Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation

DOI10.1090/S0033-569X-05-00954-1zbMath1082.74004OpenAlexW2156545742MaRDI QIDQ5700385

Ray W. Ogden, Jose Merodio

Publication date: 28 October 2005

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-05-00954-1

zbMATH Keywords

weak discontinuityloss of ellipticityfiber kinkingfiber splitting

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shocks and related discontinuities in solid mechanics (74J40) Random materials and composite materials (74A40)

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Cites Work

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• Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
• A Nondimensional Number to Classify Composite Compressive Failure
• A Note on Strong Ellipticity for Transversely Isotropic Linearly Elastic Solids