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Refined 15-DOF triangular discrete degenerated shell element with high performances. (English) Zbl 1060.74646
Summary: A refined discrete degenerated 15-DOF triangular shell element RDTS15 with high performances is proposed. For constructing the element displacement function, the exact displacement function of the Timoshenko’s beam is used as the displacement on the element boundary, and the re-constitute method for shear strain matrix is adopted. The proposed element can be used in the analysis of both moderate thick and thin plates/shells. Numerical examples presented show that the new model indeed possesses higher accuracy in the analysis of thin and thick plates/shells, and that it can pass the patch test required for the Kirchhoff thin plate elements, and also passed the inf-sup test for free cylindrical shell problems and satisfied both the bending- and membrane-dominated test.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
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