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.
 Citation: 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.

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

• Publish Date: 1992-03-15
• Under the condition that all the perfectly plastic stress components at a crack tip are the functions of θ only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this paper, we derive the generally analytical expressions of perfectly plastic stress field at a stationary plane-strain crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the stationary tips of Mode Ⅰ, Mode Ⅱ and Mixed-Mode Ⅰ-Ⅱ plane-strain cracks are obtained. These analytical expressions contain Poisson ratio.
•  [1] 林拜松,静止裂纹尖端的理想塑性应力场,应用数学和力学,6(5)(1985), 475-421, [2] 林拜松,平面问题奇点附近的理想塑性应力场的一般解析表达式,应用数学和力学(待发表). [3] 林拜松,平面应变和反平面应变复合型裂纹尖端的理想塑性应力场,应用数学和力学,6 (9)845-852,(1985). [4] 曾国平、黄文彬,需要考虑材料泊松比的某些塑性力学问题,力学与实践,11(3)(1989),35-39.

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