Finite-element formulation for anodic bonding

Eniko T Enikov, James G. Boyd

Research output: Contribution to journalArticle

3 Scopus citations


An anodic bond is modeled as a moving non-material line forming the intersection of three material surfaces representing the unbonded conductor, the unbonded insulator, and the bonded interface. The component mass balance equations, Gauss' law, and the linear momentum equations are cast in a finite-element formulation, which is used to predict the evolution of the sodium ion concentration, electric potential, and stress during the anodic bonding of Pyrex glass and silicon. The method is applicable to the viscoplasticity of solid electrolytes, and the volume and interface free energies can be modified to model electromechanical interface phenomena such as debonding, space charge accumulation and sliding at grain boundaries in ionic crystals, and a cohesive zone theory of piezoelectric fracture.

Original languageEnglish (US)
Pages (from-to)737-750
Number of pages14
JournalSmart Materials and Structures
Issue number6
Publication statusPublished - Dec 2000


ASJC Scopus subject areas

  • Materials Science(all)

Cite this