一类组合硬化金属材料的成型问题

T ·A ·安格罗夫

doi:10.3879/j.issn.1000-0887.2012.02.008

一类组合硬化金属材料的成型问题

doi: 10.3879/j.issn.1000-0887.2012.02.008

T ·A ·安格罗夫

保加利亚科学院力学研究所, 索非亚 1113, 保加利亚

详细信息

中图分类号: O176;O313.5;O344
计量
- 文章访问数: 1426
- HTML全文浏览量: 109
- PDF下载量: 731
- 被引次数: 0
出版历程
- 收稿日期: 2010-08-23
- 修回日期: 2011-11-20
- 刊出日期: 2012-02-15

On a Class of Metal-Forming Problems With Combined Hardening

T.A.Angelov

Institute of Mechanics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria

摘要

摘要: 对一类组合金属材料，即不可压缩、刚塑性、与应变率相关、各向同性、运动中硬化的材料，在非局部接触的Coulomb摩擦边界条件下，考虑其准稳定成型问题．导出一组耦合的变分公式，证明（含延迟时间的）变刚度参数法的收敛性，证明了所得结果的存在性和唯一性．
- 准稳定 /
- 刚塑性 /
- 组合硬化材料 /
- 非局部摩擦 /
- 变分分析
Abstract: A class of quasi-steady metalforming problems, with incompressible, rigidplastic, strain-rate dependent, isotropic and kinematic hardening material model and with nonlocal contact and Coulomb’s friction boundary conditions was considered. A coupled variational formulation was derived and by proving the convergence of a variable stiffness parameters method with time retardation, existence and uniqueness results were obtained.
- quasi-steady /
- rigid-plastic /
- combined hardening /
- nonlocal friction /
- variational-analysis

HTML全文

参考文献(14)

[1]	Hill R. The Mathematical Theory of Plasticity[M]. Oxford: Oxford University Press, 1950.
[2]	Cristescu N D. Dynamic Plasticity[M]. Singapore: World Scientific Publishing Co Ltd, 2007.
[3]	Zienkiewicz O C. Flow formulation for numerical solution of forming processes[C]Pittman J F T, Zienkiewicz O C, Wood R D, Alexander J M. Numerical Analysis of Forming Processes. Chichester, UK: John Wiley & Sons, 1984: 1-44.
[4]	Korneev V G, Langer U. Approximate Solution of Plastic Flow Theory Problems[M]. Teubner Texte zur Mathematik, 65. Leipzig: Teubner, 1984.
[5]	Han W, Reddy B D. Plasticity: Mathematical Theory and Numerical Analysis[M]. New York: Springer-Verlag, 1999.
[6]	Angelov T A. Variational analysis of a rigid-plastic rolling problem[J]. Int J Eng Sci, 2004, 42(17/18): 1779-1792.
[7]	Angelov T A. Existence and uniqueness of the solution of a quasi-steady rolling problem[J]. Int J Eng Sci, 2006, 44(11/12): 748-756.
[8]	Angelov T A. Modelling and analysis of a class of metal-forming problems[J]. Adv Appl Math Mech, 2010, 2(6): 722-745.
[9]	Angelov T A. Modelling and numerical approach to a class of metal-forming problems—quasi-steady case[J]. Math Meth Appl Sci, 2011, 34(11): 1330-1338.
[10]	Glowinski R. Numerical Methods for Nonlinear Variational Problems[M]. Berlin: Springer-Verlag, 1984.
[11]	Duvaut G, Lions J-L. Inequalities in Mechanics and Physics[M]. Berlin: Springer-Verlag, 1976.
[12]	Kikuchi N, Oden J T. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods[M]. Philadelphia PA: SIAM, 1988.
[13]	Han W, Sofonea M. Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity[M]. Providence RI: AMS-Intl Press, 2002.
[14]	Shillor M, Sofonea M, Telega J J. Models and Variational Analysis of Quasistatic Contact[M]. Lecture Notes in Physics, 655. Berlin: Springer, 2004.