Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact

2021 ◽  
Vol 163 ◽  
pp. 107706
Author(s):  
M.S.H. Al-Furjan ◽  
Ahmad Farrokhian ◽  
S.R. Mahmoud ◽  
Reza Kolahchi
Keyword(s):  
Contact Force ◽  
Conical Shell ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Velocity Impact ◽  
Graphene Platelets

Time Dependent Low Velocity Impact Response of Turbomachinery Blade Made of Porous Exponential FGM

2019 ◽  
Author(s):  
Apurba Das ◽  
Gopal Agarwal ◽  
Kazuaki Inaba ◽  
Amit Karmakar
Keyword(s):  
Contact Force ◽  
Conical Shell ◽  
Impact Response ◽  
Low Velocity Impact ◽  
Integration Scheme ◽  
Low Velocity ◽  
Conical Shells ◽  
Velocity Impact ◽  
Multiple Impact ◽  
The Impact

Abstract This study presents transient dynamic response of porous and non-porous exponential functionally graded (E-FGM) conical shells subjected to low velocity single and multiple impact. Hertzian contact law in modified form considering permanent indentation is used to calculate the impact response parameters. For finite element formulation eight-noded isoparametric shell element having five degrees of freedom per node is used. The dynamic equations for the low velocity impact problems are solved by Newmark’s time integration scheme. Parametric studies in terms of contact force, initial velocity of impactor, impactor displacement and shell displacement for Stainless Steel-Silicon Nitrite porous and non-porous conical shells (idealized as rotating turbo-machinery blade) under low velocity single and multiple impact are analyzed. Twist angle has significant effect on contact force but has marginal effect on contact duration. Contact force for perfect (porosity free) case is higher than that of porous one and the contact forces are found to decrease with higher porosity factor. Even porous FG conical shell is predicting lower contact force and higher shell displacement than that of uneven porous FG conical shell for a given porosity factor.

Analytical analysis of jute–epoxy beams subjected to low-velocity impact loading

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Manar Hamid Jasim ◽  
Ali Mohammad Ali Al-Araji ◽  
Bashar Dheyaa Hussein Al-Kasob ◽  
Mehdi Ranjbar
Keyword(s):  
Contact Force ◽  
Initial Velocity ◽  
Ritz Method ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Content Type ◽  
Velocity Impact ◽  
Simply Supported ◽  
Force Impact ◽  
Fourth Order Method

PurposeIn the article, analytical model of first-order shear deformation (FSDT) beams made of jute–epoxy is presented to study the low-velocity impact response.Design/methodology/approachThe nonlinear Hertz contact law is applied to identify the contact between projectile and beam. The energy method, Lagrange's equations and Ritz method are applied to derive the nonlinear governing equation of the beam and impactor-associated boundary condition. The motion equations are then solved simultaneously by the Runge–Kutta fourth-order method.FindingsAlso, a comparison is performed to validate the model predictions. The contact force and beam indentation histories of the jute–epoxy simply supported beam under spherical impactor with different radius and initial velocity are investigated in detail. It is found that in response to impactor radius increase, the utilization of the contact force law has resulted in a same increasing trend of peak contact force, impact duration and beam indentation, while in response to impactor initial velocity increase, the maximum contact force and beam indentation increase while impact time has vice versa trend.Originality/valueThis paper fulfills an identified need to study how jute–epoxy beam behavior with simply supported boundary conditions under low-velocity impact can be enabled.

Effect of graphene on the methyl methacrylate beam under lateral low-velocity impact

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Raed Salman Saeed Alhusseini ◽  
Ali Sadik Gafer Qanber ◽  
Bashar Dheyaa Hussein Al-Kasob ◽  
Manar Hamid Jasim ◽  
Mehdi Ranjbar
Keyword(s):  
Shear Stress ◽  
Methyl Methacrylate ◽  
Contact Force ◽  
Volume Fraction ◽  
Low Velocity Impact ◽  
Single Layer Graphene ◽  
Lagrange Equations ◽  
Low Velocity ◽  
Content Type ◽  
Velocity Impact

