Vol. 3, No. 4, 2008

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Concentrated force acting on a power law creep half-plane

Jeffrey Jordan, Iwona Jasiuk and Aleksander Zubelewicz

Vol. 3 (2008), No. 4, 697–705

The problem of concentrated force acting on a half-plane made of a power-law creep material is solved analytically. In our approach, the constitutive equation that describes the process of dilatational deformation is omitted. The incomplete material description is used for constructing a solution by bringing the dilatational deformation to zero and, in this manner, making the material incompressible. We find solutions for two cases; one solution is for a linear viscous material, while the second is for a power-law material where the power exponent is equal to three. Solutions of the two problems are found to be very different. While the linear viscous solution is found to be the same as the linear elastic solution, the nonlinear solution is found to be significantly different. This result may give rise to a new experimental technique for characterization of materials with a nonlinear creep behavior.

concentrated force, power-law material, creep, viscous material, incompressible material
Received: 19 June 2007
Revised: 4 December 2007
Accepted: 5 December 2007
Published: 1 June 2008
Jeffrey Jordan
The G. W. W. School of Mechanical Engineering
Georgia Institute of Technology
801 Ferst Drive
Atlanta, GA 30332-0405
United States
Iwona Jasiuk
Department of Mechanical Science and Engineering
University of Illinois at Urbana-Champaign
Urbana, IL 61801-2906
United States
Aleksander Zubelewicz
Los Alamos National Laboratory
Los Alamos, NM 87545
United States