WANG Yin-bang, LU Zi-zi. New Boundary Element Method for Torsion Problems of a Cylinder With Curvilinear Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1387-1393.
 Citation: WANG Yin-bang, LU Zi-zi. New Boundary Element Method for Torsion Problems of a Cylinder With Curvilinear Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1387-1393.

# New Boundary Element Method for Torsion Problems of a Cylinder With Curvilinear Cracks

• Rev Recd Date: 2005-09-15
• Publish Date: 2005-12-15
• The Saint-Venant torsion problems of a cylinder with curvilinear cracks were considered and reduced to solving the boundary integral equations only on cracks.Using the interpolation models for both singular crack tip elements and other crack linear elements,the boundary element formulas of the torsion rigidity and stress intensity factors were given.Some typical torsion problems of a cylinder involving a straight,kinked or curvilinear crack were calculated.The obtained results for the case of straight crack agree well with those given by using the Gauss-Chebyshev integration formulas,which demonstrates the validity and applicability of the present boundary element method.
•  [1] 汤任基.裂纹柱的扭转理论[M].上海：上海交通大学出版社,1996,1—13. [2] 钱伟长，叶开沅.弹性力学[M].北京：科学出版社,1956，148—151. [3] Muskhelishvili N I.Singular Integral Equations[M].Holland: P Noordhoff LTD Groningen,1953，56—61. [4] TANG Ren-ji，WANG Yin-bang.On the problem of crack system with an elliptic hole[J].Acta Mechanica Sinica,1986,2(1):47—57.

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