2 edition of **Interaction of plane stress waves with a spherical cavity in elastic and viscoelastic media** found in the catalog.

Interaction of plane stress waves with a spherical cavity in elastic and viscoelastic media

Allen, D. E.

- 375 Want to read
- 26 Currently reading

Published
**1966**
by University of Illinois in Urbana
.

Written in English

- Elastic solids.,
- Stress waves.,
- Viscoelasticity.

**Edition Notes**

Statement | by D. E. Allen and A. R. Robinson. |

Series | Civil engineering studies; structural research series, no. 302 |

Contributions | Robinson, A. R. 1929- joint author. |

Classifications | |
---|---|

LC Classifications | QA935 .A518 |

The Physical Object | |

Pagination | viii, 123, 10 l. |

Number of Pages | 123 |

ID Numbers | |

Open Library | OL5172940M |

LC Control Number | 74650781 |

by the same pressure pulse and to compare Voigt waves with elas. tic and real earth waves and; (d) to develop series solutions. for plane waves in a three-element viscoelastic medium (an elas. tic element in series with a Voigt model) for unit impulse, unit. step, single and dual decay exponential pressure pulses. J. D ACHENBACH – PUBLICATIONS Arranged Chronologically #1 (with C. C. Chao), “A Three-Parameter Viscoelastic Model Particularly Suited for #34 “Shear Waves in Finite Elastic Strain,” Quarterly of Appl. Math., Vol. 25, pp. , “On Stress Waves in Viscoelastic Media (See 41a Conducting Heat,”Proceedings IUTAM.

The P waves are an elastic wave (E wave) and a thermal wave (T wave) having similar characteristics to the fast and slow P waves of poroelasticity (e.g. Carcione ). Indeed, Carcione et al. () show that the Biot slow wave and the thermal wave co-exist and have the same behaviour, that is, diffusive at low frequencies and wave-like at Author: José M Carcione, Davide Gei, Juan E Santos, Juan E Santos, Juan E Santos, Li-Yun Fu, Jing Ba. Yang et al., Dynamic response of elastic half-space with cavity subjected to P and SV waves by finite/infinite element approach, Int. J. Struct. Stab. Stab. Dyn. 15 (07) () Cited by: 7.

investigated the magneto-thermoelastic interactions in an infinite viscoelastic cylinder of temperature rate dependent material subjected to a periodic loading. Spherically symmetric thermo-viscoelastic waves in a viscoelastic medium with a spherical cavity discussed by Banerjee, et al. [18]. 2- Formulation of the problem. Left: A step shock wave propagating in the test material incident on a gage plane with a different (lower) wave impedance. Stress wave profiles at several later times after wave reflections are also illustrated. Right: A Lagrangian distance–time plot of the wave interaction in the gage plane, and the successive increasing stress levels.

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Interaction of Plane Stress Waves with a Spherical Cavity in Elastic and Viscoelastic Media Welcome to the IDEALS Repository JavaScript is disabled for your browser.

Interaction of Plane Stress Waves with a Spherical Cavity in Elastic and Viscoelastic Media By David Elliott Allen Get PDF (5 MB)Author: David Elliott Allen. Stress wave propagation in an elastic/viscoplastic sphere containing an eccentric spherical cavity is analyzed numerically by the method of direct integration of the governing equations in bipolar coordinates, when an axisymmetric dynamic load and a non-axisymmetric dynamic, frictional load are applied simultaneously onto a small part of the : Shinji Tanimura.

interactions in an unbounded body with a spherical cavity subjected to a periodic loading on the boundary. Effects of thermal relaxations on thermo elastic interactions in an unbounded body with a spherical cavity or cylindrical hole subjected to a periodic loading on the boundary respectively is investigated by Roychoudhuri and Banerjee [12].Cited by: 1.

A spherical wave in a viscoelastic half-space. Article. The propagation of spherical waves in an isotropie elastic medium has been studied sufficiently completely (see, e.g., [1–4]). it is proved [5, 6] that in imperfect solid media, the formation and propagation of waves similar to waves in elastic media are : A.

Semenov. Magneto-Thermo-Viscoelastic Interactions in an Unbounded Non-homogeneous Body with a Spherical Cavity Subjected to a Periodic of rotation, magnetic field and a periodic loading on radial vibrations thermo-viscoelastic non-homogeneous media was investigated by Basyouni, Mahmoud and AlzahraniFile Size: KB.

by Stroh [24]. Stroh formalism has been applied to plane waves propagating in perfectly elastic, viscoelastic and thermoviscoelastic anisotropic media [25–27] and to the problems of reflection/transmission of plane waves at a plane interface separating viscoelastic anisotropic media.

