摘要
亚塑性理论为建立颗粒材料本构模型提供了一种新的框架,在此框架内讨论了Gudenhus-Bauer模型的模量矩阵不对称性,并阐述了直接以Cauchy应力Jaumann速率建立本构关系时以及由此所建议的Gudenhus-Bauer模型中所存在的问题.为此基于Gudenhus-Bauer模型的张量函数,应用2nd P-K应力率与Green应变率建议了一个新的颗粒材料亚塑性模型,该模型可与经典关联与非关联流动理论相对应.此外还简单介绍了如何依据基于2nd P-K应力率的本构模量获得以Cauchy应力Jaumann速率及变形率表示的亚塑性模型.数值算例表明所建议模型具有模拟颗粒材料应变局部变形特征的良好性能.
Hypoplastic theory provides a new approach for describing mechanical behavior of granular materials. The unsymmetrical character of modulus for a typical hypoplastic model-Gudenhus-Bauer model is discussed.With Gudenhus-Bauer model as an example,some problems for constructing the constitutive relation with Jaumann rate of Cauchy stress and rate of deformation tensor are presented.Based on the form of tensor function used in Gudenhus-Bauer model,a new hypoplastic model with 2nd P-K stress rate and Green strain rate is suggested for granular materials,which can be corresponding to associated or nonassociated flow rule. In addition,how to obtain the hypoplastic model based on Jaumann rate according to the model based on 2nd P-K stress rate is discussed.Numerical example illustrated the capability and performance of presented model in modeling the deformation of granular material.
出处
《力学学报》
EI
CSCD
北大核心
2010年第5期870-879,共10页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10802060)
国家重点基础研究发展计划(2010CB731502)资助项目~~
关键词
颗粒材料
率形本构关系
亚塑性模型
模量矩阵
granular materials
constitutive relation in rate form
hypoplastic model
modulus matrix
