Ba0.5Sr0.5Co0.8Fe0.2O3‐δ (BSCF) is a mixed ionic electronic conducting membrane (MIEC) material which can be used for the separation of oxygen from air in both coal gasification and oxy‐fuel power plants. It shows the best oxygen separation performance at elevated temperatures (>800 °C). In this review paper, its mechanical behavior over a wide range of temperature is addressed. From the studies done so far, it is evident that BSCF shows a unique pattern in the temperature dependence of fracture toughness and Young's modulus. It poses a problem from the view point of structural stability of oxygen separation membrane, particularly during start‐up period or thermal cycling. Number of possible explanations have been put forward in recent past but most of them are speculative in nature and lacks in experimental support.