Stress Intensity Factor of Dynamic Crack in Double-Layered Dry Sandy Elastic Medium due to Shear Wave under Different Loading Conditions

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The aim of the present investigation is to come up with a mathematical model for the dynamic mode III crack in an elastic continuum consisting of sandy properties. For the analysis of the propagating mode-III crack due to the propagating Love-type wave in an elastic continuum consisting of sandy properties, the results for the stress intensity factor (SIF) and crack opening displacement (COD) have been developed in closed form. The complex variable integral transform mathematical methods consisting of the two-sided Fourier integral transform, along with the Weiner-Hopf technique, serve as a salient feature of the adopted mathematical treatment for determining the SIF and COD in the closed form. Moreover, the expressions for the SIF and COD for the limiting static mode-III crack have also been obtained and deduced for special cases of elastic medium. The effects of existing parameters, viz. dry sandiness parameter, depth of crack, crack velocity on the SIF and COD . The effect of physical materials parameters has been shown numerically as well as graphically.

Section: Introductionmentioning

confidence: 99%

On the dynamic mode-III crack in the elastic continuum consisting of sandy properties

Yadav,

Renu

2023

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“…In addition to the above studies, Lotfy et al [24] discussed the generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem. The concept of dynamic crack in double-layered dry sandy medium due to shear wave was explored by Singh et al [25]. SIF of a Griffith crack in a porous medium subjected to a time-harmonic stress wave was examined by Son et al [26].…”

Section: Introductionmentioning

confidence: 99%

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

Singh,

Kaushik

2023

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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.

“…Additionally, CS beams are extensively used in a number of technical disciplines such as microfluidic systems, manipulating and sorting microparticles, micro-resonators, etc. Some works can be found in the literature dealing with crack propagation in media containing micro-scale properties, such as Singh et al [54], Singh et al [55], Singh et al [56], Yadav [57], etc. Some works on wave propagation aspects in fiber-reinforced composite media were done by Guha and Singh [58], Othmani et al [59], Singh et al [60], Singh et al [61], Singh et al [62], Singh et al [63], Singh et al [64], Guha and Singh [65], Guha and Singh [66], etc owing to the immense potential advantages of the considered composites compared to their monolithic counterparts.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Guha,

Singh,

Singh

2023

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This work focuses on mathematically studying thermoelastic damping (TED) and frequency shift (FS) in micro-scale piezoelectro-magneto-thermoelastic (PEMT) composite beams composed of BaTiO3-CoFe2O4 combination. Pertaining to cutting-edge micro-technologies implemented in several engineering/scientific applications now-a-days, micro-scale doubly clamped (CC), doubly simply supported (SS), clamped-free (CF), and clamped-simply supported (CS) beams are extensively analyzed. The beams are modeled following the linear Euler–Bernoulli assumptions. The first two eigenvalues of all beams are numerically obtained using Newton-Raphson method. The closed-form expressions of TED and FS of all beams are derived analytically. The influences of Classical dynamical coupled (CL), Lord-Shulman (LS) & Green-Lindsay (GL) thermoelasticity theories, beam dimensions, BaTiO3 volume fraction (Ωf), and the first two modes M1 & M2) on the TED & FS are meticulously analyzed. Critical thickness (CrTh), critical length (CrLt), and TED (inverse Quality factor) of the beams are numerically obtained and studied. Among other key outcomes, the existence of a critical value of Ωf is established in the range Ωf∈ [ [0.5, 0.55], at which, the TED and FS display a drastic change in their natures. The outcomes of the present analysis may find immense potential uses in the design and development of PEMT composite micro-beams, and their applications in several areas such as supporting/stiffening other micro/nanostructures, construction works, sensitive sensing applications, etc.