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dynamics.py
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Mon, Mar 24, 06:42

dynamics.py
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#!/usr/bin/env python3
""" dynamics.py: solid mechanics dynamics example"""
__author__ = "Guillaume Anciaux and Nicolas Richart"
__credits__ = [
"Guillaume Anciaux <guillaume.anciaux@epfl.ch>",
"Nicolas Richart <nicolas.richart@epfl.ch>",
]
__copyright__ = "Copyright (©) 2016-2021 EPFL (Ecole Polytechnique Fédérale" \
" de Lausanne) Laboratory (LSMS - Laboratoire de Simulation" \
" en Mécanique des Solides)"
__license__ = "LGPLv3"
import numpy as np
import akantu as aka
# -----------------------------------------------------------------------------
class MyFixedValue(aka.FixedValue):
def __init__(self, value, axis):
super().__init__(value, axis)
self.value = value
self.axis = int(axis)
def __call__(self, node, flags, disp, coord):
# sets the displacement to the desired value in the desired axis
disp[self.axis] = self.value
# sets the blocked dofs vector to true in the desired axis
flags[self.axis] = True
# -----------------------------------------------------------------------------
def main():
spatial_dimension = 2
mesh_file = 'bar.msh'
max_steps = 250
time_step = 1e-3
aka.parseInput('material.dat')
# -------------------------------------------------------------------------
# Initialization
# -------------------------------------------------------------------------
mesh = aka.Mesh(spatial_dimension)
mesh.read(mesh_file)
model = aka.SolidMechanicsModel(mesh)
model.initFull(_analysis_method=aka._explicit_lumped_mass)
# model.initFull(_analysis_method=aka._implicit_dynamic)
model.setBaseName("waves")
model.addDumpFieldVector("displacement")
model.addDumpFieldVector("acceleration")
model.addDumpFieldVector("velocity")
model.addDumpFieldVector("internal_force")
model.addDumpFieldVector("external_force")
model.addDumpField("strain")
model.addDumpField("stress")
model.addDumpField("blocked_dofs")
# -------------------------------------------------------------------------
# boundary conditions
# -------------------------------------------------------------------------
model.applyBC(MyFixedValue(0, aka._x), "XBlocked")
model.applyBC(MyFixedValue(0, aka._y), "YBlocked")
# -------------------------------------------------------------------------
# initial conditions
# -------------------------------------------------------------------------
displacement = model.getDisplacement()
nb_nodes = mesh.getNbNodes()
position = mesh.getNodes()
pulse_width = 1
A = 0.01
for i in range(0, nb_nodes):
# Sinus * Gaussian
x = position[i, 0] - 5.
L = pulse_width
k = 0.1 * 2 * np.pi * 3 / L
displacement[i, 0] = A * \
np.sin(k * x) * np.exp(-(k * x) * (k * x) / (L * L))
displacement[i, 1] = 0
# -------------------------------------------------------------------------
# timestep value computation
# -------------------------------------------------------------------------
time_factor = 0.8
stable_time_step = model.getStableTimeStep() * time_factor
print("Stable Time Step = {0}".format(stable_time_step))
print("Required Time Step = {0}".format(time_step))
time_step = stable_time_step * time_factor
model.setTimeStep(time_step)
# -------------------------------------------------------------------------
# loop for evolution of motion dynamics
# -------------------------------------------------------------------------
print("step,step * time_step,epot,ekin,epot + ekin")
for step in range(0, max_steps + 1):
model.solveStep()
if step % 10 == 0:
model.dump()
epot = model.getEnergy('potential')
ekin = model.getEnergy('kinetic')
# output energy calculation to screen
print("{0},{1},{2},{3},{4}".format(step, step * time_step,
epot, ekin,
(epot + ekin)))
return
# -----------------------------------------------------------------------------
if __name__ == "__main__":
main()

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