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.
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December 1998
Research Papers
Thermal Stresses From Large Volumetric Expansion During Freezing of Biomaterials
X. Shi,
X. Shi
Department of Agricultural and Biological Engineering, Riley-Robb Hall, Cornell University, Ithaca, NY 14853
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A. K. Datta,
A. K. Datta
Department of Agricultural and Biological Engineering, Riley-Robb Hall, Cornell University, Ithaca, NY 14853
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Y. Mukherjee
Y. Mukherjee
DeHan Engineering Numerics, 95 Brown Road, Ithaca, NY 14850
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X. Shi
Department of Agricultural and Biological Engineering, Riley-Robb Hall, Cornell University, Ithaca, NY 14853
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. Dec 1998, 120(6): 720-726 (7 pages)
Published Online: December 1, 1998
Article history
Received:
May 14, 1997
Revised:
June 24, 1998
Online:
January 23, 2008
Citation
Shi, X., Datta, A. K., and Mukherjee, Y. (December 1, 1998). "Thermal Stresses From Large Volumetric Expansion During Freezing of Biomaterials." ASME. J Biomech Eng. December 1998; 120(6): 720–726. https://doi.org/10.1115/1.2834885
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