同济大学学报（自然科学版）2025，Vol.53Issue(6)：898-905,8.DOI:10.11908/j.issn.0253-374x.23382
块体理论研究进展
Advances in Block Theory
摘要
Abstract
This paper focuses on summarizing the historical context,the latest advances and future trends of block theory and methods.Firstly,the essential concept has evolved from the traditional pyramid,the centroid sliding pyramid and the generalized joint pyramid to the integrated entrance angle based on contact theory.Secondly,the whole-space stereographic projection method,the vector method,the stereo analytical method and the whole-space block cutting and contact method have accordingly been proposed.Thirdly,the basic assumption of translational failure of rigid bodies is still retained,while the other two basic assumptions,i.e.,infinite straight persistent structural plane and geometric constraints of face-to-face contacts,have been weakened.Lastly,stability analysis of exposed convex blocks under the geometric constraints of face to face contacts has been extended to progressive failure analysis of whole-spatial arbitrarily-shaped blocks under the geometric constraints of all general contacts.Moreover,the authors present the contact theory and method based on the integrated entrance angle for block removability analysis to further promote the substantial development of block theory.关键词
块体理论/接触理论/总进入角/全赤平投影/向量运算/赤平解析Key words
block theory/contact theory/integrated entrance angle/whole-space stereographic projection method/vector method/stereo-analytical method分类
建筑与水利引用本文复制引用
张洪,安宝宝,郑路,武威..块体理论研究进展[J].同济大学学报（自然科学版）,2025,53(6):898-905,8.基金项目
上海市自然科学基金(21ZR1468500) （21ZR1468500）
中央高校基本科研业务费专项资金(22120240299) （22120240299）
