Son H. Nguyen, Thuan N.-T. Ho, Qui X. Lieu, Tiendung Vu, Trung Nguyen-Thoi
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引用次数: 0
Abstract
An enhancement of the MITC3+ flat shell element using curvature corrections is proposed. Herein, the corrected curvature field is established through the utilization of corrected nodal derivatives that satisfy the discrete divergence consistency (DCC). The concept of DDC in this study is derived from the orthogonality condition between resultant bending stress (bending moments) and curvature (bending strain) differences within the Hu-Washizu three-field variational principle. In the context of membrane behavior, we employ the Allman-like triangular element with drilling degrees of freedom (DOFs), ensuring both the true rotation of drilling DOFs within elasticity and the effective elimination of spurious energy modes. Through numerical results, the proposed method exhibits exceptional performance in addressing plate and shell structural problems, outperforming the MITC3+. Remarkably, using the constant base demonstrates the highest level of robustness.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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