76 research outputs found
Lateral response of a layered material with interlayer friction
We investigate the mechanical properties of a layered material with
interlayer friction. We propose a model that contains lateral elasticity and
interlayer friction to obtain the response function both in the Fourier and
real spaces. By investigating how the internal deformation is laterally induced
due to the applied surface displacement, we find that it is transmitted into
the material with an apparent phase difference. We also obtain the effective
complex modulus of the layered material and show that it exhibits an
intermediate power-law behavior in the low-frequency regime. Our result can be
used to estimate the internal deformation of layered materials that exist on
various different scales
Onsager's variational principle for nonreciprocal systems with odd elasticity
Using Onsager's variational principle, we derive dynamical equations for a
nonequilibrium active system with odd elasticity. The elimination of the extra
variable that is coupled to the nonequilibrium driving force leads to the
nonreciprocal set of equations for the material coordinates. The obtained
nonreciprocal equations manifest the physical origin of the odd elastic
constants that are proportional to the nonequilibrium force and the friction
coefficients. Our approach offers a systematic and consistent way to derive
nonreciprocal equations for active matter in which the time-reversal symmetry
is broken
Autonomous elastic microswimmer
A model of an autonomous three-sphere microswimmer is proposed by
implementing a coupling effect between the two natural lengths of an elastic
microswimmer. Such a coupling mechanism is motivated by the previous models for
synchronization phenomena in coupled oscillator systems. We numerically show
that a microswimmer can acquire a nonzero steady state velocity and a finite
phase difference between the oscillations in the natural lengths. These
velocity and phase difference are almost independent of the initial phase
difference. There is a finite range of the coupling parameter for which a
microswimmer can have an autonomous directed motion. The stability of the phase
difference is investigated both numerically and analytically in order to
determine its bifurcation structure
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