Thursday, May 26, 2022

Grinding - Productivity Science




Type of Grain

The type of grain used in the wheel  plays  a vital role in grinding. Diamonds is  preferred to grind hard materials but the most used ones are aluminium oxide and silicon carbide. Aluminium oxide grains are preferred to grind materials like steels as silicon carbide grains dull rapidly, aluminium oxide grinding wheels are used on materials like hard stainless steels, annealed malleable iron, tough bronzes and use silicon carbide to grind grey iron, chilled iron, brass, soft bronze, hard facing alloys and cemented carbides. 

Size of the grain is deterministic of the surface finish required. Small grains give finer finishes than large ones.    

Bonding Type

Vitrified bond being the most common one which is hardened by baking. Silicate bond holds the grains loosely and the wheel behaves softer than the vitrified bonded wheel. Rubber bond is done with vulcanised rubber and is used to manufacture thin and flexible wheels. Shellac bonded wheels produce smooth finishes on hard surfaces and metallic bonded wheels are used with diamond, CBN as grains and they are not to be dressed the usual way but by processes as ELID or ECDD. 

Resins like shellac and rubber as bonds have to be chosen for good surface finishes and vitrified for better material removal, when the surface speeds exceed 32 m/sec, vitrified bonded wheels are not to be chosen. 

CVD(Chemical Vapour Deposition) is a special type of abrasive where poly-crystalline diamond films with sharp edges having micron sized diamond crystallites are also available these are referred to as bondless diamond grinding wheels.

Wheel Wear

The performance of grinding wheel has an important factor in grinding ratio which is the ratio of metal volume removed to the volume of grinding wheel wear. Grinding ratio can be elaborated upon on the effective explanation of the effect of thrust force on wheel removal patterns.

Coolants

The main qualities of cooling fluids or coolants are: (i) to rapidly remove heat from the grinding zone or the heat affected zone, (ii) to provide lubrication, and (iii) to flush away the ground chips. 

The grinding fluids or coolants can be subdivided into three main categories as water miscible, water immiscible or oils, water composite fluids. Owing to their high viscosity index due to the paraffinic or naphthenic petroleum distillate origin, water immiscibles provide higher lubrication. But lower cooling properties relative to the other types which are formulated to be soluble in water [10, 26, 37–39]. Although their role as lubricants in  some cases is considered more important, straight oils, because of the mist and the danger of fire propagation, are only used with special precautions and equipment where lubrication is critical for form and finish. 

Synthetic fluids have also been extensively used since the last decade. 

The type of grinding fluid used is determined on the application and changes depending on the place of application. The main characteristics of grinding fluids have to be low corrosivity, high thermal coefficient, high human compatibility, high aging resistance, higher washing capability and good lubricating capability. 

Surface of the Wheel - Specific Energy

The ground surface and grinding forces are affected by the surface of the wheel. The wheel deteriorates due to grinding and should be dressed before the machined surface deteriorates beyond a quality limit of surface integrity as the deteriorated wheel will increase friction which in turn will increase the temperature at the wheel-work piece zone. In order to achieve the best wheel surface, dressing parameters must be set. The mathematical models use a simple energy method  or slip-line field method  to predict cutting forces.

Depth of cut

The lesser the depth of cut, yields small and non-continuous chips which gives a rough finish and the subsurface will be abound with micro cracks. 

The increase in depth of cut has the capability of enhancing the amount of material removed and with that can govern the formation of cracks in the subsurface and there by an improvement in the surface finish. The grinding wheel will be spoiled and might crumble if the depth of cut is enhanced beyond a point and this point is the place yields the chip and the thickness is called critical chip thickness.

Feed rate

Higher feed rates are going to enhance the surface finish if the speed of the grinding wheel is high and the depth of cut is appropriate for the formation of chips and the thickness of which is going to be critical. 

Lower feed rates are appropriate for lesser depth of cuts or if the material is hard and requiring a good surface finish. 


Mathematical Formulae

To be edited later


Surface finish Ra according to Malkin [7a] has 

the relationships with material removal rate 

Q′w and wheel parameters as dressing leads Sd

and grinding wheel speed vs as

 x K f d s vw Q' Ra  1/ 3

 1  x vw Q a d d s R K S a '  2 1/ 2 1/ 4

 2 Ra,  (dgy )

 3 2     r a Cw R

 4 where, δd is the dressing angle, ad is dressing 

depth, dg is average grinding dimension, Cr is 

the active grits per unit area, w is grinding 

width, Kf and K2 are constants. The finding of 

the exact number of active grits is the main 

limitation of these formulae

Eranki et.al [24], formulated material removal 

rate Q’w as a function of surface roughness Ra

and wheel grade g0 as

Q'w  35.0g00.78Ra0.43

 5

And wheel grade as a function of grinding 

ratio G and surface roughness Ra as

0.24

0 4.49 0.46 0.61

  a R R g G a

 6

Material removal rate Q′w as a relation of 

surface roughness Ra and grinding ratio G

0.62 '

10.85 0.36 0.6 1

a R w R G Q   a

 7

And dressing leads Sd is related to surface 

roughness Ra as

Sd  0.126Ra1.6

 8

Fawcett and dow [25] formulated a relation 

between surface roughness Ra and feed rate fr

as

Ra  kfr2

 9 where, k is a constant

A relationship between surface roughness Ra

and nose radius Nr was also given by them

[25] as 

r a r N R f

12 5  2

 10

This relation for surface roughness in contour 

grinding is made easy as the variables being 

used are less and can be easily found out 

unlike finding out the number of active grits 

on the wheel.


