Study of Size Effects on Stiffness Matrix

Xiao Liang Chen; Jian Ping Ding; Xiao Rong Wang

doi:10.4028/www.scientific.net/AMM.684.49

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 684Study of Size Effects on Stiffness Matrix

Study of Size Effects on Stiffness Matrix

Abstract:

The surface effect can be significant for nanoscale structures, and the surface energy is expected to be prominent in governing the geometric size-dependent deformation and strength mechanisms of single crystals at the nanoscale. In a new numerical method which combines surface energy and three-dimensional finite element analysis, size effects on the stiffness matrix with surface effects was studied numerically. Results show the surface stiffness matrix is more and more important relative to the bulk stiffness matrix with the size of elements decreasing.