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短裂纹随机行为与金属疲劳损伤的理论分析
A THEORETICAL ANALYSIS ON STOCHASTIC BEHAVIOUR OF SHORT CRACKS AND FATIGUE DAMAGE OF METALS
【摘要】 近似求解了微裂纹演化系统随机偏微分方程.结果表明:当裂纹扩展速率的随机偏差正比于其平均速率时,材料损伤不随裂纹随机行为而变化.同时,还讨论了金属疲劳损伤随机波动程度的变化趋势.
【Abstract】 In this paper, the closed form of solution to the stochastic differential equation for fatigue crack evolution systems is derived, and the relationship between metal fatigue damage and crack stochastic behaviour is investigated. It is found that the damage extent of metals is independent of crack stochastic behaviour if the stochastic deviation of crack growth rate is directly proportional to its mean value. The evolution of stochastic deviation of metal fatigue damage in the stage close to final fracture is also discussed.
【关键词】 短裂纹;
裂纹数密度;
裂纹扩展速率;
随机行为;
疲劳损伤;
【Key words】 short cracks; crack numerical density; stochastic behaviour; fatigue damage; crack growth rate;
【Key words】 short cracks; crack numerical density; stochastic behaviour; fatigue damage; crack growth rate;
【基金】 国家自然科学基金,国家杰出青年科学基金,中国科学院资助
- 【文献出处】 固体力学学报 ,ACTA MECHANICA SOLIDA SINICA , 编辑部邮箱 ,1998年02期
- 【分类号】O346.5
- 【被引频次】12
- 【下载频次】253