Ⅰ-Ⅱ混合型裂纹相变增韧分析
Toughening Analysis of Mixed-ModeⅠ-ⅡCracks in Transformation Toughened Ceramics
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摘要: 采用压力敏感准则和权函数法对相变增韧陶瓷Ⅰ-Ⅱ混合型裂纹的增韧效应进行了理论预测,分别给 出了静止裂纹和定常扩展裂纹相变塑性屏蔽的理论表达式。结果表明:相变对静止裂纹有负屏蔽效应,并随 KⅡ/KⅠ的比值增大而增大;对定常扩展裂纹的增韧结果除与材料弹性模量、相变尾区高度和相变体积分数有关 外,还随KⅡ/KⅠ的比值增大而减小。Abstract: By use of the pressure sensitive stress criterion and the method of weight function, the fracture toughness enhancement induced bymixed modeⅠ-Ⅱcracks in phase transformation toughened ceramics is predicted theoretically. The theoretical expressions for the toughening effects of both the stationary and the steady-state growing cracks are given respectively. Results show that there is a negative effect from the stationary cracks and it increaseswith the increase ofKⅠ/KⅡ, and that the toughening effect of the steady- state growing cracks is not only associated with the modulus of elasticity, the width of transformation area and the transformation volume fraction, but also decreases with the increase ofKⅠ/KⅡ.
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Key words:
- ceramics /
- cracks /
- phase transformation /
- weight function
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