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research-article

Strain Hardening for Elastic-Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

[+] Author and Article Information
Hamid Ghaednia

Postdoctroal Research Scientist, Department of Mechanical Engineering, William Marsh Rice University, Houston, Texas 77251
hamid.ghaednia@rice.edu

Matthew Brake

Assistant Professor, Department of Mechanical Engineering, William Marsh Rice University, Houston, Texas 77251
brake@rice.edu

Michael Berryhill

Student, Department of Mechanical Engineering, Auburn University, Auburn, Alabama 36849
mtb0027@auburn.edu

Robert L. Jackson

Professor, Department of Mechanical Engineering, Auburn University, Auburn, Alabama 36849
jacksr7@auburn.edu

1Corresponding author.

ASME doi:10.1115/1.4041537 History: Received April 19, 2018; Revised September 17, 2018

Abstract

For elastic contact, an exact analytical solution for the stresses and strains within two contacting bodies has been known since the 1880s. Despite this, there is no similar solution for elastic-plastic contact due to the integral nature of plastic deformations, and the few models that do exist develop approximate solutions for the elastic-perfectly plastic material model. In this work, the full transition from elastic-perfectly plastic to elastic materials in contact is studied using a bilinear material model in a finite element environment for a frictionless dry flattening contact. Even though the contact is considered flattening, elastic deformations are allowed to happen on the flat. The real contact radius is found to converge to the elastic contact limit at a tangent modulus of elasticity around 20 %. For the contact force, results show a different trend in which there is a continual variation in forces across the entire range of material models studied. A new formulation has been developed based on finite element results to predict the deformations, the real contact area, and contact force. A second approach has been introduced to calculate the contact force based on the approximation of the Hertzian solution for the elastic deformations on the flat. The proposed formulation is verified for five different materials sets.

Copyright (c) 2018 by ASME
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