Computational materials science — From atoms to structures

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2012 Morton Antler Lecture – Sept. 25, 2012
Additional resources
58TH IEEE HOLM CONFERENCE ON ELECTRICAL CONTACTS
Website:
http://web.mit.edu/mbuehler/www/index.html
http://cee.mit.edu/buehler
Computational materials
science — From atoms to
structures
Publications:
http://web.mit.edu/mbuehler/www/research/publications.htm
Markus J. Buehler
MIT Profiles:
http://web.mit.edu/newsoffice/2012/profile-buehler-0403.html
http://web.mit.edu/newsoffice/2012/spider-web-strength-0202.html
http://web.mit.edu/newsoffice/2010/biomaterials-1022.html
http://ilp.mit.edu/newsstory.jsp?id=18292 (MIT Industrial Liaison Program)
http://ilp.mit.edu/videodetail.jsp?id=580 (series of five videos)
http://www.asme.org/kb/news---articles/media/2012/11/podcast-thenanomechanics-of-spider-webs (ASME podcast)
Laboratory for Atomistic and Molecular Mechanics
Department of Civil and Environmental Engineering
Massachusetts Institute of Technology
E-mail:
mbuehler@MIT.EDU
URL:
http://web.mit.edu/mbuehler/www/
Funding: DOD-ONR, AFOSR, ARO, ARO-MURI, PECASE, NSF, NIH
1
Advanced manufacturing: overview
Enabling the next industrial revolution
Conventional: “Top-down approach”
- Requires many different raw materials
- Limited structural control & flexibility
Material
Design
Van Vliet, Yip, Buehler, Ulm et al., MRS Bulletin, 2012
Feedback to improve material design (requirements, performance in use, etc.)
Material design is a critical component in Advanced Manufacturing
Source: O. De Weck, MIT
4
New: “Bottom-up approach”
- Few raw materials
- Enhanced flexibility through structure
- Integration of material synthesis
with manufacturing of product
(system perspective)
- Bioinspired
A new paradigm of material design
“bottom-up approach” – example: spider silk, self-assembled solid that’s
stronger than steel
spinning
Steel: strength ~1 GPa: strong bonds
Spider silk: strength: ~1-2 GPa & 60% strain @ failure extreme toughness
weak bonds; made @ room temperature via self-assembly
Key science question: how weakness is turned to strength
spider
web
Copyright Dennis Kunel
Microscopy
DNA
protein
4 ‘letters’
ACGT
20 building blocks
(amino acids)
material/
tissue
(spider) silk spinning
liquid to solid
strength of steel
M. Buehler et al., Nano Letters, 2011; Nature, 2012; Kaplan, Buehler, Wong, et al., 2012
Source: M. Buehler & NSF
6
Concept: universality-diversity paradigm (UDP)
Diverse material properties, same building block
M. Buehler, MRS Bulletin, 2013
silk
proteins
underwater adhesive
(mussels)
H. Waite/USCB
actin, intermediate
filaments (cell)
Multifunctionality
(diversity) created
by changing
structural
arrangements of few
(universal)
constituents
silk fibers (spider web)
Architecture/structural engineering
collagen
(tendon)
No need to invent
new building blocks
http://www.olympusmicro.com
ultrascale structural engineering
Materials composed from a library of only 20 amino acids (proteins)
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Powerful paradigm
for innovation
- Fewer resources
- More flexibility
- Wider design
space
Buehler, Nature Nanotechnology, 2010
Ackbarow, Buehler et al., Materials Today, 2007
Thin copper films deposited on silicon wavers
Material failure – across the scales
metal film
on substrate
(e.g. silicon waver)
microcrack
Electrical contacts: failure due to temperature, corosion, cyclic loading
Balk, Dehm, Arzt, 2003
Earthquake: failure of the earth’s crust
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thermal expansion
10
Buehler and Xu, Nature, 2010; M. Buehler and S. Keten, Rev. Mod. Phys. 2010
Integration of experiment and computation
Connecting the virtual to
the physical world
Exploiting a hierarchical bio-inspired
approach enables us to manufacture
‘materials by design’
From chemical structure to
engineering properties
Three-pronged research
approach: “materiomics”
1. Simulation and
experiment of different
systems
2. Generalize insight
through comparative
study
3. Analytical models,
mathematical tools
Combine first principles computation and
experimental approaches
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Funding: NSF CAREER 0642545, AFOSR, ONR
Quantum
mechanics
Buehler et al., Nature Materials, 2009;. Z. Qin et al., 2010, 2012
Linking chemistry, structure and mechanics
Molecular simulation – movie
Molecular dynamics:
Fundamental model of materials
“bottom-up”
electrostatic
bonds
covalent bonds
weak bonds
Large-scale simulation of complex biomolecules now possible
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M. Buehler, Atomistic Modeling of Materials Failure, Springer, 2008
Enables a multi-scale approach


