MSM 99
MSM 99
Technical Proceedings of the 1999 International Conference on Modeling and Simulation of Microsystems

Metallization Modeling Chapter 13

Computational Modeling with a New Lattice-Based Continuum Formulation for the Coupled Thermodynamic and Mechanical Equilibrium of Polycrystalline Solids

Authors: L. Bassman, K. Garikipati and M. Deal

Affilation: Stanford University, United States

Pages: 459 - 462

Keywords: thermodynamics, continuum mechanics, self-diffusion, creep, finite element methods

A new formulation and computational framework is presented for modeling coupled self-diffusion and mechanics in polycrystalline materials. The continuum formulation includes constitutive models derived from lattice-level thermodynamic and mechanical considerations. From a complete statement of the change in free energy with respect to changes in strain and concentrations of atoms and vacancies, constitutive equations for both stress and chemical potential are derived in a consistent manner. Advanced finite element methods are used for stable solution of the system of governing equations. An example demonstrates stress-mediated creep due to vacancy diffusion.

ISBN: 0-9666135-4-6
Pages: 697