静止颗粒体的应变与弹性  

Strain and elasticity of static granular matter

作　　者：王焕友[1] 曹晓平[1] 蒋亦民[1,2] 刘佑[2] 

机构地区：[1]中南大学物理科学与技术学院 [2]蒂宾根大学理论物理研究所

出　　处：《物理学报》2005年第6期2784-2790,共7页Acta Physica Sinica

摘　　要：文章指出通过空间平均每个颗粒内应变的方法不能得到无粘性颗粒材料的宏观应变,位移矢量场和应变张量场一般没有粗粒化平均性质.但这并不妨碍以平衡态热力学为基础的宏观应变概念和弹性理论对静止颗粒体的有效性.This paper shows that for a static cohesionless granular material simply averaging in space the strains inside grains does not result in its macroscopic strain, so the fields of displacement vector and strain tensor do not have the property of coarse-graining. However this gives no disturbance to the validity of the notions of strain and elasticity for the granular material because they are based on the equilibrium thermodynamics.

关 键 词：无粘性颗粒体 平衡态热力学 经典弹性 静应力场 

分 类 号：O343[理学—固体力学]