update broken URLs
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@ -32,12 +32,10 @@ The "damage" of a Peridynamics particles is based on the bond breakage
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between the particle and its neighbors. If all the bonds are broken
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the particle is considered to be fully damaged.
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.. TODO the link below is broken
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See the `PDLAMMPS user guide
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<http://www.sandia.gov/~mlparks/papers/PDLAMMPS.pdf>`_ for a formal
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definition of "damage" and more details about Peridynamics as it is
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implemented in LAMMPS.
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<https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_ for a
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formal definition of "damage" and more details about Peridynamics as it
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is implemented in LAMMPS.
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This command can be used with all the Peridynamic pair styles.
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@ -31,15 +31,13 @@ for an overview of LAMMPS commands for Peridynamics modeling.
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For small deformation, dilatation of is the measure of the volumetric
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strain.
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.. TODO the link below is broken
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The dilatation :math:`\theta` for each peridynamic particle :math:`i` is
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calculated as a sum over its neighbors with unbroken bonds, where the
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contribution of the :math:`ij` pair is a function of the change in bond length
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(versus the initial length in the reference state), the volume
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fraction of the particles and an influence function. See the
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`PDLAMMPS user guide <http://www.sandia.gov/~mlparks/papers/PDLAMMPS.pdf>`_ for
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a formal definition of dilatation.
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contribution of the :math:`ij` pair is a function of the change in bond
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length (versus the initial length in the reference state), the volume
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fraction of the particles and an influence function. See the `PDLAMMPS
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user guide <https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_
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for a formal definition of dilatation.
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This command can only be used with a subset of the Peridynamic
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:doc:`pair styles <pair_peri>`: peri/lps, peri/ves and peri/eps.
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@ -114,7 +114,7 @@ Description
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"""""""""""
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These pair styles are designed to be used with the adiabatic
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core/shell model of :ref:`(Mitchell and Fincham) <MitchellFincham2>`. See
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core/shell model of :ref:`(Mitchell and Fincham) <MitchellFincham3>`. See
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the :doc:`Howto coreshell <Howto_coreshell>` page for an overview of
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the model as implemented in LAMMPS.
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@ -196,7 +196,7 @@ none
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----------
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.. _MitchellFincham2:
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.. _MitchellFincham3:
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**(Mitchell and Fincham)** Mitchell, Fincham, J Phys Condensed Matter,
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5, 1031-1038 (1993).
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@ -423,12 +423,8 @@ none
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.. _Gullet:
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**(Gullet)** Gullet, Wagner, Slepoy, SANDIA Report 2003-8782 (2003).
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This report may be accessed on-line via `this link <sandreport_>`_.
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.. TODO the following URL is not accessible
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.. _sandreport: http://infoserve.sandia.gov/sand_doc/2003/038782.pdf
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**(Gullet)** Gullet, Wagner, Slepoy, SANDIA Report 2003-8782 (2003). DOI:10.2172/918395
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This report may be accessed on-line via `this link <https://download.lammps.org/pdfs/MEAM_report_2003.pdf>`_.
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.. _Lee:
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@ -51,8 +51,9 @@ Description
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"""""""""""
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The peridynamic pair styles implement material models that can be used
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at the mesoscopic and macroscopic scales. See `this document <PDF/PDLammps_overview.pdf>`_ for an overview of LAMMPS commands
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for Peridynamics modeling.
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at the mesoscopic and macroscopic scales. See `this document
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<PDF/PDLammps_overview.pdf>`_ for an overview of LAMMPS commands for
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Peridynamics modeling.
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Style *peri/pmb* implements the Peridynamic bond-based prototype
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microelastic brittle (PMB) model.
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@ -66,14 +67,12 @@ peridynamic viscoelastic solid (VES) model.
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Style *peri/eps* implements the Peridynamic state-based elastic-plastic
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solid (EPS) model.
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.. TODO the following URL is not valid
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The canonical papers on Peridynamics are :ref:`(Silling 2000)
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<Silling2000>` and :ref:`(Silling 2007) <Silling2007>`. The
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implementation of Peridynamics in LAMMPS is described in :ref:`(Parks)
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<Parks>`. Also see the `PDLAMMPS user guide
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<http://www.sandia.gov/~mlparks/papers/PDLAMMPS.pdf>`_ for more details
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about its implementation.
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<https://download.lammps.org/pdfs/PDLAMMPS_user_guide.pdf>`_ for more
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details about its implementation.
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The peridynamic VES and EPS models in PDLAMMPS were implemented by
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R. Rahman and J. T. Foster at University of Texas at San Antonio. The
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@ -169,8 +168,9 @@ shift option.
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The :doc:`pair_modify <pair_modify>` table and tail options are not
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relevant for these pair styles.
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These pair styles write their information to :doc:`binary restart files <restart>`, so pair_style and pair_coeff commands do not need
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to be specified in an input script that reads a restart file.
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These pair styles write their information to :doc:`binary restart files
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<restart>`, so pair_style and pair_coeff commands do not need to be
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specified in an input script that reads a restart file.
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These pair styles can only be used via the *pair* keyword of the
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:doc:`run_style respa <run_style>` command. They do not support the
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@ -181,8 +181,9 @@ These pair styles can only be used via the *pair* keyword of the
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Restrictions
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""""""""""""
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All of these styles are part of the PERI package. They are only
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enabled if LAMMPS was built with that package. See the :doc:`Build package <Build_package>` page for more info.
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All of these styles are part of the PERI package. They are only enabled
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if LAMMPS was built with that package. See the :doc:`Build package
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<Build_package>` page for more info.
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Related commands
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""""""""""""""""
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