基于扩展有限元的非对称四点梁复合型开裂分析
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摘要
针对裂纹在三维实体中沿曲线或曲折路径扩展问题,应用三维扩展有限元的基本原理,结合ABAQUS有限元分析软件和粘聚裂缝模型,对混凝土梁在荷载作用下的复合型开裂过程进行了数值模拟分析。模拟结果与试验资料对比分析结果表明,基于扩展有限元法的三维模型对裂纹路径具有较高的预测精度,能有效分析实际工程中的复杂断裂失效问题。
Aiming at the cracks path propagation along curves or broken lines in three-dimensional solid,the principle of three-dimensional extended finite element method(XFEM) is applied to numerically simulate the compound cracking process of concrete beam under the action of loading by combining ABAQUS software and crack cohesion model.Comparison of simulation results and test data,it shows that three-dimensional model based XFEM method has high prediction precision for fracture path propagation,which can effectively analyze complex fracture failure problem in practical project.
Aiming at the cracks path propagation along curves or broken lines in three-dimensional solid,the principle of three-dimensional extended finite element method(XFEM) is applied to numerically simulate the compound cracking process of concrete beam under the action of loading by combining ABAQUS software and crack cohesion model.Comparison of simulation results and test data,it shows that three-dimensional model based XFEM method has high prediction precision for fracture path propagation,which can effectively analyze complex fracture failure problem in practical project.
引文
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[2]彭自强,李小凯,葛修润.广义有限元法对动态裂纹扩展的数值模拟[J].岩石力学与工程学报,2004,23(18):3 132-3 137.
[3]Belytschko T,Black T.Elastic Crack Growth in Fi-nite Elements with Minimal Remeshing[J].Interna-tional Journal for Numerical Methods in Engineer-ing,1999,45(5):601-620.
[4]Moёs N,Dolbow J,Belytschko T.A Finite ElementMethod for Crack Growth without Remeshing[J].International Journal for Numerical Methods in En-gineering,1999,46(1):131-150.
[5]庄茁,柳占立,成斌斌,等.扩展有限单元法[M].北京:清华大学出版社,2012.
[6]霍中艳,郑东健.基于扩展有限元法的黏聚性裂缝模型的混凝土梁断裂过程模拟[J].计算机辅助工程,2010,19(4):29-33.
[7]余天堂.模拟三维裂纹问题的扩展有限元法[J].岩土力学,2010,31(10):3280-3285,3294.
[8]方修君,金峰.基于ABAQUS平台的扩展有限元法[J].工程力学,2007,24(7):6-10.
[9]方修君,金峰,王进廷.基于扩展有限元法的Koyna重力坝地震开裂过程模拟[J].清华大学学报(自然科学版),2008,48(12):2065-2069.
[10]Bordas S,Nguyen P,Dunant C,et al.An ExtendedFinite Element Library[J].International Journal forNumerical Methods in Engineering,2006,71(6):703-732.
[11]Bordas S,Conley J G,Moran B,et al.A Simulation-based Design Paradigm for Complex Cast Compo-nents[J].Engineering with Computers,2007,23(1):25-37.
[12]Belytschko T,Moёs N,Usui S,et al.Arbitrary Dis-continuities in Finite Elements[J].InternationalJournal for Numerical Methods in Engineering,2001,50(4):993-1013.
[13]Sukumar N,Moёs N,Moran B,et al.Extended FiniteElement Method for Three Dimensional Crack Mod-eling[J].International Journal for Numerical Meth-ods in Engineering,2000,48(11):1 549-1 570.
[14]Moёs N,Gravouil A,Belytschko T.Non-planar 3DCrack Growth by the Extended Finite Element andLevel Sets-Part II:Level Set Update[J].Interna-tional Journal for Numerical Methods in Engineer-ing,2002,53(11):2 569-2 586.
[15]徐世烺.混凝土断裂力学[M].北京:科学出版社,2011.
[16]Reinhardt L,Cordes J A.XFEM Modeling of Mixed-Mode Cracks in Thin Aluminum Panels[A].Pro-ceedings of the 2010Simulia Customer Conference[C].Providence,2010:24-27.
[17]Gálvez J C,Elices M,Guinea G V,et al.Mixed ModeFracture of Concrete under Proportional and Non-proportinal Loading[J].International Journal ofFracture,1998,94(3):267-284.
[18]Cendón D A,Gálvez J C,Elices M,et al.Modelingthe Fracture of Concrete under Mixed Loading[J].International Journal of Fracture,2000,103(3):293-310.
[19]庄茁,由小川,廖建晖,等.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009.
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