The application of nonlinear Gauge method to the analysis of local finite deformation in the necking of cylindrical bar

DOI10.1007/BF02481890zbMath0948.74006OpenAlexW1977239886MaRDI QIDQ1305361

Zhida Chen, Ximin Cui

Publication date: 26 November 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481890

zbMATH Keywords

uniaxial tensioncylindrical barstrain distributionlocalized deformationnonlinear geometric field theoryaxially symmetric finite deformationnonlinear gauge approximate methodstrain-rotation decomposition theorem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20)

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A biographical note on the late Professor Chen Zhida

Cites Work

• A general theory of uniqueness and stability in elastic-plastic solids
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• Finite element analysis of deformation of strain-softening materials
• On the numerical integration of a class of pressure‐dependent plasticity models