Surface effects on the elastic modulus of nanoporous materials

The mechanical properties of a nanoporous material depend not only on its porosity but also on its characteristic sizes of microstructure, e.g., the average sizes of ligaments. Classical continuum mechanics models cannot interpret this type of size dependence. We here present a unit-cell micromechanics model to predict the effective Young’s modulus of open-cell nanoporous materials. The theory of surface elasticity is adopted to incorporate the effects of surface energy and residual surface stress on the effective elastic property of nanoporous materials. This model can reasonably elucidate the relevant experimental results.

[1]  L. Zepeda-Ruiz,et al.  Size effects on the mechanical behavior of nanoporous Au. , 2006, Nano letters.

[2]  Xi-Qiao Feng,et al.  Effects of surface elasticity and residual surface tension on the natural frequency of microbeams , 2007 .

[3]  Vijay B. Shenoy,et al.  Atomistic calculations of elastic properties of metallic fcc crystal surfaces , 2005 .

[4]  Steve Weiner,et al.  THE MATERIAL BONE: Structure-Mechanical Function Relations , 1998 .

[5]  Vijay B. Shenoy,et al.  Size-dependent elastic properties of nanosized structural elements , 2000 .

[6]  G. Dennis,et al.  Pore size analysis of fallow deer (Dama dama) antler bone , 2005 .

[7]  Li,et al.  Ductile-brittle transition in random porous Au. , 1992, Physical review letters.

[8]  J. Erlebacher,et al.  Size dependence of effective Young’s modulus of nanoporous gold , 2007 .

[9]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[10]  Tong-Yi Zhang,et al.  Size-dependent surface stress, surface stiffness, and Young’s modulus of hexagonal prism [111] β-SiC nanowires , 2008 .

[11]  A. Hamza,et al.  Scaling equation for yield strength of nanoporous open-cell foams , 2006 .

[12]  Guoli Wang Diffraction of plane compressional wave by a nanosized spherical cavity with surface effects , 2007 .

[13]  Cynthia A. Volkert,et al.  Approaching the theoretical strength in nanoporous Au , 2006 .

[14]  Jin He,et al.  Surface effect on the elastic behavior of static bending nanowires. , 2008, Nano letters.

[15]  Fuqian Yang Size-dependent effective modulus of elastic composite materials: Spherical nanocavities at dilute concentrations , 2004 .

[16]  Bernard Nysten,et al.  Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy , 2004 .

[17]  Jonathan S. Colton,et al.  Influence of surface stress on the resonance behavior of microcantilevers , 2005 .

[18]  Gang Wang,et al.  Twisting of nanowires induced by anisotropic surface stresses , 2008 .