Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.11.040 ◽

2021 ◽

Vol 93 ◽

pp. 326-359

Author(s):

Du Dinh Nguyen ◽

Minh Ngoc Nguyen ◽

Nguyen Dinh Duc ◽

Jaroon Rungamornrat ◽

Tinh Quoc Bui

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Numerical Integration ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Integration Schemes ◽

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A total Lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part II: Arches, frames and axisymmetric shells

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620230209 ◽

1986 ◽

Vol 23 (2) ◽

pp. 253-274 ◽

Author(s):

J. Oliver ◽

E. Onate

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Lagrangian Formulation ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Axisymmetric Shells ◽

Total Lagrangian Formulation

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Geometrically nonlinear analysis of functionally graded shells using an edge-based smoothed MITC3 (ES-MITC3) finite elements

Engineering With Computers ◽

10.1007/s00366-019-00750-z ◽

2019 ◽

Vol 36 (3) ◽

pp. 1069-1082 ◽

Author(s):

Quoc-Hoa Pham ◽

Tien-Dat Pham ◽

Quoc V. Trinh ◽

Duc-Huynh Phan

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Functionally Graded ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

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Quadratic Solid–Shell Finite Elements for Geometrically Nonlinear Analysis of Functionally Graded Material Plates

Materials ◽

10.3390/ma11061046 ◽

2018 ◽

Vol 11 (6) ◽

pp. 1046 ◽

Author(s):

Hocine Chalal ◽

Farid Abed-Meraim

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Functionally Graded Material ◽

Functionally Graded ◽

Geometrically Nonlinear ◽

Solid Shell ◽

Geometrically Nonlinear Analysis ◽

Graded Material

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Advantages of the mixed format in geometrically nonlinear analysis of beams and shells using solid finite elements

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5322 ◽

2016 ◽

Vol 109 (9) ◽

pp. 1237-1262 ◽

Author(s):

D. Magisano ◽

L. Leonetti ◽

G. Garcea

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Solid Finite Elements ◽

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Geometrically nonlinear analysis of composite stiffened plates using finite elements

Composite Structures ◽

10.1016/0263-8223(95)00004-6 ◽

1995 ◽

Vol 31 (2) ◽

pp. 107-118 ◽

Author(s):

B. Chattopadhyay ◽

P.K. Sinha ◽

M. Mukhopadhyay

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Stiffened Plates ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis

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Geometrically nonlinear analysis of hyperelastic solids by high-order tetrahedral finite elements

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/10/1/012231 ◽

2010 ◽

Vol 10 ◽

pp. 012231

Author(s):

João P Pascon ◽

Humberto B Coda

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis

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Hierarchical beam finite elements for geometrically nonlinear analysis coupled with Asymptotic Numerical Method

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2020.1743898 ◽

2020 ◽

pp. 1-14

Author(s):

Yanchuan Hui ◽

Qun Huang ◽

Gabriele De Pietro ◽

Gaetano Giunta ◽

Heng Hu ◽

...

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Numerical Method ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Asymptotic Numerical Method

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A family of simple and robust finite elements for linear and geometrically nonlinear analysis of laminated composite plates

Composite Structures ◽

10.1016/j.compstruct.2006.04.016 ◽

2006 ◽

Vol 75 (1-4) ◽

pp. 545-552 ◽

Author(s):

Y.X. Zhang ◽

C.H. Yang

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Laminated Composite ◽

Composite Plates ◽

Geometrically Nonlinear ◽

Laminated Composite Plates ◽

Geometrically Nonlinear Analysis

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Geometrically nonlinear analysis of shallow shells using higher order finite elements

Computers & Structures ◽

10.1016/0045-7949(89)90380-5 ◽

1989 ◽

Vol 31 (3) ◽

pp. 329-338 ◽

Author(s):

H.C. Chan ◽

W.C. Chung

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Higher Order ◽

Geometrically Nonlinear ◽

Geometrically Nonlinear Analysis ◽

Shallow Shells ◽

Higher Order Finite Elements

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A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two-dimensional problems: Shell and plate structures

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620201208 ◽

1984 ◽

Vol 20 (12) ◽

pp. 2253-2281 ◽

Author(s):

J. Oliver ◽

E. O??ate

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Lagrangian Formulation ◽

Geometrically Nonlinear ◽

Two Dimensional ◽

Plate Structures ◽

Geometrically Nonlinear Analysis ◽

Total Lagrangian Formulation

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