块体理论研究进展

Advances in Block Theory

摘要:

侧重总结块体理论与方法研究的历史脉络、发展现状及未来趋势：核心概念从经典锥、形心滑动锥、广义节理锥发展为接触理论的总进入角；配套形成全赤平投影、向量运算、赤平解析、全域切割与接触计算等方法；保留刚体平移失稳基本假设，弱化无限延伸平直结构面和面-面接触几何约束两大基本假设；将面-面接触几何约束条件下临空凸块体稳定分析推广为一般接触几何约束条件下全域任意形态块体渐进失稳分析。此外，提出总进入角接触理论与计算方法用于块体可动性分析，以期进一步推动块体理论实质性发展。

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.