宁夏大学学报(自然科学版)
寧夏大學學報(自然科學版)
저하대학학보(자연과학판)
2005年
1期
45-47
,共3页
应力强度因子%椭圆状裂纹%币状裂纹
應力彊度因子%橢圓狀裂紋%幣狀裂紋
응력강도인자%타원상렬문%폐상렬문
SIF%elliptical crack%penny shape crack
给出一种等效方法,将椭圆状裂纹在局部等效为币状裂纹,这些币状裂纹的裂纹面最大张开位移是相同的,等于椭圆状裂纹的裂纹面最大张开位移,并求解了无限大弹性体中扁平椭圆状裂纹前缘的应力强度因子.与已有的方法相比,该方法不仅简单易行,而且易于理解和数学处理.
給齣一種等效方法,將橢圓狀裂紋在跼部等效為幣狀裂紋,這些幣狀裂紋的裂紋麵最大張開位移是相同的,等于橢圓狀裂紋的裂紋麵最大張開位移,併求解瞭無限大彈性體中扁平橢圓狀裂紋前緣的應力彊度因子.與已有的方法相比,該方法不僅簡單易行,而且易于理解和數學處理.
급출일충등효방법,장타원상렬문재국부등효위폐상렬문,저사폐상렬문적렬문면최대장개위이시상동적,등우타원상렬문적렬문면최대장개위이,병구해료무한대탄성체중편평타원상렬문전연적응력강도인자.여이유적방법상비,해방법불부간단역행,이차역우리해화수학처리.
Stress intensity factor (SIF) along the crack front of a flat elliptical crack in infinite elastic body is investigated. By using an equivalent method, the elliptical crack can be treated as a penny shape crack at local domain. The maximum opening displacement of these penny shape cracks' surface is same, which is equal to the opening displacement of elliptical crack's surface. Compared with old method given by Green and Sneddon, the new approach is very simple and easy to understand and do in mathematics.