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- Assumptions: Assumptions for classical Hertz contact mechanics are discussed.
- Mathematical model: Governing equations and boundary conditions, as well as additional relations will be discussed.
- FEM approach: We will discuss solution strategy used in solving a nonlinear problem in FEM.
Assumptions
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This problem is a classic |
example of _Hertz Contact Mechanics_\[1\], and hence, makes the following assumptions: |
- Surfaces are continuous and non-conforming, which means that initial contact is a point or a line. In our example of sphere-plate, the initial contact interface is in a form of a point.
- Strains are small.
- Solids are elastic. This means that the material response of stress and strain behaves linearly.
- Surfaces are frictionless and cannot penetrate into each other.
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