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Abstract
The present study considers a finite element analysis of elastic-plastic axi-symmetric hemispherical contact for a frictionless deformable sphere pressed by a rigid flat. The material of the sphere is modeled as elastic perfectly plastic. Analysis is carried out to study the effect of varying modulus of elasticity and sphere radius in wide range of dimensionless interference until the inception of plasticity as well as in plastic range. Results are compared with previous elastic-plastic models. It is found that materials with Young’s modulus to yield strength (E/Y) ratio less than and greater than 300 show strikingly different contact phenomena. The dependency of E on dimensionless interference at which the plastic region fully covers the surface is observed. However with different radius, finite element study exhibits similar elastic-plastic phenomena.
Highlights
The present study considers a finite element analysis of elastic-plastic axi-symmetric hemispherical contact for a frictionless deformable sphere pressed by a rigid flat
When E/Y ratio is less than 166.66, the fully plastic contact condition exists at a constant interference ratio of 54. They studied the variation of mean contact pressure (p/Y) as a function of dimensionless interference ratio and observed that materials having low yield strength produces results similar to the Kogut and Etsion (KE) model but pressure to yield strength ratio (p/Y) ratio never reaches 2.8
The results of the finite element model are presented for a variety of interferences
Summary
For calculating the critical interference, they used material yield strength (Y) directly in their expressions Their results show that the dimensionless mean contact pressure does not reach 2.8 for most of the yield strength values. Shankar and Mayuram (SM) [13] studied the evolution of elastic core and the plastic region within the asperity for different Y/E ratios They varied the yield strength from 250 N/mm to 2250 N/mm. When E/Y ratio is less than 166.66, the fully plastic contact condition exists at a constant interference ratio of 54 They studied the variation of mean contact pressure (p/Y) as a function of dimensionless interference ratio and observed that materials having low yield strength (i.e. when E/Y>300) produces results similar to the KE model but p/Y ratio never reaches 2.8. Analysis is carried out to study the effect of varying modulus of elasticity and sphere radius in wide range of dimensionless interference until the inception of plasticity as well as in plastic range
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