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Stress singularities along a cycloid rough surface. (English) Zbl 0797.73004
The authors consider the problem of a cycloid wavy surface under a uniform bulk stress. Using the conformal mapping method to find the stress and displacement fields, they show that a cusped cycloid induces crack-like singular stresses near the surface, and that the strain energy assumes a Dirac distribution concentrated at the cusp. The analytic solutions derived may be of help in numerical computations associated with the evolution process.

MSC:
74G70 Stress concentrations, singularities in solid mechanics
74B05 Classical linear elasticity
74S30 Other numerical methods in solid mechanics (MSC2010)
74R99 Fracture and damage
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