A Constitutive Model for Stud Connection in Composite Structures
The complexity of finite element analysis for composite structures can be significantly reduced by representing the connector and adjacent concrete as a macroscopic element. Nevertheless, the prevailing macroscopic models for shear connections predominantly employ nonlinear elastic theory. This appr...
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| Published in: | Buildings (Basel) Vol. 14; no. 4; p. 1018 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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MDPI AG
01.04.2024
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| ISSN: | 2075-5309, 2075-5309 |
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| Abstract | The complexity of finite element analysis for composite structures can be significantly reduced by representing the connector and adjacent concrete as a macroscopic element. Nevertheless, the prevailing macroscopic models for shear connections predominantly employ nonlinear elastic theory. This approach introduces inaccuracies in estimating structural stiffness and load-bearing capabilities, primarily due to its inability to precisely capture the cumulative effects of plastic damage. In response, this study introduces a novel macroscopic elastoplastic model grounded in plasticity theory, aimed at accurately characterizing the nonlinear behavior of stud connections subjected to concurrent shear and tensile forces. This paper meticulously delineates the implementation of the elastoplastic constitutive model using the backward Euler method for numerical integration. It further articulates the derivation of the consistent tangent stiffness, which aligns with the convergence efficiency of the Newton–Raphson iterative approach. The computation of the element stiffness matrix for a two-node element is executed via the governing equation inherent to the finite element method. An exemplar macroelement test conducted in ABAQUS affirms the implicit backward Euler scheme’s stability and consistency across varying tolerances. Validation of the elastoplastic model against empirical test outcomes corroborates its efficacy, demonstrating the model’s precision in predicting the load–displacement behavior of stud connections under the influence of shear and tensile forces. |
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| AbstractList | The complexity of finite element analysis for composite structures can be significantly reduced by representing the connector and adjacent concrete as a macroscopic element. Nevertheless, the prevailing macroscopic models for shear connections predominantly employ nonlinear elastic theory. This approach introduces inaccuracies in estimating structural stiffness and load-bearing capabilities, primarily due to its inability to precisely capture the cumulative effects of plastic damage. In response, this study introduces a novel macroscopic elastoplastic model grounded in plasticity theory, aimed at accurately characterizing the nonlinear behavior of stud connections subjected to concurrent shear and tensile forces. This paper meticulously delineates the implementation of the elastoplastic constitutive model using the backward Euler method for numerical integration. It further articulates the derivation of the consistent tangent stiffness, which aligns with the convergence efficiency of the Newton–Raphson iterative approach. The computation of the element stiffness matrix for a two-node element is executed via the governing equation inherent to the finite element method. An exemplar macroelement test conducted in ABAQUS affirms the implicit backward Euler scheme’s stability and consistency across varying tolerances. Validation of the elastoplastic model against empirical test outcomes corroborates its efficacy, demonstrating the model’s precision in predicting the load–displacement behavior of stud connections under the influence of shear and tensile forces. |
| Audience | Academic |
| Author | Zhao, Wei Qin, Xi |
| Author_xml | – sequence: 1 givenname: Xi orcidid: 0000-0001-7866-0023 surname: Qin fullname: Qin, Xi – sequence: 2 givenname: Wei surname: Zhao fullname: Zhao, Wei |
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| SubjectTerms | back Euler method Composite structures Concrete consistent tangent stiffness constitutive integration algorithm Constitutive models elastoplastic model Elastoplasticity Empirical analysis Failure Finite element analysis Finite element method Load Load bearing elements Macroscopic models Mathematical models Model testing Numerical integration Plasticity Shear Shear strength Stiffness matrix Strain hardening stud connection |
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| Title | A Constitutive Model for Stud Connection in Composite Structures |
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