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A new form of Strain Gradient Elasticity
Zhao Bing 1 * #,Zheng Yingren 2,Yan Xiaoqiang 1,Song Yi 1
1.School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410076, China
2.Logistic Engineering University of PLA
*Correspondence author
#Submitted by
Subject:
Funding: 湖南省科技计划项目,湖南省教育厅优秀青年科技项目,湖南省自然科学基金（No.,,）
Opened online:20 April 2009
Accepted by: none
Citation: Zhao Bing,Zheng Yingren,Yan Xiaoqiang.A new form of Strain Gradient Elasticity[OL]. [20 April 2009] http://en.paper.edu.cn/en_releasepaper/content/31553
 
 
Following the definition of internal characteristic length vector, the strain energy density is postulated to depend on both the strain tensor and the strain gradient tensor. A new form of strain gradient elasticity constitutive was derived directly from the strain energy density expansion method at the initial state. When internal characteristic length vector equals to zero, the expressions can be degenerated to the classical elastic theory. Based on the principle of virtual power, the variational principle, boundary condition and Finite Element Formulation of the new form of strain gradient elasticity are given.
Keywords:Strain gradient ; Elasticity; Constitutive
 
 
 

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