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renchao.lu
ogs
Commits
fa11ff2f
Commit
fa11ff2f
authored
Feb 22, 2021
by
Dmitry Yu. Naumov
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[doc/TM] Drop unused tags documentation.
parent
2ac95d70
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_linear_thermal_expansion_coefficient.md
...HERMO_MECHANICS/t_linear_thermal_expansion_coefficient.md
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_reference_solid_density.md
...ses/process/THERMO_MECHANICS/t_reference_solid_density.md
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_specific_heat_capacity.md
...sses/process/THERMO_MECHANICS/t_specific_heat_capacity.md
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_thermal_conductivity.md
...cesses/process/THERMO_MECHANICS/t_thermal_conductivity.md
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_linear_thermal_expansion_coefficient.md
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2ac95d70
Linear expansion changes in one dimension.
\ No newline at end of file
Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_reference_solid_density.md
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Reference solid density
\f
$
\r
ho_{
\r
m SR0}
\f
$.
The real solid's density (the density of the solid grains) is expressed as:
\f
[
\r
ho_{
\r
m SR} =
\f
rac{
\r
ho_{
\r
m SR0}}{1 + 3
* \alpha_{\rm T} *
\D
elta T }
\f
]
under the assumption of mechanically incompressible solid.
The original Ansatz made is
\f
[
\r
ho_{
\r
m SR} =
\r
ho_{
\r
m SR0} {
\r
m exp} (-3
\a
lpha_{
\r
m T}
\D
elta T)
\f
] for large thermal strains. Once we linearize around
\f
$
\D
elta T = 0
\f
$ and truncate the Taylor series after the first member, the
end result is the above formula
\f
$
\r
ho_{
\r
m SR} =
\r
ho_{
\r
m SR0} / ( 1 + 3
\a
lpha_{
\r
m T}
\D
elta T)
\f
$. One can also arrive at the result by assuming a
linear volume strain from the start:
\f
$e = 3
\a
lpha_{
\r
m T}
\D
elta T
\f
$. The
key assumption is that the solid density is independent of pressure, _i.e._:
\f
$
\r
ho_{
\r
m SR} =
\r
ho_{
\r
m SR}(T)
\f
$.
Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_specific_heat_capacity.md
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2ac95d70
Specific heat capacity is the heat capacity per unit mass of a material.
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Documentation/ProjectFile/prj/processes/process/THERMO_MECHANICS/t_thermal_conductivity.md
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2ac95d70
Thermal conductivity is the property of a material to conduct heat.
\ No newline at end of file
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