Effective Stress and Strain in Finite Deformation
-
摘要: 重点讨论了在有限变形条件下，弹塑性理论中的等效应力、等效应变是否仍然成立．选择了平面应力和平面应变下的单向压缩应力状态，对这一问题进行了探讨．在这两种应力状态下，在众多的应力应变描述中，对数应变与旋转Kirchhoff应力得到的应力应变曲线与实验数据符合良好．Abstract: Whether the concept of effective stress and strain in elastic-plastic theory is still valid under the condition of finite deformation was mainly discussed. The uni-axial compression experiments in plane stress and plane strain states were chosen for study. In the two kinds of stress states, the stress-strain curve described by logarithm strain and rotated Kirchhoff stress matches the experiments data better than the curves defined by other stress-strain description.
-
Key words:
- finite deformation /
- plastic constitutive /
- effective stress /
- effective strain /
- volume invariability
-
[1] 黄文彬、杨青春.杆件在大变形时的弹性系数[J].力学与实践,1996,18(6)：12—14. [2] 黄文彬、杨青春.杆件有限变形时的泊松比[J].力学与实践,1997,19(3)：30—31. [3] 徐春晖、黄文彬，王红卫,等.金属有限变形问题中应力应变的选择[J].中国农业大学学报,2000,5(4)：30—34. [4] Gurson A L.Continuum theory of ductile rupture by voidnucleation and growth—Part Ⅰ：Yield criteria and flow rules for porous ductile materials[J].ASME J Eng Mater Tech,1977,99(1)：2—15. doi: 10.1115/1.3443401 [5] Miyamoto H,Kikuchi M,Kubo M.Some contribution to process zone fracture mechanics[J].Computational Mechanics,1990,6(2)：423—433. doi: 10.1007/BF00350422 [6] Needleman A.A continuum model for void nucleation by inclusion debonding[J].J Appl Mech,1987,54(3)：525—531. doi: 10.1115/1.3173064 -
点击查看大图
计量
- 文章访问数: 3451
- HTML全文浏览量: 82
- PDF下载量: 2880
- 被引次数: 0
下载:
