Optimal Cool-Down in Linear Viscoelasticity

[+] Author and Article Information
Y. Weitsman

Mechanics and Materials Research Center, Civil Engineering Department, Texas A & M University, College Station, Texas 77843

J. Appl. Mech 47(1), 35-39 (Mar 01, 1980) (5 pages) doi:10.1115/1.3153634 History: Received May 01, 1979; Revised September 01, 1979; Online July 21, 2009


An optimal temperature path is derived for a thin viscoelastic plate which is cooled from a stress-free state against geometric constraints. The optimal path, which minimizes the final residual stress due to cool down, is shown to possess discontinuities at the initial and final times and to be smooth and continuous during all intermediate times. An iterative convergent scheme is provided for a wide class of linear viscoelastic responses and typical paths are determined for two specific cases. In addition, a time-temperature path which maintains constant stress values during cool-down is derived. The problem is motivated by the cooling process of composite materials.

Copyright © 1980 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In