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Article
Publication date: 1 August 1997

On elasto‐plastic finite element analysis of some frictional contact problems with large sliding

Wenhua Ling and Henryk K. Stolarski

Some frictional contact problems are characterized by significant variations in the location and size of the contact area occurring in the process of deformation. When…

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Abstract

Some frictional contact problems are characterized by significant variations in the location and size of the contact area occurring in the process of deformation. When this feature is combined with strongly non‐linear, path‐dependent material behaviour, difficulties with convergence of the typically used iterative processes can be encountered. Demonstrates this by analysis of press‐fit connection, a typical problem in which both of those characteristics can be present. Offers an explanation as to the possible source of those difficulties. Suggests in support of this explanation, two simple modifications of the usual iterative schemes. In spite of their simplicity, they are found to be more robust than those usual schemes which are normally used in numerical analysis of similar problems.

Details

Engineering Computations, vol. 14 no. 5
Type: Research Article
DOI: https://doi.org/10.1108/02644409710170410
ISSN: 0264-4401

Keywords

  • Elasto‐plastic behaviour
  • Finite element analysis
  • Friction

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Article
Publication date: 1 August 2003

A computational model for generalized inelastic materials at finite strains combining elastic, viscoelastic and plastic material behaviour

D. Peric´ and W. Dettmer

This work is concerned with the computational modelling of non‐linear solid material behaviour in the finite strain regime. Based on the recent computational formulations…

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Abstract

This work is concerned with the computational modelling of non‐linear solid material behaviour in the finite strain regime. Based on the recent computational formulations for modelling of inelastic material behaviour, a generalized material model is presented for inelastic materials incorporating classical elastic, viscoelastic, plastic and viscoplastic material description, all operating in the finite strain regime. The underlying rheological model corresponds to the combined action of several rheological components, such as Hooke, Maxwell and Prandtl elements, arranged in parallel. This work summarizes the theoretical basis of the material model and presents the computational treatment in the framework of a finite element solution procedure. Numerical examples are provided to illustrate the scope of the described computational strategy.

Details

Engineering Computations, vol. 20 no. 5/6
Type: Research Article
DOI: https://doi.org/10.1108/02644400310488862
ISSN: 0264-4401

Keywords

  • Finite element method
  • Strain
  • Elasticity
  • Viscoelasticity
  • Elastoplasticity

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Article
Publication date: 11 October 2011

A comparative study of displacement and mixed‐based corotational finite element formulations for elasto‐plastic three‐dimensional beam analysis

Rabe Alsafadie, Mohammed Hjiaj, Hugues Somja and Jean‐Marc Battini

The purpose of this paper is to present eight local elasto‐plastic beam element formulations incorporated into the corotational framework for two‐noded three‐dimensional…

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Abstract

Purpose

The purpose of this paper is to present eight local elasto‐plastic beam element formulations incorporated into the corotational framework for two‐noded three‐dimensional beams. These formulations capture the warping torsional effects of open cross‐sections and are suitable for the analysis of the nonlinear buckling and post‐buckling of thin‐walled frames with generic cross‐sections. The paper highlights the similarities and discrepancies between the different local element formulations. The primary goal of this study is to compare all the local element formulations in terms of accuracy, efficiency and CPU‐running time.

Design/methodology/approach

The definition of the corotational framework for a two‐noded three‐dimensional beam element is presented, based upon the works of Battini .The definitions of the local element kinematics and displacements shape functions are developed based on both Timoshenko and Bernoulli assumptions, and considering low‐order as well as higher‐order terms in the second‐order approximation of the Green‐Lagrange strains. Element forces interpolations and generalized stress resultant vectors are then presented for both mixed‐based Timoshenko and Bernoulli formulations. Subsequently, the local internal force vector and tangent stiffness matrix are derived using the principle of virtual work for displacement‐based elements and the two‐field Hellinger‐Reissner assumed stress variational principle for mixed‐based formulations, respectively. A full comparison and assessment of the different local element models are performed by means of several numerical examples.

Findings

In this study, it is shown that the higher order elements are more accurate than the low‐order ones, and that the use of the higher order mixed‐based Bernoulli element seems to require the least number of FEs to accurately model the structural behavior, and therefore allows some reduction of the CPU time compared to the other converged solutions; where a larger number of elements are needed to efficiently discretize the structure.

Originality/value

The paper reports computation times for each model in order to assess their relative efficiency. The effect of the numbers of Gauss points along the element length and within the cross‐section are also investigated.

Details

Engineering Computations, vol. 28 no. 7
Type: Research Article
DOI: https://doi.org/10.1108/02644401111165149
ISSN: 0264-4401

Keywords

  • Three‐dimensional corotational formulation
  • Displacement‐based finite element
  • Mixed‐based finite element
  • Elasto‐plastic material behavior
  • Bernoulli bending theory
  • Timoshenko bending theory
  • Vlassov and Benscoter torsion theories
  • Beams
  • Structural analysis

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Article
Publication date: 1 May 2002

Using finite strain 3D‐material models in beam and shell elements

Sven Klinkel and Sanjay Govindjee

In this paper an interface is derived between arbitrary three‐dimensional material laws and finite elements which include special stress conditions. The mechanical models…

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Abstract

In this paper an interface is derived between arbitrary three‐dimensional material laws and finite elements which include special stress conditions. The mechanical models of beams and shells are usually based upon zero‐stress conditions. This requires a material law respecting the stress condition for each finite element formulation. Complicated materials, e.g. finite strain models are often described in the 3D‐continuum. Considering the zero‐stress condition requires a reformulation of these material laws, which is often complicated. The subject of this paper is to incorporate physically non‐linear 3D‐material laws in beam and shell elements. To this effect a local algorithm will be developed to condense an arbitrary 3D‐material law with respect to the zero‐stress condition. The algorithm satisfies the stress condition at each integration point on the element level.

Details

Engineering Computations, vol. 19 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/02644400210423918
ISSN: 0264-4401

Keywords

  • Plane stress analysis
  • Finite elements
  • Beams

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Article
Publication date: 9 March 2010

Mechanical characterisation of PA‐Al2O3 composites obtained by selective laser sintering

G. Berti, L. D'Angelo, A. Gatto and L. Iuliano

This paper aims to develop a deep characterization of PA‐Al2O3 composite for selective laser sintering (SLS). Tension test is used to determine main mechanical…

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Abstract

Purpose

This paper aims to develop a deep characterization of PA‐Al2O3 composite for selective laser sintering (SLS). Tension test is used to determine main mechanical characteristics of the material, both at room temperature and at 100°C. An accurate knowledge of the parts' performances as a function of the building orientation, is fundamental to understand the manufacturing anisotropy. Particular attention is dedicated to the joining and failure micromechanisms ruling the macroscopic characteristics, on the basis of the knowledge developed by the authors on SLS of both metal and polymeric powders.

Design/methodology/approach

Specimens have been built with different orientations in regard to powder deposition plane and laser path. Tension test is used to determine main mechanical characteristics of the material, both at room temperature and at 100°C. A particular attention is dedicated to the joining and failure micromechanisms ruling the macroscopic characteristics of the composite material by means of optical and scanning electron microscope (SEM) observations.

Findings

The sintered material shows an evident anisotropy in the growth direction (z‐axis), as well as it seems to be not sensitive to the sintering direction at room temperature (x, y, xy). At 100°C the effect of sintering direction becomes more evident and a different behaviour results considering x‐ and y‐direction, respectively. Accurate SEM characterization has been carried out to understand the effect of the manufacturing anisotropy on the mechanical performances, both in terms of additive construction and laser sintering strategy. The observation of the rupture surfaces showed that cracks originate from the external surface and propagate initially by the ductile failure of the polymeric matrix, up to the sudden fracture of the whole section.

Originality/value

Previous studies concerning polyamide charged parts confirm the importance of fabrication parameters and geometry on the final performances, due to anisotropic heat supply and transfer phenomena. The originality of the paper is in the investigation on both at room temperature and at 100°C. Moreover, a model is proposed where it is hypothesized that the layer‐by‐layer construction is only marginally responsible of the anisotropic behaviour of the material.

