Lakes lecture
Adv 0, 1, 2
Piezo
title
dino masto M
ν range
tensors or atoms
elements
observed
ν < 0
NYT,
Chi
RUS
dyn bend
InSn
1
Hierarchy
0 1 2 3 4 5 6 Maxw
Lattices:
octahedral tubular
Viscoelasticity
model
exponential
think log
δ
demo
Stiff loss
bounds
Ezekiel
map
structure
shape
stiff phase
hierarchy
FEM
2
SiCInSn
2
SiCZnAl
hiα
1,
1a,
2,
3,
4b,
4,
5,
6,
7,
8,
9
Neg. stiff
Voigt
sigmoid
lumped
snap
ring
proof
δ < 0
hi δ
Reuss
exp theory
ν stable
PRL
Milton map
thermo pio
prove
Moses
stars
2
Landau
BVS
VO2-Sn
evolution
B < 0 δ
B<0 stable
B<0 foam
>diamond
BaTiO3
2
60oC
KNb
1
2
Zr sigmoid
BaZr matrix
ZnAl matrix
Piezo
theory,
BaTiZr
Flux
Coupled, flux
Stiffness
piezo
Non-reciprocal
Generalized Elasticity
Freedom in materials
Composite Structure
Classical equations
Rationale 1, 2
Stress concentration
scf0,
scf1,
scf2
Cosserat equations
characteristic lengths
Nonlocal
Micromorphic
Micromorphic modes
Stress concentration comparison of theories
twist J,
twist
bend
interpret
Particulate composite is classical
Foam size effect,
dense, Ω
Bone size effect,
bovine
Bone elastic constants
Strain concentration reduction
Strain distribution
Corner element: why spill over
Corner element in continuum
Corner element in rubber
Corner element in foam
Corner notch PMMA
Corner notch foam
Warp in fibrous medium
cement lines in bone
Warp by theory 1
Warp by theory 2
Warp by theory 3
Warp Eq
Warp fringes by holography
Warp fringes by theory
Warp open cell foam
Warp rubber
Bend bulge
Bulge by holography
Open cell strong size effect
Neg. Poi. strong size effect
Experiment / theory
Chirality
Chiral inclusion
Chiral equations
Chiral stretching
Chiral 3D lattice
Chiral size effects
Chiral torsion
Chiral gyroid
Chiral Chiral squeeze twist PRL
Chiral positive Poisson
Chiral negative Poisson
Cosserat Tetragonal ν < 0
giant size effects torsion
Lattice strong size effect, PRL
Tilt cube Poisson, strong Cosserat
Flex tilt cube structure
Flex tilt cube Cosserat plot
Tilt squares Poisson
tilt
Tilt squares Poisson
unimode
Piezo links
Conclusion
2
isthmus
2
feeding
axioms
Evolution II
Evolution III
top