Study of vibrations in visco-poroelastic cylinder over a initially stressed heterogeneous layer

2020 ◽  
Author(s):  
Poonem Latha Madhuri ◽  
Rajitha Gurijala ◽  
Malla Reddy Perati
Keyword(s):  
2013 ◽  
Vol 47 (1) ◽  
pp. 316-323 ◽  
Author(s):  
Eva Max ◽  
Markus Hund ◽  
Igor I. Potemkin ◽  
Larisa Tsarkova

1972 ◽  
Vol 62 (2) ◽  
pp. 541-550
Author(s):  
R. S. Sidhu

abstract This paper studies the generation of axially symmetric transient SH waves in semi-infinite heterogeneous media in which μ and ρ vary with depth. The sources generating these waves are taken in the form of time-dependent torsional-body forces of finite dimensions. The solution is obtained using Hankel and Laplace transforms and Green's function. The disturbance from a buried point source of impulsive type is discussed in two cases, (a) μ = μo(1 + ɛz)2, ρ = ρo (1 + ɛz)2, (b) μ = μoe2az, ρ = ρoe2az. It is shown that, in contrast to the results for a homogeneous medium, in case (i), the wave reflected by the free surface generates secondary disturbances which trail behind the wave front and die out as t increases; the incident wave in this medium generates no such disturbance. In case (ii), however, both the incident as well as the reflected waves generate secondary disturbances. Formal solution for the disturbance in a heterogeneous layer of finite depth with stress-free boundaries is discussed in Appendix II.


Phenomena associated with a critical temperature at ca . 200° C in the oxidation of mild steel sheet in air (for example, a change of slope in the curve relating reciprocal of absolute temperature with logarithm of oxygen uptake in constant time) have been investigated by gravimetric, microchemical and electron-diffraction methods. The evidence is interpreted on the basis of predominant metal-ion diffusion above and predominant oxygen-ion diffusion below 200° C, in the oxide film. In the film an outer layer of rhombohedral α -Fe 2 O 3 , overlies a layer of cubic oxide which, initially nearer γ -Fe 2 O 3 , tends towards Fe 3 O 4 —rapidly and completely above 200° C, slowly and incompletely below 200° C. Above 200° C the rate of oxidation is controlled by the diffusion of ions across the film (Wagner mechanism), the parabolic law is followed, and oxygen uptake derived from the weight increase of the specimen is coincident with the oxygen content of the film on removal from the substrate. The film, being produced outside the original metal/air interface, is relatively insensitive to the mode of preparation of the surface, and interface colours readily develop. Below 200° C, oxidation again involves ion diffusion across the film, but the rate is controlled by a boundary reaction with a consequent logarithmic relationship with time. Since oxidation now proceeds at an oxide-metal interface the optical homogeneity of the oxidized layer is very sensitive to the initial condition of the surface. Abraded surfaces carry initially a heterogeneous layer (abrasion-produced oxide in a matrix of iron) in which oxidation can proceed without contributing to the overlying (strippable) film on which the development of interference colours depends. Thickening of the film and progression of colours may be long delayed during the period of oxygen uptake within the substrate. This period may be eliminated or. reduced either by removal of the heterogeneous layer by acid etching or by its modification by vacuum annealing. Although the disturbed substrate on abraded specimens serves in this way to provide evidence for the inward diffusion of oxygen, it exerts no appreciable control over the total oxygen uptake either above or below 200° C.


2018 ◽  
Vol 739 ◽  
pp. 961-971 ◽  
Author(s):  
Bao-Sheng Liu ◽  
Xu-Lei Sui ◽  
Shao-Hui Zhang ◽  
Fu-Da Yu ◽  
Yuan Xue ◽  
...  

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