Purpose This paper aims to present the potential of using aligned single-layer graphene sheets to reinforce the methyl methacrylate cantilever beam in low-velocity impact problem. Design/methodology/approach The Halpin–Tsai law is applied to compute the mechanical properties of isotropic polymer beam reinforced by aligned graphene sheet. Using both longitudinal and lateral displacements in composite beam, all components of the stress and strain fields are written. The equations of motion are derived by applying energy method, generalized Lagrange equations and Ritz method. Findings The analytical formulation accuracy is corroborated by comparing the present results with those available in the literature. Numerical examples indicate that the contact duration is decreased with increasing of graphene volume fraction, whereas the values of peak contact force, shear strain and shear stress at peak contact force tend to be vice versa. Also, among the results, shear stress at the peak contact force has the most effect with graphene volume fraction changes. Originality/value This research fulfils an identified need to investigate how graphene-reinforced beam behavior subjected to low-velocity impact can be enabled.

Multi-layer polymer beam reinforced by graphene platelets on low velocity impact response

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mohammed Salih Hassan ◽  
Haideer Taleb Shomran ◽  
Abbas Allawi Abbas ◽  
Bashar Dheyaa Hussein Al-Kasob ◽  
Manar Hamid Jasim ◽  
...  
Keyword(s):  
Contact Force ◽  
Separation Of Variables ◽  
Weight Fraction ◽  
Impact Response ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Conservation Of Energy ◽  
Content Type ◽  
Graphene Platelets ◽  
The Impact

Purpose The purpose of this paper is to investigate the effect of graphene platelets (GPLs) on the low-speed contact between a mass and surface of a multi-layer polymer beam. Design/methodology/approach This problem is primarily organized by first-order shear deformation beam theory and nonlinear Hertz rule. GPLs are distributed along the beam thickness direction. The Halpin–Tsai micromechanics model is applied for computing the effective Young’s modulus of the GPLs/polymer composites. In the formulation process, the principle of conservation of energy is first used and the histories of results are extracted using the separation of variables and Runge–Kutta method. Findings In comparing the responses with the available data, a good agreement is observed. The effects of the weight fraction and distribution pattern on the impact response of polymer beam reinforced with GPLs are studied. Results show that contact force is increased, contact time and beam recess are decreased with increasing of weight fraction of GPLs. Also, among the different distribution patterns, the contact force depended on value of GPLs at the point of contact. Originality/value The effects of GPLs addition on the multi-layer polymer beam has a novelty in impact problems.

Probabilistic contact force model for low velocity impact on honeycomb structure

2018 ◽  
Vol 4 (2) ◽  
pp. 51-65
Author(s):  
Sai Sharath Parsi ◽  
Anupoju Rajeev ◽  
Ahsan Uddin ◽  
Amit Shelke ◽  
Nasim Uddin
Keyword(s):  
Contact Force ◽  
Honeycomb Structure ◽  
Low Velocity Impact ◽  
Force Model ◽  
Low Velocity ◽  
Velocity Impact ◽  
Contact Force Model

Analysis of Low-Velocity Impact on Composite Sandwich Panels Using an Assumed Strain Solid Element

2004 ◽  
Vol 261-263 ◽  
pp. 283-288 ◽  
Author(s):  
Hoon Cheol Park ◽  
Jung Park ◽  
Nam Seo Goo ◽  
Kwang Joon Yoon ◽  
Jae Hwa Lee
Keyword(s):  
Elastic Constant ◽  
Contact Force ◽  
Sandwich Panels ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Velocity Impact ◽  
Composite Sandwich Panels ◽  
Composite Sandwich ◽  
Solid Element ◽  
Assumed Strain

Low-velocity impact on composite sandwich panels has been investigated. The contact force is computed from a proposed modified Hertzian contact law. In the proposed contact law, the exponent is adjusted and the through-the-thickness elastic constant of honeycomb core is reduced properly to approximately predict the measured contact force-time history during the impact. The equivalent transverse elastic constant is calculated from the rule of mixture. Nonlinear equation to calculate the contact force is solved by the Newton-Raphson method and time integration is done by the Newmark-beta method. A finite element program for the low-velocity impact analysis is coded by implementing these techniques and an 18-node assumed strain solid element. Behaviors of composite sandwich panels subjected to low-velocity impact are analyzed for various cases with different geometry and lay-ups. It has been found that the present code with the proposed contact law can predict measured contact forces and contact times for most cases within reasonable error bounds, especially for thick sandwich plates.

