裂纹面接触摩擦对双-边裂纹板动态应力强度因子的影响

EFFECT OF CRACK FACE CONTACT AND FRICTION ON DYNAMIC STRESS INTENSITY FACTORS FOR A DOUBLE-EDGE CRACKED PLATE

  • 摘要: 采用有限元方法求解了双-边裂纹板在冲击压缩载荷作用下裂纹面动态接触摩擦问题。裂尖平方根应力奇异性通过1/4节点奇异单元来模拟。应用位移法计算了动态应力强度因子,研究了裂纹面接触摩擦对双-边裂纹板动态应力强度因子的影响。数值结果表明:如果忽略裂纹面的接触作用,会得到负的I型动态应力强度因子以及实际上不可能出现的裂纹面相互穿透或重叠现象将发生;随着裂纹面摩擦系数的增大,裂纹面切向相对位移减小,相应的II型动态应力强度因子也减小。

     

    Abstract: The finite element method is used to solve the problem of dynamic frictional contact between the crack surfaces for a double-edge cracked plate subjected to compressive impact loading. The square-root stress singularity around the crack tip is simulated by quarter point singular elements. The dynamic stress intensity factors are evaluated by the displacement correlation technique. The effect of the crack face contact and friction on the dynamic stress intensity factors is investigated. The numerical results indicate that if the contact interaction between the crack surfaces is ignored, the negative dynamic stress intensity factors for mode I may be obtained and a physically impossible interpenetration or overlap of the crack surfaces will occur. It is also observed that with increasing friction the tangential relative displacements at the crack edges and dynamic stress intensity factors for mode II decrease.

     

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