Static assessment of nanoscale notched silicon beams using the averaged strain energy density method

Research output: Contribution to journalArticle


Research units

  • Kyoto University
  • Norwegian University of Science and Technology


This paper extends the averaged Strain Energy Density (SED) method to the static assessment of notched components at the nanoscale. First, in situ micromechanical testing of notched nano-cantilever beams made of single-crystal silicon is briefly reviewed. Then, an alternative strategy based on the Theory of Critical Distances is employed to evaluate the control volume and the critical SED. The method is later verified against experiments and FE analyses. The SED method successfully estimates the load at fracture of nanoscale notched specimens with a maximum discrepancy of 4.7%. Moreover, the method is mesh-independent, and therefore very coarse meshes can be employed in numerical analyses. Finally, the results are discussed on the basis of the breakdown of continuum fracture mechanics at the nanoscale. The extension of the SED approach to the micro- and nanoscales provides a fast and simple tool for the design of micro- and nanodevices.


Original languageEnglish
Pages (from-to)261-269
JournalTheoretical and Applied Fracture Mechanics
Publication statusPublished - 2018
MoE publication typeA1 Journal article-refereed

    Research areas

  • nanoscale, single-crystal silicon, Strain energy density, fracture, nanomechanics

ID: 32946734