新式相場模擬法應用於麻田散鐵微結構之研究

Abstract

我們可以提出一套基於能量低點拘束的麻田散鐵理論架構，來研究變態成為多種兄弟晶微結構的特殊排列方式及其演化過程。此理論藉由能量最小原理預測在能量最低點的微結構排列方式。由於麻田散鐵塊材與其薄膜在內部所形成之微結構是可以非常不一樣的，是故本文應用所發展之理論架構來研究麻田散鐵薄膜之微結構。同時對於四邊受鉗制之薄膜施加不同型式之應變，進行微結構之數值模擬，所得之結果與理論均相當符合。

A framework based on the constrained theory of martensite to study the formation and relaxation process of microstructure is proposed here. The principle of energy minimization requires that martensitic variants are patterned in a special way to reduce the total free energy. Further, it is well-known that microstructure formed in thin films can be significantly different from that formed in bulk materials. The proposed framework is then used to investigate microstructure in martensitic thin films. A variety of microstructures for a clamped film with different applied strains are predicted and the simulation results are found to agree well with the theory.