© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model
Abstract. The paper analyses the effect of structure size on the nominal strength of the structure that is implied by the cohesive (or fictitious) crack model proposed for concrete by Hillerborg et al. A new method to calculate the maximum load of geometrically similar structures of different sizes...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.694.7408 2023-05-15T18:18:41+02:00 © 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model Yuan-neng Li Zdenek P. Bazant The Pennsylvania State University CiteSeerX Archives 1993 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.7408 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.7408 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf text 1993 ftciteseerx 2016-01-08T18:34:48Z Abstract. The paper analyses the effect of structure size on the nominal strength of the structure that is implied by the cohesive (or fictitious) crack model proposed for concrete by Hillerborg et al. A new method to calculate the maximum load of geometrically similar structures of different sizes without calculating the entire load-deflection curves is presented. The problem is reduced to a matrix eigenvalue problem, in which the structure size for which the maximum load occurs at the given (relative) length of the cohesive crack is obtained as the smallest eigenvalue. Subsequently, the maximum load. nominal strength and load-point displacement are calculated from the matrix equilibrium equation. The nonlinearity of the softening stress-displacement law is handled by iteration. For a linear softening law. the eigenvalue problem is lineaf and independent of the matrix equilibrium equation, and the peak load can then be obtained without solving the equilibrium equation. The effect of the shape of the softening law is studied. and it is found that the size effect curve is not very sensitive to it. The generalized size effect law proposed earlier by Bahnt. which describes a transition between the horizontal and inclined asymptotes of strength theory and linear elastic fracture mechanics. is found to fit the numerical results very well. Finally some implications for the determination of fracture energy from the size effect tests are discussed. The results are of interest for quasi brittle materials such as concrete, rocks, sea ice and modem tough ceramics. 1. Text Sea ice Unknown |
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description |
Abstract. The paper analyses the effect of structure size on the nominal strength of the structure that is implied by the cohesive (or fictitious) crack model proposed for concrete by Hillerborg et al. A new method to calculate the maximum load of geometrically similar structures of different sizes without calculating the entire load-deflection curves is presented. The problem is reduced to a matrix eigenvalue problem, in which the structure size for which the maximum load occurs at the given (relative) length of the cohesive crack is obtained as the smallest eigenvalue. Subsequently, the maximum load. nominal strength and load-point displacement are calculated from the matrix equilibrium equation. The nonlinearity of the softening stress-displacement law is handled by iteration. For a linear softening law. the eigenvalue problem is lineaf and independent of the matrix equilibrium equation, and the peak load can then be obtained without solving the equilibrium equation. The effect of the shape of the softening law is studied. and it is found that the size effect curve is not very sensitive to it. The generalized size effect law proposed earlier by Bahnt. which describes a transition between the horizontal and inclined asymptotes of strength theory and linear elastic fracture mechanics. is found to fit the numerical results very well. Finally some implications for the determination of fracture energy from the size effect tests are discussed. The results are of interest for quasi brittle materials such as concrete, rocks, sea ice and modem tough ceramics. 1. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Yuan-neng Li Zdenek P. Bazant |
spellingShingle |
Yuan-neng Li Zdenek P. Bazant © 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
author_facet |
Yuan-neng Li Zdenek P. Bazant |
author_sort |
Yuan-neng Li |
title |
© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
title_short |
© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
title_full |
© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
title_fullStr |
© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
title_full_unstemmed |
© 1994 Kluwer Academic Publishers. Printed in the Netherlands. Eigenvalue analysis of size effect for cohesive crack model |
title_sort |
© 1994 kluwer academic publishers. printed in the netherlands. eigenvalue analysis of size effect for cohesive crack model |
publishDate |
1993 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.7408 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.7408 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/322.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766195332069195776 |