Analytical method of inelastic thermal stresses in a functionally graded material plate by a combination of micro- and macromechanical approaches

Micromechanical Simulation of Thermal Cyclic Behavior of ZrO2/Ti Functionally Graded Thermal Barrier Coatings

“…Macroscopic heterogeneity means the gradation of microstructures and material properties through the thicknesses of the FG TBCs, and microscopic heterogeneity is due to the fact that the composite materials are composed of several constituents, usually metals and ceramics. In order to make the best use of such heterogeneous materials, the formulation of the constitutive relation from the standpoints of these two different scales is required [4,5].…”

“…Recently, micromechanical approach considering plastic deformation of metal phase and creep of metal and ceramic phase as well as diffusional mass flow at the interface between metal and ceramic phases is proposed by the author [5].…”

“…The purpose of the current study is to numerically investigate thermal cyclic behavior of ZrO2/Ti functionally graded thermal barrier coatings (FG TBCs) based on a nonlinear mean-field micromechanical approach [5], which takes into account the time-independent and dependent inelastic deformation, such as plasticity of metals, creep of metals and ceramics, and diffusional mass flow at the ceramic/metal interface. The fabrication processes for the FG TBCs have been also considered.…”

“…The model used in the study is based on the work by Tsukamoto [5]. A brief description of the model is made here.…”

“…The inelastic deformation of constituents of the composites include creep with the strain, ε c , plastic deformation with the strain, ε p , and diffusional mass transport along the metal-ceramic interface with the eigen strain of the particle, ε d . The in-plane and out-of-plane micro-stresses in each phase can be written as follows [5],…”