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

DOI10.1016/0022-5096(85)90033-XzbMath0572.73045MaRDI QIDQ1062512

B. George

Publication date: 1985

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

incremental collapseclosed cycle of alternating plasticityelliptical areaestimates of the residual orthogonal shear stressesfrictional tractionHertz pressureincremental growthkinematical shakedown theoremmode of deformationOptimal upper bounds to both the elastic and plastic shakedown limitsrepeatedly traverses the surface of a half-spaceResidual shear stresses orthogonal to the surfacerolling and sliding point contactsshapes of the loaded ellipsevarying coefficients of tractionwithout incremental growth

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Anelastic fracture and damage (74R20) Theories of friction (tribology) (74A55)

Related Items (8)

Bounds for shakedown of cohesive-frictional materials under moving surface loads ⋮ Three-dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads ⋮ Application of the interior‐point method to shakedown analysis of pavements ⋮ Multiaxial fatigue life prediction of kiln roller under axis line deflection ⋮ Extension of the linear matching method to geotechnical problems ⋮ A minimum theorem for cyclic load in excess of shakedown, with application to the evaluation of a ratchet limit ⋮ Plasticity in fretting contact ⋮ A method for the evaluation of design limits for structural materials in a cyclic state of creep

Cites Work

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