Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip

Lin Bai-song

Volume 12 Issue 10

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(10): 943-950

Lin Bai-song. Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip[J]. Applied Mathematics and Mechanics, 1991, 12(10): 943-950.

Citation:

Lin Bai-song. Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip[J]. Applied Mathematics and Mechanics, 1991, 12(10): 943-950.

Citation:

Lin Bai-song. Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip[J]. Applied Mathematics and Mechanics, 1991, 12(10): 943-950.

PDF( 481 KB)

Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip

Lin Bai-song

Central-South University of Technology, Changsha

Received Date: 1989-10-10
Publish Date: 1991-10-15

Abstract

Abstract

All the stress components at a rapidly propagating crack-tip in elastic perfectly-plastic material are the functions of only. Making use of this condition and the equations of steady-state motion, plastic stress-strain relations, and Mises yield condition with Poisson ratio, in this paper, we derive the general expression of perfectly plastic field at a rapidly propagating plane-strain crack-tip. Applying this general expression with Poisson ratio to Mode I crack, the perfectly plastic field at the rapidly propagating tip of Mode I plane-strain crack is obtained. This perfectly plastic field contains a Poisson ratio, and thus, we can obtain the effect of Poisson ratio on the perfectly plastic field at the rapidly propagating tip of Mode I plane-strain crack.
- Poisson ratio,
- rapid propagation in steady-state,
- plane-strain,
- crack-tip,
- perfectly plastic field

FullText(HTML)

References(5)

References

[1]	林拜松,高速扩展裂纹尖端的理想弹塑性场,应用数学和力学,6(10) (1985),939-946.
[2]	林拜松,高速扩展平面应力裂纹尖端的理想塑性应力场,应用数学和力学,7(8) (1986),751-758.
[3]	林拜松.高速扩展裂纹尖端的各向异性塑性应力场,应用数学和力学,9(1) (1988),31-36.
[4]	林拜松,高速扩展平面应力裂纹尖端的理想塑性场,应用数学和力学,12(7)(1991),613-620.
[5]	林拜松,泊松比对静止平面应变裂纹尖端的理想塑性应力场的影响,应用数学和力学(待发表).

Relative Articles

[1]	LI Jun-lin, ZHANG Shao-qin, YANG Wei-yang. Study of Stress Field Near Interface Crack Tip of Double Dissimilar Orthotropic Composite Materials[J]. Applied Mathematics and Mechanics, 2008, 29(8): 947-953.
[2]	WANG Zhen-qing, LIANG Wen-yan, ZHOU Bo, SU Juan. Perfect Elastic-Viscoplastic Field at Mode Ⅰ Dynamic Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 2007, 28(4): 447-452.
[3]	LI Fan-chun, ZHAO Wen-sheng, TANG Long-sheng. Elastic-Viscoplastic Fieds Near The Tip of a Propagating Crack Under Anti-Plane Shear[J]. Applied Mathematics and Mechanics, 2004, 25(9): 983-990.
[4]	Ye Zhiming. The Damage Process Zone Characteristics at Crack Tip in Concrete[J]. Applied Mathematics and Mechanics, 1998, 19(1): 35-41.
[5]	Zhang Xi, Ye Yugong. Asymptotic Analysis of Plane-Strain ModeⅠSteady-State Crack Growth in Transformation Toughening Ceramics(Ⅱ)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 639-646.
[6]	Li Fanchun, Qi Hui. The Asymptotic Solution to the Antiplane Shear Dynamic Crack-Tip Field in an Elastic Strain-Softening Viscoplastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(2): 161-167.
[7]	Lin Baisong. A Supplemtary Study of Anisotropic Plastic Fields at a Rapidly Propagating Plane-Stress Crack-Tip(I)[J]. Applied Mathematics and Mechanics, 1995, 16(11): 1025-1035.
[8]	Lin Bai-song. Supplementary Study on Anisotropic Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip(Ⅰ)[J]. Applied Mathematics and Mechanics, 1993, 14(5): 407-414.
[9]	Lin Bai-song. Anisotropic Plastic Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1993, 14(2): 157-163.
[10]	Lin Bai-song. Anisotropic Plastic Fields at a Rapidly Propagating Plane-Stress Crack-Tip[J]. Applied Mathematics and Mechanics, 1993, 14(1): 25-38.
[11]	Yang Wei-yang, Zhang Shao-qin, Jia Yuan-duo. On J-lntegrals in the Plane Fracture of Composite Materials[J]. Applied Mathematics and Mechanics, 1992, 13(3): 263-269.
[12]	Cao Guang-zhong, Xu Zhi-hong. Surface Instability of Elastic Half Spaces with Hydrostatic Loading on Their Surfaces[J]. Applied Mathematics and Mechanics, 1992, 13(1): 89-102.
[13]	Lin Bai-song. Hydrostatic Stress-Dependent Perfectly-Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip[J]. Applied Mathematics and Mechanics, 1992, 13(8): 741-744.
[14]	Lin Bai-song. Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip[J]. Applied Mathematics and Mechanics, 1992, 13(3): 271-278.
[15]	Fan Ji-xia, Yuan Zu-pei. Plane-Stress Crack-Tip Stress Fields for Orthotropic Perfectly-Plastic Materials[J]. Applied Mathematics and Mechanics, 1991, 12(4): 369-374.
[16]	Lin Bai-song. Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1991, 12(7): 613-620.
[17]	Yuan Yi-wu. On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1007-1014.
[18]	Lin Bai-song. Perfectly Plastic Stress Field at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1986, 7(8): 751-758.
[19]	Lin Bai-song. Perfectly Plastic Stress Field at a Mixed-Mode Crack tip Under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1985, 6(9): 845-852.
[20]	Lin Bai-song. Elastic Perfectly-Plastic Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1985, 6(10): 939-946.