기공을 갖는 형상기억합금의 응력 및 변형률 관계에 대한 이론적 고찰
Theoretical Investigation on the Stress-Strain Relationship for the Porous Shape Memory Alloy
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초록
Eshelby의 등가개재물법과 Mori-Tanaka의 평균장 이론을 이용하여 다공성 형상기억합금에 대한 새로운 3차원 응력-변형률 모델을 제안하였다. 12%의 기공도를 갖는 Ni-Ti 형상기억합금에 대한 압축실험으로부터 구한 응력-변형률 선도와 본 연구에서 제안한 모델링에 의한 응력-변형률 관계를 비교한 결과 잘 일치함을 알 수 있었다. 기존의 다른 연구에서는 대부분 상변태 구간을 선형적으로 가정하였지만 본 연구에서는 비선형으로 가정함으로써 실험결과를 보다 잘 모사할 수 있었다.
Abstract
A new three-dimensional model for stress-strain relation of a porous shape memory alloy has been proposed, where Eshelby’s equivalent inclusion method with Mori-Tanaka’s mean field theory is used. The predicted stress-strain relations by the present model are compared and show good agreements with the experimental results for the Ni-Ti shape memory alloy with porosity of 12%. Unlike linear stress-strain relations during phase transformations by other models from the literature, the present model shows nonlinear stress-strain relation in the vicinity of martensite finish region.
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