Details

Rapid Prototyping Journal, vol. 16 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/13552541011025843
ISSN: 1355-2546

Keywords

  • Rapid prototypes
  • Lasers
  • Sintering
  • Polyamides
  • Mechanical properties of materials
  • Composite materials

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Article
Publication date: 1 May 2003

Finite strain endochronic plasticity with reference to metal tube under torsion

A.R. Khoei, A. Bakhshiani and M. Mofid

In this paper, a new rate type endochronic constitutive model is introduced to describe deformations in the finite strain range. A new material dependent objective rate of…

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Abstract

In this paper, a new rate type endochronic constitutive model is introduced to describe deformations in the finite strain range. A new material dependent objective rate of Cauchy stress is suggested based on the general form of spin tensors, defining objective stress rates. The endochronic constitutive equations are extended using the concept of corotational stress rates and additive decomposition of deformation rate. The constitutive relations are specialized for thin‐walled tubes under torsion and a procedure for solving the ordinary differential equations for cases of simple and pure torsion is developed. The axial effects for various materials, subjected to simple and pure torsion, are simulated and compared with experimental data. The results clearly indicate that the new combined rate endochronic model can be effectively used to describe the behavior of material in the finite strain range.

Details

Engineering Computations, vol. 20 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/02644400310467199
ISSN: 0264-4401

Keywords

  • Deformation
  • Stress

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Article
Publication date: 31 January 2020

Low-cycle fatigue behavior and corrosion mechanism of pre-corroded 2A70-T6 aluminum alloy

Hui Li, Lei Fu, Li Lin, Yu Chen, YunRong Luo, XiuLan Li, WenLing Xie and Qingyuan Wang

In summary, it can be found that the current research on the simulation of natural atmospheric dry–wet alternating accelerated corrosion mainly focused on the study of…

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Abstract

Purpose

In summary, it can be found that the current research on the simulation of natural atmospheric dry–wet alternating accelerated corrosion mainly focused on the study of electrochemical corrosion process and the study of corrosion rate; the micro-pre-corrosion mechanism of materials in this environment, especially for materials. The specific effects of fatigue and fracture performance still lack detailed research. Accordingly, this study aims to more realistically simulate the effect of natural atmospheric corrosion environment on the corrosion resistance and fatigue performance of aircraft skin.

Design/methodology/approach

In this study, the uniaxial strain control method was used to test the fatigue performance of pre-corrosion samples under simulated natural atmospheric corrosion using MTS809 tensile-torque composite fatigue machine. Scanning electron microscopy, X-ray energy spectrum analysis, atomic force microscopy and X-ray diffraction analysis were used. Fatigue fracture, corrosion morphology and corrosion products were analyzed.

Findings

The results show that the deep corrosion pit caused by pre-corrosion environment leads to multi-source initiation of crack; the fatigue life of pre-corroded sample decreases by about one-half, chloride ion invades the material and promotes intergranular corrosion; life prediction results show that the natural atmospheric corrosive environment mainly affects the plastic term in the Manson–Coffin formula resulting in a decrease in fatigue life.

Originality/value

Innovative experimental schemes and materials are used and the test temperature and relative humidity are strictly controlled. The corrosion failure mechanism of 2A70-T6 aluminum alloy under alternating wet and dry accelerated corrosion environment and its influence on fatigue behavior were obtained.

Details

Anti-Corrosion Methods and Materials, vol. 67 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/ACMM-07-2019-2161
ISSN: 0003-5599

Keywords

  • Corrosion mechanism
  • 2A70 aluminum alloy
  • Low-cycle fatigue behaviour
  • Pre-corrosion

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Article
Publication date: 27 April 2020

Effects of external hydrogen on hydrogen-assisted crack initiation in type 304 stainless steel

Xingyang Chen, Linlin Ma, Haoping Xie, Fengting Zhao, Yufeng Ye and Lin Zhang

The purpose of this paper is to present a crack initiation mechanism of the external hydrogen effect on type 304 stainless steel, as well as on fatigue crack propagation…

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Abstract

Purpose

The purpose of this paper is to present a crack initiation mechanism of the external hydrogen effect on type 304 stainless steel, as well as on fatigue crack propagation in the presence of hydrogen gas.

Design/methodology/approach

The effects of external hydrogen on hydrogen-assisted crack initiation in type 304 stainless steel were discussed by performing fatigue crack growth rate and fatigue life tests in 5 MPa argon and hydrogen.

Findings

Hydrogen can reduce the incubation period of fatigue crack initiation of smooth fatigue specimens and greatly promote the fatigue crack growth rate during the subsequent fatigue cycle. During the fatigue cycle, hydrogen invades into matrix through the intrusion and extrusion and segregates at the boundaries of α′ martensite and austenite. As the fatigue cycle increased, hydrogen-induced cracks would initiate along the slip bands. The crack initiation progress would greatly accelerate in the presence of hydrogen.

