Theoretical analysis of surface transverse waves propagating on a piezoelectric substrate under shallow groove or thin metal strip gratings

1995 ◽  
Vol 77 (12) ◽  
pp. 6228-6233 ◽  
Author(s):  
E. Gavignet ◽  
S. Ballandras ◽  
E. Bigler
JOM ◽  
1983 ◽  
Vol 35 (1) ◽  
pp. 34-39 ◽  
Author(s):  
David H. Ro ◽  
Milton W. Toaz ◽  
Vladimir S. Moxson

1974 ◽  
Vol 41 (4) ◽  
pp. 1031-1035
Author(s):  
R. Doby

A precursor boundary concept is introduced which decouples the stress-free boundary conditions at the parallel surfaces of the plate. The resulting orthogonal eigenfunctions are longitudinal and transverse waves. This property is exploited so as to satisfy stress-free conditions at the edge. The theoretical analysis reveals that the reflected waves are reordered so that the longitudinal and transverse modes represent the gradients of the incident transverse and longitudinal waves.


1977 ◽  
Vol 44 (2) ◽  
pp. 271-278 ◽  
Author(s):  
I. F. Collins ◽  
S. A. Meguid

This paper presents a theoretical investigation into the continued quasi-static compression of a thin metal strip between two rigid, parallel rough dies. Three different constitutive postulates for the strip material are considered: (a) rigid isotropic hardening, (b) rigid-perfectly plastic with an anisotropic yield criterion, and (c) rigid-kinematic (anisotropic) hardening. An initially homogeneous such strip develops inhomogeneities through its thickness as it is compressed. This is due to the dependence of the yield locus on the rigid-body spin for an anisotropic material and on the strain-history for a hardening material. The length of the dies is supposed to be much greater than the current strip thickness. The solution is hence effectively independent of position along the length of the strip and can be found by integrating an ordinary differential equation.


1964 ◽  
Vol 179 (1) ◽  
pp. 453-475 ◽  
Author(s):  
K. Saxl

The Pendulum process is a new incremental rolling method for producing thin metal strip from thick plate. This is done in a single step, bypassing a sequence of conventional and often unproductive operations, such as process coiling, storing, annealing or cleaning. Rolling is carried out generally without preheating. The forces in the reduction zone are largely controllable and comparatively hard alloys can be rolled without overloading the equipment. The ingoing material is forced by feed rolls into a gap formed by converging paths of the work rolls which are moved backwards and forwards. The work rolls are freely rotatable, each being supported by two rows of backing rollers. The rolls are rotated solely by frictional contact with the strip and must remain loaded during the whole cycle. Deformation takes place during both strokes of the cycle. The limitations of the method are discussed and some results reported.


2007 ◽  
Vol 192-193 ◽  
pp. 101-107 ◽  
Author(s):  
S.X. Zhang ◽  
H.M. Myo ◽  
K.B. Lim ◽  
K.K. Tong ◽  
M.S. Yong ◽  
...  
Keyword(s):  

Two types of quasi-steady high-speed deflagration have been observed experimentally. In the first place they are reaction-waves created in, and propagating through, rough tubes and tubes that contain obstacles; in the second place they are deflagrations created from established detonations by eliminating the transverse waves from the latter’s structure. Changes in tube roughness, obstacle size and tube diameter have no significant influence on the speeds at which the deflagrations propagate. These speeds are close to sonic relative to product gases flowing out of the reaction-waves, and both classes of deflagration are observed to travel at about one-half of the corresponding Chapman-Jouguet (CJ) detonation speed. A theoretical analysis has been carried out on a configuration that consists of a plane precursor shock-wave driven by a plane CJ deflagration. Results agree very well with observations and support the idea that, at least for the duration of these observations, this combination of shock and deflagration is controlled by the energetics of the reacting mixture.


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