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Dynamic Contact Analysis of Composite Structures by Connecting Finite Element Subdomains

유한요소 부영역의 결합을 통한 복합재료 구조물의 동적 접촉 해석


Abstract

Subdomain-interface variational formulation is presented to solve a class of dynamic contact problems of composite structures. The penalty method is used for imposing inequality constraints on contact surfaces and for connecting finite element subdomains that satisfy interface compatibility conditions. As a result, any complex-shaped domain can be easily divided into independently modeled subdomains without considering the conformity of meshes on interfaces. Some advantageous features of the present method are shown through a set a numerical studies with a developed computer code.

복합재료 구조물의 동적 접촉 문제를 효율적으로 해석하기 위하여 부영역과 공유면에 기반을 둔 변분 정식화 과정을 제안하였다. 벌칙 함수법을 이용하여 접촉면에서의 부등식 구속 조건은 물론, 유한요소 부영역과 공유면의 연결을 위한 등식 적합 조건까지 만족하게 하였다. 이에 따라 구조 형상이 복잡한 경우라도 공유면에서의 절점 연속성을 별도로 고려하지 않고 전체 영역긍 분할한 후, 분할된 부영역별로 독립적인 유한요소로 모델링하여 필요한 수치 연산을 수행할 수 있다. 개발된 컴퓨터 코드를 이용한 수치 해석을 통하여 제안된 정식화에 대한 여러 특성을 고찰하였다.

Keywords

References

  1. Zhong, Z. H. and Mackerle, J., "Contact-Impact Problems: A Review with Bibliography," Applied Mechanics Review, Vol. 47, 1994, pp. 55-76. https://doi.org/10.1115/1.3111071
  2. Wriggers, P., "Finite Element Algorithms for Contact Problems," Archives of Computational Methods in Engineering, Vol. 2, 1995, pp. 1-49.
  3. Oden, J. T. and Kikuchi, N., "Finite Element Methods for Constrained Problems in Elasticity," Int. J. Numerical Methods in Engineering, Vol. 18, 1982, pp. 701-725. https://doi.org/10.1002/nme.1620180507
  4. Kim, S. J. and Kim, J. H., "Finite Element Analysis of Laminated Composites with Contact Constraint by Extended Interior Penalty Methods," Int. J. Numerical Methods in Engineering, Vol. 36, 1993, pp. 3421-3439. https://doi.org/10.1002/nme.1620362003
  5. Farhat, C. and Roux, F. X., "A Method of Finite Element Tearing and Interconnecting and its Parallel Solution Algorithm," Int. J. Numerical Methods in Engineering, Vol. 32, 1991, pp. 1205-1227. https://doi.org/10.1002/nme.1620320604
  6. Fish, J. and Markolefas, S., "The s-version of the Finite Element Method for Multilayer Laminates," Int. J. Numerical Methods in Engineering, Vol. 33, 1992, pp. 1081-1105. https://doi.org/10.1002/nme.1620330512
  7. Felippa, C. A., "A Survey of Parametrized Variational Principles and Applications to Computaional Mechanics," Computer Methods in Applied Mechanics and Engineering, Vol. 113, 1994, pp. 109-139. https://doi.org/10.1016/0045-7825(94)90214-3
  8. Aminpour, M. A., Ransom, J. B., and McCleary, S. L., "A Coupled Analysis Method for Structures with Independently Modelled Finite Element Subdomains," Int. J. Numerical Methods in Engineering, Vol. 38, 1995, pp. 3695-3718. https://doi.org/10.1002/nme.1620382109
  9. Park, K. C. and Felippa, C. A., "A Variational Framework for Solution Method Developments in Structural Mechanics," ASME J. Applied Mechanics, Vol. 65, 1998, pp. 242-249. https://doi.org/10.1115/1.2789032
  10. Cho, M. H. and Kim, W. B., "A Coupled Finite Element Analysis of Independently Modeled Substructures by Penalty Frame Method," KSME International Journal, Vol. 16, 2002, pp. 1201-1210. https://doi.org/10.1007/BF02983826
  11. Oishi, A., "Large-Scale Dynamic Analyses with Contact-Impact Using the Hierarchical Domain Decomposition Method," Annual Report of ADVENTURE Project, ADV-99-1, 1999.
  12. Dureisseix, D. and Farhat, C., "A Numerically Scalable Domain Decomposition Method for the Solution of Frictionless Contact Problems," Int. J. Numerical Methods in Engineering, Vol. 50, 2001, pp. 2643-2666. https://doi.org/10.1002/nme.140