periodic changes
521-525
2015-07-01
strings
thermoelasticity
exact analytical solution
time
article
hyperbolic heat conduction equation
process
formula
character
articles
process of change
temperature gradient
boundary problem
conduction equation
dynamic thermoelasticity
analytical solution
end
kinks
Fourier's law
space
plate
conditions
equations
https://doi.org/10.1134/s0018151x15030116
gradient
relaxation
first kind
heat flow relaxation
flow relaxation
2015-07
signs
basis
form
infinite plate
kind
heat conduction equation
https://scigraph.springernature.com/explorer/license/
problem
sustained character
changes
boundary conditions
variables
symmetric boundary conditions
stress
solution
law
Using the hyperbolic heat conduction equation found from the condition of heat flow relaxation and the temperature gradient in the formula of the Fourier law, an exact analytical solution of the boundary problem of dynamic thermoelasticity for an infinite plate with symmetric boundary conditions of the first kind is obtained. It is shown that stresses change discontinuously in time with a periodic change in their sign at every point of the space. Under a sustained character, the process of changes in stresses occurs in the form of a string fixed at both ends and having kinks (stress jumps) moving along the spatial variable in time.
2022-01-01T18:39
spatial variables
false
point
Problems of dynamic thermoelasticity on the basis of an analytical solution of the hyperbolic heat conduction equation
en
Physical Sciences
dimensions_id
pub.1006676361
doi
10.1134/s0018151x15030116
Kudinov
V. A.
Atomic, Molecular, Nuclear, Particle and Plasma Physics
Samara State Technical University, Samara, Russia
Samara State Technical University, Samara, Russia
I. V.
Kudinov
53
Springer Nature - SN SciGraph project
0040-3644
Pleiades Publishing
0018-151X
High Temperature
4