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   Articles with "element formulation" as a keyword



A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations

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recommendations! Published in 2017 at "Computational Mechanics"

DOI: 10.1007/s00466-016-1334-7

Abstract: A simple and unified finite element formulation is presented for superconvergent eigenvalue computation of wave equations ranging from 1D to 3D. In this framework, a general method based upon the so called $$\alpha $$α mass… read more here.

Keywords: finite element; order; computation; formulation ... See more keywords

Heat transfer model and finite element formulation for simulation of selective laser melting

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recommendations! Published in 2018 at "Computational Mechanics"

DOI: 10.1007/s00466-017-1496-y

Abstract: A novel approach and finite element formulation for modeling the melting, consolidation, and re-solidification process that occurs in selective laser melting additive manufacturing is presented. Two state variables are introduced to track the phase (melt/solid)… read more here.

Keywords: finite element; selective laser; laser; laser melting ... See more keywords
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A modelling framework for coupled hydrogen diffusion and mechanical behaviour of engineering components

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recommendations! Published in 2020 at "Computational Mechanics"

DOI: 10.1007/s00466-020-01847-9

Abstract: In this paper, we propose a finite element formulation for solving coupled mechanical/diffusion problems. In particular, we study hydrogen diffusion in metals and its impact on their mechanical behaviour (i.e. hydrogen embrittlement). The formulation can… read more here.

Keywords: diffusion; hydrogen diffusion; formulation; mechanical behaviour ... See more keywords
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A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation

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recommendations! Published in 2020 at "Acta Mechanica"

DOI: 10.1007/s00707-019-02606-5

Abstract: In this paper, a weak form quadrature element formulation of a geometrically nonlinear shell model is proposed and applied for analysis of laminated composite shell structures. Thickness stretch parameters of the shell are incorporated for… read more here.

Keywords: formulation geometrically; geometrically nonlinear; quadrature element; formulation ... See more keywords

An objective isogeometric mixed finite element formulation for nonlinear elastodynamic beams with incompatible warping strains

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recommendations! Published in 2024 at "Multibody System Dynamics"

DOI: 10.1007/s11044-024-10037-x

Abstract: We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation with extensible directors is used. The extensible directors yield a linear configuration… read more here.

Keywords: formulation; objective isogeometric; finite element; isogeometric mixed ... See more keywords

Analysis of a group finite element formulation

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recommendations! Published in 2017 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.03.008

Abstract: The group finite element formulation is a strategy aimed at speeding the assembly of finite element matrices for time-dependent problems. This process modifies the Galerkin matrix of the problem in a non-consistent way. This may… read more here.

Keywords: finite element; group; element formulation; group finite ... See more keywords

3D finite element formulation for mechanical–electrophysiological coupling in axonopathy

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recommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2018.09.006

Abstract: Abstract Traumatic injuries to the central nervous system (brain and spinal cord) have recently been put under the spotlight because of their devastating socio-economical cost. At the cellular scale, recent research efforts have focussed on… read more here.

Keywords: element formulation; finite element; electrophysiological coupling; formulation mechanical ... See more keywords

Modeling of deformation of battery cells using thick shell element formulation

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recommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2020.112840

Abstract: Abstract We describe a new approach for modeling nonlinear deformation and stress distribution of battery cells using a new thick shell finite element formulation with a through-thickness calculation of stresses and strains that satisfy equilibrium… read more here.

Keywords: battery cells; formulation; cells using; deformation ... See more keywords

A finite element formulation for thermally induced vibrations of functionally graded material sandwich plates and shell panels

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recommendations! Published in 2017 at "Composite Structures"

DOI: 10.1016/j.compstruct.2016.10.040

Abstract: Abstract A finite element formulation based on a higher-order layerwise theory is presented for the first time to investigate thermally induced vibrations of functionally graded material (FGM) sandwich plates and shell panels. The properties of… read more here.

Keywords: finite element; sandwich plates; shell panels; plates shell ... See more keywords

A multi-domain direct boundary element formulation for particulate flow in microchannels

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recommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2021.07.012

Abstract: Abstract In the present study, a multi-domain boundary element formulation is developed for high surface-area-to-volume ratio problems (i.e. particulate flow in high aspect ratio microfluidic channels, in a porous medium or in microfluidic devices with… read more here.

Keywords: particulate flow; formulation; element formulation; multi domain ... See more keywords

A new finite element formulation for viscoelastic flows: Circumventing simultaneously the LBB condition and the high-Weissenberg number problem

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recommendations! Published in 2019 at "Journal of Non-Newtonian Fluid Mechanics"

DOI: 10.1016/j.jnnfm.2019.04.003

Abstract: Abstract In this paper, we propose a new, fully consistent and highly stable finite element formulation for the simulation of viscoelastic flows. In our method, we have implemented equal order interpolants for all variables and… read more here.

Keywords: weissenberg number; element formulation; finite element; element ... See more keywords