# Analytical modelling of thermal residual stresses and optimal design of ZrO2/(ZrO2+Ni) sandwich ceramics

## TL;DR

This paper develops an analytical model to evaluate residual stresses in ZrO2/(ZrO2+Ni) sandwich ceramics and optimizes their design by analyzing layer thickness and transitional layers.

## Contribution

It introduces a simplified analytical model for residual stress calculation and explores optimal layer configurations for improved ceramic-metal composites.

## Key findings

- Model agrees well with finite element results
- Optimal layer thickness ratios identified
- Residual stress distribution characterized

## Abstract

The joining of ceramics with metals have been extensively used in applications requiring high strength and excellent heat insulation. However, evaluating the residual stress generated inevitably due to the mismatch in coefficients of thermal expansion of ceramic and metal is challenging, which is very important for fabrication and characterization of layered inhomogeneous material. A simplified analytical model considering the overall deformation compatibility is established to compute the interlaminar residual stresses of the ZrO2/(ZrO2+Ni) sandwich ceramics, which agrees well with the results obtained by the commercial finite element package. The effects of the thickness ratio of the transitional layer to the middle layer, and the number of transitional layers on the properties of the ZrO2/(ZrO2+Ni) sandwich ceramics are researched to obtain the optimal structure.

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Source: https://tomesphere.com/paper/1907.09259