On the Local and Global Deformation Mechanism of Granular Haterials

粒状材料的局部和整体变形机制

• 批准号: 10650481
• 负责人: TAMURA Takeshi
• 金额: $ 2.18万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650481/
• 关键词: Granular Material; sliding; Rolling; Deformation; Plasticity; Local; Rigid Body; 大局; 剛体粒子; 物性

A rigid-plastic analysis of an assembly of regularly arranged circular elements with an equal diameter is performed to consider the relationship between the micro-and macro-mechanisms of cohesive granular materials. No elastic constant for elements is employed while rolling and plastic sliding at the contact points are considered. The equations of equilibrium of elements at the critical state are solved by using the linear programming method to minimize the upper bound of the applied force. Some of deformation modes are compared with the results of an experiment where a set of coins are used. The main results are :1)The rigid-plastic analysis of regularly arranged circular elements is done employing the frictional angle as well as the cohesion.2.Some results of velocity field by the numerical analysis are confirmed to be similar to those of simple experiments in both displacement and rotation of elements.3.The material constants necessary for the analysis can be obtained by a simple experiments.4.The comparison was done for the bearing capacity problem and some interesting interpretation was obtained.The real microscopic structures of such geotechnical materials as sands are more complicated than those in the present paper. Detail investigation is required to consider the effects of the static and rolling frictions, the random configuration at the initial state, the mixing of elements with different diameters and s, besides to establish the stable and fast numerical calculation scheme combined with the linear programming method.

对等直径规则排列的圆形单元组合体进行了刚塑性分析，以考虑粘性颗粒材料的细观和宏观机制之间的关系。单元没有弹性常数，而在接触点处考虑滚动和塑性滑动。用线性规划法求解临界状态下的单元平衡方程，以使所施加的力的上界最小。文中还将几种变形模式与一组硬币的实验结果进行了比较。主要结果如下：1）考虑摩擦角和粘聚力，对规则排列的圆形单元进行了刚塑性分析; 2.通过数值分析得到的一些速度场的结果，无论是单元的位移还是单元的转角，都与简单的试验结果相似; 3.分析所需的材料常数可以通过简单的试验得到; 4.对承载力问题进行了比较，得到了一些有趣的解释。除建立稳定快速的数值计算格式外，还需要考虑静摩擦和滚动摩擦、初始状态的随机构形、不同直径和不同s的单元的混合等因素的影响，并结合线性规划方法建立数值计算格式。

项目成果

Tamura, Takeshi: "Mechanics of assembly of rigid particles"Proc. Localization and Bifurcation Theory. Vol.1. 181-188 (1999)

田村武：“刚性粒子组装力学”Proc。

Tamura, Takeshi: "Upper bound method of rigid particles and its application"Journal of Applied Mechanics, JSCE. Vol.1. 407-416 (1998)

Tamura, Takeshi：“刚性粒子的上限方法及其应用”应用力学杂志，JSCE。

Tamura, Takeshi: "Mechanics of Assembly of Rigid Particles"Proc.Localization and Bifurcation Theory. 1. 181-188 (1999)

Tamura, Takeshi：“刚性粒子组装力学”Proc.局域化和分岔理论。

田村 武: "地下空間利用の技術と力学" 松尾 稔・林 良嗣 編著「都市の地下空間」7章. 141-157 (1998)

田村武：“地下空间利用的技术与动态”Minoru Matsuo 和 Yoshitsugu Hayashi（编）“城市地下空间”第 7 章。141-157（1998）

田村 武: "吹き付けコンクリートの支保機構に関する数値解析的評価"土木学会論文集. No.603III-44. 11-20 (1998)

Takeshi Tamura：“喷浆混凝土支撑机制的数值分析评估”日本土木工程师学会论文集第 603III-44 号（1998 年）。