VM229

VM229
Friction Heating of Sliding Block

Overview

Reference:P. Wiggers, C. Miehe, "Contact Constraints Within Coupled Thermomechanical Analysis - A Finite Element Model", Computer Methods in Applied Mechanics and Engineering, Vol. 113, 1994, pp. 301-319.
Analysis Type(s):Transient (ANTYPE = 4)
Element Type(s):
2D Coupled-Field Solid Elements (PLANE13)
2D Target Segment Elements (TARGE169)
2D 3-Node Surface-to-Surface Contact Elements (CONTA172)
2D 8-Node Coupled-Field Solid (PLANE223)
Input Listing: vm229.dat

Test Case

Consider a block sliding over another fixed block. Calculate the temperature changes caused by friction between the blocks.

Figure 380: Finite Element Model of Sliding Block

Finite Element Model of Sliding Block


Material PropertiesGeometric PropertiesLoading
E= 7000 Mpa
ρ = 2.7E-9 N s2/mm4
α = 23.86E-6 K-1
ν = 0.3
μ = 0.2
Kxx = 150 N/s K
C = 9E8 mm2/s2 K
Sliding Block:
Height = 1.25mm
Width = 1.25mm
Fixed Block:
Height = 1.25mm
Width = 5mm
Displacement = 3.75mm

Analysis Assumptions and Modeling Notes

In this test the two blocks are modeled using PLANE13 elements with CONTA172 elements placed on the bottom surface of the sliding block, and TARGE169 elements placed at the top surface of the fixed block. In the first load step, the sliding block moves 3.75 mm on the surface of the fixed block with an applied pressure of 10 N/mm2. The displacement of the sliding block occurs within a time period of 3.75 ms. Heat is generated by friction and is absorbed by the two blocks. To obtain the steady-state solution, a second load step with 100 time steps was performed with no loading at a duration of 1s. The calculated steady-state results were taken from the end of the final load step.

The same analysis is repeated using Lagrange Multipliers method (KEYOPT(2) = 3 -- Lagrange multiplier on contact normal and penalty on tangent) of CONTA172 elements.

Results Comparison

 TargetMechanical APDLRatio
PLANE13
Temp 1 (K)1.2351.23461.000
Temp 2 (K)0.3090.30860.999
With KEYOPT (2) = 3 of CONTA172
Temp 1 (K)1.23501.23461.000
Temp 2 (K)0.30900.30870.999
PLANE223
Temp 1 (K)1.23501.23491.000
Temp 2 (K)0.30900.30870.999

Figure 381: Temperature Change for Sliding Block with Friction

Temperature Change for Sliding Block with Friction