岩土力学2012，Vol.33Issue(4)：1075-1078,4.
岩土塑性理论中功表达的近似性
Approximation of work calculation in theory of geotechnical plasticity
摘要
Abstract
The expressions of generalized shear stress and generalized shear strain are introduced. After analyzing the two expressions, mistakes in calculating the increment of generalized shear stress and generalized shear strain are pointed out, and then the right calculations are given. Based on this, two expressions of work increment that one is described by mean stress, volumetric strain increment, generalized shear stress and generalized shear strain increment and the other is described by three-dimensional stresses and three-dimensional strain increments are compared. The conclusion is that the two expressions are not always consistent except in some particular conditions. An example of the particular conditions is that loading in constant Lode angle and also the Lode angle of the three-dimensional stresses is equal to that of the three-dimensional strain increments. The same inconsistency still exists in applications of plastic work increment, while unfortunately the equation of Lode angle of the three-dimensional stresses and the three-dimensional strain increments is not always satisfied for practical geomaterials. So in the theory of geotechnical plasticity, for the condition of loading in constant Lode angle, the plastic work increment expressed by mean stress, plastic volumetric strain increment, generalized shear stress and generalized plastic shear strain increment is just a kind of approximation.关键词
岩土塑性理论/广义剪应力/广义剪应变/功的增量Key words
theory of geotechnical plasticity/ generalized shear stress/ generalized shear strain/ work increment分类
建筑与水利引用本文复制引用
祝恩阳,姚仰平..岩土塑性理论中功表达的近似性[J].岩土力学,2012,33(4):1075-1078,4.基金项目
国家自然科学基金项目(No.11072016,No.51179003) （No.11072016,No.51179003）
教育部高等学校博士学科点专项科研基金(No.20091102110030). （No.20091102110030）
