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A refined discrete triangular Mindlin element for laminated composite plates
Ge, Zengjie,Chen, Wanji Techno-Press 2002 Structural Engineering and Mechanics, An Int'l Jou Vol.14 No.5
Based on the Mindlin plate theory, a refined discrete 15-DOF triangular laminated composite plate finite element RDTMLC with the re-constitution of the shear strain is proposed. For constituting the element displacement function, the exact displacement function of the Timoshenko's laminated composite beam as the displacement on the element boundary is used to derive the element displacements. The proposed element can be used for the analysis of both moderately thick and thin laminated composite plate, and the convergence for the very thin situation can be ensured theoretically. Numerical examples presented show that the present model indeed possesses the properties of higher accuracy for anisotropic laminated composite plates and is free of locking even for extremely thin laminated plates.
Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem
Tan Li,Zhaohui Qi,Xu Ma,Wanji Chen 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.3
In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with 39 is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element’s accuracy, the assumed stress field is derived by employing 39 rather than conventional 21. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.
Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem
Li, Tan,Qi, Zhaohui,Ma, Xu,Chen, Wanji Techno-Press 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.3
In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with $39{\beta}$ is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element's accuracy, the assumed stress field is derived by employing $39{\beta}$ rather than conventional $21{\beta}$. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.