多裂纹扩展的近场动力学方法研究进展

Research Progress of Peridynamics Methods for Multiple Crack Propagation

材料的多裂纹扩展是一种不连续、不规则且复杂的现象。传统连续介质理论解决裂纹扩展问题是基于连续性假设并采用空间微分方程计算模型,在计算时由于裂纹的不连续性而导致奇异性、效率低和精度低。近场动力学方法基于非连续性思想建模,根据求解空间积分方程描述物质点运动,求解时不会带来奇异性、效率低和精度低等问题,使用此方法研究裂纹扩展将给求解和建模带来优势。本文概述了近场动力学的理论来源、基本理论框架和理论的演化,综述了近场动力学方法应用于脆性金属材料、陶瓷材料和复合材料的多裂纹扩展问题,并对近场动力学方法在硬质合金刀具绿色高效切削航空航天难加工材料方面的发展趋势进行展望。

The multi-crack propagation of materials is a discontinuous,irregular and complex phenomenon.The traditional continuum theory is based on the assumption of continuity and uses spatial differential equation to calculate the crack propagation model,which results in singularity,low efficiency and low precision due to the discontinuity of crack.The Peridynamics method is based on the idea of discontinuity modeling,and describes the matter point motion according to the solution of the space integral equation.The problem of singularity,low efficiency and low precision will not be brought when solving the problem.The study of crack propagation using this method will bring advantages to the solution and modeling.In this paper,the theoretical source,basic theoretical framework and theoretical evolution of Peridynamics are summarized,and the application of Peridynamics method to the multi-crack propagation of brittle metal materials,ceramic materials and composites is summarized.Finally,the development trend of the Peridynamics method in the green and efficient cutting of aerospace materials with carbide tools is prospected.