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TECHNICAL PAPERS

On the Interior Stress Problem for Elastic Bodies

[+] Author and Article Information
J. Helsing

Department of Solid Mechanics and NADA, Royal Institute of Technology, SE-100 44 Stockholm, Sweden

J. Appl. Mech 67(4), 658-662 (May 10, 2000) (5 pages) doi:10.1115/1.1327251 History: Received December 02, 1999; Revised May 10, 2000
Copyright © 2000 by ASME
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Figures

Grahic Jump Location
Example 1. Convergence of the reference quantity qref of (40), defined as the Euclidean norm of the hydrostatic stress on the boundary, for algorithms based on the classic Eq. (20) with z*=0, the modified formulation (27), and the modified Eq. (39). The correct value, qref=71.79088302407723 was computed using quadruple precision arithmetic.
Grahic Jump Location
Example 1. The iteration history from GMRES for the classic Eq. (20) and the modified formulation (27). The number of discretization points is 2080. The iterations are terminated when the residual is less than 5⋅10−15.
Grahic Jump Location
Example 2. Convergence of the reference quantity qref of (40) for algorithms based on the classic Eq. (20) with z* placed at the center of gravity, the modified formulation (27), and the modified Eq. (39). The correct value, qref=73.45130087430866 was computed using quadruple precision arithmetic.

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