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Article
Publication date: 5 March 2018

A refined analytical model for studying the effect of the relative density on the homogenised elastic constants of a honeycomb cell structure

Nour El-houda Daoudi, El-haddi Harkati, Djamel Boutagouga and Messaoud Louafi

The purpose of this paper is to study the effect of the relative density and geometric parameters on the homogenised in-plane elasticity modulus of a cellular honeycomb…

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Abstract

Purpose

The purpose of this paper is to study the effect of the relative density and geometric parameters on the homogenised in-plane elasticity modulus of a cellular honeycomb structure using analytical and numerical approaches.

Design/methodology/approach

In this work, the mechanical behaviour of a new design of the honeycomb is analysed through a refined analytical model that is developed based on the energy theorems by considering the shearing and stretching effects in addition to bending.

Findings

By taking into account the various deformation mechanisms (MNT), the obtained results show that the values of elasticity modulus are the same for low relative densities, but the difference becomes remarkable for higher densities. Moreover, it is difficult to judge the effect of the relative density and anisotropy of the cellular structure on the values of the homogenised elasticity modulus without considering all the three deformation mechanisms in the analytical model. It is shown that conventional models overestimate the elasticity modulus, especially for high relative densities.

Originality/value

In this paper, a refined model that takes into account the three deformation mechanisms (MNT) is developed to predict the in-plane elasticity modulus of a honeycomb cellular material. It is shown that analytical models that describe the anisotropic behaviour of honeycomb cells can be improved by considering the three deformation mechanisms, which are bending, stretching, and shearing deformations.

Details

Multidiscipline Modeling in Materials and Structures, vol. 14 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/MMMS-01-2017-0005
ISSN: 1573-6105

Keywords

  • Cellular material
  • Homogenised elasticity modulus
  • Honeycomb
  • Refined analytical model
  • Relative density

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Article
Publication date: 1 April 1984

Large deflection formulations of a simple beam element including shear deformations

Lothar Haefner and Kaspar J. Willam

A simple beam element is developed for the solution of large deflection problems. The total Lagrangian formulation is based on the kinematic relations proposed by Reissner…

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Abstract

A simple beam element is developed for the solution of large deflection problems. The total Lagrangian formulation is based on the kinematic relations proposed by Reissner for finite rotations and stretching as well as shearing of plane beams. The motion is discretized by linear expansions of the global displacement components and the cross‐sectional rotation in two‐dimensional Euclidean space yielding a simple beam element with three degrees of freedom at the two nodes. The shear locking is reduced by selective integration in order to eliminate the spurious shear constraint similar to interdependent variable interpolation. The large rotation formulation is compared with two forms of moderate rotation theories which have been used in the past to develop the geometric stiffness properties for linear stability analysis of the so‐called Mindlin plate elements. The predictive value of different geometric stiffness approximations is assessed with several examples which range from the static and kinetic stability analysis of the classical Euler‐column to the large deflection problem of a clamped beam.

Details

Engineering Computations, vol. 1 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/eb023592
ISSN: 0264-4401

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Article
Publication date: 8 January 2018

Modelling the influence of velocity on wet friction-element friction in clutches

Yanzhong Wang, Chao Guo, Yuan Li and Guoxing Li

This study aims to establish a friction coefficient model relative to the rotation speed of a wet clutch engagement, which can predict friction coefficient under different…

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Abstract

Purpose

This study aims to establish a friction coefficient model relative to the rotation speed of a wet clutch engagement, which can predict friction coefficient under different stages of slipping velocity and different load pressures. In particular, the model has been improved by accounting the speed effect for the perdition of wet friction-element boundary friction, which is significant for understanding the friction mechanisms and for supporting the development of more efficient and related products.

