Fundamentals of fluid mechanics 6th edition pdf

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Enter the email address you signed up with and we’ll email you a reset link. Stresses in a contact area loaded simultaneously with a normal and a tangential force. This page focuses mainly on the normal direction, i. Hertzian contact stress refers to the localized stresses that develop as two curved surfaces come in contact and deform slightly under the imposed loads. It gives the contact stress as a function of the normal contact force, the radii of curvature of both bodies and the modulus of elasticity of both bodies.

When a sphere is pressed against an elastic material, the contact area increases. Classical contact mechanics is most notably associated with Heinrich Hertz. In 1882, Hertz solved the contact problem of two elastic bodies with curved surfaces. This still-relevant classical solution provides a foundation for modern problems in contact mechanics.

The Hertzian contact stress usually refers to the stress close to the area of contact between two spheres of different radii. Bowden and Tabor were the first to emphasize the importance of surface roughness for bodies in contact. Through investigation of the surface roughness, the true contact area between friction partners is found to be less than the apparent contact area. Such understanding also drastically changed the direction of undertakings in tribology. The works of Bowden and Tabor yielded several theories in contact mechanics of rough surfaces. The theory of contact between elastic bodies can be used to find contact areas and indentation depths for simple geometries.

Some commonly used solutions are listed below. The theory used to compute these solutions is discussed later in the article. Contact between two crossed cylinders of equal radius. Contact between a rigid cylindrical indenter and an elastic half-space. Contact between a rigid conical indenter and an elastic half-space.