15
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M. Buehler, MRS Bulletin, 2013
Emergence of opportunity
The basis of multi-scale methodology is the parameterization of
“coarse-grain” models through analysis of more complex and
sophisticated “fine-grain” models.
Already a common practice to “train” atomistic force-fields for
molecular dynamics simulations via results from quantum mechanics
(e.g. DFT), extended across all scales
S. Cranford, M. Buehler, Biomateriomics, Springer, 2012
Source: TIME magazine
16
cell membrane rupture at micrometer scale
Structure prediction and functional properties
Genetics
…GGLGGQGAGAA
AAAAGGAGQG …
Amino acid
sequence
Validation
(experimental
results)
Replica
Exchange
Simulations
Ensemble
of final
structures
Folding
—structure
S. Cranford, M. Buehler,
Biomateriomics,
Springer, 2012

Mechanical characterization
(multiscale)
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Mechanics
(functionality)

What happens when we stretch fibers
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Smaller is stronger
~2-3 nm (nanocrystal)
detailed study:
hydrophobic,
form crystals
(don’t mix w/
water) = A
hydrophilic
(mix w/ water) = B
Smaller crystals (left) are stronger: Larger crystals (right) are fragile, crack easily
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Keten, Buehler et al., Nature Materials, 2010
Mechanics of web from molecular principles
What happens when we stretch fibers
Silk structure identified
using statistical methods
Constitutive behavior
(derived from molecular
principles, w/ mechanisms:
Unfolding, slip, failure)
Nanomechanics
characterization
Macroscale system (web)
Silk protein
sequence
Nature
Materials, 2010;
Nature, 2012
Simple model: interplay of two “particles” allows us to describe
material properties of silk from “first principles”
31-helices
(semi amorphous)
beta-sheet
nanocrystal
Web failure (simulation,
model and in situ
experiment)
Link macroscale
web failure back
to molecular
mechanisms
stiffening:
robust system
Key result: Explains source of great strength of silk (comparable to steel)
despite material being constructed from weak H-bonds (e.g. water)
22
Nova et al., Nano Letters, 2010
Case study:
protein
music
Creating enhanced functionality out of simple
building blocks
A = hydrophobic domain
BA3
B = hydrophilic domain
AB3
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M. Buehler, Nano Today, 2010
Funding: NIH/U01 EB014976
Kaplan, Wong, Buehler et al., 2012
How sequence controls structure & mechanics
Manufacturing synthetic silk fibers
Forms fibers from microfluidic
spinning device
BA3
Design sequence
AB3 vs. BA3
Novel
biomaterial
Gronau, Kaplan, Wong, Buehler et al., 2012
AB3
20 m
Kanahan, Kaplan, Wong, Buehler et al., 2012
Microfluidic model of the spider’s spinning duct
Joyce Wong, S.B. ‘88, Ph.D. ’94, Boston Univ.
David Kaplan, Tufts Univ.
Clogging and no fiber formation
26
Gronau, Kaplan, Wong, Buehler et al., 2012
Microscopic insight from molecular simulation
Shifting gears: metals, ceramics, etc.
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Fracture is a multi-scale phenomenon
Fracture of silicon: problem statement
M.J. Buehler,
Atomistic
Modeling of
Materials Failure,
Springer, New
York, 2008
Crack dynamics in silicon
Fracture initiation and instabilities: movie
Buehler et al., Phys. Rev. Lett., 2007
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Atomistic fracture mechanism: 5-7 defects
