Comparison of Three- and Two-Dimensional Finite-Element Analyses of Residual Stress in Ceramic/Metal Joints

Abstract

Residual stress distribution of Si₃N₄/SUS304 joints with an insert layer of copper was analyzed by two- and three-dimensional thermo-elastic-plastic finite-element methods (FEM). Analytical results were compared with experimental results of an X-ray diffraction method. It is found that the 3D-FEM results show good agreement with the experimental results, although they differ from the 2D-FEM results. The superposition principle (mean value) of 2D-FEM results was applied to estimate the 3D-FEM results. The superposition results (mean value) show good agreement with the 3D-FEM results, except for the results near the interface. Stress singularity near the interface at the ceramic side was also studied on the basis of 3D-FEM results, 2D-FEM results and superposition results. The stress singularity of 3D-FEM results differs from that of 2D-FEM results at the edge line, although it shows a good agreement with that of 2D-FEM (plane strain) results at the center line.