Numerical Integration of Transient Creep Constitutive Equations for Polycrystalline Ice

by S. Shyam Sunder, Massachusetts Inst of Technology, Cambridge, United States,
Alex A. Elvin, Massachusetts Inst of Technology, Cambridge, United States,
S. Nanthikesan, Massachusetts Inst of Technology, Cambridge, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

A numerical time integration algorithm is developed to solved the system of coupled, first-order differential equations characterizing the physically-based constitutive model of Shyam Sunder and Wu (1989 a,b) for transient creep in polycrystalline ice. The nonlinear constitutive equations with internal state variables are solved using Newton-Raphson iteration in conjunction with the ?-method of time integration. The material model is implemented in the general purpose finite element program ABAQUS. Representative results for the classical ice sheet indentation problem illustrating the use of the algorithm are included.

Subject Headings: Ice | Finite element method | Creep | Transient response | Numerical methods | Constitutive relations | Numerical models

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