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Discontinuous deformation analysis: A new numerical model for the statics and dynamics of block systems.

机译：间断变形分析：用于块系统静力学和动力学的新数值模型。

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摘要

In this thesis a forward and a backward numerical model of deformable block structures is presented. The forward model can analyze the mechanical response of rock block systems under general loading and boundary conditions. Large displacements and deformations are considered under both static and dynamic loadings. Output data give the movements, deformations, stresses and strains of each block, and the contact force, sliding, and detaching or rejoining between blocks. The forces acting on each block, from external loading or contact with other blocks, satisfy the equilibrium equations. Equilibrium is also achieved between external forces and the block stresses. Furthermore, the analysis fulfills constraints of no tension between blocks and no penetration of one block into another. Also, Coloumb's Law is fulfilled at all contact positions for both static and dynamic computations. To achieve equilibrium and satisfy these constraints, simultaneous equations are solved repeatedly with partial changes of the coefficients each time the contact constraints are chosen.; As the measurement of displacement tends now to be automatic and refined, rock engineering related displacements and strain measurements are becoming more abundant. The backward model works directly with time dependent displacement or strain measurements of individual points to compute the movements and deformations of whole block systems. The output data are the best least square fitted block displacements and block strains and the relative sliding and opening of interfaces between blocks which can determine the state of global stability for an entire block system. The backward analysis performs an honest interpretation of measured displacements and offers material constants, initial stresses or possible boundary conditions for further forward analysis; the forward analysis then can predict future states of stabilities for the rock structure. The combination of the forward and backward analyses will allow a complete practical numerical analysis procedure for problems in blocky rock.
机译：本文提出了可变形块结构的正反数值模型。该正演模型可以分析岩石块系统在一般载荷和边界条件下的机械响应。在静态和动态载荷下都考虑了大的位移和变形。输出数据给出了每个块的运动，变形，应力和应变，以及块之间的接触力，滑动，分离或重新结合。来自外部载荷或与其他块接触的作用在每个块上的力满足平衡方程。还可以在外力和块应力之间达到平衡。此外，该分析满足了以下约束条件：区块之间没有张力，一个区块也不会渗透到另一个区块中。同样，在静态和动态计算的所有接触位置都满足Coloumb定律。为了达到平衡并满足这些约束，每当选择接触约束时，用系数的部分变化来反复求解联立方程。由于位移的测量现在趋向于自动和精确，与岩石工程相关的位移和应变的测量变得越来越丰富。向后模型直接与时间相关的单个点的位移或应变测量一起工作，以计算整个砌块系统的运动和变形。输出数据是最佳的最小二乘拟合块位移和块应变以及块之间的界面的相对滑动和打开，这可以确定整个块系统的全局稳定性状态。向后分析对测量的位移进行了诚实的解释，并提供了材料常数，初始应力或可能的边界条件，以便进一步进行正向分析；然后，前向分析可以预测岩石结构的未来稳定性状态。向前和向后分析的结合将为块状岩石中的问题提供完整的实用数值分析程序。

著录项

  • 作者

    Shi, Gen-hua.;

  • 作者单位

    University of California, Berkeley.;

  • 授予单位 University of California, Berkeley.;
  • 学科 Engineering Civil.
  • 学位 Ph.D.
  • 年度 1988
  • 页码 398 p.
  • 总页数 398
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 建筑科学;
  • 关键词

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