FINITE ELEMENT CALCULATION USING A PLASTIC CONSTITUTIVE EQUATION INCORPORATING STRESS INCREMENT DIRECTIONAL DEPENDENCY

使用包含应力增量方向依赖性的塑性本构方程进行有限元计算

• 批准号: 04650092
• 负责人: GOYA Moriaki
• 金额: $ 1.34万
• 依托单位: UNIVERSITY OF THE RYUKYUS
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04650092/
• 关键词: Plasticity; Localized Necking; Constitutive Equation; Finite Element Method; Bifurcation; Shear Localization; Plasticty; Localized Shear

A constitutive theory of plastic deformation has been proposed by Goya and Ito, which can take into account the directional dependency of plastic strain increment on stress increment. The theory was developed through the introduction of two transiton parameters mu and beta, which denote the magnitude and the direction angle of plastic strain increment, respectively, and are defined to be functions of the direction angle, alpha , of the stress increment. The theory is different from the J2 corner theory proposed by Christoffersen and Hutchinson, that has been introduced in many numerical studies as an effective constitutive equation to make the localization emerge.In this research, Goya and Ito's rule and some other constitutive rules are used in the finite element analysis of a plane strain tensile test problem to investigate the effect of the stress increment directional dependency on the onset of the localzed necking.The numerical results show that shear band localization can not be observed even though the directional dependency of beta max = 30' is assumed, which is allowable for the Tresca type yield surface. The resulting deformation mode is of interesting since the past studies showed clear shear band formaiton for the material similar to the Tresca surface in terms of the acuteness of the corner.

Goya和ITO提出了塑性变形的本构理论，可以考虑到塑性应变增量对应力增量的定向依赖性。该理论是通过引入两个转运量参数MU和Beta开发的，该参数分别表示塑性应变的幅度和方向角度增量，并将其定义为应力增量的方向角度alpha的函数。该理论与Christoffersen和Hutchinson提出的J2角理论不同，该理论在许多数值研究中被引入，作为使本地化出现的有效组成方程。平面应变拉伸测试问题的有限元分析，以研究应力增量方向依赖性对局部颈部发作的影响。数值结果表明，即使beta max的方向依赖性也无法观察到剪切条带定位，即使剪切频带定位也无法观察到。假定30'，这对于TRESCA型产量表面允许。由于过去的研究表明，与Tresca表面相似的材料表明，所得的变形模式非常有趣，因为曲线的敏锐度相似。

项目成果

Moriaki GOYA,Koichi ITO,Hiroshi TAKAHASHI,Kiyohiro MIYAGI: "Determination of Constitutive Parameters by Forming Limit Tests" Proceedings of NUMISHEET'93. 209-218 (1993)

Moriaki GOYA、Koichi ITO、Hiroshi TAKAHASHI、Kiyohiro MIYAGI：“通过成形极限测试确定本构参数”NUMISHEET93 论文集。

Moriaki GOYA, Koichi ITO, Kiyohiro MIYAGI, Shosuke ITOMURA: "Shear Localization and Constitutive Law Considering Stress Increment Direction Dependency." Proceedings of WCCMIII. (To be published). (1994)

Moriaki GOYA、Koichi ITO、Kiyohiro MIYAGI、Shosuke ITOMURA：“考虑应力增量方向依赖性的剪切局部化和本构定律。”

Moriaki GOYA,Koichi ITO,Kiyohiro MIYAGI,Shosuke ITOMURA: "Shear Localization and Constitutive Law Considering Stress Increment Direction Dependency" Proceedings of WCCMIII. (投稿中). (1994)

Moriaki GOYA、Koichi ITO、Kiyohiro MIYAGI、Shosuke ITOMURA：“考虑应力增量方向依赖性的剪切局部化和本构定律”WCCMIII 论文集（1994 年）。

Moriaki GOYA: "Shear Localization and Constituive Law Considering Stress Increment Directional Dependency" Proc.of The Third World Congress on Computational Mechanics. vol.III. (1994)

Moriaki GOYA：“考虑应力增量方向依赖性的剪切局部化和本构律”第三届世界计算力学大会论文集。

Moriaki GOYA, Koichi ITO, Hiroshi TAKAHASHI, Kiyohiro MIYAGI: "Determination of Constitutive Parameters by Forming Limit Tests" Proceedings of NUMISHEET'93. 209-218 (1993)

Moriaki GOYA、Koichi ITO、Hiroshi TAKAHASHI、Kiyohiro MIYAGI：“通过成形极限测试确定本构参数”NUMISHEET93 论文集。