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AN ANALYTICAL APPROACH TO WEDGE ASPERITIES AND THEIR INFLUENCE ON FRICTIONAL LOADS OF STRUCTURAL SURFACES. CHRISTOPHER STUBBS FRICTION , WEAR, AND LUBRICATION OF MATERIALS RENSSELAER POLYTECHNIC INSTITUTE. PLOUGHING-INDUCED FRICTION CLOSE FORM SOLUTION.
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AN ANALYTICAL APPROACH TO WEDGE ASPERITIES AND THEIR INFLUENCE ON FRICTIONAL LOADS OF STRUCTURAL SURFACES CHRISTOPHER STUBBS FRICTION, WEAR, AND LUBRICATION OF MATERIALS RENSSELAER POLYTECHNIC INSTITUTE
PLOUGHING-INDUCED FRICTIONCLOSE FORM SOLUTION • From the free body diagram the following definitions can be made: • And: • Such that: • Furthermore, the analyses presented in this report all use a wedge asperity geometry with an angle of 60⁰, which results in the following close form solution:
MODELOVERVIEW • Elastic-perfectly-plastic material model • Hardness of the wedge is set to 1:1, 2:1, 3:1, and 4:1 • Quasi-Static Abaqus/Eplicit Model • Full contact • Wedge asperity driven 2.0” (2X the length of the asperity) over 1.0 seconds • Reaction loads taken from boundary conditioned nodes
RESULTS (4:1 WEDGE HARDNESS) 0.0” Penetration
RESULTS (4:1 WEDGE HARDNESS) 0.5” Penetration
RESULTS (4:1 WEDGE HARDNESS) 1.0” Penetration
RESULTS (4:1 WEDGE HARDNESS) 1.5” Penetration
RESULTS (4:1 WEDGE HARDNESS) 2.0” Penetration
CONCLUSIONS • As expected, as the relative hardness is increased, the closed-form solution becomes more representive. • For this analysis, once a hardness ratio of approximately 3:1 is obtained, the close-form solution in with 10% of the finite element solution.