Multi-scale homogenization procedure for continuum–atomistic, thermo-mechanical problems

Coupling the finite element method and molecular dynamics in the framework of the heterogeneous multiscale method for quasi-static isothermal problems

“…A framework that combines the serial and concurrent coupling in the generalised mathematical homogenisation method is given by Fish et al (2010). Chockalingam and Wellford (2011) give a homogenisation procedure with an emphasis on thermal problems. It is based on a uniform weighted residual approximation method to consistently model the interaction of the continuum and atomistic scale.…”