Exact relations between magnetoresistivity tensor components of conducting composites with a columnar microstructure

2000 ◽  
Vol 61 (9) ◽  
pp. 6288-6297 ◽  
Author(s):  
Yakov M. Strelniker ◽  
David J. Bergman
Keyword(s):  
Columnar Microstructure ◽  
Exact Relations ◽  
Conducting Composites

scholarly journals New exact relations for steady irrotational two-dimensional gravity and capillary surface waves

2017 ◽  
Vol 376 (2111) ◽  
pp. 20170220 ◽  
Author(s):  
Didier Clamond
Keyword(s):  
Free Surface ◽  
Gravity Waves ◽  
Water Waves ◽  
Two Dimensional ◽  
Physical Plane ◽  
Theme Issue ◽  
Nonlinear Water Waves ◽  
Dimensional Gravity ◽  
Irrotational Motion ◽  
Exact Relations

Steady two-dimensional surface capillary–gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.

Plastic Forming Processes Through Rotating Conical Dies1

2001 ◽  
Vol 68 (6) ◽  
pp. 894-902 ◽  
Author(s):  
D. Durban ◽  
G. Davidi ◽  
D. Lior
Keyword(s):  
Single Phase ◽  
Large Strain ◽  
Single Layer ◽  
Wall Friction ◽  
Nonlinear Ordinary Differential Equations ◽  
Tube Forming ◽  
Perfectly Plastic ◽  
Governing System ◽  
Plastic Forming ◽  
Exact Relations

Drawing and extrusion of single-phase and multilayered tubes through rotating conical dies is investigated within the framework of continuum plasticity. Large strain perfectly plastic J2 flow theory models constitutive behavior along with a radial-helical flow pattern. The governing system for a single-layer process is reduced to three coupled nonlinear ordinary differential equations. An approximate solution is developed for long and tapered working zones with low wall friction. That solution is used to simulate the field within each layer in composite tube forming. Exact relations are derived for the n-layered tube and it is shown that wall rotation can considerably reduce the required working loads. Dedicated to Professor Dietmar Gross on the occasion of his 60th birthday

Reliability, Properties and Microstructure of W80Ti20 Diffusion Barriers Between Al-Based Metallizations and Si.

1992 ◽  
Vol 260 ◽  
Author(s):  
A. G. Dirks ◽  
R. A. M. Wolters ◽  
A. E. M. De Veirman
Keyword(s):  
Barrier Properties ◽  
Diffusion Barriers ◽  
Columnar Microstructure ◽  
Compound Formation ◽  
Actual Distribution ◽  
Alloy Films ◽  
The Relationship ◽  
Post Deposition ◽  
Deposition Conditions

ABSTRACTTungsten-rich W-Ti (or W-Ti-N) alloy films are known for their applicability as diffusion barriers in advanced silicon technology, especially in the case of aluminium-based metallizations. For a wide variety of deposition conditions and post-deposition anneal treatments these refractory-metal barriers show a columnar microstructure. In contact with aluminium the W-Ti films do not form absolute barriers, because of mutual diffusion resulting in compound formation. The reactivity of the W-Ti barriers with the Al99Si1 interconnect has been studied by in-situ resistance measurements in vacuum at temperatures of approximately 450 °C (for W-Ti alloy films) and 475 °C (for W-Ti-N alloy films). In this paper new results dealing with the relationship between deposition conditions, microstructure and barrier properties will be discussed. Furthermore, it will be shown that the actual distribution of the titanium atoms in the tungsten matrix has a substantial influence on the reactivity of the barrier film with the Al99Si1 interconnect.

I.—On the Stratigraphical Relations of the Dufton Shales and Keisley Limestone of the Cross Fell Inlier

1906 ◽  
Vol 3 (11) ◽  
pp. 481-487 ◽  
Author(s):  
J. E. Marr
Keyword(s):  
The Cross ◽  
Exact Relations

Notwithstanding all that has been written concerning the Keisley Limestone, its exact relations with the older Dufton Shales have never been clearly ascertained. I accordingly devoted a few days of the Easter vacation to the study of these relations in company with Messrs. W. G. Fearnsides, R. H. Rastall, and T. O. Bosworth, whose help I gratefully acknowledge.

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