ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE THICK-WALLED TUBE

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (3): 241-248.

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ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE THICK-WALLED TUBE

Zhou Ci-qing, Qiu Yi-yuan

Department of Mathematics and Mechanics, South China Institute of Tehnology, Guangzhou

Received:1983-05-15 Online:1985-03-18 Published:1985-03-18

Abstract

Abstract: In the present paper, Tsai-Hill Yield Criterion in a state of plane strain is derived for incompressible and compressible materials respectively The elastoplastic stress and displacement fields of cylindrically orthotropic composite thick-walled tube under uniform radial pressure are studied. The formulas of the yield pressure, Iimit pressure and region of shakedown are obtained.

Key words: relativity, Birkhoffian system, Pfaff-Birkhoff-DAlembert principle, form invariance, Noether symmetry, conserved quantity

Zhou Ci-qing;Qiu Yi-yuan. ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE THICK-WALLED TUBE. Applied Mathematics and Mechanics (English Edition), 1985, 6(3): 241-248.

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ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE THICK-WALLED TUBE

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