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Models for the Deformation Behavior of Viscoelastic Media with Distributed Damage and Their Applicability to Ice

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Book cover Ice-Structure Interaction

Abstract

A constitutive theory that was originally developed for nonlinear viscoelastic composite materials with damage is described. It is shown that the predicted behavior is consistent with that of polycrystalline ice. This theory is quite different from those developed for ice by other investigators. Therefore, besides reviewing the results, we give the underlying mathematical and physical arguments. First, some aspects of linear and nonlinear viscoelastic constitutive theory without damage are reviewed. Then, previously developed results for uniaxial loading are described and shown to be consistent with the behavior of ice under conditions of constant compressive stress and strain rate. Encouraged by these results we review the basis for the theory for uniaxial and other types of proportional loading, starting with a multiaxial constitutive equation without damage and an equation for microcrack growth rate. Finally, some aspects of the nonproportional loading problem are discussed.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Texas A & M University, College Station, Texas, 77843, USA

    R. A. Schapery

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  1. R. A. Schapery
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Editor information

Editors and Affiliations

  1. Institute for Marine Dynamics, National Research Council, Station A, P.O. Box 12093, A1B 3T5, St. John’s, Newfoundland, Canada

    Stephen Jones  & Joy Tillotson  & 

  2. Ocean Engineering Research Centre Faculty of Engineering and Applied Science, Memorial University of Newfoundland, A1B 3X5, St. John’s, Newfoundland, Canada

    Richard F. McKenna  & Ian J. Jordaan  & 

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© 1991 Springer-Verlag Berlin Heidelberg

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Schapery, R.A. (1991). Models for the Deformation Behavior of Viscoelastic Media with Distributed Damage and Their Applicability to Ice. In: Jones, S., Tillotson, J., McKenna, R.F., Jordaan, I.J. (eds) Ice-Structure Interaction. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84100-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-84100-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84102-6

  • Online ISBN: 978-3-642-84100-2

  • eBook Packages: Springer Book Archive

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