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An alternative
method for computing the splitting factor of noncompatible
generalized mixed elements with distortion
Zhenyu Wang, Guanghui Qing and Jintao Zhou |
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Vol. 20 (2025), No. 2, 173–191
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Abstract |
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A novel method for computing the splitting factor of the four-node noncompatible generalized mixed element in 2D linear elastic problems is proposed, based on the fact that the distorted elements alter the stiffness and compliance of generalized mixed models. Specifically, a quantity describing the distortion degree of the distorted element is defined by the sum of the deviations of the stiffness and compliance matrices between the distorted element and the rectangular or square element. Based on the distortion degree of distorted elements, a formulation for computing the splitting factor was constructed. Several representative examples with varying geometrical parameters, boundary and loading conditions are used to validate the effectiveness of proposed method. In comparison with the method using the splitting factor of 0.75 for all elements, the proposed method has the numerical results of higher accuracy and excellent convergence. |
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Keywords
noncompatible generalized mixed element, splitting factor,
distorted mesh, distorted element, stiffness matrix,
compliance matrix
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Milestones
Received: 23 October 2024
Revised: 24 March 2025
Accepted: 6 April 2025
Published: 5 August 2025
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Authors |
| Zhenyu Wang | |
| School of Aeronautical
Engineering Civil Aviation University of China Tianjin, 300300 China |
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| Guanghui Qing | |
| School of Aeronautical
Engineering Civil Aviation University of China Tianjin, 300300 China |
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| Jintao Zhou | |
| School of Aeronautical
Engineering Civil Aviation University of China Tianjin, 300300 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
