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功能梯度材料受冲击载荷作用裂纹尖端应力场
引用本文:毕贤顺,周继忠,石岩. 功能梯度材料受冲击载荷作用裂纹尖端应力场[J]. 辽宁工程技术大学学报(自然科学版), 2009, 28(5)
作者姓名:毕贤顺  周继忠  石岩
作者单位:福建工程学院,土木工程系,福建,福州,350007
基金项目:福建省科技厅基金资助项目(2008F5005):福建工程学院科研发展基金资助项目 
摘    要:针对在经典弹性动力学范围内,裂纹尖端应力的奇异性未得到解决这一问题,根据非局部线弹性理论,研究含裂纹无限板在反平面冲击载荷作用下的问题.假设裂纹突然受到均匀载荷作用,材料的剪切模量和密度为指数形式模型,泊松比为常数.利用拉普拉斯和傅立叶变换将混合边界值问题简化为对偶积分方程,并得到裂纹尖端应力场的解析解答.

关 键 词:功能梯度材料  裂纹  应力场  积分变换  对偶积分方程

Theoretical analysis of crack-tip stress fields in FGMs under anti-plane shear impact loading
BI Xianshun,ZHOU Jizhong,SHI Yan. Theoretical analysis of crack-tip stress fields in FGMs under anti-plane shear impact loading[J]. Journal of Liaoning Technical University (Natural Science Edition), 2009, 28(5)
Authors:BI Xianshun  ZHOU Jizhong  SHI Yan
Affiliation:BI Xianshun,ZHOU Jizhong,SHI Yan(Department of Civil Engineering,Fujian University of Technology,Fuzhou 350007,China)
Abstract:Recently a new class of engineered materials,namely functionally graded materials(FGMs),have been developed primarily for high temperature applications.FGMs are two component material systems,in which the material composition is spatially varied to suit the particular application.In this paper,the geometry of an infinite cracked plate under anti-plane shear impact loading will be investigated using non-local linear elasticity theory.The crack is assumed to occur suddenly in a uniformly loaded elastic body.T...
Keywords:functionally graded materials  crack  stress field  integral transforms  dual integral equations  
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