Kinematic and Isotropic Hardening

Click For Summary
SUMMARY

Kinematic and isotropic hardening are two distinct concepts in material science that describe how materials behave under stress beyond their yield point. Kinematic hardening involves the movement of the yield surface in stress space while maintaining its size, whereas isotropic hardening results in an increase in the yield surface size without shifting its center. These concepts are crucial for understanding yielding behavior in materials and can be further explored through resources such as the provided lecture notes and textbooks.

PREREQUISITES
  • Understanding of stress and strain concepts in materials science
  • Familiarity with yield surfaces and plasticity theory
  • Basic knowledge of material deformation mechanisms
  • Experience with engineering mechanics or material behavior analysis
NEXT STEPS
  • Study the differences between kinematic and isotropic hardening in detail
  • Review the provided lecture notes on plasticity from Brown University
  • Explore the textbook references for in-depth explanations of hardening mechanisms
  • Investigate mixed hardening and its applications in material science
USEFUL FOR

This discussion is beneficial for materials scientists, mechanical engineers, and students studying material behavior under stress, particularly those interested in plasticity and yielding phenomena.

darkelf
Messages
75
Reaction score
0
Hello,

Could anyone help explain what Kinematic and Isotropic hardening are. Any brief explanation or reference to a good book that explains these topics would be very useful.

Thank you
 
Engineering news on Phys.org
I don't spend a lot of time dealing with yielding, so my answer is going to be very basic and fundamental. You'll want to get someone like Mapes or Astronuc in here to help.

Imagine the three orthogonal axes about a point of which the axes are [tex]\sigma_1, \sigma_1[/tex] and [tex]\sigma_3[/tex]. Now draw a sphere around that point. That sphere will coincide with the elastic limit. As the stress at a point increases, a path will go from the state of 0 stress to somewhere in this strress space until it eventually hits the yield surface. As you push past the yield surface by increasing stresses, the material will harden and cause a permanent set in the material when the load is released. For isentropic hardening, the yield surface will grow in size and it will have its center remain in the same place in the stress space. For kinematic, the yield surface moves but the size stays the same. There is also a mixture of the two called mixed hardening.http://www.engin.brown.edu/courses/en222/Notes/plasticity/plasticity.htm

http://www.google.com/url?sa=t&source=web&ct=res&cd=2&url=http%3A%2F%2Fecow.engr.wisc.edu%2Fcgi-bin%2Fget%2Fmsae%2F441%2Fstone%2Fnotes%2Fmse441lectureno.20kinematicvsisotropichardening.ppt&ei=Tbu2SZmIEaGbtwfen-yyCQ&usg=AFQjCNG2Y5QXYXcNcVUWdNuihF2pr0ktKA&sig2=FsGt4XflMFcQsytLBtsr9w

http://www.google.com/url?sa=t&source=web&ct=res&cd=5&url=http%3A%2F%2Fpersonalwebs.oakland.edu%2F~l8smith%2Fjunk3%2FNewMetalFormingNotes%2Fch%25204%2520hardening.pdf&ei=Tbu2SZmIEaGbtwfen-yyCQ&usg=AFQjCNGgVfgHikwcz07S9rkZskt5ShRncg&sig2=iX2hshd2ALJx82aMysbBYQ

http://books.google.com/books?id=P2...X&oi=book_result&resnum=7&ct=result#PPA217,M1
 
Last edited by a moderator:

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K