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Title: Plastic deformation of floating ice plates subjected to static loads
Authors: New York University. Institute of Mathematical Sciences.
Kerr, Arnold D.
Keywords: Ice
Ice strength
Mathematical models
Mathematical analysis
Floating ice
Plastic deformation
Flexural strength
Ice cover strength
Elastic shells
Elastic plates
University of Denver
Publisher: U.S. Army Snow, Ice, and Permafrost Research Establishment.
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (U.S. Army Snow
Description: Research Report
Summary: The problem is analyzed mathematically for decreasing and increasing rates of deflection. The analysis is based on the assumptions that for decreasing rates of deflection the floating ice plate will deform under lateral load without failure until the weight of the displaced water is equal to that of the load, and that for increasing rates, deflection increases until the ice plate collapses under and near the load. It is also suggested that the total deflection at a certain time is the result of the elastic deflection surface and the plastic deflection due to shear only, the shear forces obeying Newton's law of viscosity. Deflection equations for plastic deflection due to shear are derived for an infinite plate subjected to a line load, an infinite plate subjected to a concentrated force (axially symmetrical flexure), and an infinite plate subjected to uniform circular load. Equations for elastic deflection to be added to the plastic deflection due to shear are suggested. According to the statements and assumptions made and the results obtained, the total system of an ice plate resting on a liquid base can be considered as a Kelvin body for the case of decreasing rates of deflection.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Research Report

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