1909年,俄国数学力学家哥洛索夫首先将复变函数方法应用于二维弹性力学问题,揭开了弹性力学复变方法研究的序幕.100年来,复变方法在求解弹性与断裂力学问题中取得了很大发展,特别在断裂力学中的应用尤为成功.2009年恰逢弹性力学复变方法提出100周年,该文试图总结100年来复变方法在经典断裂力学、复合材料断裂力学、新型材料断裂力学以及三维空间断裂问题中的发展与应用,以作纪念.
The Russian scientist of mathematics and medanics G.V.Kolosov introduced firstly the complex variable method to solve two-dimensional elasticity problems in 1909,which was then extended to fracture mechanics problems.In the past 100 years,the complex variable method has made great progresses.This year is the hundredth anniversary of the complex variable method of elasticity and fracture mechanics.This memorial paper summarizes research progresses of complex variable method in classical fracture mechanics, composite materials fracture mechanics,noval materials fracture mechanics and fracture problems for three dimensinal bodies.