Solution of the incompatibility problem in linear three‐dimensional anisotropic media for an isotropic incompatibility tensor

Abstract

A solution of the incompatibility problem in three-dimensional anisotropic elasticity is derived for thc case that the iricornpatibility tensor has isotropic syninietry. To that end an infinitely extended linear elastic anisotropic medium is assumed. Under these conditions the internal stresses are obtained by pure differentiations from the corresponding foiirth-order stress function tensor. This result is then used to express the internal stress tensor as a convolution of the incompatibility tensor and the elastic Green's function tensor.

Retained Austenite and Residual Stress Evolution in Carbonitrided Shot-Peened Steel

“…The quantitative determination of strain in material carbonitrided shot peened is based on the eigenstrain principle [7][8][9][10]. The total strain due to shot-peening is the sum of eigenstrain and elastic residual strain.…”