Hybrid strain-based three-node flat triangular laminated composite shell elements

To, C.W.S.; Wang, B.

doi:10.1016/s0168-874x(97)00037-1

Cited by 18 publications

(6 citation statements)

References 27 publications

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“…Existing 3-node triangular shell elements can be categorized into 4 types: Type 1 with only 3 displacement degrees-of-freedom (dofs) per node [14][15][16][17][18][19][20][21][22]; Type 2 with 3 displacement dofs and 2 rotational dofs per node [23][24][25]; Type 3 with 3 displacement dofs at the vertices and the rotational dofs at side nodes [26][27]; Type 4 with 3 displacement dofs and 3 rotational dofs per node [28][29][30][31][32][33]. Most existing 3-node rotation-free triangular shell elements are based on the Kirchhoff assumption, ignoring shear deformation, can therefore only be employed in modeling thin plate and shell problems [21].…”

Section: Introductionmentioning

confidence: 99%

“…As the shell thickness decreases, the convergence of the finite element solution rapidly deteriorates [8]. Researchers developed methods to overcome locking phenomena in flat triangular shell elements, such as the Mixed Interpolation of Tensorial Components method used in the MITC3 element [8], the line integration method used in TRIA3 element [42], the mixed or hybrid formulation [43][44][45], incompatible displacement methods [46][47], stabilization methods [29,[48][49][50][51][52][53][54], assumed strain methods [19,28,55], etc.…”

Section: Introductionmentioning

confidence: 99%

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A 3-Node Co-Rotational Triangular Elasto-Plastic Shell Element Using Vectorial Rotational Variables

Li¹,

Izzuddin²,

Vu‐Quoc³

et al. 2017

Volume 13 Number 3

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A 3-node co-rotational triangular elasto-plastic shell element is developed. The local coordinate system of the element employs a zero-'macro spin' framework at the macro element level, thus reducing the material spin over the element domain, and resulting in an invariance of the element tangent stiffness matrix to the order of the node numbering. The two smallest components of each nodal orientation vector are defined as rotational variables, achieving the desired additive property for all nodal variables in a nonlinear incremental solution procedure. Different from other existing co-rotational finite-element formulations, both element tangent stiffness matrices in the local and global coordinate systems are symmetric owing to the commutativity of the nodal variables in calculating the second derivatives of strain energy with respect to the local nodal variables and, through chain differentiation with respect to the global nodal variables. For elasto-plastic analysis, the Maxwell-Huber-Hencky-von Mises yield criterion is employed together with the backward-Euler return-mapping method for the evaluation of the elasto-plastic stress state, where a consistent tangent modulus matrix is used. Assumed membrane strains and assumed shear strains---calculated respectively from the edge-member membrane strains and the edge-member transverse shear strains---are employed to overcome locking problems, and the residual bending flexibility is added to the transverse shear flexibility to improve further the accuracy of the element. The reliability and convergence of the proposed 3-node triangular shell element formulation are verified through two elastic plate patch tests as well as three elastic and three elasto-plastic plate/shell problems undergoing large displacements and large rotations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A 3-Node Co-Rotational Triangular Elasto-Plastic Shell Element Using Vectorial Rotational Variables

Li¹,

Izzuddin²,

Vu‐Quoc³

et al. 2017

Volume 13 Number 3

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“…A three-node triangular at shell element was presented for geometrically non-linear analysis of laminated plate and shells by Kapania and Mohan [18]. To and Wang [19] developed several simple three-node hybrid strain-based laminated composite at triangular shell ÿnite elements with six degrees of freedom at each node and they were compatible with the ÿrst-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

A refined non‐linear non‐conforming triangular plate/shell element

Zhang

Cheung

2003

Numerical Meth Engineering

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SUMMARYA reÿned non-conforming triangular plate=shell element for geometric non-linear analysis of plates=shells using the total Lagrangian=updated Lagrangian approach is constructed in this paper based on the reÿned non-conforming element method for geometric non-linear analysis. The Allman's triangular plane element with vertex degrees of freedom and the reÿned triangular plate-bending element RT9 are used to construct the present element. Numerical examples demonstrate that the accuracy of the new element is quite high in the geometric non-linear analysis of plates=shells.

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“…The vertical deflections w A at the center point A of the shell with several span-to-thickness ratios a/h determined by the SQ4C elements are compared with other references in Table 7. Table 7 shows the accuracyof the present method with very favorable references [4,[16][17][18][19].…”

Section: Static Analysismentioning

confidence: 98%

A Combined Strain Element in Static, Frequency and Buckling Analyses of Laminated Composite Plates and Shells

Ton-That

Nguyen‐Van

2020

Period. Polytech. Civil Eng.

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This paper deals with numerical analyses of laminated composite plate and shell structures using a new four-node quadrilateral flat shell element, namely SQ4C, based on the first-order shear deformation theory (FSDT) and a combined strain strategy. The main notion of the combined strain strategy is based on the combination of the membrane strain and shear strain related to tying points as well as bending strain with respect to cell-based smoothed finite element method. Many desirable characteristics and the enforcement of the SQ4C element are verified and proved through various numerical examples in static, frequency and buckling analyses of laminated composite plate and shell structures. Numerical results and comparison with other reference solutions suggest that the present element is accuracy, efficiency and removal of shear and membrane locking.

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Hybrid strain-based three-node flat triangular laminated composite shell elements

Cited by 18 publications

References 27 publications

A 3-Node Co-Rotational Triangular Elasto-Plastic Shell Element Using Vectorial Rotational Variables

A 3-Node Co-Rotational Triangular Elasto-Plastic Shell Element Using Vectorial Rotational Variables

A refined non‐linear non‐conforming triangular plate/shell element

A Combined Strain Element in Static, Frequency and Buckling Analyses of Laminated Composite Plates and Shells

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