Crack speed: experiment vs. simulation
Load: normalized by critical energy release rate to initiate fracture
Buehler et al., Phys. Rev. Lett., 2007
M.J. Buehler et al., Phys. Rev. Lett., 2007
Brittle-to-ductile transition
Simple “continuum” model
Explanation: Increased barrier due to 5-7 defect that forms under stress
and “locks” the crack (increased surface energy)
 0
v0
G    G0
cR
1  G
G  G0,MD
G0,MD   57
G  G0,MD
G0   0
 57   0
M.J. Buehler et al., Phys. Rev. Lett., 2007
36
M.J. Buehler et al., Phys. Rev. Lett., 2010
Brittle-to-ductile transition
Atomistic modeling studies of
dislocation plasticity in thin films
Experimental work by G. Dehm, J. Balk, E. Arzt (MPI),
C.V. Thompson (MIT), B. Nix (Stanford), et al.
38
M.J. Buehler et al., Phys. Rev. Lett., 2010
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Thin films: geometry
Dislocations in TEM
metal film
on substrate
(e.g. silicon waver)
Grain
boundaries
constant yield
stress
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Balk, Dehm, Arzt, 2003
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Balk, Dehm, Arzt, 2003
Dislocations in TEM
Atomistic details of dislocation nucleation
[111]
top view
• Dislocation nucleation from a traction-free
grain boundary in an ultra thin copper film
• Atomistic results depict mechanism of
nucleation of partial dislocation
stretch 10x
42
Thin copper with Al-oxide layer on surface
“Threading
dislocations”
Dislocations
inclined with
respect to
surface plane;
appear as
straight lines on
surface
Shear stresses & dislocation nucleation
Passivated


Nonpassivated
T

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Balk, Dehm, Arzt, 2003
44
T
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Buehler, Gao, et al. JMPS, 2004
[112]

Buehler, Gao, et al. JMPS, 2004
Balk, Dehm, Arzt, 2003
(time
sequence)
z
45
Diffusion leads to insertion of lattice planes in grain
boundary, yields stress field of a crack
48
Buehler, Gao, et al. JMPS, 2004
Key mechanism: From grain boundary to crack
Buehler, Gao, et al. JMPS, 2004
47
Plot: displacement of atoms in the z-direction (red=large displacement)46
Buehler, Gao, et al. JMPS, 2004
How is it possible that a thin film with
no cracks behaves like one with
cracks?
Ritchie, Buehler et al., Annual Rev. Mat. Sci., 2011
Sen, Buehler, Scientific Reports, 2011
Hierarchical composites
Bio-inspired hierarchical
composites
J-integral analysis
Modeling/simulation, design and
manufacturing
50
Fracture mechanism
bone-like
*90% of fracture strength
Summary: Universality-diversity paradigm
Paradigm uncovered:
• Create multifunctionality
(diversity) by changing structural
arrangements of few (universal)
constituents: geometry controlled
by confinement/scaling laws
• No reliance on invention of new
building blocks
• Departure from widely used
engineering approach: Turn
weakness to strength
Dimas, Buehler, Bioinspiration & Biomimetics, 2012.
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Engineering impact: Bioinspired materials; i.e. define
properties, geometry etc. of materials other than
protein, e.g. metal-polymers by applying scaling laws:
Use silica (sand), clay, and soy beans transformed to
create high tech materials
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M. Buehler, Nature Nanotechnology, 2010; Nano Today, 2010
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