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对二维弹—塑性问题的一个有限元格式的稳定性证明 被引量:1

STABILITY AND CONVERGENCE OF A FINITE ELEMENT SCHEME FOR TWO-DIMENSIONAL ELASTIC-PLASTIC PROBLEMS
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摘要 对二维弹—塑性问题 ,利用质量集中法 ,构造了一个全离散有限元计算格式 ,并证明了在适当的条件下 ,此格式是稳定的 . The application of the finite element method is treated to two dimensional elastic plastic problems.A fully discrete scheme is introduced,and the its stability is proved under suitable conditions.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2001年第2期127-133,共7页 Journal of Shandong University(Natural Science)
关键词 弹-塑性问题 有限元 稳定性 finite element method elastic plastic problems stability
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参考文献1

  • 1Claes Johnson. On finite element methods for plasticity problems[J] 1976,Numerische Mathematik(1):79~84

同被引文献6

  • 1Fujii Hiroshi. Finite element Galerkin method for mixed initial-boundary value problems in elasticity theory[C]. USA: Center For Numerical Analysis, The University of Texas at Austin, Oct. 1971, CNA-34.
  • 2Johnson C. On finite element methods for plasticity problems[J].Numer.Anal,1976,26:79~84.
  • 3Miyoshi T. Foundations of the Numerical Analysis of plasticity[M]. North-Holland Mathematics Studies 107, Amsterdam: North-Holland publishing company, 1985.
  • 4Miyoshi T. Numerical stability in dynamic elastic-plastic problems[J]. Analyse Numerique ,1980, 14: 175~188.
  • 5Miyoshi T. A consistent explicit scheme for dynamic plasticity problems[J]. Computational Mechanics, 1991, 4: 442~447.
  • 6Ciarlet P.C. Finite element method for elliptic problems[M]. Amsterdam: North-Holland publishing company, 1978.

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