Complete exceptionality, constitutive laws and symmetric form for a nonlinear inelastic rod

DOI10.1016/0020-7462(81)90020-2zbMath0474.73053OpenAlexW2009960521MaRDI QIDQ1159003

Domenico Fusco

Publication date: 1981

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(81)90020-2

zbMATH Keywords

one-dimensionalMaxwellian materialscannot evolve into nonlinear shockfield variables transformationgeneral class of quasilinear constitutive relationsreduce fundamental system of equations to symmetric hyperbolic systemweak discontinuity wave propagating along characteristics

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Impact in solid mechanics (74M20) Theory of constitutive functions in solid mechanics (74A20)

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