Surface curvature-dependent strength analysis of three-dimen-sional nanoporous metals
Nanoporous metals have gained recognition for their remarkable surface effects and their demonstration of superior me-chanical properties.Previous studies on nanoporous metals often relied on simplified two-dimensional models due to theo-retical complexities.However,these simplified models fall short in accurately representing the mechanical properties of nanoporous metals and fail to adequately capture the substantial impact of surface effects,particularly the curvature depen-dence of nanosurfaces.Therefore,our study employs the principle of minimum energy and leverages the Steigmann-Ogden surface theory of nano-materials to devise a finite element surface element that comprehensively considers the surface effect of nanoporous materials.Utilizing this novel surface element,we construct diverse nanoporous metallic models and subject them to single-axis tension and compression simulations.Our findings reveal that the incorporation of surface bending stiffness leads to a notable increase in the strain energy density of the material,thereby influencing the trend of energy absorption rate.Additionally,Young's modulus of nanoporous metals is significantly affected by factors such as residual stress,surface bending modulus on the pore surface,and loading direction,as opposed to the surface Lamé constant.The developed finite element model offers a robust and compelling scientific approach for accurately predicting the mechanical performance of nanoporous metals.
Nanoporous metalSurface effectSurface elementSteigmann-Ogden surface modelFinite element method
张永超、糜长稳、苟晓凡
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College of Mechanics and Materials,Hohai University,Nanjing 211100,China
Jiangsu Key Laboratory of Engineering Mechanics,School of Civil Engineering,Southeast University Nanjing 210096,China
Nanoporous metal Surface effect Surface element Steigmann-Ogden surface model Finite element method
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