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Cylindrical Shell

Steel (e-module 210000 MN/m2,  rho 7.85 Mg/m3, ny 0.3), length 1.00 m, radius 7.96 cm (circumference 0.50 m), thickness 2 mm, initial-values: 'hammer blow' with vr= -1e-4 m/s in local region, results after ca.  83 micro-seconds

(click the images to blow up)

ur vr uz vz uw vw az oz aw ow nzz nww nzw qz qw mzz mww mzw szz_i sww_i szw_i szz_o sww_o szw_o s1_i s2_i st_i s1_o s2_o st_o

ur  (radial deflection)

vr  (radial velocity)

uz  (z displacement in direction of axis)

vz  (z velocity in direction of axis)

uw (w displacement in direction of circumference)

vw (w velocity in direction of circumference)

az (z bending slope, vector komponent in z direction)

oz (z bending angular velocity, vector komponent in z direction)

aw (w bending slope, vector komponent in w direction)

ow (w bending angular velocity, vector komponent in w direction)

nzz (zz normal force)

nww (ww normal force)

nzw (zw shear force)

qz (z transverse force)

qw (w transverse force)

mzz (zz bending moment with positive zz normal stress at outer surface)

mww (ww bending moment with positive ww normal stress at outer surface)

mzw (zw twisting moment with positive zw shear stress at outer surface)

szz_i (zz normal stress at inner surface)

sww_i (ww normal stress at inner surface)

szw_i (zw shear stress at inner surface)

szz_o (zz normal stress at outer surface)

sww_o (ww normal stress at outer surface)

szw_o (zw shear stress at outer surface)

s1_i (main normal stress 1 at inner surface)

s2_i (main normal stress 2 at inner surface)

st_i (main shear stress at inner surface)

s1_o (main normal stress 1 at outer surface)

s2_o (main normal stress 2 at outer surface)

st_o (main shear stress at outer surface)

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