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<div class="section" id="pair-style-peri-pmb-command">
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<span id="index-0"></span><h1>pair_style peri/pmb command<a class="headerlink" href="#pair-style-peri-pmb-command" title="Permalink to this headline">¶</a></h1>
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</div>
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<div class="section" id="pair-style-peri-pmb-omp-command">
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<h1>pair_style peri/pmb/omp command<a class="headerlink" href="#pair-style-peri-pmb-omp-command" title="Permalink to this headline">¶</a></h1>
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</div>
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<div class="section" id="pair-style-peri-lps-command">
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<h1>pair_style peri/lps command<a class="headerlink" href="#pair-style-peri-lps-command" title="Permalink to this headline">¶</a></h1>
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</div>
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<div class="section" id="pair-style-peri-lps-omp-command">
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<h1>pair_style peri/lps/omp command<a class="headerlink" href="#pair-style-peri-lps-omp-command" title="Permalink to this headline">¶</a></h1>
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</div>
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<div class="section" id="pair-style-peri-ves-command">
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<h1>pair_style peri/ves command<a class="headerlink" href="#pair-style-peri-ves-command" title="Permalink to this headline">¶</a></h1>
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</div>
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<div class="section" id="pair-style-peri-eps-command">
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<h1>pair_style peri/eps command<a class="headerlink" href="#pair-style-peri-eps-command" title="Permalink to this headline">¶</a></h1>
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<div class="section" id="syntax">
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<h2>Syntax<a class="headerlink" href="#syntax" title="Permalink to this headline">¶</a></h2>
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<div class="highlight-python"><div class="highlight"><pre>pair_style style
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</pre></div>
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</div>
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<ul class="simple">
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<li>style = <em>peri/pmb</em> or <em>peri/lps</em> or <em>peri/ves</em> or <em>peri/eps</em></li>
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</ul>
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</div>
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<div class="section" id="examples">
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<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline">¶</a></h2>
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<div class="highlight-python"><div class="highlight"><pre>pair_style peri/pmb
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pair_coeff * * 1.6863e22 0.0015001 0.0005 0.25
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</pre></div>
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</div>
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<div class="highlight-python"><div class="highlight"><pre>pair_style peri/lps
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pair_coeff * * 14.9e9 14.9e9 0.0015001 0.0005 0.25
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</pre></div>
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</div>
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<div class="highlight-python"><div class="highlight"><pre>pair_style peri/ves
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pair_coeff * * 14.9e9 14.9e9 0.0015001 0.0005 0.25 0.5 0.001
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</pre></div>
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</div>
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<div class="highlight-python"><div class="highlight"><pre>pair_style peri/eps
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pair_coeff * * 14.9e9 14.9e9 0.0015001 0.0005 0.25 118.43
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</pre></div>
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</div>
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</div>
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<div class="section" id="description">
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<h2>Description<a class="headerlink" href="#description" title="Permalink to this headline">¶</a></h2>
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<p>The peridynamic pair styles implement material models that can be used
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at the mescscopic and macroscopic scales. See <a class="reference external" href="PDF/PDLammps_overview.pdf">this document</a> for an overview of LAMMPS commands
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for Peridynamics modeling.</p>
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<p>Style <em>peri/pmb</em> implements the Peridynamic bond-based prototype
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microelastic brittle (PMB) model.</p>
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<p>Style <em>peri/lps</em> implements the Peridynamic state-based linear
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peridynamic solid (LPS) model.</p>
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<p>Style <em>peri/ves</em> implements the Peridynamic state-based linear
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peridynamic viscoelastic solid (VES) model.</p>
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<p>Style <em>peri/eps</em> implements the Peridynamic state-based elastic-plastic
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solid (EPS) model.</p>
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<p>The canonical papers on Peridynamics are <a class="reference internal" href="#silling2000"><span>(Silling 2000)</span></a>
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and <a class="reference internal" href="#silling2007"><span>(Silling 2007)</span></a>. The implementation of Peridynamics
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in LAMMPS is described in <a class="reference internal" href="#parks"><span>(Parks)</span></a>. Also see the <a class="reference external" href="http://www.sandia.gov/~mlparks/papers/PDLAMMPS.pdf">PDLAMMPS user guide</a> for
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more details about its implementation.</p>
