Ice Mechanics. Part 1. Integral Representations for the Viscoelastic Deformation of Ice. Part 2. Single Integral Representations in Ice Mechanics.

Abstract

Integral Representation for the Viscoelastic Deformation of Ice. Various single integral representations which describe non-linear viscoelastic response are examined with regard to the types of test required to determine the respective kernels. A strain formulation determined by constant uniaxial stress response typical of ice, and its predictions for constant strain-rate response, are reviewed, showing that the latter are sensitive to kernel detail. An alternative stress formulation which is determined by constant strain-rate response is constructed, and it is shown that the predicted strain and strain-rate responses at constant stress are compatible with the typical responses exhibited by ice. Single Integral Representations in Ice Mechanics. A single integral viscoelastic constitutive equation for ice is developed which possesses significant theoretical and practical advantages over previously suggested equations of this type (Spring and Morland, 1983). The theory is specialized to the case of small strain uniaxial compression and the resulting constitutive equation is shown to verify the relations between experimental data obtained in constant load (CL) creep tests and constant displacement rate (CD) 'strength' tests conjectured in Mellor and Cole (1982) and demonstrated in Mellor and Cole (1983). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1984
Accession Number
ADA141710

Entities

People

  • H. T. Williams
  • L. W. Morland
  • U. Spring

Organizations

  • University of East Anglia

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Cold Regions
  • Compression
  • Constitutive Equations
  • Creep
  • Creep Tests
  • Differential Equations
  • Engineering
  • Equations
  • Experimental Data
  • Ice Mechanics
  • Integral Equations
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Physics
  • Strain Rate

Readers

  • Calculus or Mathematical Analysis
  • Polar and Arctic Studies
  • Structural Dynamics.