Design/methodology/approach

This research investigated the mechanism of wet friction in a wet clutch engagement. A mixed friction model is established based on the asperity model and Newton’s law of viscosity. To obtain a friction coefficient computed by the model, the normal load shared by both asperities and lubrication fluid needs to be determined. Therefore, rough surface contact mechanism is analysed; a surface topography model is established; and surface parameters are obtained by means of surface topography measurement and reconstruction. Finally, verification of the mixed friction model is achieved.

Findings

Friction will be generated by both the asperity contact and the lubrication film shear relative to the rotation speed. And, the higher the relative speed, the larger the shearing power of lubrication film. It is caused by decrease in contact area of asperity. Surface morphology of a sintered bronze friction disk was obtained by a Laser-Micro-Test. The predicted results by the established model show that the total friction coefficient slightly reduced and then increased suddenly with speed. The surface topography model is responsible for the nonlinear behaviour of the asperity friction. Results of the simulation model are in agreement with those of the wet clutch engagement experiments.

Originality/value

This research is original and it is supported by the national defence project. The wet friction element which is applied on tracked vehicles is analysed for the first time. Through the model, the trend of the friction coefficient can be more accurately predicted. The problem of the wet friction plate modelling difficult is solved by using the mixed friction model.

Details

Industrial Lubrication and Tribology, vol. 70 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/ILT-09-2016-0223
ISSN: 0036-8792

Keywords

  • Friction mechanism
  • Mixed friction model
  • Surface micro morphology
  • Wet friction elements

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Article
Publication date: 16 June 2010

A quasi‐Bingham model for predicting electrorheological fluid behaviour

Yulan Sun, Marc Thomas and Jacques Masounave

The purpose of this paper is to present experimental research on the behaviour of a new electrorheological fluid (ETSERF).

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Abstract

Purpose

The purpose of this paper is to present experimental research on the behaviour of a new electrorheological fluid (ETSERF).

Design/methodology/approach

The ETSERF is a suspension based on diatomite powders dispersed in silicon oil with a surfactant. A design of experiments is conducted to investigate the effects of electric field strength, particle concentration, surfactant percentage, particle size and shear rate on the efficiency of ETSERFs. The influence of the interactions on shear stresses is analyzed by varying all the combinations of the independent variables. The dielectric properties of the ETSERF are investigated in order to explain the interactions between these independent variables. Furthermore, a quantitative relationship between the dynamic shear stresses and the independent variables is developed.

Findings

The relationship provides a very useful explanation for the contributions of each independent variable to the viscosity and yield stress.

Originality/value

A new empirical model is proposed to explain the rheological behaviour of the ER fluids with a shear‐thinning behaviour.

Details

Multidiscipline Modeling in Materials and Structures, vol. 6 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/15736101011055301
ISSN: 1573-6105

Keywords

  • Fluids
  • Experimental design
  • Dielectric properties
  • Rheology
  • Shearing

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Article
Publication date: 7 November 2016

Finite element analysis of flexible functionally graded beams with variable Poisson’s ratio

João Paulo Pascon

The purpose of this paper is to deal with large deformation analysis of plane beams composed of functionally graded (FG) elastic material with a variable Poisson’s ratio.

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Abstract

Purpose

The purpose of this paper is to deal with large deformation analysis of plane beams composed of functionally graded (FG) elastic material with a variable Poisson’s ratio.

Design/methodology/approach

The material is assumed to be linear elastic, with a Poisson’s ratio varying according to a power law along the thickness direction. The finite element used is a plane beam of any-order of approximation along the axis, and with four transverse enrichment schemes, which can describe constant, linear, quadratic and cubic variation of the strain along the thickness direction. Regarding the constitutive law, five materials are adopted: two homogeneous limiting cases, and three intermediate FG cases. The effect of both finite element kinematics and distribution of Poisson’s ratio on the mechanical response of a cantilever is investigated.

Findings

In accordance with the scientific literature, the second scheme, in which the transverse strain is linearly variable, is sufficient for homogeneous long (or thin) beams under bending. However, for FG short (or moderate thick) beams, the third scheme, in which the transverse strain variation is quadratic, is needed for a reliable strain or stress distribution.

