It is well known that gadolinium doped ceria (10 GDC) undergoes significant compositional expansion when exposed to low oxygen partial pressures. When constrained, such expansion results in mechanical stresses in the ionic solid. Although significant work has been done in evaluating the magnitudes of this expansion, interactions between stresses induced as a result of chemical expansion and transport of point defects in a solid electrolyte have not received much attention. In this work, the formulation developed by Swaminathan et al. in ref. [1] for coupling transport and mechanical stresses in an ionic solid is used to numerically study the effects of transport–stress interaction in a tubular solid electrolyte made of 10 GDC. The results obtained in this study indicate a strong interaction between transport and stresses, showing a significant variation in the electrochemical performance of the electrolyte under varying conditions of stress–transport interaction. The solutions obtained in this study reduce to the well-known results in the literature when chemical expansion is not considered, thereby partially validating our results.