摘要
对固定边半平面含平行于边界裂纹的问题进行研究,由固定边半平面弹性体的弹性力学基本解,利用换功定律、位移-应变关系、胡克定律及裂纹岸应力边界条件,得到描述该问题的超奇异积分方程组,并通过适当的积分变换,在有限部积分的意义下建立了相应的数值方法。对裂纹面上作用均布力情况的算例表明,固定边对应力强度因子的大小起削弱作用。
We considered the problem of the crack parallel to the fixed boundary in a half-plane body, with the distributed loads only at the crack surface. Based on the fundamental solution of the elastic mechanics on the half-plane body with free boundary,and using Bitt's low, the stress-displacement relation, Hooke's low, and the stress boundary condition of the crack, the hyper-singular integral equations to describe this problem was \{derived\}; through suitable integral transforms, we established the corresponding numerical method, in the sense of the finite-part integral of the hyper-singular integral. Moreover, by this method, the non-dimensional stress intensity factors of the crack under the uniformly distributed loads were calculated. The result shows that the stress intensity factors are weakened close to the fixed boundary.
出处
《河南科学》
2003年第2期143-146,共4页
Henan Science