Originality/value

In the scientific literature, there are several studies regarding nonlinear analysis of functionally graded materials (FGMs) via finite elements, analysis of FGMs with constant Poisson’s ratio, and geometrically linear problems with gradually variable Poisson’s ratio. However, very few deal with finite element analysis of flexible beams with gradually variable Poisson’s ratio. In the present study, a reliable formulation for such beams is presented.

Details

Engineering Computations, vol. 33 no. 8
Type: Research Article
DOI: https://doi.org/10.1108/EC-08-2015-0225
ISSN: 0264-4401

Keywords

  • Functionally graded material
  • Geometrically nonlinear analysis
  • Strain enrichment across the thickness
  • Two-dimensional beam finite element
  • Variable Poisson’s ratio

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Article
Publication date: 1 January 1986

VISCOSITY CLASSIFICATION: with special reference to SAE J300

T.W. Bates

A brief review of the conditions to which a crankcase oil is subjected during engine operation is given prior to a consideration of the relevance of the current SAE J300…

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Abstract

A brief review of the conditions to which a crankcase oil is subjected during engine operation is given prior to a consideration of the relevance of the current SAE J300 viscosity classification to the needs of today's engines. Regarding the high‐temperature part, it is concluded that the current classification based on the low‐shear‐rate kinematic viscosity at 100°C provides a useful guide to oil consumption and a convenient means of evaluating used oils; it is, however, unsatisfactory as a guide to the fuel consumption and journal‐bearing performance of polymer‐containing oils. Whilst modification of J300 to include high‐shear‐rate viscosity limits could provide a classification relevant to the fuel consumption of such oils, knowledge of the complicated effects of both elasticity and viscosity on load‐bearing capacity, although increasing, is currently incomplete and it will be some years yet before J300 could be usefully modified to provide a guide to the rheological performance of oils in automotive journal bearings.

Details

Industrial Lubrication and Tribology, vol. 38 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/eb053318
ISSN: 0036-8792

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Article
Publication date: 1 June 1997

Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

Jaroslav Mackerle

Gives a bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the…

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Abstract

Gives a bibliographical review of the finite element methods (FEMs) applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view. The range of applications of FEMs in this area is wide and cannot be presented in a single paper; therefore aims to give the reader an encyclopaedic view on the subject. The bibliography at the end of the paper contains 2,025 references to papers, conference proceedings and theses/dissertations dealing with the analysis of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that were published in 1992‐1995.

Details

Engineering Computations, vol. 14 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/02644409710178494
ISSN: 0264-4401

Keywords

  • Bibliographies
  • Finite element method

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Article
Publication date: 10 June 2019

Investigation on cohesive zone model of bolted joint for water conveyance tunnel lining

Bingqi Li, Zhenyu Zhang, Xiaogang Wang and Xiaonan Liu

The behavior of joints has a significant effect on the stability of water conveyance tunnel. The purpose of this paper is to study the contact and friction at the joint of…

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Abstract

Purpose

The behavior of joints has a significant effect on the stability of water conveyance tunnel. The purpose of this paper is to study the contact and friction at the joint of the tunneling segment lining and establish its contact friction model. At the same time, the stress and deformation characteristics at the joint of the segment under hydrostatic load are analyzed.

Design/methodology/approach

In this study, the contact and friction in a bolted joint are examined using shear testing. The feasibility of the proposed model is verified by a numerical simulation of tests and a theoretical analysis. Accordingly, the effect of joints on the lining is explored under internal hydrostatic loading.

Findings

The results show that the openings of tunnel segments in joints gradually expand from the positions of the inner and outer edges to the location of the bolt. Moreover, the stress concentration zone is formed at the bolt. Under hydraulic loading, the opening displacement at the joint increases as the water pressure increases; nevertheless, it does not exceed engineering requirements. When the water pressure of the tunnel lining joint reaches 0.5 MPa, the opening of the joint slowly increases. When the water pressure exceeds 0.7 MPa, the opening of the joint rapidly and significantly increases.