Originality/value

To the best of the authors’ knowledge, this paper is an original work carried out by the authors on the hydrogen environment embrittlement of type 304 stainless steel. The effects of external hydrogen and argon were compared to provide understanding on the hydrogen-assisted crack initiation behaviors during cycle loading.

Details

Anti-Corrosion Methods and Materials, vol. 67 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/ACMM-02-2020-2258
ISSN: 0003-5599

Keywords

  • Fatigue crack growth
  • Stainless steel
  • Crack initiation
  • Hydrogen environment embrittlement

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Article
Publication date: 9 August 2011

Dynamic analysis of an elasto‐plastic sandwich subjected to low velocity impact

Mondher Wali, Moez Abdennadher, Tahar Fakhfakh and Mohamed Haddar

The purpose of this paper is to analyse the dynamic behaviour of an elasto‐plastic sandwich subjected to low velocity impact.

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Abstract

Purpose

The purpose of this paper is to analyse the dynamic behaviour of an elasto‐plastic sandwich subjected to low velocity impact.

Design/methodology/approach

A numerical model is developed with the assumption that the plastic deformation is confined under the contact area. The structure is analyzed using the in‐house finite element code with an appropriate contact law. During the impact progression, two phases (elastic and plastic) related to the impact intensity are considered in the dynamic model. The proportional viscous damping is incorporated in the model. An elasto‐plastic impact algorithm is established to determine the impact force, the sandwich structure displacement and indentation.

Findings

The numerical results are validated by experimental dropping weight impact tests. The influences of the impactor radius, the core material variation and the impactor initial velocity on the dynamic behaviour of the impacted structure are studied.

Originality/value

In order to study the low velocity impact problems by considering the caused plastic deformations, a simple numerical elasto‐plastic impact model of sandwich structure is proposed.

Details

Multidiscipline Modeling in Materials and Structures, vol. 7 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/15736101111157118
ISSN: 1573-6105

Keywords

  • Impact force
  • Indentation
  • Elasto‐plastic sandwich
  • Low velocity impact
  • Deformation
  • Numerical analysis
  • Mechanical shock

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Article
Publication date: 26 January 2021

Optimum design of composite structures with ply drop-offs using response surface methodology

Camila Aparecida Diniz, Yohan Méndez, Fabrício Alves de Almeida, Sebastião Simões da Cunha Jr and G.F. Gomes

Many studies only take into account the ply stacking sequence as the design variable to determine the optimal ply drop-off location; however, it is necessary to optimize…

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Abstract

Purpose

Many studies only take into account the ply stacking sequence as the design variable to determine the optimal ply drop-off location; however, it is necessary to optimize other parameters that have a direct influence on the ply drop-off site such as which plies should be dropped and in which longitudinal direction. That way, the purpose of this study is to find the most significant design variables relative to the drop-off location considering the transversal and longitudinal positions, seeking to achieve the optimal combination of ply drop-off locations that provides excellent performance for the laminate plate.

Design/methodology/approach

This study aims to determine the optimal drop-off location in a laminate plate using the finite element method and an approach statistical with design of experiments (DOE).

Findings

The optimization strategy using DOE revealed to be satisfactory for analyzing laminate structures with ply drop-offs, demonstrating that not all design factors influence the response variability. The failure criterion response variable revealed a poor fit, with an adjusted coefficient of determination lower than 60%, thus demonstrating that the response did not vary with the ply drop-off location. Already the strain and natural frequency response variables presented high significance. Finally, the optimization strategy revealed that the optimal drop-off location that minimizes the strain and maximizes the natural frequency is the ply drop-off located of the end plate.

Originality/value

It was also noted that many researchers prefer evolutionary algorithms for optimizing composite structures with ply drop-offs, being scarce to the literature studies involving optimization strategies using response surface methodology. In addition, many studies only take into account the ply stacking sequence as the design variable to determine the optimal ply drop-off location; however, in this study, the authors investigated other important parameters that have direct influence on the ply drop-off site such as which plies should be dropped and in which longitudinal direction.

Details

Engineering Computations, vol. ahead-of-print no. ahead-of-print
Type: Research Article
DOI: https://doi.org/10.1108/EC-07-2020-0354
ISSN: 0264-4401

Keywords

  • Optimization
  • Failure
  • Composites
  • Response surface methodology
  • Ply drop-off

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