![](images/graphics/blank.gif)
Nonlinear finite element analysis
-
Part 2 of ebook "The finite element method for solid and structural mechanics (Seventh edition)" provides readers with contents including: Chapter 10 - Background mathematics and linear shell theory; Chapter 11 - Differential geometry and calculus on manifolds; Chapter 12 - Geometrically nonlinear problems in continuum mechanics; Chapter 13 - A nonlinear geometrically exact rod model; Chapter 14 - A nonlinear geometrically exact shell model; Chapter 15 - Computer procedures for finite element analysis; Appendix A - Isoparametric finite element approximations; Appendix B - Invariants of seco...
322p
giangmacvien
21-06-2024
0
0
Download
-
Part 1 of ebook "Finite element analysis and design of steel and steel-concrete composite bridges" provides readers with contents including: Chapter 1 - Introduction; Chapter 2 - Nonlinear material behavior of the bridge components; Chapter 3 - Applied loads and stability of steel and steel-concrete composite bridges;...
227p
giangdongdinh
28-05-2024
3
2
Download
-
In the present paper, a 2D nonlinear beam element based on the geometrically exact formulation for large displacement theory of beams developed by Zienkiewicz [7] is formulated on the basis of the first-order shear deformation theory and the total Lagrangian method. The displacements of the element are described through the original (reference) configuration.
9p
dathienlang1012
03-05-2024
2
0
Download
-
In this paper, geometrical nonlinear flutter analysis of functionally graded carbon nanotubes reinforced composite plates is presented. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity. The linear piston theory is utilized to determine the aerodynamic pressure. Applying the Hamilton principle, equations of motion of a system are derived in the matrix form, and then the finite element method is used to obtain the discretized equations.
11p
dathienlang1012
03-05-2024
5
0
Download
-
In the paper "Nonlinear static analysis of bidirectional functionally graded sandwich plates using a higher-order finite element formulation" the nonlinear static behaviors of bidirectional functionally graded sandwich (BFGSW) plates are investigated using a finite element procedure. The plates consist of three layers, a homogeneous core and two bidirectional functionally graded face sheets. A nonlinear finite element formulation in sense of the von Karman nonlinear strain-displacement relation is derived in the basis of a higher-order shear deformation theory.
10p
dathienlang1012
03-05-2024
4
0
Download
-
The paper "Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes under blast loading" presents a study of the geometrical nonlinear dynamic of stiffened functionally graded composite plates reinforced by carbon nanotubes (SFG-CNTRC) subjected to blast loading. The governing equations of the system are obtained using the Mindlin plate theory and von Karman geometric nonlinearity.
11p
dathienlang1012
03-05-2024
0
0
Download
-
The paper "Nonlinear finite element approach for contact problems in hyper-elastic models" considers the contact problems between hyper-elastic bodies by using finite element analysis (FEA). In this study, high-order elements is used with its advantages such as less element usage, more accurate results and geometrical flexibility... The contribution of this paper is development of programs that can calculate and simulate the specific contact problem between hyper-elastic bodies.
10p
dathienlang1012
03-05-2024
1
0
Download
-
The developed program has been successfully implemented to model and simulate the forming process, considering various aspects of the problem. The results of the solutions have been compared and evaluated, leading to important conclusions. The research also outlines future developments in this field. It is hoped that the results and understanding of this research will contribute to the field of computational mechanics and inspire further research.
9p
dianmotminh02
03-05-2024
3
1
Download
-
Part 2 book "Transformer design principles" includes content: Electric field calculations, capacitance calculations, voltage breakdown theory and practice, high voltage impulse analysis and testing, no load and load losses, stray losses from 3D finite element analysis, thermal design, load tap changers; constrained nonlinear optimization with application to transformer design.
314p
dianmotminh00
22-04-2024
4
3
Download
-
Continued part 1, part 2 of ebook "Wavelet analysis in civil engineering" provides readers with contents including: wavelet-based nonstationary vibration analysis of a simple nonlinear system; wavelet-based probabilistic analysis; general applications;...
92p
thamnhuocgiai
24-09-2023
6
4
Download
-
This paper presents the nonlinear static bending analysis of variable thickness microplates by using the finite element method and modified couple stress. The present theory and mathematical model are confirmed by comparing the numerical data with those of open literatures.
14p
viengels
25-08-2023
7
4
Download
-
In this paper, ultimate strength and structural optimization of river-to-sea ships has been calculated by using the finite-element software, mainly to analyze under different working conditions of sagging and hogging bending moment.
6p
vifriedrich
25-08-2023
3
2
Download
-
In this paper, vibration of Timoshenko microbeams with an axial force in microelectromechanical systems (MEMS) is studied for the first time by using a nonlinear finite element procedure. Based on the von Karm´ an geometric nonlinearity and the modified couple stress theory (MCST), a beam element is formulated by employing hierarchical functions to interpolate the displacement field.
17p
viwolverine
11-07-2023
7
2
Download
-
The size-dependent behavior of a silicon microbeam with an axial force in MEMS is studied using a nonlinear finite element procedure. Based on a refined thirdorder shear deformation theory and the modified couple stress theory (MCST), nonlinear differential equations of motion for the beam are derived from Hamilton’s principle, and they are transferred to a discretized form using a two-node beam element.
13p
viwolverine
11-07-2023
3
2
Download
-
This paper investigates the geometric nonlinear effect of functionally graded beams subjected to axial static force. The material properties of the beam vary continuously in the thickness direction according to the powerlaw distributions.
6p
vispyker
16-11-2022
3
1
Download
-
In this paper, the finite element models of non-corroded and corroded SFRC beams have been constructed and verified regarding load-displacement curves, crack patterns, and failure modes. Finally, a parametric study also was performed to assess the effect of essential design parameters on the shear strength of SFRC beams under corrosion attacks.
14p
vimclaren
12-10-2022
5
3
Download
-
In this article, a Python-programmed advanced design paradigm is firstly introduced to topology and size optimization of the X-bracing system of nonlinear inelastic space steel frames. For that purpose, an advanced analysis method considering both geometric and material nonlinearities is utilized as an effective finite element analysis (FEA) solver.
13p
vimclaren
12-10-2022
8
2
Download
-
Large deflections of FG-CNTRC sandwich beams partially supported by a two-parameter elastic foundation are studied in this paper by a nonlinear finite element procedure. The core of the beams is homogeneous while the top and bottom are of CNTRC material.
6p
bobietbay
22-12-2021
8
0
Download
-
This paper presents a numerical analysis of the seismic behavior of square concrete filled steel tubular (CFST) columns. Finite element analysis (FEA) models in ABAQUS software were used to simulate a series of columns subjected to axial compression and cyclic lateral loading. The CFST columns were simulated using nonlinear tri-dimensional (3-D) finite elements for the infilled concrete, and nonlinear two-dimensional (2-D) finite elements for the steel tube.
14p
chauchaungayxua12
09-07-2021
24
2
Download
-
This study developed a set of parameters that can be used to normalize the modulus reduction and damping curves to be stressindependent. The proposed formulations for the stress-independent parameters were implemented in the finite element code SRAP and validated through producing shear modulus reduction and damping curves that match the existed ones.
16p
chauchaungayxua12
09-07-2021
11
2
Download