陶瓷相变增韧分析的新型屈服准则  

A new yield criterion for analysis of ceramic phase transformation toughening

作　　者：王振清[1] 杨增杰[1] 唐立强[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2011年第1期21-25,共5页Journal of Harbin Engineering University

基　　金：高等学校博士学科点专项基金资助项目(20060217010)

摘　　要：针对陶瓷基复合材料由于含有大量孔洞等缺陷而导致拉伸强度和压缩强度不相等的问题,引入新的参数,构建了抛物线型屈服准则,并类比塑性材料相关联流动法则,给出了陶瓷相变材料的本构方程.在平面应变条件下,采用权函数方法推导出相变对I型裂纹在静止和定常扩展条件下的增韧理论表达式.讨论了泊松比等各个参数对裂纹增韧的影响.算例结果表明,由这种新型屈服准则所计算的相变增韧与实验结果吻合的很好,并且与其他类屈服准则相比更加符合陶瓷材料的实际特点,可以为进一步研究陶瓷相变增韧提供理论支持和借鉴价值.To solve the problem of many holes and other defects which cause the difference between compressive strength and tensile strength in ceramic matrix composites,a parabolic-type yield criterion was obtained using a new parameter.Furthermore,based on an analogy with the associated flow rule in plastic material,a ceramic phase-change material constitutive equation was established.Under the plane strain condition,the theoretical toughening expressions of mode I stationary cracks and steady-state growing cracks were derived by employing the weight function method.The crack toughening effect was also discussed while considering the influence of Poisson＇s ratio.The simulation results show that these phase transformation toughening effects created by the new yield calculating criterion are in agreement with experimental results and comparable to other yield criterions;they are in accord with the actual characteristics of ceramic materials.The results obtained provide theoretical support and reference for further research of ceramic phase transformation toughening.

关 键 词：氧化锆陶瓷 屈服准则 本构模型 相变增韧 

分 类 号：O346.1[理学—固体力学]