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    Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

    Source: Journal of Tribology:;2019:;volume( 141 ):;issue: 003::page 31402
    Author:
    Ghaednia, Hamid
    ,
    Brake, Matthew R. W.
    ,
    Berryhill, Michael
    ,
    Jackson, Robert L.
    DOI: 10.1115/1.4041537
    Publisher: The American Society of Mechanical Engineers (ASME)
    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, the 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 the finite element results to predict the deformations, 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.
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      Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

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    contributor authorGhaednia, Hamid
    contributor authorBrake, Matthew R. W.
    contributor authorBerryhill, Michael
    contributor authorJackson, Robert L.
    date accessioned2019-03-17T10:56:18Z
    date available2019-03-17T10:56:18Z
    date copyright11/21/2018 12:00:00 AM
    date issued2019
    identifier issn0742-4787
    identifier othertrib_141_03_031402.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4256435
    description abstractFor 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, the 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 the finite element results to predict the deformations, 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStrain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact
    typeJournal Paper
    journal volume141
    journal issue3
    journal titleJournal of Tribology
    identifier doi10.1115/1.4041537
    journal fristpage31402
    journal lastpage031402-11
    treeJournal of Tribology:;2019:;volume( 141 ):;issue: 003
    contenttypeFulltext
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