Elasto-Plastic Constitutive Equation for Geological Materials Withffabric

地质材料与织物的弹塑性本构方程

• 批准号: 01550381
• 负责人: ODA Masanobu
• 金额: $ 1.28万
• 依托单位: Saitama University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1989
• 资助国家: 日本
• 起止时间: 1989 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01550381/
• 关键词: granular materials; Elastoplastic constitutive equation; Fabric anisotropy; Numerical analysis; 構成式; 土質力学

There seems to be two major trends in the recent development of soil science. One trend is based on the material science in which soils are treated as assemblies of discrete particles. The spatial arrangement of particles and associated voids (called the fabric) plays an important role in the development. Another trend is motivated by the recent development of soil plasticity in which soils are treated as continuum. In this research, a tensor called the fabric tensor is introduced to express concretely the geometry made by discrete particles, and a continuum model is formulated such that the tensor is explicitly used in the framework of soil plasticity. The present interest is not to show a complete theory covering the whole range of soil behavior, but rather to exemplify a general method for combining the discrete approach with the continuum model. The conclusions are summarized as follows :The fabric tensor for three-dimensional assemblies of granular soils is introduced as an index showing the anisotropy due to the preferred orientation of constituent particles and is actually determined by using data derived from a material science approach of soils. Using the fabric tensor, a Drucker-Prager type of yield function is extended so as to take into account the anisotropic yielding behavior of granular soils. Plane strain tests on Toyoura sand are analyzed with a result that the anisotropic shear strength is well fitted by the extended Drucker-Prager yield function. Based on this, it is concluded that this study provides a step to link the material science approach of soils, in which the spatial arrangement of particles and associated voids plays an important role, to the continuum theory of plasticity/

最近土壤学的发展似乎有两大趋势。一种趋势是基于材料科学，其中土壤被视为离散颗粒的集合。粒子的空间排列和相关的空隙（称为织物）在发展中起着重要作用。另一个趋势是由最近土壤可塑性的发展推动的，其中土壤被视为连续体。本研究引入了织物张量来具体表达由离散颗粒构成的几何形状，并建立了连续统模型，从而明确地将该张量用于土壤塑性的框架中。目前的兴趣不是展示一个完整的理论，涵盖土壤行为的整个范围，而是举例说明一种将离散方法与连续体模型相结合的一般方法。本文介绍了颗粒土三维组合体的结构张量，它是反映组成颗粒的优先取向所引起的各向异性的指标，实际上是利用土壤材料科学方法的数据确定的。利用织物张量，扩展了Drucker-Prager型屈服函数，以考虑颗粒土的各向异性屈服行为。通过对土优拉砂土平面应变试验的分析，得到了扩展Drucker-Prager屈服函数对各向异性抗剪强度的拟合结果。基于此，本研究为将土体的材料科学方法与塑性连续介质理论联系起来提供了一步，其中颗粒及其相关空隙的空间排列起着重要作用

项目成果

M. Oda and T. Sudo: "Fabric tensor showing anisotropy of granular soils and its application to soil plasticity" Proc. Int. Conf. on Micromechanics of Granular Media, Powders and Grains. 155-161 (1989)

M. Oda 和 T. Sudo：“显示粒状土壤各向异性的织物张量及其在土壤塑性中的应用”Proc。

小田匡寛,須藤敏明: "Fabric Tensor Showing Anisotropy of Granular Soils and Its Application to Soil Plasticity" Powder and Grains,Bulkema. 155-161 (1989)

Masahiro Oda、Toshiaki Sudo：“显示粒状土壤各向异性的织物张量及其在土壤可塑性中的应用”粉末和谷物，Bulkema 155-161 (1989)。

小田 匡寛: "A plasticity Theory for soil with Induced Anisotropy" Studies in Applied Mechanics,Elsevier.

Masahiro Oda：“诱导各向异性土壤的塑性理论”应用力学研究，爱思唯尔。

小田匡寛: "Inportance of Anisotropic Fabrics" Report of ISSMFE Technical Committee(in Mechanics of Granular Materials). 10-12 (1989)

Masahiro Oda：ISSMFE 技术委员会的“各向异性织物的重要性”报告（颗粒材料力学）10-12 (1989)。

小田 匡寛: "Ultimate Bearing Capacity Tests on Sand with Clay Layer" Journal of Geotechnical Engineering(ASCE). 116. 1902-1906 (1990)

Masahiro Oda：“带有粘土层的砂的极限承载力测试”岩土工程杂志（ASCE）116。1902-1906（1990）。