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TECHNICAL PAPERS

Nonlinear Response and Failure of Steel Elbows Under In-Plane Bending and Pressure

[+] Author and Article Information
S. A. Karamanos, E. Giakoumatos

Department of Mechanical and Industrial Engineering, University of Thessaly, Volos 38334, Greece

A. M. Gresnigt

Faculty of Civil Engineering and Geosciences, Delft University of Technology, Delft 2600 GA, The Netherlands

J. Pressure Vessel Technol 125(4), 393-402 (Nov 04, 2003) (10 pages) doi:10.1115/1.1613949 History: Received November 17, 2002; Revised June 04, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

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Figures

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Tube element; (a) general configuration, (b) cross-sectional ovalization and (c) warping deformation
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TNO experiments 17; specimen geometry
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Experimental setup and final configuration of specimen 75; opening bending moments
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(a) Flattened configuration of specimen 83 (closing moments) and (b), (c) buckled configuration of specimens 82, 84 (opening moments) around the middle cross-section of the specimen
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(a) Moment-curvature and (b) ovalization-curvature response of a thin-walled elbow with D/t=90 and R/r=6 for two pressure levels; closing and opening bending moments (Mp=73,410 N-m, kI=4.353×10−5 mm−1, py=8.54 MPa); tube element analysis
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Shell finite element models: (a) for specimens 81, 82, and (b) for specimens 83, 84. For symmetry reasons, one-quarter of each specimen is analyzed.
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Moment-rotation paths for thin nonpressurized specimens 81 and 82; comparison between test data and numerical results
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Moment-rotation paths for thin nonpressurized specimens 83 and 84; comparison between test data and numerical results
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Points of cross-section C employed for defining cross-sectional rotation in the shell element analysis
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Moment-rotation paths for nonpressurized specimens 70 and 71; comparison between test data and numerical results
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Moment-rotation paths for nonpressurized specimens 72 and 73; comparison between test data and numerical results
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Moment-rotation paths for pressurized specimens 74 and 75; comparison between test data and numerical results
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Cross-sectional flattening versus rotation for moderately thin pressurized specimens 83 and 84; comparison between test data and results from tube element analysis. ΔD is the change of length of the diameter on the plane of bending.
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Internal pressure effects on the initial flexibility of specimens 83 and 84; test data versus numerical results (pressure values in MPa); elastic behavior
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(a) Ovalized shape of specimen 83 and (b) buckled shape of specimen 84 around the middle cross-section (analysis with shell elements S8R5)
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(a) Deformed cross-sectional shape and (b) longitudinal stresses around the pipe middle-section of specimen 84, at buckling stage (σy=380 MPa)

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