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2017 Vol.30, Issue 5 Preview Page
Biaxial Buckling Analysis of Magneto-Electro-Elastic(MEE) Nano Plates using the Nonlocal Elastic Theory

비국소 탄성이론을 이용한 자기-전기-탄성 나노 판의 2방향 좌굴 해석

Sung-Cheon Han1
,
Weon-Tae Park2†
한 성 천1
,
박 원 태2†
1Department of Civil & Railroad Engineering, Daewon University College, Jecheon, 27135, Korea
2Division of Construction and Environmental Engineering, Kongju National University, Cheonan, 32588, Korea
1대원대학교 철도건설과
2공주대학교 건설환경공학부
†Corresponding author : +82-41-521-9305; pwtae@kongju.ac.kr
2017. pp. 405-413
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Abstract

In this paper, we study the biaxial buckling analysis of nonlocal MEE(magneto-electro-elastic) nano plates based on the first-order shear deformation theory. The in-plane electric and magnetic fields can be ignored for MEE(magneto-electro-elastic) nano plates. According to magneto-electric boundary condition and Maxwell equation, the variation of magnetic and electric potentials along the thickness direction of the MME plate is determined. In order to reformulate the elastic theory of MEE(magnetoelectro-elastic) nano-plate, the nonlocal differential constitutive relations of Eringen is used. Using the variational principle, the governing equations of the nonlocal theory are discussed. The relations between nonlocal and local theories are investigated by computational results. Also, the effects of nonlocal parameters, in-plane load directions, and aspect ratio on structural responses are studied. Computational results show the effects of the electric and magnetic potentials. These computational results can be useful in the design and analysis of advanced structures constructed from MEE(magneto-electro-elastic) materials and may be the benchmark test for the future study.

Keywords
Magneto-Electric-Elastic(MEE) materials
nano plates
nonlocal elasticity theory
biaxial buckling
shear deformation theory

본 연구에서는 1차 전단변형이론을 고려한 비국소 자기-전기-탄성 나노 판의 2방향 좌굴해석에 관하여 연구하였다. 면내 전기-자기-탄성 나노 판에서 전기장과 자기장은 무시할 수 있다. 자기-전기 경계조건과 맥스웰 방정식에 따라 전기-자기-탄성 나노 판의 두께 방향에 따른 자위 및 전위의 변화가 결정된다. 자기-전기-탄성 나노 판의 탄성이론을 재 공식화하기 위하여 에링겐의 비국소 미분 구성 관계식을 사용하였다. 변분이론을 이용하여 비국소 탄성이론의 지배방정식을 연구하였 다. 비국소 이론과 국소 이론의 관계를 계산 결과를 통하여 분석하였다. 또한, 비국소 매개변수, 면내 하중 방향 그리고 형상 비에 따른 구조적 응답을 연구하였다. 계산 결과들은 전위 및 자위의 효과를 나타내었다. 이러한 계산 결과들은 자기-전기-탄성 재료로 구성된 신소재 구조물의 설계 및 해석에 사용될 수 있고 향후 연구의 비교자료가 될 수 있을 것으로 판단된다.

키워드
자기-전기-탄성 재료
나노 판
비국소 탄성이론
2방향 좌굴
전단변형 이론
References

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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 30
  • No :5
  • Pages :405-413
  • Received Date : 2017-08-02
  • Revised Date : 2017-08-28
  • Accepted Date : 2017-08-29
  • DOI :https://doi.org/10.7734/COSEIK.2017.30.5.405
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