scholarly journals Tzitzéica transformation is a dressing action

2006 ◽  
Vol 47 (5) ◽  
pp. 053502 ◽  
Author(s):  
Erxiao Wang
Keyword(s):  
Dressing Action

Single Diamond Dressing Characteristics of CMP Polyurethane Pad

2007 ◽  
Vol 329 ◽  
pp. 151-156 ◽  
Author(s):  
Yunn Shiuan Liao ◽  
M.Y. Tsai ◽  
James C. Sung ◽  
Yang Liang Pai
Keyword(s):  
Groove Depth ◽  
Surface Topology ◽  
Spring Back ◽  
Major Mechanism ◽  
Ridge Height ◽  
Four Corners ◽  
Pile Up ◽  
The Face ◽  
Side Walls ◽  
Dressing Action

The fundamental characteristics of dressing action on the polyurethane pad are investigated via dressing by single diamond of different orientations, dressing parameters and dressing path in this study. Experimental results show that a groove with pile-up on both side walls forms as the diamond moves over the pad with a specific dressing depth. The resulting asperities on the pad are strongly affected by the diamond orientation. Plowing is found to be the major mechanism responsible for this surface topology if dressing is conducted by the face of a diamond. On the contrary, cutting action dominates when the point of a diamond is responsible for dressing. It is also found that dressing velocity has an insignificant effect on the groove and ridges created on the pad. The depth of the groove is smaller than the dressing depth due to the spring back of the pad. When the groove created is repeatedly dressed over the same track, the ridge height and groove depth increases for each additional dressing. When two grooves cross each other, the ridges at the four corners of the intersection grow while the depth of the overlapped area decreases. These ridges will become the pressure enhancer of the abrasives to polish the wafer.

An Investigation of Grinding Wheel Cutting Edges

1964 ◽  
Vol 86 (4) ◽  
pp. 371-382 ◽  
Author(s):  
H. Tsuwa
Keyword(s):  
Electron Microscope ◽  
Microscopic Observation ◽  
Phase Contrast ◽  
Grinding Wheel ◽  
Grinding Wheels ◽  
Abrasive Grains ◽  
Contrast Microscope ◽  
New Apparatus ◽  
Grinding Operations ◽  
Dressing Action

A new apparatus for microscopic observation and tracing of cutting edges of a wheel has been developed. The use of this apparatus allows us to visually witness the behavior of abrasive grains during the grinding operation. A phase-contrast microscope, as well as an electron microscope has been used with the new apparatus in this investigation. A method of calculating effective grain spacing to show distribution of cutting edges, as well as the cutting edge ratio to known worn conditions of grains has been completed. These aforementioned values for various grinding wheels have been studied in grinding operations and the changing aspects of them have been noted. Through these experiments, we have had helpful suggestions about grinding mechanisms; there is no self-dressing action of grains in the usual grinding work; sliding of the cutting edges takes place in the grinding, and wear of the grinding is increased by this action.

Attempt of Electrodischarge Grinding with an Electrically Conductive Diamond-Cutting-Edge Wheel

2005 ◽  
Vol 291-292 ◽  
pp. 63-66 ◽  
Author(s):  
Kiyoshi Suzuki ◽  
Shinichi Ninomiya ◽  
Manabu Iwai ◽  
Y. Tanaka ◽  
Yoshihiko Murakami ◽  
...  
Keyword(s):  
Electrical Discharge ◽  
High Speed ◽  
Electrical Discharge Machining ◽  
Diamond Wheel ◽  
Grinding Force ◽  
High Speed Camera ◽  
Discharge Condition ◽  
Diamond Cutting ◽  
Electrically Conductive ◽  
Dressing Action

Electro-discharge grinding (hereafter called ED-grinding) was carried out with a trial manufactured metal bond diamond wheel containing electrically conductive diamond grits (hereafter called EC-D-grits-wheel). In this research two effects i.e. removal action of workpiece by electrical discharge machining, and an in-process dressing action of the cutting edges on the grits are expected to take place. The results of ED-grinding with EC-D-grits-wheel (f100mm, SDE120Q80M) on tungsten carbide indicated a significant decrease of 21% in the grinding force, when the set discharge current was increased from 0A to 12A. It was also clarified from the alternative-grinding test with and without an electro-discharge action that stable grinding characteristics along with a reduced grinding force could be achieved in the case of the EC-D-grits-wheel with the electro-discharge action. High-speed camera photographs indicated that a stable discharge condition was achieved.

scholarly journals A Note on Iwasawa-Type Decomposition

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Philip Foth
Keyword(s):  
Open Subset ◽  
Positive Cone ◽  
Geometric Criterion ◽  
Dressing Action ◽  
Type Decomposition

We study the Iwasawa-type decomposition of an open subset of SL(n,ℂ)as SU(p,q)AN. We show that the dressing action of SU(p,q)is globally defined on the space of admissible elements inAN. We also show that the space of admissible elements is a multiplicative subset ofAN. We establish a geometric criterion: the symmetrization of an admissible element maps the positive cone inℂninto itself.

scholarly journals Generating Rational Loop Groups with Noncompact Reality Conditions

2013 ◽  
Vol 113 (2) ◽  
pp. 187 ◽  
Author(s):  
Oliver Goertsches
Keyword(s):  
Loop Group ◽  
Dimensional System ◽  
Loop Groups ◽  
Real Form ◽  
Reality Condition ◽  
Dressing Action

We find generators for the full rational loop group of ${\rm GL}(n,\mathsf{C})$ as well as for the subgroup consisting of loops that satisfy the reality condition with respect to the noncompact real form ${\rm GL}(n,\mathsf{R})$. We calculate the dressing action of some of those generators on the positive loop group, and apply this to the ZS-AKNS flows and the $n$-dimensional system associated to ${\rm GL}(n,\mathsf{R})/{\rm O}(n)$.

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