Effects of the impactor geometrical shape on the non-linear low-velocity impact response of sandwich plate with CNTRC face sheets

2018 ◽  
Vol 22 (4) ◽  
pp. 962-990 ◽  
Author(s):  
A Khalkhali ◽  
N Geran Malek ◽  
M Bozorgi Nejad
Keyword(s):  
Contact Force ◽  
Sandwich Plate ◽  
Impact Response ◽  
Low Velocity Impact ◽  
Integration Scheme ◽  
Geometrical Shape ◽  
Low Velocity ◽  
Velocity Impact ◽  
Non Linear ◽  
Central Displacement

In this study, non-linear low-velocity impact response of a simply supported sandwich plate with CNTRC face sheets subjected to the impactors with different geometrical shapes is investigated. It has been assumed that the sandwich plate is made up of two face sheets reinforced with CNTs graded along their thickness as X profile and a homogeneous core. In CNT-reinforced layers, a micromechanical model has been used to obtain the effective material properties and the analysis is performed in the framework of the Reddy's higher order shear deformation theory with regard to thermal effects. An analytical model is proposed to capture the response performance of the three-layer sandwich plates under different thermal environments. Through the proposed analytical study, in order to characterize the contact force between the sandwich plate and the impactors, the modified Hertz contact law is utilized. Rayleigh-Ritz method is applied to the Hamilton principle in order to find the set of equations of motion for the impactor as well as the CNTRC sandwich plate. Afterwards, the solution in the time domain is obtained based on Newmark's numerical time integration scheme. After validating the proposed approach, in order to examine the influences of various involved parameters, different parametric studies are conducted. It has been demonstrated that the variation of the initial kinetic energy as one of the parameters under study has a significant effect on the central displacement, contact force, and indentation in both conical and cylindrical impactors and the change in the radius of the cylinder has an insignificant effect on the central displacement. As well, in the case of equal masses, the cylindrical impactor causes more amount of indentation with respect to conical.

Correlation of Dent Depth to Maximum Contact Force and Damage of Composite Laminates

2014 ◽  
Vol 627 ◽  
pp. 353-356
Author(s):  
Z. Shen ◽  
Y.G. Xu ◽  
Andreas Chrysanthou
Keyword(s):  
Contact Force ◽  
Static Loading ◽  
Composite Laminates ◽  
Composite Structures ◽  
Low Velocity Impact ◽  
Low Velocity ◽  
Velocity Impact ◽  
Maximum Contact ◽  
Dent Depth ◽  
Maximum Contact Force

A major concern affecting the efficient use of carbon fibre reinforced composite laminates in the aerospace industry is the low velocity impact damage which may be introduced accidentally during manufacture, operation or maintenance of the composite structures. It is widely reported that the contact behavior of composite laminates under low-velocity impact can be obtained under quasi-static loading conditions. This paper focuses on the study of the correlation of the dent depth to the maximum contact force and damage of composite laminates under quasi-static loading. Analytical and finite element simulation approaches were employed to investigate relations between the contact force and the dent depth. Experimental investigations on the correlation between dent depth, maximum contact force and damage include quasi-static indentation testing, optical and scanning electron microscopic examination of the damage under different loading levels. The effect of damage initiation and growth on the contact behaviour has been discussed. Results show that consistent correlations between the dent depth, maximum contact force and damage exist and can be predicted with the analytical and numerical approaches. Dent depth can be used as an engineering parameter in assessing the severity of damage for composite structures that are subjected to low-velocity impact. This may lead to the development of a cost-effective technique for the inspection and maintenance of composite structures in aerospace applications.

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