS, Lab Proprietes Mecan & Thermodynam, F-93430 Villetaneuse, France

[2] CEA Saclay, CEA DEN, Serv Rech Met Appl, F-91191 Gif Sur Yvette, France

[3] Univ Paris 06, CNRS, ENS Cachan, Lab Mecan & Technol, F-94235 Cachan, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE | 2001年 / 329卷 / 09期

关键词：

solids and structures; nonlinear composites; intraphase heterogeneity; affine estimate; self-consistent scheme;

D O I：

10.1016/S1620-7742(01)01382-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The expressions of the intraphase second moments of stress and strain in heterogeneous linear thermoelastic materials are derived; they are used to quantify the intraphase heterogeneity predicted by the 'classical affine' formulation for the homogenization of nonlinear composites. By analogy with the 'modified secant' approach, a 'modified affine' formulation that accounts for intraphase heterogeneity is proposed. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：649 / 654

页数：6

共 11 条

[1]

[Anonymous], APPL MECH REV

[2]

Berveiller M., 1979, J MECH PHYS SOLIDS, V26, P325

[3] Second-order estimates of the self-consistent type for viscoplastic polycrystals [J].

Bornert, M ;

Castaneda, PP .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1979) :3035-3045

[4] THE EFFECTIVE MECHANICAL-PROPERTIES OF NONLINEAR ISOTROPIC COMPOSITES [J].

CASTANEDA, PP .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1991, 39 (01) :45-71

[5] Exact second-order estimates for the effective mechanical properties of nonlinear composite materials [J].

Castaneda, PP .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (06) :827-862

[6]

GILORIMINI P, IN PRESS CR ACAD 2B

[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] RESIDUAL-STRESSES AND STORED ELASTIC ENERGY OF COMPOSITES AND POLYCRYSTALS [J].

KREHER, W .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1990, 38 (01) :115-128

[9] An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals [J].

Masson, R ;

Bornert, M ;

Suquet, P ;

Zaoui, A .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (6-7) :1203-1227

[10]

Ponte Castaneda P, 1998, ADV APPL MECH, V34, P171

← 1 2 →