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三维线弹性断裂分析的混合边界元法 被引量:1

A Hybrid Boundary Element Method forThree- Dimensional Linear Elastic Fracture Analysis
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摘要 提出了裂纹上下表面相对位移基本函数的概念,并将其引入到第一类及第二类边界积分方程中,建立了一种分析断裂力学三维裂纹体全复合型应力强度因子的混合边界积分方程──混合边界元法,对其中所涉及的基本原理及数值求解技术进行了详细的研究。最后通过若干算例考证了本方法的精度及可靠性。 The present paper proposed the concept of fundamental function of relativedisplacement of the crack's upper.and lower surfaces and introduced it into thefirst and second kind boundary integral equations.On the basis of this,a hybridboundary element method used in three-dimensional linear elastic fracture analysis was proposed and the basic principle and numerical methods concerned werepresented in detail. Finally the present method was examined through severalnumerical examples.
出处 《浙江工学院学报》 1994年第3期7-17,共11页
基金 浙江省自然科学基金
关键词 三维 裂纹 混合边界元法 Three-dimensional crack Hybrid boundary element method Fundamental function of relative displacement Hypersingular integral
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同被引文献9

  • 1邓国基,曾庆敦.正交叠层极横向裂纹扩展分析(Ⅰ)——初始开裂[J].华南理工大学学报(自然科学版),1997,25(11):140-147. 被引量:6
  • 2王勖成,邵敏.有限元法基本原理和数值方法[M].北京:清华大学出版社,1998
  • 3GARRETT K W,BAILEY J E.Multiple transverse fracture in 900 cross-ply laminates of a glass fiber-reinforced polyester[J].J Mater Sci,1997,12:157-168.
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  • 5陈娜 富明慧 董立国.叠层板基体开裂分析的半解析有限元法.中山大学学报:自然科学版,2004,43(2):289-291.
  • 6INGRAFFEA A R,MANU C.Stress intensity factor computation in three dimensions with quarter-point elements Inter[J].J Numer Methods Engng,1980,15:1427-1445.
  • 7LYNN P P,INGRAFFEA A R.Transition elements to be used with quarter-point crack-tip elements[J].Int J Num Meth Engng,1978,12:1031-1036.
  • 8QIN T Y,TANG R J.Finite-part integral and BEM to solve embedded planar crack problems[J].Int J of Fracture.1993,60:373-381.
  • 9PARSONS I D,HALL J F.A finite element investigation of the elastic state near a three dimensional edge crack[J].Engineering Fracture Mechanics,1989,33(1):45-63.

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