Thermal Stresses From Large Volumetric Expansion During Freezing of Biomaterials

[+] Author and Article Information
X. Shi, A. K. Datta

Department of Agricultural and Biological Engineering, Riley-Robb Hall, Cornell University, Ithaca, NY 14853

Y. Mukherjee

DeHan Engineering Numerics, 95 Brown Road, Ithaca, NY 14850

J Biomech Eng 120(6), 720-726 (Dec 01, 1998) (7 pages) doi:10.1115/1.2834885 History: Received May 14, 1997; Revised June 24, 1998; Online January 23, 2008


Thermal stresses were studied in freezing of biomaterials containing significant amounts of water. An apparent specific heat formulation of the energy equation and a viscoelastic model for the mechanics problem were used to analyze the transient axi-symmetric freezing of a long cylinder. Viscoelastic properties were measured in an Instron machine. Results show that, before phase change occurs at any location, both radial and circumferential stresses are tensile and keep increasing until phase change begins. The maximum principal tensile stress during phase change increases with a decrease in boundary temperature (faster cooling). This is consistent with experimentally observed fractures at a lower boundary temperature. Large volumetric expansion during water to ice transformation was shown to be the primary contributor to large stress development. For very rapid freezing, relaxation may not be significant, and an elastic model may be sufficient.

Copyright © 1998 by The American Society of Mechanical Engineers
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