Nonlinear finite element method
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Part 1 of ebook "The finite element method for solid and structural mechanics (Seventh edition)" provides readers with contents including: Chapter 1 - General problems in solid mechanics and nonlinearity; Chapter 2 - Galerkin method of approximation, irreducible and mixed forms; Chapter 3 - Solution of nonlinear algebraic equations; Chapter 4 - Inelastic and nonlinear materials; Chapter 5 - Geometrically nonlinear problems, finite deformation; Chapter 6 - Material constitution for finite deformation; Chapter 7 - Material constitution using representative volume elements;...
310p giangmacvien 21-06-2024 0 0 Download
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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
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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 3 0 Download
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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
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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 1 0 Download
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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
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Part 2 book "Chemical and biomedical engineering calculations using python" includes content: Regression, nonlinear equations, statistics, numerical differentiation and integration, initial value problems, boundary value problems, partial differential equations, finite element method.
148p muasambanhan08 01-03-2024 3 2 Download
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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
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In this article, the authors use Plaxis 2D software to simulate triaxial testing that shows the behavior of the geogrid reinforced soil structures under the effect of loads. Based on the Mohr - Rankine limit equilibrium conditions, the apparent cohesion generated by the geogrid layers is determined.
11p viengels 25-08-2023 5 3 Download
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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
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Multiscale model reduction approach for a nonlinear equation arising from elasticity - We present a multiscale model reduction framework utilizing generalized multiscale finite element method, for a twodimensional nonlinear equation emerging from strain-limiting elasticity.
5p nhanchienthien 25-07-2023 6 4 Download
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In this article, the nonlinear dynamic modeling and tip control methodology for a single flexible link manipulator are presented. In Lagrange approach, the nonlinear modeling is built based on finite element method (FEM) so that the elastic displacements effects of elements of the whole dynamic system can be included.
5p vispyker 16-11-2022 10 1 Download
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In this article, nonlinear dynamic modeling and investigation into the effects of different driving rules on dynamic behavior of a single flexible link manipulator are presented. Dynamic equations are derived from finite element method based on Lagrange approach.
5p vispyker 16-11-2022 8 2 Download
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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
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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
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The aim of this paper is to validate experimentally a nonlinear model of a kinematically excited hinged-simply supported beam with a spring subjected to one end. An experimental setup configuration enables to test different variants of axial boundary conditions: first a typical simply supported beam (no spring), and next two different spring systems.
8p guernsey 28-12-2021 8 0 Download
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This paper presentsa3D finite element modeling of the flexural behaviorof ultrahigh-performanceconcrete (UHPC).A four-point flexural teston a UHPCprestressed T girder is considered. The flexuralstrength and cracks pattern of girder are addressed. UHPC material is supposed to be homogeneous andisotropic material. It follows a nonlinear fracture model. The results are comparedwith experimentally captured measurementsand qualitatively discussed.
9p sotritu 18-09-2021 14 1 Download
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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 12 2 Download
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In the ultimate limit state design of ship hulls, the safety and economy have the most important position in the whole design of ship structures. In this paper, ultimate strength of ship hull has been calculated by using the finite-element software. The modeling method which is suitable for ultimate strength calculation is gained. At the same time, ultimate loading capacity’s variation of series bulk carriers with length is gained.
7p quenchua10 18-01-2021 14 1 Download
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The present paper presents the evaluation of three-dimensional (3D) stress distributions of shell structures in the large displacement and rotation fields. The proposed geometrical nonlinear model is based on a combination of the Carrera Unified Formulation (CUF) and the Finite Element Method (FEM). Besides, a Newton-Raphson linearization scheme is adopted to compute the geometrical nonlinear equations, which are constrained using the arc-length path-following method.
16p trinhthamhodang9 10-12-2020 15 2 Download