VMR049-CR5

VMR049-CR5
Torsional Creep of Square Shaft

Test Description

A block of length L₁, height L₂, and thickness L₃is rotated about the Z axis by β.

Geometric Properties

Material Properties

L₁ = 1 mm

L₂ = 2 mm

L₃ = 0.2 mm

Angle of Rotation: β = 0.01 radians per unit length

Boundary Conditions

Back Face: u_x = 0, u_y = 0

Bottom Face and Left Face: u_z = unknown (multi-point constraints)

u_z = 0 at location (0,0,0), (L₁,0,0), and (0,L₂,0)

E = 10.0 N/mm²

ν = 0.3

Creep Law: dε/dt = Aσⁿt^m

A = 1.0E4 (t in hours, σ in N/mm²)

n = 5

m = -0.5

No applied forces

Note: Front face and mid-plane, located at half the thickness, are rotated by an angle β. All nodes on the front face and mid-plane have u_x = -rβLsinθ and u_y = rβLsinθ, where L = 0.2 mm for the front face and L = 0.1 mm for the mid-plane. θ = angle measured anticlockwise from the X axis.

Results

Reference: Shear stress values in YZ-direction for constant twist are displayed with respect to time.


             |   MAPDL   |   RATIO  |         INPUT         |
  
  SOLID185
  SYZ2          0.0141       0.9884     vmr049-cr5-185 
  SOLID186
  SYZ2          0.0143       1.0000     vmr049-cr5-186 
  SOLID187
  SYZ2          0.0141       0.9852     vmr049-cr5-187 
  
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vmr049-cr5-185.dat

vmr049-cr5-186.dat

vmr049-cr5-187.dat