VM-WB-MECH-004

VM-WB-MECH-004
Viscoplastic Analysis of a Body (Shear Deformation)

Overview

Reference:

Lwo, B., & Eggert, G. M. (1991). An Implicit Stress Update Algorithm Using a Plastic Predictor. Submitted to Computer Methods in Applied Mechanics and Engineering..

Solver(s) Ansys Mechanical
Analysis Type(s): Nonlinear Structural Analysis
Element Type(s): Solid

Test Case

A cubic shaped body made up of a viscoplastic material obeying Anand's law undergoes uniaxial shear deformation at a constant rate of 0.01 cm/s. The temperature of the body is maintained at 400°C. Find the shear load (Fx) required to maintain the deformation rate of 0.01 cm/sec at time equal to 20 seconds.

Figure 4: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
Ex (Young's Modulus) = 60.6 GPa
(Poisson's Ratio) = 0.4999
So = 29.7 MPa
Q/R = 21.08999E3 K
A = 1.91E7 s-1
= 7.0
m = 0.23348
ho = 1115.6 MPa
 = 18.92 MPa
= 0.07049
a = 1.3
h = 1 cm
thickness = 1 cm
Temp = 400°C = 673°K
Velocity (x-direction) = 0.01 cm/sec @ y = 1 cm
Time = 20 sec

Results Comparison

ResultsTargetMechanicalError (%)
Fx, N-845.00-791.76-6.3