Analysis on the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load

Mahanty, Moumita; Kumar, Pradeep; Singh, Abhishek Kumar; Chattopadhyay, Amares

doi:10.1007/s00419-020-01789-x

Cited by 10 publications

(4 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Crack propagation at the interface between viscoelastic and elastic materials was discussed by Ciavarella et al [29]. Mahanty et al [30] investigated the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load. The interaction of magnetoelastic shear waves with a Griffith crack in an infinite strip was examined by Panja and Mandal [31].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip

Singh,

Kaushik

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

The present study focuses on the propagation of a Griffith crack in an infinitely extending finitely thick transversely isotropic dry sandy strip with moving parallel punch pressure acting at the bounding surface of the layer because of the propagation of plane waves under mechanical point loading. Furthermore, the present model is developed using coupled singular integral equations, Dirac delta function & Cauchy-type singularities; it is applied to investigate the point load at the moving crack edge, and Hilbert transformation properties are also used to derive the stress intensity factor (SIF) with constant point loading in closed form. Numerical computation & graphical demonstrations have been provided to examine the influence of the prevailing parameters, viz. length & speed of the crack, pressure of the punch, sandiness parameter and different positions of point load, on the SIF for transversely isotropic dry sandy and also for isotropic material strips. A comparative study of the SIF at the tip of moving crack has been carried out for the transversely isotropic dry sandy strip and isotropic materials strip with and without punch pressure and sandiness to highlight some of the important peculiarities of the problem.

show abstract

Section: Introductionmentioning

confidence: 99%

“…2 1 and S 2 from the corresponding equations (27),(30),(34) and(35) in the equation(38) and (39), we obtain the following equations…”

mentioning

confidence: 99%

On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip

Singh,

Kaushik

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The problem of wave propagation and vibration in magneto-elastic fiberreinforced media is important to the field of engineering and material sciences. Some studies on wave propagation in fiber-reinforcement under the effect of the magnetic field were examined by Verma (1986), Kundu et al (2017), Othman and Lotfy (2013), Gupta et al (2021), , Kumari et al (2021), Mahanty et al (2020) and Gupta et al (2019). In addition to these, one among the factors that may not be ignored is heterogeneity and it is a trivial property of the Earth, which has been drawn attention of the seismologist.…”

Section: Introductionmentioning

confidence: 99%

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Rajak

Kundu

Kumhar

et al. 2022

View full text Add to dashboard Cite

PurposeThe purpose of this study is stated regarding the impact of the horizontally polarized shear wave vibration on a composite medium in the terms of phase and damped velocity.Design/methodology/approachThe assumed composite is composed of magneto-elastic fiber-reinforced (MEFR) layer constrained between heterogeneous viscoelastic layer and heterogeneous elastic half-space. The considered heterogeneity is associated with the directional rigidity and mass density in the uppermost layer and half-space of quadratic and trigonometric types, respectively. The coupled field equations related to the respective medium are solved analytically by employing the method of separation of variables.FindingsThe dispersion relation of the stated problem is secured by using the continuity assumptions, imposed at the stress-free surface and the interfaces of the expressed medium. The adopted numerical examples are used to compute the dispersion relation and plot the graphs between phase/damped velocity and wave number. Parametric studies on the phase and damped velocity yield five main conclusions: (1) Phase velocity decreases with increasing value of wave number and damped velocity increases up to a certain number and then starts falling simultaneously with increasing magnitude of wave number while keeping the rest parametric values fixed. (2) The presence of heterogeneity in the upper layer enhances the phase velocity and diminishes the damped velocity, but the presence of heterogeneity in the half-space enhances both the phase and damped velocity. (3) The appearance of reinforced parameters enhances the phase velocity for the considered crystalline graphite material and diminishes the phase velocity for the rest materials (carbon fiber-epoxy resin and steel) of the MEFR layer. Similarly, damped velocity decreases for the assumed crystalline graphite material of the MEFR layer and increases for the rest materials of the MEFR layer. (4) The induced dissipation factor due to viscoelastic property shows reversal decreasing and increasing effect on phase and damped velocity of SH-wave. (5) Ascending values of the angle at which the wave crosses the magnetic field increase the phase velocity and decrease the damped velocity for all the considered MEFR examples.Originality/valueTill date, the mathematical modeling as well as vibrational analysis of wave propagation through the composite structure consisting of MEFR layer constrained between viscoelastic media and elastic half-space under the effect of different varying properties with depth remains a new challenging issue for the researchers around the globe. The current analysis is an approach to move ahead in the era of wave propagation in different realistic models based on their parametric studies. Also, these studies are very helpful to find their applications in the field of mechanical, construction, aerospace, automobile, biomedical, marine, manufacturing industries and many branches of science and technology where magnetic fields induced in elastic deformation occur.

show abstract

“…Numerous researchers deal the problems of moving crack in various elastic solids having distinct anisotropy and obtained the expressions of SIF with the impact of several dynamic loading conditions. [28][29][30][31][32][33] As per the authors' knowledge, no mathematical investigation has been made till date to examine the propagation of Griffith crack influenced by plane waves in a monoclinic crystalline layer. The present mathematical model is a novel investigation for SIF at the tip of moving Griffith crack associated with plane wave propagation in a crystalline monoclinic layer with moving parallel punch pressure acting on the boundaries of the layer under the impact of mechanical point loading.…”

Section: Introductionmentioning

confidence: 99%

Analytical study on stress intensity factor due to the propagation of Griffith crack in a crystalline monoclinic layer subjected to punch pressure

Kumar

Mahanty

Singh

et al. 2020

Fatigue Fract Eng Mat Struct

Self Cite

View full text Add to dashboard Cite

An analytical model is introduced to analyse moving Griffith crack in a monoclinic crystalline layer of finite width and infinite extent with moving parallel punch pressure acting at the bounding surface of the layer because of the propagation of plane waves under mechanical point loading. Formulation of the model includes coupled singular integral equations with Cauchy‐type singularities. The expression of stress intensity factor (SIF) at the tip of moving crack having constant point loading is established in the closed‐form by employing Hilbert transformation. Further, expression of SIF is deduced for some particular cases of the crystalline layer, that is, without punch pressure and anisotropy. For the sake of validation, the obtained results are matched with pre‐established and standard results. Numerical computations and graphical demonstrations have been carried out for crystalline materials with monoclinic symmetry like lithium niobate and lithium tantalate and for isotropic material as well to unravel the effect of punch pressure, crack length, distinct positions of acting point load and the velocity of crack on SIF. Further, influence of anisotropy has been traced out remarkably through comparative study that is one of the pinnacles of the present study.

show abstract

Analysis on the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load

Cited by 10 publications

References 33 publications

On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip

On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Analytical study on stress intensity factor due to the propagation of Griffith crack in a crystalline monoclinic layer subjected to punch pressure

Contact Info

Product

Resources

About