laser bending - me.iitb.ac.inramesh/courses/me677/laser_bending.pdf · line of least resistance...
TRANSCRIPT
![Page 1: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/1.jpg)
Laser Bending
ME 677: Laser Material Processing
Instructor: Ramesh Singh
Laser Bending
1
![Page 2: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/2.jpg)
Outline
• Process Descriptions
• Mechanisms of Laser Bending
• Applications
ME 677: Laser Material Processing
Instructor: Ramesh Singh2
![Page 3: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/3.jpg)
Introduction
• Deformation can be induced in a controlled manner in sheets and plates by tracking the laser beam across one side of the material
• Temperature gradients are developed through the material thickness which induce stresses because of the differential expansion of adjacent layers that are at different temperatures
ME 677: Laser Material Processing
Instructor: Ramesh Singh
temperatures
• Materials such as stainless steels and the light alloys of aluminum, magnesium and titanium have a high coefficient of thermal expansion such sheet materials can deform significantly when laser heated
• The most important beam variables are the energy absorbed per unit length, the configuration of the heating source and the treatment sequence
3
![Page 4: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/4.jpg)
Principal Mechanisms
• Temperature gradient mechanism
• The point source mechanism
• Buckling mechanism
• Upsetting mechanism
ME 677: Laser Material Processing
Instructor: Ramesh Singh
• Upsetting mechanism
4
![Page 5: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/5.jpg)
Mechanism of Bending
ME 677: Laser Material Processing
Instructor: Ramesh Singh5
![Page 6: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/6.jpg)
Thermal Gradient Mechanism
• The material is heated by the laser such that there is
a steep thermal gradient through the thickness
• The material will be under compression due to
restraint caused by the material underneath which is
ME 677: Laser Material Processing
Instructor: Ramesh Singh
still cold
• Plastic flow will occur in the surface region provided
the temperature is high enough to cause thermal
strain
• The plastic strain will not be recovered during cooling
6
![Page 7: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/7.jpg)
Thermal Gradient
• Due to cooling the rest of material will heat up a little via
conduction, causing a reduction in tensile stresses in the
cooler region
• Finally, the area over which the stresses operate during
cooling are redistributed to the whole sheet as opposed to
ME 677: Laser Material Processing
Instructor: Ramesh Singh
cooling are redistributed to the whole sheet as opposed to
the small zone
• The plastic deformation due to heating is not recovered and
the piece bends towards laser on cooling
7
![Page 8: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/8.jpg)
Thermal Depth in Bending• To create this thermal gradient implies that a laser beam must
traverse the workpiece moving at such a speed that the
thermal depth, z, is small compared to the workpiece depth s0
1
1
2
=
=
t
z
Fourierno
αn timeinteractio=t
ME 677: Laser Material Processing
Instructor: Ramesh Singh8
1
/
1
2
0
2
0
2
0
2
0
2
<<
=
<<
<<
<<
Vs
D
VDt
s
t
st
sz
t
α
α
α
α
VelocityScan V
Dia Beam D
n timeinteractio
=
=
=t
![Page 9: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/9.jpg)
Thermal Gradient Bending
• The bending is asymmetric
– The restraint is not same at edges and the middle
of the sheet
– The previously heated region cools and contract
ME 677: Laser Material Processing
Instructor: Ramesh Singh
– The previously heated region cools and contract
causing a bend at that location while the beam is
heating at some other location
• The amount of bending per pass is not very
great, 1-3 deg
9
![Page 10: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/10.jpg)
Bending Angle
ME 677: Laser Material Processing
Instructor: Ramesh Singh10
![Page 11: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/11.jpg)
Point Source Mechanism
• If the beam source is stationery then the heated zone is a spot
rather than a line
• For a brief pulse thermal gradient will be created and the
mechanism is similar to thermal gradient
• The mechanical bend differs due to the shortened spot
resulting in pucker on the surface and finally bend along the
ME 677: Laser Material Processing
Instructor: Ramesh Singh
resulting in pucker on the surface and finally bend along the
line of least resistance (smallest width)
• If the pulse width is longer then it could result in buckling
mechanism
• It is used for micro-components and bending angle is 1/10 -
1/100 of a degree
11
![Page 12: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/12.jpg)
Buckling Mechanism• If there is little thermal gradient through the depth of the
sheet then the gradient mechanism will not work
• Expansion resulting from through heating will result in a bulge
• This bulge can move upwards or downwards
– initial bend; residual stress, applied stress
The center of bulge is hotter than the edges: the edge
ME 677: Laser Material Processing
Instructor: Ramesh Singh
• The center of bulge is hotter than the edges: the edge deformation will be elastic but center will plastically deform
• On cooling the plastic bend remains
• The rate of bending is 1-15 deg per pass
• The direction of bending could be ensured by introducing a bias
12
![Page 13: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/13.jpg)
Upsetting Mechanism• If the material geometry does not allow for buckling
due to its thickness or section modulus the no
buckling is restrained
• The laser treatment produces a thermal field with no
significant gradient, plastic deformation through the
thickness will occur beyond a particular temperature
ME 677: Laser Material Processing
Instructor: Ramesh Singh
thickness will occur beyond a particular temperature
• The material will be thickened which does not
recover even after cooling
13
![Page 14: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/14.jpg)
Modeling Thermal Gradient-Trivial or
Two Layer Model
ME 677: Laser Material Processing
Instructor: Ramesh Singh14
![Page 15: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/15.jpg)
Assumptions
• Temperature field is a step function
• All thermal expansion is converted to plastic
flow
• No mechanical strain
ME 677: Laser Material Processing
Instructor: Ramesh Singh
• No mechanical strain
• The bending is purely due to geometry
15
![Page 16: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/16.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh16
![Page 17: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/17.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh17
![Page 18: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/18.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh18
![Page 19: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/19.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh19
![Page 20: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/20.jpg)
Modeling of Buckling Mechanism
ME 677: Laser Material Processing
Instructor: Ramesh Singh20
![Page 21: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/21.jpg)
Buckling Drawing
ME 677: Laser Material Processing
Instructor: Ramesh Singh21
![Page 22: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/22.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh22
![Page 23: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/23.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh23
![Page 24: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/24.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh24
![Page 25: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/25.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh25
![Page 26: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/26.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh26
![Page 27: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/27.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh27
![Page 28: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/28.jpg)
ME 677: Laser Material Processing
Instructor: Ramesh Singh28
![Page 29: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/29.jpg)
Upsetting Mechanism
ME 677: Laser Material Processing
Instructor: Ramesh Singh29
![Page 30: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/30.jpg)
APPLICATIONS
• Non contact bending
• Bend is stronger that the parent sheet
• Bending of pipes and extrusions
• A forming tool for astronauts
ME 677: Laser Material Processing
Instructor: Ramesh Singh
• A forming tool for astronauts
• Adjustment of sealed electric contacts
• Straightening of rods
30
![Page 31: Laser Bending - me.iitb.ac.inramesh/courses/ME677/Laser_Bending.pdf · line of least resistance (smallest width) • If the pulse width is longer then it could result in buckling](https://reader030.vdocuments.site/reader030/viewer/2022040515/5e708b2c851eb07b6e3f4cb6/html5/thumbnails/31.jpg)
Practice Problem
• Approximate a first order mathematical
expression for following three mechanisms of
bending and use reasonable values for the
variables to predict the bend angles in:
ME 677: Laser Material Processing
Instructor: Ramesh Singh
variables to predict the bend angles in:
– Thermal gradient
– Buckling
– Upsetting
31