Development of Nine-node Co-rotational Planar Element for Elastoplastic/Contact Analysis

Hae-Seong Cho; Hyun-Shig Joo; Sang Joon Shin

doi:10.7734/COSEIK.2017.30.1.1

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2017 Vol.30, Issue 1 Next Page

Research Paper

Development of Nine-node Co-rotational Planar Element for Elastoplastic/Contact Analysis 탄소성/접촉 해석을 위한 Co-rotational 정식화 기반의 9절점 평면 요소 개발

28 February 2017. pp. 1-6

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Abstract

This paper presents development of the nine-node co-rotational(CR) planar element applicable for elastoplastic and contact analysis. The CR formulation is one of the efficient geometrically nonlinear formulations. It is based on the assumptions of small strain and large displacement. Further, it is extended to both elastoplastic analysis and contact analysis in this paper. For accurate plastic analysis, nine-node quadrilateral element, which can provide accurate stress prediction, is chosen. Bi-linear hardening rule based on Newton- Raphson return-mapping is employed. Also, Lagrange multiplier is used in order for constraints regarding the contact analysis. The present development is validated via the time transient problems. The present results are compared with those obtained by the other existing software.

Keywords

co-rotational formulation

elastoplastic analysis

contact analysis

본 논문에서는 비교적 최근 정립된 co-rotational 이론을 기반으로 한 4절점 평면요소 정식화를 확장하여 9절점 평면 요소에 적합한 CR 정식화를 제시하고자 한다. 그리고 등방성 재료의 소성 해석을 위해, 선형 경과 규칙(bi-linear hardening rule)을 바탕으로 하는 Newton-Raphson return-mapping 알고리즘을 적용하였다. 이때, von Mises 기준을 적용하여 소성 변형 상태를 예측하였다. Lagrange 승수를 도입하여 2차원 접촉에 대한 구속조건을 부여하였다. 개발한 요소는 상용프로그램인 ABAQUS 해석결과와 비교 검증하였다.

키워드

Co-rotational 정식화

소성해석

접촉해석

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 :1
Pages :1-6
Received Date : 2016-09-19
Revised Date : 2016-12-01
Accepted Date : 2017-12-19
DOI :https://doi.org/10.7734/COSEIK.2017.30.1.1

Journal of the Computational Structural Engineering Institute of Korea ISSN:1229-3059(Print) 2287-2302(Online) 한국전산구조공학회 논문집

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