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Enriched finite element method for 2-D and 3-D blunt crack problems in a viscoelastic medium
Jingbo Duan,Yongjun Lei,Daokui Li 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.3
The analysis of two-dimensional and three-dimensional blunt crack problems in a linear viscoelastic medium is numerically investigated using the enriched finite element method. The enriched crack-tip elements are established by enriching the asymptotic displacement fields at the blunt crack front to the regular elements. The corresponding transition elements are formulated to eliminate displacement field incompatibility. The viscoelastic incremental formulations for the enriched finite element method in time domain are derived according to the Boltzmann superposition principle. The time-dependent deformations of crack are presented and the stress intensity factors are directly obtained from the enriched degree of freedoms. The numerical examples indicate that the enriched finite element method is extremely suitable for dealing with complicated blunt crack problems.
Yating Liu,Jingbo Duan,Yihang Gao,Buqing Xu 대한기계학회 2023 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.37 No.3
The thermal buckle and flutter behaviors of the asymmetrically curved-fiber composite panel in supersonic air flow are studied in frequency and time domains. Based on the Mindlin thick plate theory, the Von Karman large-deformation assumption and the quasisteady supersonic piston theory were adopted to describe deformations and supersonic loads of the composite panel, respectively. According to Hamilton variational principle, the nonlinear aerothermoelastic equations of the asymmetrically curvilinear-fiber panel were established with frequency domain characteristics obtained by the complex mode method and time domain responses obtained by the Newmark method, respectively. After verifying the correctness of the current method, the influences of temperature gradient, curvilinear-fiber orientation and incoming airflow pressure on the static large-deflection, mode coalescence, flutter-buckling boundary, time-history responses and phase-plane plots of the composite panel were discussed in detail.