On the Theory of Stress-Assisted Diffusion

Similarity and general steady-state solutions of a recently developed stress-assisted diffusion theory are obtained. General transient solutions are obtained analytically for certain classes of stress distributions. For general stress distributions a perturbation method is employed to produce transient solutions. Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems involving stress singularities as well as the elimination of singularities are considered. An equilibrium solution is utilized together with a straightforward physical argument to produce rationally two empirical formulae previously proposed in the literature to model embrittlement and stress corrosion cracking phenomena. This solution is further utilized to model embrittlement and stress corrosion cracking data more successfully than previous attempts. An appendix on certain preliminary elastodiffusive fracture criteria is given.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Unger, David James

• Applied Mechanics

Language dc:language

eng

Identifier

(UMI)AAI8127721

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/68520