A plasticity based model and an adaptive algorithm for finite element analysis of reinforced concrete panels
This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we will present a plasticity based model for plain concrete which captures the two failure modes of concrete within one formulation. In spite of...
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Published in | International journal for numerical methods in engineering Vol. 53; no. 11; pp. 2445 - 2462 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Chichester, UK
John Wiley & Sons, Ltd
20.04.2002
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Subjects | |
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Abstract | This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we will present a plasticity based model for plain concrete which captures the two failure modes of concrete within one formulation. In spite of a simple formulation the model is capable to describe the different mechanisms for tensile failure as well as for compression fracture. To restrict the time discretization error and the spatial discretization error to certain tolerances, the constitutive model is embedded in an adaptive algorithm which controls the size of the incremental load steps and leads to a hierarchical mesh refinement if necessary. The application of the model will be shown by various numerical examples. Copyright © 2002 John Wiley & Sons, Ltd. |
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AbstractList | Abstract
This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we will present a plasticity based model for plain concrete which captures the two failure modes of concrete within one formulation. In spite of a simple formulation the model is capable to describe the different mechanisms for tensile failure as well as for compression fracture. To restrict the time discretization error and the spatial discretization error to certain tolerances, the constitutive model is embedded in an adaptive algorithm which controls the size of the incremental load steps and leads to a hierarchical mesh refinement if necessary. The application of the model will be shown by various numerical examples. Copyright © 2002 John Wiley & Sons, Ltd. This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we will present a plasticity based model for plain concrete which captures the two failure modes of concrete within one formulation. In spite of a simple formulation the model is capable to describe the different mechanisms for tensile failure as well as for compression fracture. To restrict the time discretization error and the spatial discretization error to certain tolerances, the constitutive model is embedded in an adaptive algorithm which controls the size of the incremental load steps and leads to a hierarchical mesh refinement if necessary. The application of the model will be shown by various numerical examples. This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we will present a plasticity based model for plain concrete which captures the two failure modes of concrete within one formulation. In spite of a simple formulation the model is capable to describe the different mechanisms for tensile failure as well as for compression fracture. To restrict the time discretization error and the spatial discretization error to certain tolerances, the constitutive model is embedded in an adaptive algorithm which controls the size of the incremental load steps and leads to a hierarchical mesh refinement if necessary. The application of the model will be shown by various numerical examples. Copyright © 2002 John Wiley & Sons, Ltd. |
Author | Pravida, J. Wunderlich, W. |
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References | Johnson C, Hansbo P. Adaptive finite element method in computational mechanics. Computer Methods in Applied Mechanics and Engineering 1992; 101:143-181. Ortiz M, Quigley JJ. Adaptive mesh refinement in strain localization problems. Computer Methods in Applied Mechanics and Engineering 1991; 90:781-904. Koiter WT. Stress strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface. Quarterly Journal of Applied Mathematics 1953; 11:350-354. Wunderlich W, Kutter HK, Cramer H, Rahn W. Finite-Element-Modelle für die Beschreibung des Materialverhaltens von Fels Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum, Technisch-wissenschaftliche Mitteilungen Nr. 81-10, 1981. Cervenka V, Gerstle KH. Inelastic analysis of reinforced concrete panels, part II: experimental verification and application. International Association of Bridge and Structural Engineers Publications 1972; 32(II):25-39. 1996 1991; 90 1972 1972; 32 1993 1981 1991 1953; 11 1992; 101 1989 1999 Cervenka V (e_1_2_1_14_2) 1972; 32 Williams JR (e_1_2_1_3_2) 1989 e_1_2_1_6_2 e_1_2_1_4_2 e_1_2_1_2_2 e_1_2_1_11_2 e_1_2_1_12_2 Wunderlich W (e_1_2_1_7_2) 1991 e_1_2_1_10_2 e_1_2_1_15_2 Wunderlich W (e_1_2_1_5_2) 1981 e_1_2_1_13_2 e_1_2_1_8_2 e_1_2_1_9_2 |
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Snippet | This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress. Therefore, we... Abstract This paper deals with an adaptive finite element procedure for the analysis of plain and reinforced concrete panels in a state of plane stress.... |
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SubjectTerms | adaptive algorithm plasticity reinforced concrete state of plane stress |
Title | A plasticity based model and an adaptive algorithm for finite element analysis of reinforced concrete panels |
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