Longitudinal and torsional shock waves in anisotropic elastic cylinders

Chugainova, A. P.; Куликовский, А. Г.

doi:10.1007/s00033-019-1234-8

Cited by 11 publications

(3 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As is known [8,3], evolutionary conditions can be represented by inequalities between the shock velocity W and the velocities of small perturbations. For the shocks considered here, evolutionary conditions have been obtained in [2,4]; they have the form…”

Section: Evolutionary Conditions For Discontinuities Classical Discon...mentioning

confidence: 99%

See 1 more Smart Citation

Riemann problem for longitudinal-torsional waves in nonlinear elastic rods

Chugainova

2023

Preprint

View full text Add to dashboard Cite

Asymptotics of nonstationary solutions to the Riemann problem are studied for a system of equations describing long small-amplitude longitudinal-torsional waves in nonlinear elastic rods in the presence of dissipation. It is shown that the form of the asymptotics of the solution depends on the dissipation parameters. The asymptotics of a nonstationary solution may correspond to theself-similar solution of the Riemann problem or, for other values of the dissipation parameters, may contain special (nonclassical) discontinuities.

show abstract

Section: Evolutionary Conditions For Discontinuities Classical Discon...mentioning

confidence: 99%

“…In [1] we studied the solutions of this system of equations in the form of Riemann waves and found overturning conditions for these waves. In [2] we studied discontinuities and investigated the Hugoniot locus. On the Hugoniot locus, we detected regions of evolutionary discontinuities (shocks) satisfying the Lax condition [3].…”

mentioning

confidence: 99%

Riemann problem for longitudinal-torsional waves in nonlinear elastic rods

Chugainova

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Its amplitude decays exponentially with depth and produces circumferential displacement with no dependency on the azimuthal angle. Torsional wave propagation in micropolar cylindrical bars has been studied by Taliercio et al [5], whereas a detailed theoretical study on the torsional wave in anisotropic elastic cylinder has been studied by Chugainova and Kulikovskii [6].…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of torsional waves in an anisotropic infinite cylinder with finite thickness

Kumawat

Vishwakarma²

2022

Phys. Scr.

View full text Add to dashboard Cite

The transference of torsional surface waves in an infinite anisotropic cylinder has been investigated. The equation of motion has been expressed in the cylindrical coordinate system, and by the means of the separation of variables, the displacement has been derived in terms of the Bessel function of the first kind and second kind. With the use of suitable boundary conditions, the dispersion equation has been deduced in a closed-form. Particular cases have been derived for monoclinic, orthotropic, transversely isotropic(precisely transtropic), and isotropic medium. In order to exhibit the present findings, graphs have been plotted for phase velocity against wave number to study the impact of elastic coefficients and the ratio of radii of the cylinder. In the end, phase velocity for different media has been compared. The study can be useful to construct torsional wave sensors in predicting the extent of damage during an earthquake by means of artificial explosions.

show abstract

Riemann problem for longitudinal–torsional waves in nonlinear elastic rods

Chugainova

2024

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

Longitudinal and torsional shock waves in anisotropic elastic cylinders

Cited by 11 publications

References 22 publications

Riemann problem for longitudinal-torsional waves in nonlinear elastic rods

Riemann problem for longitudinal-torsional waves in nonlinear elastic rods

Dynamic response of torsional waves in an anisotropic infinite cylinder with finite thickness

Riemann problem for longitudinal–torsional waves in nonlinear elastic rods

Contact Info

Product

Resources

About