Investigation of the stress-strain state of a hollow cylinder with a coating based on the gradient model of thermoelasticity

The study of the stress-strain state a thermoelastic hollow cylinder with homogeneous coating is carried out taking into account scale effects. Aifantis' one-parameter gradient model used to for Equilibrium equations and boundary conditions composite are obtained on basis Lagrange variational principle. In comparison classical formulation problem, additional conjugation set moment stresses displacement gradients. dimensionlessness task thermoelasticity has been out. Solving problem uncoupled begins finding radial temperature distribution layered solving heat conduction in formulation. solution displacements presented as sum solutions layer terms found asymptotic properties modified Bessel functions. Simplified analytical expressions displacements, circumferential Cauchy stresses, nonzero components tensor total stresses. On specific examples, calculations case both mechanical thermal loading limits applicability investigated. difference between shown. It was that experience jump at coating, which explained by continuity their first derivatives. stress either take peak values or interface. proportional square parameter, small they have much less than With an increase dimensionless decrease, but increase.