Metastability and hysteresis in active materials

David S. Kinderlehrer

doi:10.1117/12.276537

13 June 1997 Metastability and hysteresis in active materials

David S. Kinderlehrer

Proceedings Volume 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures; (1997) https://doi.org/10.1117/12.276537
Event: Smart Structures and Materials '97, 1997, San Diego, CA, United States

Abstract

We explore two issues related to metastable systems relevant to shape-memory alloys with highly mobile, complex, and easily transformed microstructure. The first is an approach towards modeling of the system interactions across a wide range of length scales, termed a hierarchy of scales approach. The second relates to possible dynamical principles and, in particular, hysteresis. We suggest that the metastability is governed in the weak topology and evolution is determined by a solution to the Fokker-Planck Equation.

Citation Download Citation

David S. Kinderlehrer "Metastability and hysteresis in active materials", Proc. SPIE 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures, (13 June 1997); https://doi.org/10.1117/12.276537

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available