PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (5): 431-438.

PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP

林拜松

Central-South Institute of Mining and Metallurgy Changsha

收稿日期:1984-06-04 出版日期:1985-05-18 发布日期:1985-05-18

PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP

Lin Bai-song

Central-South Institute of Mining and Metallurgy Changsha

Received:1984-06-04 Online:1985-05-18 Published:1985-05-18

摘要/Abstract

摘要： Under the hypothesis that all the perfectly plastic stress components at a orach tip are the functions of θ only, making use of yield conditions and equilibrium equations. we derive the generally analytical expressions of the perfectly plastic stress field at a crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the tips of Mode Ⅰ Mode Ⅱ, Mode Ⅲ and Mixed Mode Ⅰ-Ⅱ cracks are obtained.

关键词: beam-column structure, Hamilton variational principle, nonlinear stability, shooting method, Newton-Raphson iterative method, post-buckling

Abstract: Under the hypothesis that all the perfectly plastic stress components at a orach tip are the functions of θ only, making use of yield conditions and equilibrium equations. we derive the generally analytical expressions of the perfectly plastic stress field at a crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the tips of Mode Ⅰ Mode Ⅱ, Mode Ⅲ and Mixed Mode Ⅰ-Ⅱ cracks are obtained.

Key words: beam-column structure, Hamilton variational principle, nonlinear stability, shooting method, Newton-Raphson iterative method, post-buckling

林拜松. PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(5): 431-438.

Lin Bai-song. PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(5): 431-438.

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PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP

PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY CRACK TIP

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