SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY
ABSTRACT: The paper analyzes the vertical penetration of a small object through a floating sea ice plate. The analysis takes into account the fact that the bending cracks reach only through part of the ice plate thickness and have a variable depth profile. The cracks are modeled according to the Ric...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.694.9654 2023-05-15T18:18:08+02:00 SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY Zdenek P. Bazant Fellow Jang Jay H. Kim The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.9654 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/375.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.9654 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/375.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/375.pdf text ftciteseerx 2016-01-08T18:35:32Z ABSTRACT: The paper analyzes the vertical penetration of a small object through a floating sea ice plate. The analysis takes into account the fact that the bending cracks reach only through part of the ice plate thickness and have a variable depth profile. The cracks are modeled according to the Rice-Levy nonlinear softening line spring model. The plate-crack interaction is characterized in terms of the compliance functions for the bending moments and normal forces in the crack plane. which are computed by an energy-based variational finite-difference method. The radial crack is divided into vertical strips, and a numerical algorithm with step-by-step loading is developed to calculate the vertical growth of the crack in each strip for a prescribed radial crack length increment. The initiation of crack strips from the surface of the plate is decided on the basis of a yield strength criterion with a fracture based flow rule. Systems of up to 300 nonlinear equations are solved by the Levenberg-Marquardt optimization algorithm. The maximum load is reached when the circumferential cracks begin to form. Numerical calculations. comparison of the results with test data, and a study of scaling laws are relegated to the companion paper, which follows in this issue. Numerical calculations show a typical quasi brittle size effect such that the plot of log (IN versus log h (where (IN = nominal stress at maximum load and h = plate thickness) is a descending curve whose slope is negligible only for h < 0.2 m and then gets gradually steeper, asymptotically approaching-1/2. The calculated size effect agrees with the existing test data, and contradicts previous plasticity solutions. Text Sea ice Unknown Levy ENVELOPE(-66.567,-66.567,-66.320,-66.320) |
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description |
ABSTRACT: The paper analyzes the vertical penetration of a small object through a floating sea ice plate. The analysis takes into account the fact that the bending cracks reach only through part of the ice plate thickness and have a variable depth profile. The cracks are modeled according to the Rice-Levy nonlinear softening line spring model. The plate-crack interaction is characterized in terms of the compliance functions for the bending moments and normal forces in the crack plane. which are computed by an energy-based variational finite-difference method. The radial crack is divided into vertical strips, and a numerical algorithm with step-by-step loading is developed to calculate the vertical growth of the crack in each strip for a prescribed radial crack length increment. The initiation of crack strips from the surface of the plate is decided on the basis of a yield strength criterion with a fracture based flow rule. Systems of up to 300 nonlinear equations are solved by the Levenberg-Marquardt optimization algorithm. The maximum load is reached when the circumferential cracks begin to form. Numerical calculations. comparison of the results with test data, and a study of scaling laws are relegated to the companion paper, which follows in this issue. Numerical calculations show a typical quasi brittle size effect such that the plot of log (IN versus log h (where (IN = nominal stress at maximum load and h = plate thickness) is a descending curve whose slope is negligible only for h < 0.2 m and then gets gradually steeper, asymptotically approaching-1/2. The calculated size effect agrees with the existing test data, and contradicts previous plasticity solutions. |
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The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Zdenek P. Bazant Fellow Jang Jay H. Kim |
spellingShingle |
Zdenek P. Bazant Fellow Jang Jay H. Kim SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
author_facet |
Zdenek P. Bazant Fellow Jang Jay H. Kim |
author_sort |
Zdenek P. Bazant Fellow |
title |
SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
title_short |
SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
title_full |
SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
title_fullStr |
SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
title_full_unstemmed |
SIZE EFFECT IN PENETRATION OF SEA ICE PLATE WITH PART-THROUGH CRACKS. I: THEORY |
title_sort |
size effect in penetration of sea ice plate with part-through cracks. i: theory |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.9654 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/375.pdf |
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ENVELOPE(-66.567,-66.567,-66.320,-66.320) |
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Levy |
geographic_facet |
Levy |
genre |
Sea ice |
genre_facet |
Sea ice |
op_source |
http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/375.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.9654 http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/375.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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