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This work establishes a temperature-controlled sequence function,and a new multi-phase-field model,for liquidsolid-solid multi-phase transformation by coupling the liquid-solid phase transformation model with the solid-solid phase transformation model.Taking an Fe-C alloy as an example,the continuous evolution of a multi-phase transformation is simulated by using this new model.In addition,the growth of grains affected by the grain orientation of the parent phase (generated in liquid-solid phase transformation) in the solid-solid phase transformation is studied.The results show that the morphology of ferrite grains which nucleate at the boundaries of the austenite grains is influenced by the orientation of the parent austenite grains.The growth rate of ferrite grains which nucleate at small-angle austenite grain boundaries is faster than those that nucleate at large-angle austenite grain boundaries.The difference of the growth rate of ferrites grains in different parent phase that nucleate at large-angle austenite grain boundaries,on both sides of the boundaries,is greater than that of ferrites nucleating at small-angle austenite grain boundaries.