Teaching‎ > ‎

Nanomechanics of materials

Section 1: Description of a solid [7,8]
    electronic view, why important
    phononic view, why important
    atomic view, why important
    continuum view, why important
    length and time scales, difficulties 

Section 2: Deformation in solids [7,1,2,8]
    atomistic deformation
    continuum deformation

Section 3: Defects in solids [7,8]
    Why important
    Point defect (vacancies, localized impurity)
    Line defect (dislocation)
    Planar defect (surface)
    Disorder (alloying)      

Section 4: Concept of bands [7,3,4,5]
    Why important (for metals, semiconductors, insulators)
    Wavefunction 
    Confinement
    Bandgap
    Meaning of band curvature
    Anisotropy, its mechanics and importance

Section 5: Methods [8,7,9,6]
    Density functional theory
    DFT in Fourier/real space
    Molecular Statics/Dynamics
    Tight-binding theory
    Pseudopotential theory
    Finite Element Method
    Introduction to serial/parallel computation

Section 6: Applied problems [7,8]
   Computing energetics in solids (under stress)
   Meaning of stress to electrons 
   Stress and strain effects to particles (atoms, electrons) 
   Stress effects on transport (mass, momentum, energy)   

Section 7: Grand-summary [7,8]
    why did we learn sections 1-6
    when to use what
    an example with integration of different ideas taught in 1-6.



    
References
1). Applied Mechanics - Allan Bower
2). The Mechanics of Elastic Solids - Rohan Abeyaratne
3). Introduction to Solid State Physics - Charles Kittel
4). Elementary Electronic Structure - Walter Harrison 
5). Principles of Quantum mechanics - Ramamurti Shankar
6). Scientific Computing - Michael Heath

7). Lecture notes (zLN) - M. Z. Hossain
8). Journal Papers (to be added)
9). Web resources (to be added)

Required courses
(to be listed)