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Mathematics and Mechanics of Solids
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A Thermomechanical Framework for the Transition of a Miscoelastic Liquid to a Viscoelastic Solid

K. Kannan

K. R. Rajagopal

Department of Mechanical Engineering, Texas A&M University College Station, 1X 77843, USA

We present a thermomechanical framework to describe the transition from a viscoelastic fluid to a viscoelastic solid, in which the kinetics associated with the transition and the change of response ch acteristics prior to, during, and after the transition are modeled within a unified setting. The procedures fit within the general thermodynamic framework that has been developed to describe the response of materials that can exist stress free in multiple configurations. The current study is a generalization of the studies by Rao and Rajagopal and Kannan et al. that addresses the solidification of a polymeric melt into an elastic solid.

Key Words: Viscoelastic solid • Helmholtz potential • internal energy • entropy • viscoelastic fluid

Mathematics and Mechanics of Solids, Vol. 9, No. 1, 37-59 (2004)
DOI: 10.1177/1081286503035198
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J. Merodio and K. R. Rajagopal
On Constitutive Equations For Anisotropic Nonlinearly Viscoelastic Solids
Mathematics and Mechanics of Solids, April 1, 2007; 12(2): 131 - 147.
[Abstract] [PDF]