The dynamics of an elastic half-space under the action of a moving load

Alekseyeva, L.A.

doi:10.1016/j.jappmathmech.2007.09.005

Cited by 22 publications

(4 citation statements)

References 2 publications

(3 reference statements)

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“…Transient plain strain problem for an elastic half-space subject to a line force moving with uniform speed along the surface is examined by Kaplunov et al (2010). Alekseyeva (2007) established fundamental solutions for a half-space under the action of a load moving at constant velocity which does not change with time in a moving system of coordinates. Other than this, some authors also considered irregular surface for a moving load problem (Chattopadhyay et al, 2011; Mistri et al, 2017; Selim, 2007; Singh et al, 2017a).…”

Section: Introductionmentioning

confidence: 99%

Stress analysis on the irregular surface of visco-porous piezoelectric half-space subjected to a moving load

Rakshit

Mistri

Das³

et al. 2021

Journal of Intelligent Material Systems and Structures

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Response of moving load over a surface is an intriguing problem of mechanics to determine the stability and strength of a structure. Owing to this the present theoretical framework is devoted to find the stresses and electrical displacements of an irregular visco-porous piezoelectric half-space originated due to a uniformly moving line load. Expressions for normal stress, shear stress and electrical displacements have been derived in closed form. Effect of irregularity depth, irregularity factors and frictional coefficient on the stresses and electrical displacements are delineated graphically. Numerical demonstration of procured results is interpreted by means of graphs for two different materials, namely PZT-5A and PZT-7. A comparative study emphasising various irregularity (parabolic, rectangular and no irregularity) is among the salient features of the study.

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Section: Introductionmentioning

confidence: 99%

Stress analysis on the irregular surface of visco-porous piezoelectric half-space subjected to a moving load

Rakshit

Mistri

Das³

et al. 2021

Journal of Intelligent Material Systems and Structures

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“…(2012), Kaur et al . (2014), Alekseyeva (2007), Andersen et al. (2007), Celebi and Schmid (2005), Adam et al.…”

Section: Introductionmentioning

confidence: 99%

“…Erbas¸et al (2014) established a specialized hyperbolic-elliptic formulation for the wave field and dealt with three-dimensional (3D) analysis of near-resonant regimes of a point load, moving steadily along the surface of a coated elastic half-space. Other than these, many other authors had also elucidated the problem of a moving load including Olsson (1991), Lee and Ng (1994), Selim (2007), Mittal and Jiwari (2009), Chattaraj et al (2012), Kaur et al (2014), Alekseyeva (2007), Andersen et al (2007), Celebi and Schmid (2005), Adam et al (2000) and Chattopadhyay et al (2011).…”

Section: Introductionmentioning

confidence: 99%

Normal load moving on magneto-elastic transversely isotropic half-space with irregular and hydrostatic initial stress

Singh

Mistri

Chattopadhyay

2015

Journal of Vibration and Control

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The present paper investigates the effect of initial stress, irregularity depth, irregularity factor and magneto-elastic coupling parameter on the dynamic response due to a normal moving load with constant velocity on the free surface of an irregular magneto-elastic transversely isotropic half-space under the state of hydrostatic initial stress. The expressions for normal stress and shear stress are obtained in closed form analytically. The considerable effect of initial stress, irregularity depth, irregularity factor and magneto-elastic coupling parameter on normal stress and shear stress are computed numerically and depicted by means of graphs. Moreover, comparative study highlighting the effect of various types of irregularity viz. rectangular irregularity, parabolic irregularity and no irregularity on the normal stress and shear stress is a key feature of the study.

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“…The dynamic response of a finitely pre-strained bi-layered slab resting on a rigid foundation to a time-harmonic oscillating moving load was discussed by Akbarov and Salmanova (2009). Some notable work concerned with the problem of moving load on an elastic half-space was done by Achenbach et al (1967), Chonan (1976), Ungar (1976), Lee and Ng (1994), Olsson (1991), Alekseyeva (2007), etc. The problem of a normal load over a transversely isotropic layer lying on rigid foundation was investigated by Mukhopadhyay (1965) whereas Selim (2007) discussed the static deformation of an irregular initially stressed medium.…”

mentioning

confidence: 99%

Effect of irregularity and anisotropy on the dynamic response due to a shear load moving on an irregular orthotropic half-space under influence of gravity

Singh

Lakshman

Chattopadhyay

2016

Multidiscipline Modeling in Materials and Structures

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Purpose – The response of moving load over a surface is a subject of investigation because of its possible applications in determining the strength of a structure. Recently, with the enlargement of high-speed train networks, concern has been expressed about the effects of moving loads on the track, embankment and nearby structures. Earth surface and artificial structure are not always regular in nature. Irregularities are also responsible for structural collapse of long bridge and highway of plateau area under the action of moving loads. The purpose of this paper is to investigate the influence of irregularity on dynamic response due to a moving shear load. Design/methodology/approach – At first the authors developed the mathematical model for the problem which is comprised of equation of motion together with boundary conditions. Perturbation technique has been used to derive the stresses produced in an irregular orthotropic half-space (which is influenced by gravity) due to a moving shear load. MATLAB and MATHEMATICA softwares have been employed for numerical computation as well as graphical illustration. Findings – In this paper the authors have discussed the stresses produced in an irregular gravitating orthotropic half-space due to a moving shear load. The expression for shear stress has been established in closed form. Substantial effects of depth, irregularity factor, maximum depth of irregularity and gravitational parameter on shear stress have been reported. These effects are also exhibited by means of graphical illustration and numerical computation for an orthotropic material T300/5208 graphite/epoxy which is broadly used in aircraft designing. Moreover, comparison made through meticulous examination for different types of irregularity, presence and absence of anisotropy and gravity are highlighted. Practical implications – A number of classical fatigue failures occur in aircraft structures. The moving load responsible for such fatigue failure may occur during manufacturing process, servicing, etc. Apart from these the aircraft structures may also experience load because of environmental damages (such as lightning strike, overheat) and mechanical damages (like impact damage, overload/bearing failure). Therefore the present study is likely to find application in the field of construction of highways, airport runways and earthquake engineering. Originality/value – To the best of the authors’ knowledge no problem related to moving load on irregular orthotropic half-space under influence of gravity has been attempted by any author till date. Furthermore comparative study for different types of irregularity, presence and absence of anisotropy and influence of gravity on the dynamic response of moving load are novel and major highlights of the present study.

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The dynamics of an elastic half-space under the action of a moving load

Cited by 22 publications

References 2 publications

Stress analysis on the irregular surface of visco-porous piezoelectric half-space subjected to a moving load

Stress analysis on the irregular surface of visco-porous piezoelectric half-space subjected to a moving load

Normal load moving on magneto-elastic transversely isotropic half-space with irregular and hydrostatic initial stress

Effect of irregularity and anisotropy on the dynamic response due to a shear load moving on an irregular orthotropic half-space under influence of gravity

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