CERTAIN A PRIORI INEQUALITIES AND A PECULIAR ELASTIC MATERIAL

DOI10.1093/qjmam/36.3.351zbMath0525.73043OpenAlexW2096441111MaRDI QIDQ3038743

J. Ernest Dunn

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1093/qjmam/36.3.351

zbMATH Keywords

strong ellipticityempiricalBaker-Erickseneven combination of five inequalities proves to be insufficient in securing physically realistic material responsefive a-priori constitutive inequalitieshyperelastic subclassmean stress invariable for all strainsno natural stateordered forcesstrengthened tension-extensionundistorted stateuniform dilatation of any amount results in same hydrostatic pressure

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

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