An extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3) for free vibration analysis of cracked Reissner-Mindlin shells

Nguyen-Thoi, M. H.; Le-Anh, L.; Ho-Huu, V.; Dang-Trung, H.; Nguyen-Thoi, Trung

doi:10.1007/s11709-015-0302-1

Cited by 12 publications

(2 citation statements)

References 67 publications

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“…By using Equations (10), (20), (26), and (29), the total potential energy of the plate is written as…”

Section: Equilibrium Equationmentioning

confidence: 99%

“…With the assumed stress-strain method or re-construction techniques, Katili 916 Y. CAI AND H. ZHU [12] developed the element DKMT, Chen and Cheung [13] developed the element RDKTM, and Brasile [14] developed the element TIP3. Researchers have also made efforts to solve the problem by using the meshfree/meshless method [15][16][17], the finite volume method [18], the discrete shear gap method [19][20][21], and the smoothed finite element method [22]. Wang and Chen [23] proposed a stabilized conforming nodal integration to resolve the shear locking in meshfree plate formulation of thick-thin plates.…”

Section: Introductionmentioning

confidence: 99%

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A locking‐free nine‐DOF triangular plate element with incompatible approximation

Cai

Zhu

2016

Numerical Meth Engineering

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In this paper, a simple locking-free triangular plate element, labeled here as Mindlin-type triangular plate element with nine degrees of freedom (MTP9), is presented. The element employs an incompatible approximation with nine degrees of freedom (DOFs) independent of the nodes and the shape of the triangle to define the displacements u/v/w (which is similar to a general solid element) along the x/y/´axes. It is free of shear locking, has a proper rank, and provides stable solutions for thick and thin plates. Moreover, the paper provides a new way to develop simple and efficient locking-free thick-thin-plate/shell elements. A variety of numerical examples demonstrate the convergence, accuracy, and robustness of the present element MTP9.

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“…By using Equations (10), (20), (26), and (29), the total potential energy of the plate is written as…”

Section: Equilibrium Equationmentioning

confidence: 99%