Geophys. Int. ()– doi: /jXx GJI Seismology Plane waves in viscoelastic anisotropic media—II. Numerical examples Vlastislav Cerven´ˇ y1 and Ivan Pˇsenˇc´ık2 1Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 16 Praha 2, Czech Republic.

E-mail:. hyay [23] have considered the distribution of ﬁeld quantities in a viscoelastic medium with a spherical cavity in the context of generalized thermoelastic-ity with the relaxation eﬀect. Baksi et al. [24] have derived the fundamental equations of an inﬁnite rotating magneto-thermo-viscoelastic media due to heat.

DEFORMATION OF SPHERICAL CAVITIES AND INCLUSIONS IN FLUID-INFILTRATED ELASTIC MATERIALS J. RKE~, J. RUDNICKIS and D. SIMONS~ Abstract-The problem of a spherical cavity which is embedded in linear, fluid-infiltrated, elastic porous medium and which is subjected to the sudden quasi-static application of a stress at the cavity boundary is.

Eﬀects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability 1,t2,3,¨el1 in-plane stress and in the presence of either a close by contactor or an electric ﬁeld, both inducing a normal stress on the ﬁlm surface.

We ﬁnd that the in-plane stress aﬀects both the typical. An integral equation is used to derive formal expressions for the scattering of a plane wave from a single homogeneous flaw embedded in an isotropic elastic medium. The distribution of scattered energy due to the interaction of spherical elastic dilatational waves with a spherical cavity is found to differ from that due to plane waves for long wavelengths even when the radius of curvature is much larger than the cavity by: 1.

Propagation of a plane wave. A plane wave is a solution of the propagation equation that propagates in an direction orthogonal to a plane, with normal k^, and its electric field is E→rt=E→0ejωct−kck^.r, with E→0 such that E→0.k^=0.

Contrary to the previous case, the wave presents constant amplitude and phase on a plane orthogonal to k^. In this article, propagation of plane waves in an isotropic modified couple stress generalized thermoelastic with mass diffusion solid has been investigated. The phase velocity, attenuation coefficient, specific loss and penetration depth of plane waves are computed and presented graphically for different values of frequency.

An exact closed-form solution is obtained for the transient response of an infinite isotropic elastic medium containing a spherical cavity subjected. employed a Laplace transform to study the transient, stress wave diffraction from a spherical cavity due to an incident longitudinal, plane step wave travelling within an elastic medium.

An analytical expression was derived for the elastic wave potentials by Author: Ako Bahari, Ako Bahari, Gaëlle Lefeuve-Mesgouez, Arnaud Mesgouez, Neil Popplewell. The method of Ying and Truell for studying the scattering of longitudinal elastic waves by spherical obstacles is applied to the particular case of scattering by a fluid‐filled cavity that is embedded in an isotropic elastic solid.

Exact solutions for the expansion coefficients which describe the scattered elastic wave are obtained. The limiting case of ka≪1 (Rayleigh Cited by: An infinitely long circular cylinder, consisting generally of a finite number of coaxial viscoelastic layers, surrounded by a deformable medium is considered.

The dynamic stress—the deformed state of a piecewise-homogeneous cylindrical layer from a harmonic wave is investigated. The numerical results of stress, depending on the wavelength are : Safarov Ismoil Ibrohimovich, Kulmuratov Nurillo Rakhimovich, Teshayev Muhsin Khudoyberdiyevich, Kuld.

Introduction. In this paper we study a class of travelling shear waves in incom-pressible nonlinearly viscoelastic media with three goals: i) to present exact solutions for a family of properly invariant equations of non-linear viscoelasticity, ii) to study the roles'of nonlinear elastic response and nonlinear viscous response in determining.

Dynamic stress and displacement in an elastic Jiang et al. [19] studied the scattering of plane waves by a cylindrical cavity with lining in a poroelastic half-space by using the complex variable functionmethod. In this study, dynamic response of an elastic half-space with a cylindrical cavity of circular cross-section is Cos ¸kun et.Since the strains are small, all the governing equations for linear elastic materials can be linearized, and are therefore relatively easy to solve.

Linear elasticity theory is thus the best known and most widely used branch of solid mechanics. 4. Elastic Waves in an Unbounded Medium Plane Waves Time-Harmonic Plane Waves Inhomogeneous Plane Waves Slowness Diagrams Wave Motions with Polar Symmetry Governing Equations Pressurization of a Spherical Cavity Superposition of Harmonic Waves Two-Dimensional Wave Book Edition: 1.