任意裂纹面荷载作用下界面断裂分析

发布时间：2018-12-16 19:43

【摘要】：为研究裂纹面上作用的荷载对裂纹稳定性的影响,本文基于比例边界有限元方法提出裂纹面作用有任意方向、任意大小面荷载的界面应力强度因子求解模型.界面裂纹具有复数形式的应力奇异性指数,在任意裂纹面荷载作用下其奇异应力场更为复杂.应用本模型,径向的位移和应力可解析求解,无需网格细分即可自动反映裂尖的应力奇异性.裂纹面上的任意荷载首先可分解成平行于裂纹面以及垂直于裂纹面的分量,并进一步分解成有限项幂函数的和.对每个幂函数荷载解析求解,基于线性叠加原理获得结构在全部荷载作用下的解.该模型对各向同性材料和各向异性材料均适用.文中通过板承受裂缝面荷载时的应力强度因子求解的多个算例对该模型进行了验证和应用,对板的几何尺寸和双材料参数进行了敏感性分析,并应用于重力坝坝踵界面裂缝在水压力作用下的应力强度因子求解.
[Abstract]:In order to study the effect of the load acting on the crack surface on the crack stability, based on the proportional boundary finite element method, a model for calculating the interfacial stress intensity factor of the crack surface with arbitrary direction and size is proposed in this paper. The interface crack has complex stress singularity exponent, and the singular stress field is more complex under the action of arbitrary crack surface load. Using this model, the radial displacement and stress can be solved analytically, and the stress singularity of crack tip can be automatically reflected without mesh subdivision. Any load on the crack surface can be decomposed into components parallel to the crack surface and perpendicular to the crack surface, and further decomposed into the sum of finite power functions. Based on the linear superposition principle, the analytical solution of each power function load is obtained under all loads. The model is applicable to both isotropic and anisotropic materials. In this paper, the model is verified and applied by several examples of stress intensity factor solution of slab subjected to crack surface load, and the sensitivity analysis of the geometric dimension and bimaterial parameters of the plate is carried out. The stress intensity factor of the interface crack of gravity dam heel is solved under the action of water pressure.
【作者单位】：大连理工大学建设工程学部;
【基金】：国家自然科学基金(51009019;51579033) 中央高校基本科研业务费专项资金(DUT14LK40) 中国博士后基金特别资助项目(2013T60283)
【分类号】：O346.1

【共引文献】