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Abstract
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.
Keywords
noncompatible generalized mixed element, splitting factor,
distorted mesh, distorted element, stiffness matrix,
compliance matrix
Milestones
Received: 23 October 2024
Revised: 24 March 2025
Accepted: 6 April 2025
Published: 5 August 2025
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