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<p>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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original VES formulation is described in “(Mitchell2011)” and the
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original EPS formulation is in “(Mitchell2011a)”. Additional PDF docs
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that describe the VES and EPS implementations are include in the
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LAMMPS distro in <a class="reference external" href="PDF/PDLammps_VES.pdf">doc/PDF/PDLammps_VES.pdf</a> and
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<a class="reference external" href="PDF/PDLammps_EPS.pdf">doc/PDF/PDLammps_EPS.pdf</a>. For questions
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regarding the VES and EPS models in LAMMPS you can contact R. Rahman
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(rezwanur.rahman at utsa.edu).</p>
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<p>The following coefficients must be defined for each pair of atom types
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via the <a class="reference internal" href="pair_coeff.html"><em>pair_coeff</em></a> command as in the examples above,
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or in the data file or restart files read by the
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<a class="reference internal" href="read_data.html"><em>read_data</em></a> or <a class="reference internal" href="read_restart.html"><em>read_restart</em></a>
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commands, or by mixing as described below.</p>
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<p>For the <em>peri/pmb</em> style:</p>
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<ul class="simple">
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<li>c (energy/distance/volume^2 units)</li>
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<li>horizon (distance units)</li>
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<li>s00 (unitless)</li>
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<li>alpha (unitless)</li>
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</ul>
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<p>C is the effectively a spring constant for Peridynamic bonds, the
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horizon is a cutoff distance for truncating interactions, and s00 and
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alpha are used as a bond breaking criteria. The units of c are such
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that c/distance = stiffness/volume^2, where stiffness is
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energy/distance^2 and volume is distance^3. See the users guide for
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more details.</p>
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<p>For the <em>peri/lps</em> style:</p>
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<ul class="simple">
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<li>K (force/area units)</li>
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<li>G (force/area units)</li>
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<li>horizon (distance units)</li>
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<li>s00 (unitless)</li>
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<li>alpha (unitless)</li>
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</ul>
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<p>K is the bulk modulus and G is the shear modulus. The horizon is a
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cutoff distance for truncating interactions, and s00 and alpha are
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used as a bond breaking criteria. See the users guide for more
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details.</p>
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<p>For the <em>peri/ves</em> style:</p>
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<ul class="simple">
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<li>K (force/area units)</li>
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<li>G (force/area units)</li>
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<li>horizon (distance units)</li>
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<li>s00 (unitless)</li>
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<li>alpha (unitless)</li>
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<li>m_lambdai (unitless)</li>
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<li>m_taubi (unitless)</li>
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</ul>
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<p>K is the bulk modulus and G is the shear modulus. The horizon is a
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cutoff distance for truncating interactions, and s00 and alpha are
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used as a bond breaking criteria. m_lambdai and m_taubi are the
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viscoelastic relaxation parameter and time constant,
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respectively. m_lambdai varies within zero to one. For very small
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values of m_lambdai the viscoelsatic model responds very similar to a
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linear elastic model. For details please see the description in
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“(Mtchell2011)”.</p>
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<p>For the <em>peri/eps</em> style:</p>
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<p>K (force/area units)
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G (force/area units)
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horizon (distance units)
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s00 (unitless)
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alpha (unitless)
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m_yield_stress (force/area units)</p>
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<p>K is the bulk modulus and G is the shear modulus. The horizon is a
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cutoff distance and s00 and alpha are used as a bond breaking
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criteria. m_yield_stress is the yield stress of the material. For
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details please see the description in “(Mtchell2011a)”.</p>
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<hr class="docutils" />
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<p>Styles with a <em>cuda</em>, <em>gpu</em>, <em>intel</em>, <em>kk</em>, <em>omp</em>, or <em>opt</em> suffix are
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functionally the same as the corresponding style without the suffix.
