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The paper presents computer simulation of the von Mises stress distribution in the clinker material hardening in temperature gradient conditions. Computer simulation concerns a virtual plane rectangular rod filled with clinker minerals and limited by nondeformable solid plates at the top and bottom. On the left, the rod is cooled down to –20°C, while on the right it is heated up to 60°C. Computer simulation shows that the von Mises stress distribution is nonuniform in longitudinal and normal sections during cement hardening in the temperature gradient conditions; the minimum von Mises stress being at the center of rod. It is found that the von Mises stress distribution is specific at the center and ends of the rod. The steplike von Mises stress distribution is clearly observed in the longitudinal section, in the vicinity of the cement/plate interface.