Appropriate Boundary Conditions for Nonlocal Elastic Beams
This study is concerned with the boundary conditions of elastic beams within the framework ofnonlocal elasticity theory.The general solutions of the plane stress problem are,firstly,discussed.Through which and by employing the decaying analysis technique proposed by Gregory and Wan,a set of necessary conditions on the edge-data,other than the pure displacement one,for the existence of a decaying solution are formulated.A novel method in constructing the auxiliary regular state is also demonstrated,which is different from that we used before.Finally,the appropriate boundary conditions for the interior solution are obtained,which are not altered by the nonlocal parameter and take the form as these for their local elastic counterparts.
nonlocal elastic beam boundary conditions decaying analysis technique general solution asymptotic expansion method regular state
S.-P.Xu M.-R.Xu C.-M.Wang
College of Engineering, Ocean University of China, Qingdao 266100, P.R.China;Department of Civil and School of Mathematics, University of Jinan, Jinan 250022, P.R.China Department of Civil and Environmental Engineering, National University of Singapore, Singapore 11757
国际会议
太原
英文
396-404
2013-01-13（万方平台首次上网日期，不代表论文的发表时间）