KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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An Enhanced 8-Node Serendipity finite Element for the Analysis of Isotropic and Laminated Composite Plates

등방성 및 복합적층판 해석을 위한 개선된 8절점 Serendipity 유한요소

Chun, Kyoung-Sik;Yhim, Sung-Soon;Chang, Suk-Yoon
천경식;임성순;장석윤

  • Published : 2004.03.31

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Abstract

This paper presents a improved 8-node finite element for the analysis of isotropic and laminated composite plates. We derive explicit expressions of shape functions for the 8-node serendipity element with bilinear element geometry, which is modified so that it can represent any quadratic fields in Cartesian coordinates. The problem is then discretized using bubble functions for the rotational degrees of freedom and functions linking the transverse displacement to the rotations. The finite element, based on a first-order shear deformation theory, is further improved by the combined use of assumed natural strain, and EAS approach. Thus, the newly developed element has been designated as 'MAR-8P'. Numerical results are included to show the effectiveness of our modification. The improved 8-node serendipity element proposed has been found to be more accruate solutions when comparing to results of other researchers.

본 논문은 등방성 및 복합적층판 해석을 위한 개선된 8절점 Serendipity 요소를 제시하였다. Cartesian 좌표계에서 9절점 등매개변수 요소와 동일한 조건하에서 2차 변위를 정확히 보간하도록 수정할 수 있다. 8절점 요소에 추가할 수 있는 최적의 EAS 모드를 정의하고자 Bubble 함수식을 사용하였다. 요소 내부의 각 절점에 대한 회전 변위장과 그와 관련된 횡방향 변위에 EAS 모드를 추가하여 거동을 개선한다. 즉, 1차전단변형에 근거한 유한요소는 가정된 변형률장과 EAS 접근방법에 의해 더욱 개선되었다. 새롭게 개발된 요소를 'MAR-8P'이라 명하였다. 수치해석결과 비교를 통해 본 연구의 개선점에 대한 효율성을 보이고자 하였다. 본 연구에서 제시한 개선된 8절점 Serendipity요소는 다른 기존의 요소들과 비교하여 높은 수렴성 및 정확도를 보였다.

Keywords

References

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