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A FEM procedure based on positions and unconstrained vectors applied to non-linear dynamic of 3D frames

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TLDR
In this paper, an alternative three-dimensional geometric non-linear frame formulation based on generalized unconstrained vector and positions to solve structures and mechanisms subjected to dynamic loading is presented.
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This article is published in Finite Elements in Analysis and Design.The article was published on 2011-04-01. It has received 28 citations till now. The article focuses on the topics: Revolute joint & Image warping.

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Global structural optimization considering expected consequences of failure and using ANN surrogates

TL;DR: In this paper, the authors combine nonlinear FE analysis, structural reliability analysis, Artificial Neural Networks (used as surrogates for objective function) and a hybrid Particle Swarm Optimization algorithm, which efficiently solves for the global optimum.
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Continuous inter-laminar stresses for regular and inverse geometrically non linear dynamic and static analyses of laminated plates and shells

TL;DR: In this article, an orthotropic laminated finite element with continuous stress distribution along transverse direction is applied to geometrically non linear analysis of static and dynamic plates and shells.
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A total-Lagrangian position-based FEM applied to physical and geometrical nonlinear dynamics of plane frames including semi-rigid connections and progressive collapse

TL;DR: In this article, the authors apply the total Lagrangian formulation based on positions to develop a strategy for the physical and geometrical nonlinear analysis of plane structures and mechanisms.
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Fully adherent fiber-matrix FEM formulation for geometrically nonlinear 2D solid analysis

TL;DR: In this paper, an accurate finite element formulation for the analysis of two-dimensional reinforced elastic solids that develop both small and large deformations is presented, which has four important features: (i) an efficient strategy for modeling fibers immersed in a continuum without introducing new degrees of freedom; (ii) no coincidence among fiber and continuum discretization nodes; (iii) the use of curved fiber elements and isoparametric solid elements of any order; and (iv) a fully satisfied adhesion condition between fibers and matrices.
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A geometrically nonlinear FEM formulation for the analysis of fiber reinforced laminated plates and shells

TL;DR: In this article, an alternative finite element (FE) formulation for the analysis of fiber reinforced laminated plates and shells developing small and large deformations is presented, which does not increase the number of degrees of freedom of the analyzed shell and do not require the necessity of matching nodes in the discretization of fibers and matrix.
References
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Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book

Non-Linear Elastic Deformations

Ray W. Ogden
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.
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Large displacement analysis of three‐dimensional beam structures

TL;DR: In this article, an updated Lagrangian and a total Lagrangians formulation of a three-dimensional beam element are presented for large displacement and large rotation analysis, and it is shown that the two formulations yield identical element stiffness matrices and nodal point force vectors.
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Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems

TL;DR: Analytically, it is demonstrated analytically that the classical Newmark family as well as related integration algorithms are variational in the sense of the Veselov formulation of discrete mechanics.
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