Applied Mathematics and Mechanics,
Journal Year:
2024,
Volume and Issue:
45(11), P. 1929 - 1948
Published: Oct. 17, 2024
Abstract
The
spatiotemporally-nonlocal
phenomena
in
heat
conduction
become
significant
but
challenging
for
metamaterials
with
artificial
microstructures.
However,
the
microstructure-dependent
are
captured
under
hypothesis
of
spatiotemporally
local
equilibrium.
To
capture
phenomena,
a
generalized
nonlocal
irreversible
thermodynamics
is
proposed
by
removing
both
temporally-local
and
spatially-local
equilibrium
hypotheses
from
classical
thermodynamics.
has
intrinsic
length
time
parameters
thus
can
provide
basis
law
conduction.
remove
hypothesis,
entropy
assumed
to
depend
not
only
on
internal
energy
also
its
first-order
high-order
derivatives.
spatially
flux
field
dissipation
function
relate
force
at
reference
point
neighboring
points.
With
developed
theoretical
framework,
thermodynamics-consistent
models
then
be
transfer
problems.
Two
examples
provided
illustrate
applications
steady-state
transient
