def test_by_hand(): import numpy from math import cos, sin, radians load = numpy.array([1,0,0]) angle = 30 tet = radians(float(angle)) my_layer = Layer(2,angle) my_layer.compute_all() off_strain_fast = my_layer.S_off.dot(load) #On-axis stress on_stress_auto = transform_stress(load, 'off',angle) m = cos(tet) n = sin(tet) sigma_x = m**2*load[0] + n**2*load[1] + 2*m*n*load[2] sigma_y = n**2*load[0] + m**2*load[1] -2*m*n*load[2] sigma_s = -m*n*load[0] + m*n*load[1]+(m**2 - n**2)*load[2] sigma_on = numpy.array([sigma_x, sigma_y, sigma_s]) array_assert(sigma_on,on_stress_auto) #On-axis strain on_strain_auto = my_layer.S_on.dot(on_stress_auto) ex = my_layer.PROPS['ex'] ey = my_layer.PROPS['ey'] es = my_layer.PROPS['es'] nuy = my_layer.PROPS['nuy'] nux = my_layer.PROPS['nux'] epsx = sigma_on[0]/ex + sigma_on[1]*(-nuy)/ey epsy = sigma_on[0]*(-nux)/ex + sigma_on[1]/ey epss = + sigma_on[2]/es eps_on = numpy.array([epsx,epsy,epss]) array_assert(eps_on,on_strain_auto) print eps_on print on_strain_auto #Off-axis strain off_strain_auto = transform_strain(on_strain_auto,'on',angle) m = cos(-tet) n = sin(-tet) eps1 = m**2*epsx+n**2*epsy+m*n*epss eps2 = n**2*epsx+m**2*epsy-m*n*epss eps6 = -2*m*n*epsx + 2*m*n*epsy + (m**2-n**2)*epss eps_off = numpy.array([eps1,eps2,eps6]) print eps_off print off_strain_auto array_assert(eps_off,off_strain_auto) #Long auto vs short auto print off_strain_auto print off_strain_fast array_assert(off_strain_auto,off_strain_fast)
def test_off_stress_to_off_strain(): off_stress = numpy.array([10,20,30]) #input angle = 40 my_layer = Layer(2,angle) my_layer.compute_all() off_strain_fast = my_layer.S_off.dot(off_stress) on_stress = transform_stress(off_stress,'off',angle) on_strain = my_layer.S_on.dot(on_stress) off_strain = transform_strain(on_strain,'on',angle) array_assert(off_strain,off_strain_fast)
def test_stress_ninety(): on_axis = numpy.array([200,200,100],dtype=float) off_axis = transform_stress(on_axis,'on',90) off_axis[2] *= -1 array_assert(on_axis, off_axis)
def test_stress_zero(): on_axis = numpy.array([420,-165,-135]) off_axis = transform_stress(on_axis,'on',0) array_assert(off_axis, on_axis)
def test_stress_on_to_off_to_on(): on_axis_og = [420,-165,-135] off_axis = transform_stress(on_axis_og,'on','45.3') on_axis = transform_stress(off_axis,'off','45.3') array_assert(on_axis_og,on_axis)
def test_stress_ninety(): on_axis = numpy.array([200, 200, 100], dtype=float) off_axis = transform_stress(on_axis, 'on', 90) off_axis[2] *= -1 array_assert(on_axis, off_axis)
def test_stress_zero(): on_axis = numpy.array([420, -165, -135]) off_axis = transform_stress(on_axis, 'on', 0) array_assert(off_axis, on_axis)
def test_stress_on_to_off_to_on(): on_axis_og = [420, -165, -135] off_axis = transform_stress(on_axis_og, 'on', '45.3') on_axis = transform_stress(off_axis, 'off', '45.3') array_assert(on_axis_og, on_axis)