A consistent plasticity theory of incompressible and hydrostatic pressure sensitive metals

被引：16

作者：

Aretz, Holger ^{[1
]}

机构：

[1] Hydro Aluminium Deutsch GmbH, Res & Dev, D-53117 Bonn, Germany

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2007年 / 34卷 / 04期

关键词：

metal plasticity; rate-independent; hydrostatic pressure sensitivity; flow-rule;

D O I：

10.1016/j.mechrescom.2007.01.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this article a rate-independent plasticity theory is presented that aims at describing the plastic behavior of incompressible, but hydrostatic pressure sensitive metals as experimentally observed by Spitzig and Richmond [Spitzig, W.A., Richmond, O., 1984. The effect of pressure on the flow stress of metals. Acta Metallurgica 32, 457-463]. The presented theory leads consistently to a non-associated flow-rule, without the need of introducing an arbitrary potential function. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：344 / 351

页数：8

共 10 条

[1] A less hypothetical perspective on rate-independent continuum theory of metal plasticity [J].

Aretz, H .

MECHANICS RESEARCH COMMUNICATIONS, 2006, 33 (05) :734-738

[2]

Belytschko T., 2000, Nonlinear Finite Elements for Continua and Structures

[3]

Betten J, 2001, KONTINUUMSMECHANIK

[4] RESEARCH NOTE ON QUASI-CONVEXITY OF THE YIELD FUNCTION AND ITS RELATION TO DRUCKER POSTULATE [J].

FRANCHI, A ;

GENNA, F ;

PATERLINI, F .

INTERNATIONAL JOURNAL OF PLASTICITY, 1990, 6 (03) :369-375

[5]

Gambin W., 2001, PLASTICITY TEXTURES

[6] THE DIFFERENCE BETWEEN TENSION AND COMPRESSION STRESS-STRAIN CURVES, AS INTERPRETED BY THE INFLUENCE OF HYDROSTATIC-PRESSURE [J].

HERBERTZ, R ;

WIEGELS, H .

ARCHIV FUR DAS EISENHUTTENWESEN, 1980, 51 (10) :413-416

[7]

Hill R, 1998, The mathematical theory of plasticity

[8] THE EFFECT OF PRESSURE ON THE FLOW-STRESS OF METALS [J].

SPITZIG, WA ;

RICHMOND, O .

ACTA METALLURGICA, 1984, 32 (03) :457-463

[9] PRESSURE-DEPENDENCE OF YIELDING AND ASSOCIATED VOLUME EXPANSION IN TEMPERED MARTENSITE [J].

SPITZIG, WA ;

SOBER, RJ ;

RICHMOND, O .

ACTA METALLURGICA, 1975, 23 (07) :885-893

[10] A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming [J].

Stoughton, TB ;

Yoon, JW .

INTERNATIONAL JOURNAL OF PLASTICITY, 2004, 20 (4-5) :705-731

← 1 →