linear_elasticity.py
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	# Copyright (C) 2018 by the RROMPy authors
	#
	# This file is part of RROMPy.
	#
	# RROMPy is free software: you can redistribute it and/or modify
	# it under the terms of the GNU Lesser General Public License as published by
	# the Free Software Foundation, either version 3 of the License, or
	# (at your option) any later version.
	#
	# RROMPy is distributed in the hope that it will be useful,
	# but WITHOUT ANY WARRANTY; without even the implied warranty of
	# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	# GNU Lesser General Public License for more details.
	#
	# You should have received a copy of the GNU Lesser General Public License
	# along with RROMPy. If not, see <http://www.gnu.org/licenses/>.
	#

	import numpy as np
	from rrompy.hfengines.vector_linear_problem import (
	LinearElasticityBeamPoissonRatio)
	from rod_3d import rod3Dsolver

	def test_elastic_beam():
	solver = LinearElasticityBeamPoissonRatio(n = 10, rho_ = 1e3, g = 3,
	E = 1e6, nu0 = .45, length = 5, verbosity = 0)
	mu = .45
	uh = solver.solve(mu)
	assert np.isclose(solver.norm(uh), 58.54349189072907, rtol = 1e-5)
	assert np.isclose(solver.norm(solver.residual(uh, mu)), 8.4545952e-13,
	rtol = 1e-1)

	def test_elastic_rod():
	solver = rod3Dsolver()
	uh = solver.solve()
	assert np.isclose(solver.norm(uh), 0.15563476339534466, rtol = 1e-5)
	assert np.isclose(solver.norm(solver.residual(uh)), 5.708389944e-08,
	rtol = 1e-1)