An Extension of Hertz’s Theory in Contact MechanicsSource: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002::page 373Author:Guanghui Fu
DOI: 10.1115/1.2188017Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Hertz’s theory, developed in 1881, remains the foundation for the analysis of most contact problems. In this paper, we consider the axisymmetric normal contact of two elastic bodies, and the body profiles are described by polynomial functions of integer and noninteger positive powers. It is an extension of Hertz’s solution, which concerns the contact of two elastic spheres. A general procedure on how to solve this kind of problem is presented. As an example, we consider the contact between a cone and a sphere. The relations among the radius of the contact area, the depth of the indentation, the total load, and the contact pressure distribution are derived.
keyword(s): Pressure , Elasticity , Stress , Contact mechanics , Elastic half space , Equations , Polynomials AND Functions ,
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| contributor author | Guanghui Fu | |
| date accessioned | 2017-05-09T00:22:32Z | |
| date available | 2017-05-09T00:22:32Z | |
| date copyright | March, 2007 | |
| date issued | 2007 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26621#373_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135131 | |
| description abstract | Hertz’s theory, developed in 1881, remains the foundation for the analysis of most contact problems. In this paper, we consider the axisymmetric normal contact of two elastic bodies, and the body profiles are described by polynomial functions of integer and noninteger positive powers. It is an extension of Hertz’s solution, which concerns the contact of two elastic spheres. A general procedure on how to solve this kind of problem is presented. As an example, we consider the contact between a cone and a sphere. The relations among the radius of the contact area, the depth of the indentation, the total load, and the contact pressure distribution are derived. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Extension of Hertz’s Theory in Contact Mechanics | |
| type | Journal Paper | |
| journal volume | 74 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2188017 | |
| journal fristpage | 373 | |
| journal lastpage | 374 | |
| identifier eissn | 1528-9036 | |
| keywords | Pressure | |
| keywords | Elasticity | |
| keywords | Stress | |
| keywords | Contact mechanics | |
| keywords | Elastic half space | |
| keywords | Equations | |
| keywords | Polynomials AND Functions | |
| tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002 | |
| contenttype | Fulltext |