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They have been optimized to run faster, depending on your available
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hardware, as discussed in <a class="reference internal" href="Section_accelerate.html"><em>Section_accelerate</em></a>
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of the manual. The accelerated styles take the same arguments and
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should produce the same results, except for round-off and precision
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issues.</p>
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<p>These accelerated styles are part of the USER-CUDA, GPU, USER-INTEL,
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KOKKOS, USER-OMP and OPT packages, respectively. They are only
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enabled if LAMMPS was built with those packages. See the <a class="reference internal" href="Section_start.html#start-3"><span>Making LAMMPS</span></a> section for more info.</p>
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<p>You can specify the accelerated styles explicitly in your input script
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by including their suffix, or you can use the <a class="reference internal" href="Section_start.html#start-7"><span>-suffix command-line switch</span></a> when you invoke LAMMPS, or you can
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use the <a class="reference internal" href="suffix.html"><em>suffix</em></a> command in your input script.</p>
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<p>See <a class="reference internal" href="Section_accelerate.html"><em>Section_accelerate</em></a> of the manual for
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more instructions on how to use the accelerated styles effectively.</p>
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<hr class="docutils" />
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<p><strong>Mixing, shift, table, tail correction, restart, rRESPA info</strong>:</p>
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<p>These pair styles do not support mixing. Thus, coefficients for all
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I,J pairs must be specified explicitly.</p>
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<p>These pair styles do not support the <a class="reference internal" href="pair_modify.html"><em>pair_modify</em></a>
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shift option.</p>
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<p>The <a class="reference internal" href="pair_modify.html"><em>pair_modify</em></a> table and tail options are not
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relevant for these pair styles.</p>
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<p>These pair styles write their information to <a class="reference internal" href="restart.html"><em>binary restart files</em></a>, 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.</p>
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<p>These pair styles can only be used via the <em>pair</em> keyword of the
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<a class="reference internal" href="run_style.html"><em>run_style respa</em></a> command. They do not support the
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<em>inner</em>, <em>middle</em>, <em>outer</em> keywords.</p>
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</div>
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<hr class="docutils" />
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<div class="section" id="restrictions">
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<h2>Restrictions<a class="headerlink" href="#restrictions" title="Permalink to this headline">¶</a></h2>
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<p>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 <a class="reference internal" href="Section_start.html#start-3"><span>Making LAMMPS</span></a> section for more info.</p>
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</div>
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<div class="section" id="related-commands">
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<h2>Related commands<a class="headerlink" href="#related-commands" title="Permalink to this headline">¶</a></h2>
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<p><a class="reference internal" href="pair_coeff.html"><em>pair_coeff</em></a></p>
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<p><strong>Default:</strong> none</p>
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<hr class="docutils" />
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<p id="parks"><strong>(Parks)</strong> Parks, Lehoucq, Plimpton, Silling, Comp Phys Comm, 179(11),
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777-783 (2008).</p>
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<p id="silling2000"><strong>(Silling 2000)</strong> Silling, J Mech Phys Solids, 48, 175-209 (2000).</p>
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<p id="silling2007"><strong>(Silling 2007)</strong> Silling, Epton, Weckner, Xu, Askari, J Elasticity,
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88, 151-184 (2007).</p>
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<p id="mitchell2011"><strong>(Mitchell2011)</strong> Mitchell. A non-local, ordinary-state-based
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viscoelasticity model for peridynamics. Sandia National Lab Report,
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8064:1-28 (2011).</p>
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<p id="mitchell2011a"><strong>(Mitchell2011a)</strong> Mitchell. A Nonlocal, Ordinary, State-Based
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Plasticity Model for Peridynamics. Sandia National Lab Report,
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3166:1-34 (2011).</p>
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</div>
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