Stress analysis for a laminated half-body in couple stress theory

Summary

The paper contains an analysis of the distribution of stress and couple stress in a semi-infinite elastic laminated body when the body is deformed on the first plate due to surface pressure. In this analysis, the boundary conditions at the surface of the arbitrary numbered plate have been given without application of shearing stress nor couple stress, and the material constantsG, v andl on the all plates are taken as the same values. The particular solution of this case is constructed by applying the method of V. H. Bufler's recurrence relations for a stress transfer function with the aid, of displacement continuity. The problem is numerically calculated with three different new material constants and Poisson's ratiov=0.3; and in the results, the reduction rate of σ_zz in comparison with the classical value and μ_zθ distributions are influenced by the materials to a large degree.