VMR031-T2

VMR031-T2
Wrapped Thick Cylinder under Pressure and Thermal Loading

Test Description

A long thick cylinder made from isotropic material onto which external hoop windings of orthotropic material have been added is subjected to two cases:

Case 1: Internal pressure of 200MPa

Case 2: Internal pressure of 200MPa and a uniform increase in temperature of 130ºC

A quarter model is considered.

Material Properties

Geometric Properties

Boundary conditions

Loaading

Inner Cylinder (isotropic):

E= 2.1E5MPa

ʋ= 0.3

α=2E-5ºC^-1

Outer Cylinder (orthotropic):

E₁=1.3E5MPa

E₂=5.0E3MPa

ʋ₁₂=0.25

G₁₂=1.0E4MPa

G₃₃=5.0E3MPa

α₁=3E-6ºC^-1

α₂=2E-5ºC^-1

Inner Cylinder:

Inner radius=23mm

Outer radius=25mm

Outer Cylinder:

Inner radius=25mm

Outer radius=27mm

u_z=0 at z=0

Symmetric constraints are specified at lines 3 and 1 because a quarter symmetry model is considered.

Case 1: internal pressure of 200MPa

Case 2: Internal pressure of 200MPa and a uniform in crease in temperature of 130ºC

Results Comparison

Results are tabulated and displayed as in the NAFEMS manual.

	Hoop stress	Mechanical APDL	Ratio	Test
Case 1	Inner cylinder at r = 23 mm	1531.227	0.978	vmr031-t2-281
	Inner cylinder at r = 25 mm	1437.434	1.005	vmr031-t2-281
	Outer cylinder at r = 25 mm	861.226	0.985	vmr031-t2-281
	Outer cylinder at r = 27 mm	781.121	1.029	vmr031-t2-281
Case 2	Inner cylinder at r = 23 mm	1372.696	0.994	vmr031-t2-281
	Inner cylinder at r = 25 mm	1258.668	0.999	vmr031-t2-281
	Outer cylinder at r = 23 mm	1045.695	0.990	vmr031-t2-281
	Outer cylinder at r = 23 mm	969.466	1.036	vmr031-t2-281

Element Mechanical APDL Ratio Test Input

vmr031-t2-281.dat