𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical and analytical aspects of the pinning of martensitic phase boundaries

✍ Scribed by Patrick W. Dondl

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
145 KB
Volume
34
Category
Article
ISSN
0936-7195

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We study the pinning and depinning behavior of interfaces immersed in a heterogeneous medium. For a continuum elasticicity model of the martensitic phase transformation, we numerically estimate the critical depinning stress of a phase boundary intersecting a non‐transforming inclusion in the material. In the limit of a nearly flat phase boundary, the elastic energy of the phase boundary can be approximated by an elliptic operator of order 1. For such an approximation we study the depinning transition near the critical point. Finally, we prove existence of a pinned solution for a parabolic model for the evolution of phase boundaries in a random environment (Β© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Numerical aspects of the boundary residu
Numerical aspects of the boundary residual method
✍ K. J. Bunch; Dr. R. W. Grow πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 816 KB

The boundary residual method is a powerful technique for solving EM boundary-value problems. This technique produces matrices difficult to solve using many of the standard numerical techniques. This paper discusses lesser-known numerical aspects of this method, and it shows efficient and well-condit