AXISYMMETRICAL DEFORMATION OF POWER-LAW SOLIDS CONTAINING A DILUTE CONCENTRATION OF ALIGNED SPHEROIDAL VOIDS

被引：100

作者：

LEE, BJ

MEAR, ME

机构：

[1] Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 1992年 / 40卷 / 08期

关键词：

D O I：

10.1016/0022-5096(92)90052-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

THE MACROSCOPIC response of an incompressible power-law matrix containing a dispersion of aligned, spheroidal voids is investigated. Attention is restricted to dilute concentrations of voids and to axisymmetric deformation of the solid. The essential step in the analysis is the solution of a kernel problem for an isolated void, and this solution is obtained accurately and efficiently using a Ritz procedure developed for this purpose. Results for macroscopic strain-rates are presented for void shapes ranging from penny-shaped cracks to infinitely long circular cylinders and for a wide range of triaxialities and matrix hardening exponents. These results are used to assess the role of void shape on the overall response of porous solids.

引用

页码：1805 / 1836

页数：32

共 28 条

[1] THE EFFECT OF VOID SHAPE ON VOID GROWTH AND DUCTILITY IN AXISYMMETRIC TENSION TESTS [J].

BECKER, R ;

SMELSER, RE ;

RICHMOND, O ;

APPLEBY, EJ .

METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1989, 20 (05) :853-861

[2]

BECKER RC, 1989, J MECH PHYS SOLIDS, V37, P515

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

BUDIANSKY, B ;

OCONNELL, RJ .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1976, 12 (02) :81-97

[4]

Budiansky B., 1982, MECH SOLIDS, P13

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

CASTANEDA, PP .

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

[6] CONSTITUTIVE POTENTIALS FOR DILUTELY VOIDED NONLINEAR MATERIALS [J].

DUVA, JM ;

HUTCHINSON, JW .

MECHANICS OF MATERIALS, 1984, 3 (01) :41-54

[7] 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

[8] VOID GROWTH IN SHEAR [J].

FLECK, NA ;

HUTCHINSON, JW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 407 (1833) :435-458

[9] CONTINUUM THEORY OF DUCTILE RUPTURE BY VOID NUCLEATION AND GROWTH .1. YIELD CRITERIA AND FLOW RULES FOR POROUS DUCTILE MEDIA [J].

GURSON, AL .

JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 1977, 99 (01) :2-15

[10] THE PENNY-SHAPED CRACK AND THE PLANE-STRAIN CRACK IN AN INFINITE BODY OF POWER-LAW MATERIAL [J].

HE, MY ;

HUTCHINSON, JW .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1981, 48 (04) :830-840

← 1 2 3 →