Metal 

removal rate (Zw) and wheel removal rate (Zt) 

can be expressed as

 ( ) 11

 ( ) 12

where w and t are workpiece and 

wheel removal parameters [27] and these can 

be taken as the volume of workpiece or wheel 

removed per unit time per unit thrust force. 

Metal and wheel removal rates can be shown 

as 

 13

 

 14


where dw is the diameter of the workpiece, ap

is the back engagement (width of cut), vf

is the 

feed speed.

The above mentioned metal removal 

parameter is expressed as below by [29] for 

easy to grind materials and using a single point 

diamond dressing as, being dependent on 

wheel speed, workpiece hardness and wheel 

dressing conditions as: ( ⁄ ) [ ( ⁄ )] 

 

 ⁄ 

 15

 

 

 ⁄ 

 

( ⁄ ) ( ⁄ ) 

 ( ( ⁄ ))

 ⁄ 

 16

where vw is workpiece surface speed in 

mm/min; vt

is wheel surface speed in mm/min; 

ad is depth of dress in mm; fd is lead of 

dressing mm/rev; de

is wheel diameter mm; 

Rkc is Rockwell hardness number of the work 

material (C scale); dg is the grain diameter in 

mm; ka

is constant dependent on coolant and 

wheel grain type; adf is down feed of grinding 

mm/pass; Vb is percentage volume of bond 

material in the wheel given as: 

 16a

where Hn is wheel hardness number; Sn is 

wheel structure number.

Grinding ratio (G) is the main constraint when 

considering the wheel performance expressed 

as

 

 17

Thrust force affects the grinding ratio as 

shown in the Figure 5 given in [26]. Figure 10 

shows that as there is a steep rise in Zt

the 

grinding ratio is also is rising and applying 

more force on the wheel to grind beyond this 

point will degrade the wheel faster.


The total specific energy, u generated by the 

grinding process as postulated by [7a] is

 18

the specific energy of the chip is of the main 

concern and is given as

 

 18a


The 

specific energy is related to the maximum 

undeformed chip thickness hm as given by [7a] [ 

 ( ) ( ) ] 

 19

where ds

is the wheel diameter, C is active 

grits per unit area of wheel surface, and β is 

the semi-included angle of the chip crosssection.


Hwang and Malkin [55] modified the 

undeformed chip thickness, taking into 

account that the tip be taken as round to 

decrease the specific energy which is stated by 

[55] as: 

 20

 √ 

( ) 

 21

The plowing of workpiece if a pyramidal tool 

with square base is used as done by Abebe

[54] is shown in the Figure 9 which shows 

different heights as well as the angles during 

grinding with a single point pyramidal grain.


The tool if taken to be pyramidal and having a 

rounded tip as shown in the Figure 11 above 

then the shape of the scratch is parabolic as 

shown in the Figure 10 then the surface 

roughness can be found out from the shape of 

the scratch as: 

 22

where ( ) 

 

 

 

 

 

 √ 

√ 

The value of z can be found out by trial and 

error from experimentation.


The crack free and ductile grinding of optical 

glasses which can be taken as hard and brittle 

material can be done if we maintain 

hydrostatic pressure and the maximum chip 

thickness not surpassing critical material 

specific chip thickness to avoid cracks being 

formed. This critical chip thickness is 

formulated as 

 ( 

 ) ( 

 ) 

 23

where E is the young’s modulus, HK is knoop

hardness and the Kc

is critical fracture 

toughness of the material under consideration 

for which critical chip thickness (hcrit) is to be 

found. Bilfano et al. [12, 62–64,] found the 

constant value to be approximately 0.15 after 

extensive grinding experimentation on 

different materials


Main Source Paper

Influence of Process Parameters on Grinding - A Review

P.V. Vinay1*, Ch. Srinivasa Rao2 

1.Department of Mechanical Engineering, GVP College for Degree and PG Courses

(Technical Campus), Rushikonda, Visakhapatnam

2.Department of Mechanical Engineering, Andhra University College of Engineering (A), 

Visakhapatnam


Trends in Mechanical Engineering & Technology, TMET (2013)

Volume 3, Issue 2, ISSN: 2231-1793,  pp. 16-28 



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Webinar: Grinding Science | Tips & Calculations for Process Optimization
19 Oct 2021

DCM Tech Corporation

Join Erik Lawson and Ashley Johnson as they answer some of the most frequently asked questions about the grinding process. In their experience helping customers optimize their processes, it often begins with understanding abrasives and entering the correct machine parameters.

The importance of using the correct abrasive in your grinding process cannot be understated. With the correct abrasive and material combination you can:

Decrease your process time
Reduce excess abrasive wear
Save your company time and money
This webinar will give you real world examples and calculations for understanding which abrasive to choose, how to calculate abrasive wear, how often to dress your abrasives, and more.

After abrasives, it is just as important to understand the way machine parameters, such as feed rate and table speed, affect the grinding process. Erik and Ashley will explain common grinding parameters and the affects they have on your finished parts to help you better understand what changes can be made in your own facility.

Key Takeaways
Learn about abrasive types, calculating abrasive wear, and dressing conventional abrasives
Understand how changes in grinding parameters can lead to improvements in finish, reduced abrasive wear, and time savings
Learn tips about what to look for, how to measure, and how to achieve your desired surface finish on an industrial grinder


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