Magneto-elastic waves in an initially stressed conducting elastic layer

1972 ◽  
Vol 99 (1) ◽  
pp. 55-60
Author(s):  
Saurendra Nath De
Keyword(s):  
Elastic Waves ◽  
Elastic Layer ◽  
Stressed Conducting

scholarly journals Magneto-thermo-visco-elastic waves in an initially stressed conducting layer

Sadhana ◽  
1998 ◽  
Vol 23 (3) ◽  
pp. 233-246 ◽  
Author(s):  
Amit Kumar Rakshit ◽  
P R Sengupta
Keyword(s):  
Elastic Waves ◽  
Conducting Layer ◽  
Stressed Conducting

Peculiarities of Elastic Waves Generated by Fatigue Tensile Fractures

2014 ◽  
Vol 891-892 ◽  
pp. 1779-1784
Author(s):  
Sergey Turuntaev
Keyword(s):  
Stress State ◽  
Elastic Wave ◽  
Elastic Waves ◽  
Elastic Layer ◽  
Rock Deformation ◽  
Static Tension ◽  
Stress Release ◽  
Stress Increase ◽  
Model Sample ◽  
Tensile Fractures

In the case of fracturing of rocks in subcritical stress state, the stress release due to fracturing could be accompanied by stress increase near the fracture tips, so the rock deformation near the tips could also generate elastic waves (so called "stopping-phase"). Results of experimental modeling of elastic wave generations by fatigue tensile fractures are considered. The model sample consisted of elastic layer made of rubber and fragile layer made of paraffin, the layers were bounded. The elastic layer was stretched and fixed, so the fragile layer was under static tension and started fracturing by tensile fractures. First fractures appeared in visually intact material, later fractures were preceded by a cloud of small "micro" fractures. The fracturing generated elastic waves, which had two components: one corresponded to fracturing of the fragile layer and had characteristic frequency 5-10 kHz; another one had frequency 100-300 Hz, opposite onset and corresponded to tension of elastic layer. It was concluded that tensile fractures in stressed rocks could be considered as a kind of a double-source of elastic waves: one source is the fracture itself, another source is an area of deformations due to stress increase in the vicinity of the fracture tips.

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

AN ELECTROHYDRODYNAMIC ANALYSIS OF THE EQUILIBRIUM SHAPE AND STABILITY OF STRESSED CONDUCTING FLUIDS : APPLICATION TO LMIS

1986 ◽  
Vol 47 (C7) ◽  
pp. C7-351-C7-358
Author(s):  
M. CHUNG ◽  
P. H. CUTLER ◽  
T. E. FEUCHTWANG ◽  
E. KAZES ◽  
N. M. MISKOVSKY
Keyword(s):  
Equilibrium Shape ◽  
Stressed Conducting ◽  
Conducting Fluids

SH-Wave Scattering From the Interface Defect

2017 ◽  
Vol 5 (1) ◽  
pp. 45-50
Author(s):  
Myron Voytko ◽  
◽  
Yaroslav Kulynych ◽  
Dozyslav Kuryliak
Keyword(s):  
Half Space ◽  
Wave Diffraction ◽  
Scattered Field ◽  
Wave Scattering ◽  
Elastic Layer ◽  
Analytical Form ◽  
Structure Parameters ◽  
Sh Wave ◽  
Interface Defect ◽  
Hopf Method

The problem of the elastic SH-wave diffraction from the semi-infinite interface defect in the rigid junction of the elastic layer and the half-space is solved. The defect is modeled by the impedance surface. The solution is obtained by the Wiener- Hopf method. The dependences of the scattered field on the structure parameters are presented in analytical form. Verifica¬tion of the obtained solution is presented.

Sign in / Sign up

Export Citation Format

Share Document