[1]程站起,金建洲.任意梯度分布功能梯度板条平面裂纹分析[J].西安建筑科技大学学报:自然科学版,2011,43(05):741-746.[doi:DOI :10.15986/j .1006-7930.2011.05.024]
 CHEN GZhan-qi,J IN J ian-z hou.Plane crack problem for functionally graded strip witharbitrarily distributed properties[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2011,43(05):741-746.[doi:DOI :10.15986/j .1006-7930.2011.05.024]
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任意梯度分布功能梯度板条平面裂纹分析()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
43
期数:
2011年05期
页码:
741-746
栏目:
出版日期:
2011-10-31

文章信息/Info

Title:
Plane crack problem for functionally graded strip with
arbitrarily distributed properties
文章编号:
1006-7930(2011)05-0741-06
作者:
程站起 金建洲
(郑州大学土木工程学院, 河南郑州45001)
Author(s):
CHEN GZhan-qi J IN J ian-z hou
(Schoo l o f Civil Eng ineering , Zhengzhou Univer sity , Zheng zhou 450001 , China)
关键词:
功能梯度材料分层模型裂纹应力强度因子
Keywords:
unctionally graded materials multi-lay ered model crack stress intensity f actors .
分类号:
O341
DOI:
DOI :10.15986/j .1006-7930.2011.05.024
文献标志码:
A
摘要:
提出一种可以分析任意梯度功能梯度材料的分层模型, 并采用该模型研究功能梯度板条平面裂纹问
题.采用Fourier 变换和传递矩阵法将该混合边值问题化为奇异积分方程组, 通过数值求解获得应力强度因
子.考察了分层模型的有效性, 还讨论了材料梯度变化形式、结构几何尺寸和材料梯度参数对裂纹应力强度
因子的影响, 发现结构几何尺寸、材料梯度变化形式、以及材料梯度参数均对应力强度因子有显著影响
Abstract:
In this paper , a multi-laye red mo del is developed and the pla ne ela sticity pro blem for a functionally g raded st rip
co ntaining a crack has been considered by using this model.By utilizing the Fourier tr ansfo rmatio n technique and the
transfer matrix metho d, the mixed boundary problem is reduced to a sy stem of sing ular integ ral equa tions that are solved
numerically .The influences of the gr aded v aria tion of materia l pa rameters and geome tric pa rameters on the stress intensity
factor s are investig ated.The numerical results show tha t the g raded va riation of material parame te r ha s sig nificant
effects o n the stress intensity facto rs

参考文献/References:

References
[ 1]  DELALE F, ERDOGAN F .The crack problem for a nonhomo geneous plane [ J] .ASME J .App .Mech ., 1983, 50:
609-614 .
[ 2]  EISCHEN J W .Fracture o f no nhomo geneous material[ J] .Int .J .Fracture , 1987 , 34 :3-22 .
[ 3]  JIN ZH , NODA N .Crack tip singular fields in nonhomog eneo us materials [ J] .ASM E J .App .Mech ., 1994, 61:
738-740 .
[ 4]  DELALE F , ERDOGAN F .On the mechanical modeling o f the interfacia l region in bo nded half-planes [ J] .ASME
J .App.Mech., 1988, 55 :317-324 .
[ 5]  JIN ZH , BAT RA RC .Some ba sic f racture mechanics concepts in functio nally g raded materials [ J] .Journal o f the
Mechanics and Physics Solids, 1996 , 44 :1221-1235.
[ 6]  ERDOGAN F, KAYA AC , JOSEH P P F.The crack pro blem in bonded nonhomo geneous materials [ J] .ASME J.
App.Mech., 1991 , 58:410-418 .
[ 7]  C raster RV , Atkinson C.Mix ed bounda ry v alue pr oblems in no n-homoge neous elastic materials [ J] .Quar .J.
Ma th ., 1994 , 47:183-206 .
[ 8]  GERASOULIS A , SRIVAS TAV R P .A Griffith c rack pro blem fo r a no nhomogeneous medium [ J] .Int .J.Enging
.Sci ., 1980 , 18 :239-247.
[ 9]  WANG BL, H AN JC , DU SY .Cracks problem fo r no nhomo geneous composite material subjected to dynamic lo ading[
J] .I nt.J.of So lids and Structures , 2000, 37:1251-1274 .
[ 10]  黄干云, 汪越胜, 余寿文.功能梯度材料的平面断裂力学分析[ J] .力学学报, 2005 , 37(1):1-8.
H UANG GY, WANG YS , YU SW.A new multi-lay ered mo del for in plane f racture analy sis of functionally g raded
materials (FGMs)[ J] .Chine se Journal o f Theor etical and a pplied Mechanics, 2005, 37(1):1-8 .
[ 11]  程站起, 仲 政.功能梯度板条断裂分析[ J] .力学季刊, 2005, 26(4):544-548.
CH ENG ZQ , ZH ONG Z.Fracture analy sis of functionally g raded strip[ J] .Chinese Quar terly Jo urnal of Mecha nics
, 2005, 26(4):544-548.
[ 12]  程站起, 仲 政.功能梯度涂层平面裂纹分析[ J] .力学学报, 2007, 39(5):685-691.
CH ENG ZQ , ZHONG Z .Fracture analy sis o f functionally g raded co ating under plane defo rma tion[ J] .Chinese
Jo ur nal of Theo retical and applied Mechanics , 2007 , 39(5):685-691 .
[ 13]  ERDOGAN F .Complex functio n technique[ M] .Co ntinuum Phy sics, Vol.XII .New York :Academic Press, 1975 .

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备注/Memo

备注/Memo:
*收稿日期:2010-03-12   修改稿日期:2011-07-26
基金项目:国家自然科学基金资助项目(10802078);中国博士后科学基金资助项目(20100471006);河南省优秀青年骨干教师资助
项目(2010GGJS-023)
作者简介:程站起(1973-), 男,河南人, 副教授, 博士, 研究方向:新型材料力学行为研究.
更新日期/Last Update: 2015-11-05