mirror of https://github.com/lammps/lammps.git
Merge pull request #3462 from akohlmey/pdlammps-howto
Add peridynamics howto document
This commit is contained in:
commit
afc35aa7b0
|
@ -85,6 +85,7 @@ Packages howto
|
|||
Howto_coreshell
|
||||
Howto_drude
|
||||
Howto_drude2
|
||||
Howto_peri
|
||||
Howto_manifold
|
||||
Howto_spins
|
||||
|
||||
|
|
File diff suppressed because it is too large
Load Diff
Binary file not shown.
After Width: | Height: | Size: 200 KiB |
Binary file not shown.
After Width: | Height: | Size: 144 KiB |
Binary file not shown.
After Width: | Height: | Size: 157 KiB |
Binary file not shown.
After Width: | Height: | Size: 494 KiB |
Binary file not shown.
After Width: | Height: | Size: 160 KiB |
Binary file not shown.
After Width: | Height: | Size: 2.5 MiB |
|
@ -2220,6 +2220,7 @@ Foster (UTSA).
|
|||
**Supporting info:**
|
||||
|
||||
* src/PERI: filenames -> commands
|
||||
* :doc:`Peridynamics Howto <Howto_peri>`
|
||||
* `doc/PDF/PDLammps_overview.pdf <PDF/PDLammps_overview.pdf>`_
|
||||
* `doc/PDF/PDLammps_EPS.pdf <PDF/PDLammps_EPS.pdf>`_
|
||||
* `doc/PDF/PDLammps_VES.pdf <PDF/PDLammps_VES.pdf>`_
|
||||
|
|
|
@ -32,10 +32,9 @@ The "damage" of a Peridynamics particles is based on the bond breakage
|
|||
between the particle and its neighbors. If all the bonds are broken
|
||||
the particle is considered to be fully damaged.
|
||||
|
||||
See the `PDLAMMPS user guide
|
||||
<https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_ for a
|
||||
formal definition of "damage" and more details about Peridynamics as it
|
||||
is implemented in LAMMPS.
|
||||
See the :doc:`Peridynamics Howto <Howto_peri>` for a formal definition
|
||||
of "damage" and more details about Peridynamics as it is implemented in
|
||||
LAMMPS.
|
||||
|
||||
This command can be used with all the Peridynamic pair styles.
|
||||
|
||||
|
|
|
@ -35,12 +35,12 @@ The dilatation :math:`\theta` for each peridynamic particle :math:`i` is
|
|||
calculated as a sum over its neighbors with unbroken bonds, where the
|
||||
contribution of the :math:`ij` pair is a function of the change in bond
|
||||
length (versus the initial length in the reference state), the volume
|
||||
fraction of the particles and an influence function. See the `PDLAMMPS
|
||||
user guide <https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_
|
||||
for a formal definition of dilatation.
|
||||
fraction of the particles and an influence function. See the
|
||||
:doc:`Peridynamics Howto <Howto_peri>` for a formal definition of
|
||||
dilatation.
|
||||
|
||||
This command can only be used with a subset of the Peridynamic
|
||||
:doc:`pair styles <pair_peri>`: peri/lps, peri/ves and peri/eps.
|
||||
:doc:`pair styles <pair_peri>`: *peri/lps*, *peri/ves*, and *peri/eps*.
|
||||
|
||||
The dilatation value will be 0.0 for atoms not in the specified
|
||||
compute group.
|
||||
|
|
|
@ -70,25 +70,24 @@ solid (EPS) model.
|
|||
The canonical papers on Peridynamics are :ref:`(Silling 2000)
|
||||
<Silling2000>` and :ref:`(Silling 2007) <Silling2007>`. The
|
||||
implementation of Peridynamics in LAMMPS is described in :ref:`(Parks)
|
||||
<Parks>`. Also see the `PDLAMMPS user guide
|
||||
<https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_ for more
|
||||
<Parks>`. Also see the :doc:`Peridynamics Howto <Howto_peri>` for more
|
||||
details about its implementation.
|
||||
|
||||
The peridynamic VES and EPS models in PDLAMMPS were implemented by
|
||||
R. Rahman and J. T. Foster at University of Texas at San Antonio. The
|
||||
original VES formulation is described in "(Mitchell2011)" and the
|
||||
original EPS formulation is in "(Mitchell2011a)". Additional PDF docs
|
||||
that describe the VES and EPS implementations are include in the
|
||||
LAMMPS distribution in `doc/PDF/PDLammps_VES.pdf <PDF/PDLammps_VES.pdf>`_ and
|
||||
that describe the VES and EPS implementations are include in the LAMMPS
|
||||
distribution in `doc/PDF/PDLammps_VES.pdf <PDF/PDLammps_VES.pdf>`_ and
|
||||
`doc/PDF/PDLammps_EPS.pdf <PDF/PDLammps_EPS.pdf>`_. For questions
|
||||
regarding the VES and EPS models in LAMMPS you can contact R. Rahman
|
||||
(rezwanur.rahman at utsa.edu).
|
||||
|
||||
The following coefficients must be defined for each pair of atom types
|
||||
via the :doc:`pair_coeff <pair_coeff>` command as in the examples above,
|
||||
or in the data file or restart files read by the
|
||||
:doc:`read_data <read_data>` or :doc:`read_restart <read_restart>`
|
||||
commands, or by mixing as described below.
