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Prediction of the nonlinear dynamic response of structural components using finite elements

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TLDR
In this paper, the authors describe the use of a lumped-explicit scheme for the time integration of the equations of motion combined with a direct nodal force evaluation in terms of stresses, which completely eliminates the usual limitations arising from bandwidth or problem size.
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This article is published in Nuclear Engineering and Design.The article was published on 1976-04-01. It has received 7 citations till now. The article focuses on the topics: Mixed finite element method & Finite element method.

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Citations
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Journal ArticleDOI

Application of containment codes to LMFBRs in the United States

TL;DR: In this paper, the authors describe the application of containment codes to predict the response of the fast reactor containment and the primary piping loops to HCDAs and compare their predictions with experiments.
Journal ArticleDOI

Transient large strain analysis of plane and axisymmetric structures by means of biquadratic finite elements

TL;DR: In this paper, a finite element procedure is presented for refined transient analysis of two-dimensional (plane or axisymmetric) nonlinear structures involving arbitrarily large displacements, rotations and strains.
Journal ArticleDOI

Transient deformation of LMFBR cores due to local failure: Experimental and theoretical investigation

TL;DR: In this paper, an effort to predict the mechanical core deformation caused by local failure within an LMFBR core is described, which is intended to cover all the potential core damage possibilities currently under discussion and analysis.
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Numerical simulation of high-velocity dynamics of the nonlinear deformation and failure of damaged medium

TL;DR: In this paper, a mathematical model of micro-plasticity is developed for the description of nonlinear, depending on the time and deformation rate behavior of polycrystalline material-metals with micro damages-initial and appearing in the process of shock waves propagation.
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Limit states in damaged nonlinearly deformable media under impact loading

TL;DR: In this article, a generalized model of the nonlinear interconnected deformation and fracture of damageable polycrystalline media under high-speed impacts is presented, and the proposed model is substantiated and nonlinear wave processes in a shell of a complex form under impact collision with an obstacle are studied.
References
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Book

The finite element method in engineering science

TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
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Theoretical-experimental correlation of large dynamic and permanent deformatioons of impulsively-loaded simple structures

TL;DR: In this paper, a general numerical method for analyzing large dynamic two-dimensional deformations of simple structures was extended and evaluated through comparisons of predictions with experimental dynamic response and permanent deformation data from explosively-loaded beams and circular rings.
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Elastic-plastic dynamic analysis of axisymmetric solids

TL;DR: In this paper, an application of isoparametric elements for the elastic-plastic dynamic analysis of shells of revolution is presented, which can analyze axisymmetric structures subjected to axially symmetric loading as well as plane stress problems.
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Nonlinear dynamics of solids by the finite element method

TL;DR: In this article, a displacement-type finite element method is applied to reduce the governing partial differential equations to a set of simultaneous nonlinear ordinary differential equations of motion of a lumped mass system connected by three-dimensional elements.
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