Application of the kinematical shakedown theorem to rolling and sliding point contacts

摘要: Abstract I n the plane-strain conditions of a long cylinder in rolling line contact with an elastic-perfectly-plastic half-space exact shakedown limit has been established previously by use both statical (lower bound) and kinematical (upper theorems. At loads above this incremental strain growth or “ratchetting” takes place mechanism which surface layers are plastically sheared relative to subsurface material. In paper theorem is used investigate mode deformation for sliding point contacts, Hertz pressure frictional traction act on elliptical area repeatedly traverses half-space. Although similar collapse possible, behaviour found be different from that two-dimensional three significant ways: (i) To develop plastic shear zone must spread at sides so complete segment material immediately beneath loaded free displace remainder half-space, (ii) Residual stresses orthogonal developed layers, (iii) A range closed cycle alternating plasticity without growth, condition often referred as “plastic shakedown”. Optimal upper bounds elastic limits have varying coefficients shapes ellipse. The analysis also gives estimates residual induced.