The MITC3+ shell element in geometric nonlinear analysis. (January 2015)

• Record Type: Journal Article
• Authors: Jeon, Hyeong-Min; Lee, Youngyu; Lee, Phill-Seung; Bathe, Klaus-Jürgen
• Is Part Of: Computers & structures. Volume 146(2015)
• Page Start: 91
• Page End: 104
• Publication Date: 2015-01
• Subjects: Shell element -- 3-node triangular element -- Mixed finite element method -- MITC method -- Geometric nonlinear analysis -- Large displacements and rotations; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2014.09.004
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: We present the MITC3+ shell finite element for geometric nonlinear analysis. The Lagrangian formulation is employed allowing for large displacement kinematics. An excellent performance of the element is demonstrated in nonlinear example solutions. Abstract: In this paper, we present the MITC3+ shell finite element for geometric nonlinear analysis and demonstrate its performance. The MITC3+ shell element, recently proposed for linear analysis [1], represents a further development of the MITC3 shell element. The total Lagrangian formulation is employed allowing for large displacements and large rotations. Considering several analysis problems, the nonlinear solutions using the MITC3+ shell element are compared with those obtained using the MITC3 and MITC4 shell elements. We conclude that the MITC3+ shell element shows, in the problems considered, the same excellent performance in geometric nonlinear analysis as already observed in linear analysis.