Modeling elastic behavior in freestanding nanomembranes through analytical and finite element calculations
Mentor 1
Dr. Gokul Gopalakrishnan
Location
Union Wisconsin Room
Start Date
24-4-2015 10:30 AM
End Date
24-4-2015 11:45 AM
Description
The elastic constants of crystalline solids play a critical role in determining mechanical and thermal properties. Commonly considered as material properties independent of geometric factors, the elastic parameters are expected to deviate from bulk values in nanoscale systems and display a size dependence. This dependence on length scales appears in small systems due to a non-negligible fraction of the atoms residing in the vicinity of a surface, which in turn results in effective elastic parameters that differ from the bulk. While devices with nanoscale dimensions are ubiquitous in microprocessors and micro- and nano-electromechanical systems (MEMS and NEMS), the size dependence of fundamental elastic properties in the sub-100 nm regime has seen little investigation. We present our work following two lines of inquiry: (i) modeling the effective elastic modulus of freestanding nanomembranes through finite element analysis, and (ii) calculating the dispersion of elastic waves propagating through a two-dimensional continuum modulated by a lattice of periodic boundaries.
Modeling elastic behavior in freestanding nanomembranes through analytical and finite element calculations
Union Wisconsin Room
The elastic constants of crystalline solids play a critical role in determining mechanical and thermal properties. Commonly considered as material properties independent of geometric factors, the elastic parameters are expected to deviate from bulk values in nanoscale systems and display a size dependence. This dependence on length scales appears in small systems due to a non-negligible fraction of the atoms residing in the vicinity of a surface, which in turn results in effective elastic parameters that differ from the bulk. While devices with nanoscale dimensions are ubiquitous in microprocessors and micro- and nano-electromechanical systems (MEMS and NEMS), the size dependence of fundamental elastic properties in the sub-100 nm regime has seen little investigation. We present our work following two lines of inquiry: (i) modeling the effective elastic modulus of freestanding nanomembranes through finite element analysis, and (ii) calculating the dispersion of elastic waves propagating through a two-dimensional continuum modulated by a lattice of periodic boundaries.
