石油化工高等学校学报
石油化工高等學校學報
석유화공고등학교학보
Journal of Petrochemical Universities
2015年
5期
95-98
,共4页
蔡永梅%张芳瑶%谢禹钧
蔡永梅%張芳瑤%謝禹鈞
채영매%장방요%사우균
断裂韧性%Ji-积分%裂纹分叉%应力强度因子%临界载荷
斷裂韌性%Ji-積分%裂紋分扠%應力彊度因子%臨界載荷
단렬인성%Ji-적분%렬문분차%응력강도인자%림계재하
Fracture toughness%J i-Integral%Crack-branching%Stress intensity factors%Critical load
分叉开裂问题是一个新型的断裂力学问题,本文利用经典 J i-积分守恒律,对部分路径积分,分析Ⅱ型裂纹分叉开裂时能量释放率,并指出裂纹边界分叉开裂的应力强度因子与 J i-积分的关系。当裂尖奇异应力场的应力集中达到一定程度时,即达到临界条件时,该应力场所在的边界将开裂,通过边界移动的能量释放率的分析定量地给出了边界分叉开裂能量释放率数学表征及边界开裂的极限临界载荷。
分扠開裂問題是一箇新型的斷裂力學問題,本文利用經典 J i-積分守恆律,對部分路徑積分,分析Ⅱ型裂紋分扠開裂時能量釋放率,併指齣裂紋邊界分扠開裂的應力彊度因子與 J i-積分的關繫。噹裂尖奇異應力場的應力集中達到一定程度時,即達到臨界條件時,該應力場所在的邊界將開裂,通過邊界移動的能量釋放率的分析定量地給齣瞭邊界分扠開裂能量釋放率數學錶徵及邊界開裂的極限臨界載荷。
분차개렬문제시일개신형적단렬역학문제,본문이용경전 J i-적분수항률,대부분로경적분,분석Ⅱ형렬문분차개렬시능량석방솔,병지출렬문변계분차개렬적응력강도인자여 J i-적분적관계。당렬첨기이응력장적응력집중체도일정정도시,즉체도림계조건시,해응력장소재적변계장개렬,통과변계이동적능량석방솔적분석정량지급출료변계분차개렬능량석방솔수학표정급변계개렬적겁한림계재하。
The cracking branching is a new type of fracture problem.The classic J i-integral has been further explored utilizing a partial integral path,from which an analytical solution of the energy release rate for mode-Ⅱ crack-branching.The SIFs is determined for the crack based on the J i-integral.When the singular stress field reaches its critical value,fracture will take place on the surface of boundary.The fracture of crack-branching is formulized and the critical load also is analytically derived by using the energy release rate of boundary translation.