TECHNICAL PAPERS
Apr 1, 1989

Finite Element Model for Curved Embedded Reinforcement

Publication: Journal of Engineering Mechanics
Volume 115, Issue 4

Abstract

The geometric relations required for an embedded finite element representation of generally curved reinforcing bars or prestressing tendons are developed. For practical reasons, the reinforcing layers are described in global coordinates, independently of the finite element mesh. An inverse mapping procedure is developed to transform global coordinates of points on the reinforcement layer into local natural coordinates in the parent element. The strain field in the layer is discussed, including a bond slip model. The principle of virtual work is used to derive the various element matrices. The procedure is successfully tested, using both regular and irregular meshes, on three test problems: a uniform strain field, and two versions of a quarter ring under external pressure.

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References

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ABAQUS theory manual. (1983). Hibbett, Karlson, and Sorenson Inc.
2.
Balakrishnan, S., and Murray, D. W. (1986). “Finite element prediction of reinforced concrete behaviour.” Structural Engineering Report No. 138, University of Alberta, Edmonton, Alberta, Canada.
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Bažant, Z. P. (1985). “Fracture in concrete and reinforced concrete.” Mechanics of geomaterials, Z. Bažant, ed. John Wiley and Sons, Ltd.
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Chang, T. Y., Taniguchi, H., and Chen, W. F. (1987). “Nonlinear finite element analysis of reinforced concrete panels.” J. Struct. Engrg., 113(1), 122–140.
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Elwi, A. E., and Murray, D. W. (1980). “Nonlinear analysis of axisymmetric reinforced concrete structures.” Structural Engineering Report No. 87, University of Alberta, Edmonton, Alberta, Canada.
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Phillips, D. V., and Zienkiewicz, O. C. (1976). “Finite element Non‐linear anlaysis of concrete structures.” Proc. Instit. Civ. Engrs., Part 2, 61(3), 59–88.
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Pinto, S. D. S. (1982). “Adatacao Ao Programa Nonsap de um Elemento de Armadura para Analise de Estruturas de Concreto Armado,” thesis presented to the Pontificia Universidade Catolica do Rio de Janeiro, at Rio de Janeiro, Brazil, in partial fulfillment of the requirements for the degree of Master of Science (in Portuguese).

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 4April 1989
Pages: 740 - 754

History

Published online: Apr 1, 1989
Published in print: Apr 1989

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Authors

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Alaa E. Elwi
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada, T6G 2G7
Terry M. Hrudey, Members, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada, T6G 2G7

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