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(Course) Plastic Deformation in Crystalline Solids
Instructor: Kamyar Davoudi
Lectures: Saturdays and Mondays, 10:30 am-12:00 pm
Institute: Sharif University
Despite all the efforts that have been put toward the study of plastic deformations in the past 81 years, there is currently no generally accepted theory explaining all aspects of it; finding a theory of work hardening is now as hopeless as ever, and research is aimed at establishing a model instead [1].
In this course, we will try to explain why crystalline materials become plastic and how we can model their plastic deformations. Because dislocations are the main plastic carriers, we will start with an introduction to dislocation theory. We will then study different stages of strain-strain curve and the main mechanisms in each stage.
Many experiments have shown that the plastic behavior of materials at the micron and nano scales or in materials with smaller grain size can be quite different from that of the same material in bulk form. These observations led to the mantra of “smaller is stronger.” Design of reliable electronic devices at the micro- and nano-scale requires a good understanding of why and how the mechanical behavior is different at small scales. Explanation of size dependent behavior is another aim of this course. At the end of this course, we will demonstrate how we can approximately model plasticity and size dependent behavior using just a few simple rules.
Perquisite: Mechanics of Materials; Elasticity (Preferred)
Tentative topics:
Introduction
- Overview of the course
- Introduction to Crystallography
- Quick review of elasticity
- Quick review of thermodynamics
Part I: Theory of Defects
- Point defects
- Introduction to dislocations
- Strain energy of a dislocation
- Movement of dislocations, Orowan’s equation
- Forces on dislocations
- Dislocation multiplication, dislocation motion - II
- Partial dislocations and Lomer-Cottrell locks
- Frank partial and twinning dislocations
- Dislocation pile-ups
- Cross-slip
- Peierls resistance
- Overcoming of obstacles
- Governing equation for dislocation motion
Part II: Applications
- Explanation of different stages of stress-strain curve
- Schmid’s law
- Modeling plasticity using discrete dislocation plasticity
Extra Topics:
- Creep deformation
- Introduction to molecular dynamics
References:
There is no textbook for this course. But the following books are very helpful to understand the concepts of this course better.
(1)Abbaschian, R., Reed-Hill, R., 2009. Physical Metallurgy Principles (4th ed.), CL Engineering.
(2) Argon, A.S., 2008. Strengthening mechanism in crystal plasticity, Oxford University Press.
(3) Bulatov, V., Cai, W., 2006. Computer simulations of dislocations, Oxford University Press.
(4) Hull, D., Bacon, D.J., 2011. Introduction to dislocations, 5th ed. Elsevier.
(5) Kelly, A., Knowles, K., 2012. Crystallography and Crystal Defects, 2nd ed.John Wiley & Sons.
(6) Kubin, L.P., 2013. Dislocations, mesoscale simulations and plastic flow, Oxford University Press.
(7) Messerschmidt, U., 2010. Dislocation Dynamics During Plastic Deformation, Springer.
(8) Poirier, J.P., 1985. Creep of crystals, Cambridge University Press.
[1] Kocks, U.F., Mecking, H., Physics and Phenomenology of Strain Hardening: the FCC Case, Progress in Materials Science 48, 2003.
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Comments
How does it work? Can I eroll
How does it work? Can I eroll somehow? Will it be online?
Dear Bafty
Dear Bafty
It is not an online course. But I will upload the slides and/or my lecture notes here.
Any dedicated website?
Hi Dr. Davoudi,
Is there any dedicated web-page for this course, where one can see the lecture notes on?
Hi Danish
Hi Danish
I'll upload the slides here.