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Shape Design Sensitivity Analysis of Dynamic Crack Propagation Problems using Peridynamics and Parallel Computation

페리다이나믹스 이론과 병렬연산을 이용한 균열진전 문제의 형상 설계민감도 해석

  • Kim, Jae-Hyun (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Cho, Seonho (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University)
  • 김재현 (서울대학교 조선해양공학과 및 아이소-지오메트릭 최적설계 창의연구단) ;
  • 조선호 (서울대학교 조선해양공학과 및 아이소-지오메트릭 최적설계 창의연구단)
  • Received : 2014.07.13
  • Accepted : 2014.07.25
  • Published : 2014.08.30

Abstract

Using the bond-based peridynamics and the parallel computation with binary decomposition, an adjoint shape design sensitivity analysis(DSA) method is developed for the dynamic crack propagation problems. The peridynamics includes the successive branching of cracks and employs the explicit scheme of time integration. The adjoint variable method is generally not suitable for path-dependent problems but employed since the path of response analysis is readily available. The accuracy of analytical design sensitivity is verified by comparing it with the finite difference one. The finite difference method is susceptible to the amount of design perturbations and could result in inaccurate design sensitivity for highly nonlinear peridynamics problems with respect to the design. It turns out that $C^1$-continuous volume fraction is necessary for the accurate evaluation of shape design sensitivity in peridynamic discretization.

Acknowledgement

Supported by : 한국연구재단

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Cited by

  1. Structural Design Optimization of Dynamic Crack Propagation Problems Using Peridynamics vol.28, pp.4, 2015, https://doi.org/10.7734/COSEIK.2015.28.4.425