Shear waves in a nonlinear relaxing media: A three-dimensional perspective

2021 ◽  
Vol 149 (3) ◽  
pp. 1589-1595
Author(s):  
Giuseppe Saccomandi ◽  
Maurizio S. Vianello
Keyword(s):  
Shear Waves ◽  
Three Dimensional

THREE‐DIMENSIONAL SEISMIC MODEL STUDIES

Geophysics ◽  
1955 ◽  
Vol 20 (1) ◽  
pp. 19-32 ◽  
Author(s):  
F. K. Levin ◽  
H. C. Hibbard
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Elastic Wave ◽  
Surface Waves ◽  
Shear Waves ◽  
Three Dimensional ◽  
Seismic Model ◽  
Model Studies ◽  
Ground Roll ◽  
Detector Configurations

Elastic wave propagation in a two‐layer section has been studied with a solid two‐bed model and records resembling seismograms obtained for the four possible source‐detector configurations. Numerous events are identified. Among these, the shear waves are found to be surprisingly prominent. The amplitude of the ground roll falls off approximately as [Formula: see text] This is the amplitude‐range dependence expected for a surface wave. The ability of two in‐line detectors to reduce surface waves has been demonstrated.

scholarly journals Anti-plane shear waves in periodic elastic composites: band structure and anomalous wave refraction

2015 ◽  
Vol 471 (2180) ◽  
pp. 20150152 ◽  
Author(s):  
Sia Nemat-Nasser
Keyword(s):  
Band Structure ◽  
Phase Velocity ◽  
Negative Refraction ◽  
Mass Density ◽  
Shear Waves ◽  
Variable Mass ◽  
Three Dimensional ◽  
Positive Energy ◽  
Plane Shear ◽  
Elastic Composites

For anti-plane shear waves in periodic elastic composites, it is shown that negative energy refraction can be accompanied by positive phase-velocity refraction and positive energy refraction can be accompanied by negative phase-velocity refraction , and that this can happen over a broad range of frequencies. Hence, in general, negative refraction does not necessarily require antiparallel group and phase-velocity vectors. Details are given for layered composites and the results are extended to, and illustrated for, two-dimensional periodic composites, revealing a wealth of information about the refractive characteristics of this class of composites. The composite's unit cell may consist of any number of constituents of any variable mass density and elastic modulus, admitting large discontinuities . A powerful variational-based solution method is used that applies to one-, two- and three-dimensional composites, irrespective of their constituents being homogeneous or heterogeneous. The calculations are direct, accurate and efficient, yielding the band structure, group-velocity, energy-flux and phase-velocity vectors as functions of the frequency and wavevector components, over an entire frequency band.

Three-Dimensional Dynamic Response of Buried Pipelines to Incident Longitudinal and Shear Waves

1985 ◽  
Vol 52 (4) ◽  
pp. 919-926 ◽  
Author(s):  
S. K. Datta ◽  
P. M. O’Leary ◽  
A. H. Shah
Keyword(s):  
Material Properties ◽  
Shear Waves ◽  
Three Dimensional ◽  
Buried Pipelines ◽  
Incident Plane ◽  
Longitudinal And Shear Waves ◽  
Induced Stresses ◽  
Dynamic Amplification ◽  
Hoop Stresses ◽  
Surrounding Soil

An exact analysis is presented here for the three-dimensional dynamics of a long continuous pipeline embedded in an elastic medium. A shell model of the pipe has been used here. It is shown that the dynamic amplification of axial and hoop stresses induced in the pipe due to incident plane longitudinal and shear waves depends crucially on the ratio of rigidities of the surrounding soil and the pipe. Induced stresses are also found to have appreciable frequency dependence for certain combinations of material properties and angles of incidence. Results presented here are also applicable to buried tunnels.

Propagation of three-dimensional shear waves in orthotropic laminated composites

1982 ◽  
Vol 18 (1) ◽  
pp. 118-122
Author(s):  
V. M. Antonenko ◽  
A. N. Podlipenets ◽  
N. A. Shul'ga
Keyword(s):  
Laminated Composites ◽  
Shear Waves ◽  
Three Dimensional
Sign in / Sign up

Export Citation Format

Share Document