Originality/value

Contact and friction in a bolted joint were examined using shear testing. A cohesive zone model of bolted joints was proposed based on test results. The influence of joint behavior on the stability of water conveyance tunnel was studied.

Details

Engineering Computations, vol. 36 no. 5
Type: Research Article
DOI: https://doi.org/10.1108/EC-07-2018-0310
ISSN: 0264-4401

Keywords

  • Cohesive zone model
  • Bolted joint
  • Friction contact
  • Opening displacement
  • Water-conveyance tunnel

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Article
Publication date: 14 August 2017

Effect of local instability on fire response of steel beams

Venkatesh Kodur and Mohannad Z. Naser

This purpose of this paper is to quantify the effect of local instability arising from high shear loading on response of steel girders subjected to fire conditions.

Open Access
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Abstract

Purpose

This purpose of this paper is to quantify the effect of local instability arising from high shear loading on response of steel girders subjected to fire conditions.

Design/methodology/approach

A three-dimensional nonlinear finite element model able to evaluate behavior of fire-exposed steel girders is developed. This model, is capable of predicting fire response of steel girders taking into consideration flexural, shear and deflection limit states.

Findings

Results obtained from numerical studies show that shear capacity can degrade at a higher pace than flexural capacity under certain loading scenarios, and hence, failure can result from shear effects prior to attaining failure in flexural mode.

Originality/value

The developed model is unique and provides valuable insight (and information) to the fire response of typical hot-rolled steel girder subjected to high shear loading.

Details

PSU Research Review, vol. 1 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/PRR-05-2017-0025
ISSN: 2399-1747

Keywords

  • Civil engineering
  • Structural engineering
  • Structural fire engineering and diagnostics

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Article
Publication date: 6 February 2017

On the effect of reduced boundary elements in steel shear walls

Sayed Behzad Talaeitaba, Hamed Esmaeili and Mohammad Ebrahim Torki

Steel shear walls have recently received exclusive remark. Respective of most building code requirements, design of shear wall vertical boundary elements (VBEs) and local…

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Abstract

Purpose

Steel shear walls have recently received exclusive remark. Respective of most building code requirements, design of shear wall vertical boundary elements (VBEs) and local boundary elements (LBEs) against web yielding triggers exaggerated stiffness. The extent of stiffness reduction effects in boundary elements thus calls for more exhaustive investigation. The paper aims to discuss these issues.

Design/methodology/approach

To this end, FEM-based push-over curves demonstrating base shear vs roof displacement, and von Mises plastic strains were scrutinized in half-scale and full-size models. Analyses were in perfect conformity with experimental data.

Findings

With reference to the AISC requirement, up to 35 percent decrease in the VBE moments of inertia could be imparted in higher levels without the ultimate load capacity nor displacement to failure being reduced. Also considered was open shear walls with reduced or minimum-design LBEs, the latter being used in continuous or abridged form. LBEs could be used with a moment of inertia 80 percent smaller than required if only used in a continuous form. The effect due to opening geometry was negligible on loading capacity but distinguished on the post-yielding buckling-induced softening.

Practical implications

Light-weight design of low- to medium-level steel structures against earthquake loads.

Originality/value

With respect to continuous walls, the results are more comprehensive than those existing in the literature in that they combine the effects due to scale and orientation (horizontal or vertical) of boundary elements. The results for open shear walls are not only comprehensive but also original in a sense that they account for the influences induced by the opening type (door or window), orientation (horizontal or vertical), and design (full-length or abridged) of boundary elements, in reduced form, on the lateral stiffness of the frame.

Details

International Journal of Structural Integrity, vol. 8 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/IJSI-10-2015-0045
ISSN: 1757-9864

Keywords

  • ABAQUS
  • Nonlinear FEM analysis
  • PEEQ
  • Steel shear walls
  • Vertical/local boundary elements

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