河海大学学报(自然科学版)
河海大學學報(自然科學版)
하해대학학보(자연과학판)
JOURNAL OF HOHAI UNIVERSITY (NATURAL SCIENCES)
2014年
4期
327-331
,共5页
扩展有限元法%主裂纹%次裂纹%应力强度因子%裂尖改进函数
擴展有限元法%主裂紋%次裂紋%應力彊度因子%裂尖改進函數
확전유한원법%주렬문%차렬문%응력강도인자%렬첨개진함수
XFEM%main crack%secondary crack%stress intensity factor (SIF)%crack tip enrichment function
采用新型裂尖改进函数构建的 Reduced XFEM,研究次裂纹与主裂纹的相互作用,以及次裂纹对主裂纹应力强度因子的影响,并在裂纹尖端采用互作用积分法计算应力强度因子。计算结果表明:次裂纹存在会使主裂纹的应力强度因子减小;次裂纹长度越长,主裂纹应力强度因子减小得越明显;次裂纹距主裂纹的位置与主裂纹的应力强度因子之间有一定的规律,主裂纹的应力强度因子随主、次裂纹间距离的增大呈“勺”形分布,且当该距离达到一定数值后主裂纹的应力强度因子变化较小,接近单裂纹状态。
採用新型裂尖改進函數構建的 Reduced XFEM,研究次裂紋與主裂紋的相互作用,以及次裂紋對主裂紋應力彊度因子的影響,併在裂紋尖耑採用互作用積分法計算應力彊度因子。計算結果錶明:次裂紋存在會使主裂紋的應力彊度因子減小;次裂紋長度越長,主裂紋應力彊度因子減小得越明顯;次裂紋距主裂紋的位置與主裂紋的應力彊度因子之間有一定的規律,主裂紋的應力彊度因子隨主、次裂紋間距離的增大呈“勺”形分佈,且噹該距離達到一定數值後主裂紋的應力彊度因子變化較小,接近單裂紋狀態。
채용신형렬첨개진함수구건적 Reduced XFEM,연구차렬문여주렬문적상호작용,이급차렬문대주렬문응력강도인자적영향,병재렬문첨단채용호작용적분법계산응력강도인자。계산결과표명:차렬문존재회사주렬문적응력강도인자감소;차렬문장도월장,주렬문응력강도인자감소득월명현;차렬문거주렬문적위치여주렬문적응력강도인자지간유일정적규률,주렬문적응력강도인자수주、차렬문간거리적증대정“작”형분포,차당해거리체도일정수치후주렬문적응력강도인자변화교소,접근단렬문상태。
In this study, the interaction between the main crack and secondary crack was investigated using the Reduced XFEM, which is constructed with a new type of crack tip enrichment function. The effect of the secondary crack on the stress intensity factor ( SIF) of the main crack was studied, and the SIF was calculated with the interaction energy integral method at crack tips. The calculation results show that the existence of the secondary crack decreases the SIF of the main crack. The SIF of the main crack decreases significantly with the increasing length of the secondary crack. The changes of the distance from the main crack to the secondary crack and the SIF of the main crack follow certain rules: the SIF of the main crack shows a scoop-shaped distribution as the distance increases, and it changes insignificantly, being close to a single crack state, as the distance reaches a certain value.