Determine the cyclic variation of stresses and strains for a two-bar
assembly loaded axially by a constant mechanical load and a cyclic thermal load of ± 100
°C.

A mechanical load (P) = 15 N is applied to the rigid bar. A cyclic
thermal load is applied to Bar 1 as shown.

File Name
|
Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\NAFEMS_NL2A.SLDASM.
|
Study Type
|
Nonlinear static with large strain and large displacement
formulations
|
Mesh Size
|
Use standard mesh with a global element size of 0.577 mm.
|
Material Properties
|
Bar 1 and Bar 2
Model Type:
Plasticity - von Mises
Material
Property |
Value |
Elasticity modulus (E) |
10000 MPa |
Poisson's ratio (ν) |
0 |
Yield stress (σy) |
10 MPa |
Tangent modulus |
1000 MPa |
Coefficient of thermal expansion |
1 x 10-5
/K |
Hardening factor |
1 |
|
Rigid Bar
- Elastic Modulus (E) = 1 x
108 MPa
- Poisson's ratio (ν) =
0
The rigid bar is assigned stiffer material properties to
simulate the behavior of a rigid body.
|
Results
Plot the cyclic variation of stress component SX for Bar
1.
X-axis shows half cycles (pseudo time in sec) and Y-axis shows
stress in MPa.

Plot the cyclic
variation of stress component SX for Bar 2.
X-axis shows half cycles
(pseudo time in sec) and Y-axis shows stress in MPa.

Obtain the strain component at selected cycles.
Half-Cycle |
Mechanical
Strain (x10-4)
(Total Strain - Thermal Strain)
|
Bar 1 |
Bar 2 |
Reference |
SOLIDWORKS Simulation |
Reference |
SOLIDWORKS Simulation |
0 |
7.500 |
7.598 |
7.500 |
7.402 |
2 |
8.264 |
8.395 |
18.264 |
18.675 |
4 |
13.797 |
14.095 |
23.797 |
24.285 |
6 |
17.500 |
17.815 |
27.500 |
27.975 |
8 |
19.980 |
20.275 |
29.980 |
30.415 |
10 |
21.639 |
21.895 |
31.639 |
32.015 |
Reference
NAFEMS Publication R0026, The International
Association for the Engineering Analysis Community, “Selected Benchmarks
for Material Non-Linearity”,
1993.