|
||||
or in the data file or restart files read by the :doc:`read_data
|
||||
<read_data>` or :doc:`read_restart <read_restart>` commands, or by
|
||||
mixing as described below.
|
||||
|
||||
For the *peri/pmb* style:
|
||||
|
||||
|
@ -99,8 +98,8 @@ For the *peri/pmb* style:
|
|||
|
||||
C is the effectively a spring constant for Peridynamic bonds, the
|
||||
horizon is a cutoff distance for truncating interactions, and s00 and
|
||||
:math:`\alpha` are used as a bond breaking criteria. The units of c are such
|
||||
that c/distance = stiffness/volume\^2, where stiffness is
|
||||
:math:`\alpha` are used as a bond breaking criteria. The units of c are
|
||||
such that c/distance = stiffness/volume\^2, where stiffness is
|
||||
energy/distance\^2 and volume is distance\^3. See the users guide for
|
||||
more details.
|
||||
|
||||
|
@ -113,8 +112,8 @@ For the *peri/lps* style:
|
|||
* :math:`\alpha` (unitless)
|
||||
|
||||
K is the bulk modulus and G is the shear modulus. The horizon is a
|
||||
cutoff distance for truncating interactions, and s00 and :math:`\alpha` are
|
||||
used as a bond breaking criteria. See the users guide for more
|
||||
cutoff distance for truncating interactions, and s00 and :math:`\alpha`
|
||||
are used as a bond breaking criteria. See the users guide for more
|
||||
details.
|
||||
|
||||
For the *peri/ves* style:
|
||||
|
@ -128,12 +127,12 @@ For the *peri/ves* style:
|
|||
* m_taubi (unitless)
|
||||
|
||||
K is the bulk modulus and G is the shear modulus. The horizon is a
|
||||
cutoff distance for truncating interactions, and s00 and :math:`\alpha` are
|
||||
used as a bond breaking criteria. m_lambdai and m_taubi are the
|
||||
cutoff distance for truncating interactions, and s00 and :math:`\alpha`
|
||||
are used as a bond breaking criteria. m_lambdai and m_taubi are the
|
||||
viscoelastic relaxation parameter and time constant,
|
||||
respectively. m_lambdai varies within zero to one. For very small
|
||||
values of m_lambdai the viscoelastic model responds very similar to a
|
||||
linear elastic model. For details please see the description in
|
||||
respectively. m_lambdai varies within zero to one. For very small values
|
||||
of m_lambdai the viscoelastic model responds very similar to a linear
|
||||
elastic model. For details please see the description in
|
||||
"(Mitchell2011)".
|
||||
|
||||
For the *peri/eps* style:
|
||||
|
|
|
@ -1,3 +1,11 @@
|
|||
.math {
|
||||
text-align: left;
|
||||
}
|
||||
|
||||
.eqno {
|
||||
float: right;
|
||||
}
|
||||
|
||||
.wy-nav-content {
|
||||
max-width: 100% !important;
|
||||
}
|
||||
|
|
|
@ -747,6 +747,7 @@ dirname
|
|||
discoverable
|
||||
discretization
|
||||
discretized
|
||||
discretizing
|
||||
disp
|
||||
dissipative
|
||||
Dissipative
|
||||
|
@ -915,6 +916,7 @@ emax
|
|||
Emax
|
||||
Embt
|
||||
emi
|
||||
Emmrich
|
||||
emol
|
||||
eN
|
||||
endian
|
||||
|
@ -2124,6 +2126,7 @@ modelled
|
|||
modelling
|
||||
Modelling
|
||||
Modine
|
||||
moduli
|
||||
mofff
|
||||
MOFFF
|
||||
Mohd
|
||||
|
@ -2139,6 +2142,7 @@ Monaghan
|
|||
Monaghans
|
||||
monodisperse
|
||||
monodispersity
|
||||
monolayer
|
||||
monopole
|
||||
monovalent
|
||||
Montalenti
|
||||
|
@ -2414,6 +2418,7 @@ normy
|
|||
normz
|
||||
Noskov
|
||||
noslip
|
||||
notational
|
||||
noticable
|
||||
Nout
|
||||
noutcol
|
||||
|
@ -2774,6 +2779,7 @@ ps
|
|||
Ps
|
||||
pscreen
|
||||
pscrozi
|
||||
Pseudocode
|
||||
pseudodynamics
|
||||
pseudopotential
|
||||
pSp
|
||||
|
@ -3133,6 +3139,7 @@ sectoring
|
|||
sed
|
||||
segmental
|
||||
Seifert
|
||||
Seleson
|
||||
sellerio
|
||||
Sellerio
|
||||
Semaev
|
||||
|
@ -3211,7 +3218,7 @@ slategray
|
|||
slater
|
||||
Slepoy
|
||||
Sliozberg
|
||||
sLLG
|
||||
sLL
|
||||
sllod
|
||||
sm
|
||||
smallbig
|
||||
|
@ -3622,6 +3629,7 @@ unsmoothed
|
|||
unsolvated
|
||||
unsplit
|
||||
unstrained
|
||||
unstretched
|
||||
untar
|
||||
untilted
|
||||
Unwin
|
||||
|
|
Loading…
Reference in New Issue