(浙江大學(xué) 工程力學(xué)系， 杭州 310027)
摘 要: 當(dāng)引入應(yīng)力平衡方程、 邊界條件和連續(xù)性條件時(shí)， 提出了一個(gè)描述纖維拔出過程中、 分離界面伴隨摩擦?xí)r的彈性應(yīng)力傳遞理論模型。根據(jù)最小勢(shì)能原理， 獲得了纖維和基體中所有應(yīng)力的求解和考察界面斷裂特性的分離能釋放率G的表達(dá)式，且當(dāng)引入一個(gè)界面分離準(zhǔn)則G≥Γi時(shí)，提供了一個(gè)確定臨界分離長(zhǎng)度的方法。 對(duì)纖維增強(qiáng)復(fù)合材料SiC/Ti-6Al-4V進(jìn)行了數(shù)值計(jì)算， 且和shear-lag(剪滯)理論結(jié)果作比較。
關(guān)鍵字: SiC纖維增強(qiáng)復(fù)合材料； 纖維拔出； 應(yīng)力分析； 能量釋放率
using stress functions
（ Department of Engineering Mechanics,
Zhejiang University, Hangzhou 310027, China）
Abstract: By introducing stress equilibrium equations, boundary-and continuity-conditions, a theoretical model on the elastic stress transfer with friction at the debonded interface in fiber pull-out was established. Based on the minimum complementary energy principle, all stress solutions in the fiber and matrix, an expression for the energy release rate G which explores the interfacial fracture properties were obtained. When an interfacial debonding criterion G≥Γi was introduced, a method for determining the critical debond length was provided. Numerical calculations were conducted for the fiber-reinforced composite SiC/Ti-6Al-4V and the results were compared with those obtained by using the shear-lag theories.
Key words: SiC fiber-reinforced composites; fiber pull-out; stress analysis; energy release rate
