Evaluation of a uniaxial, nonlinear, second-order differential overstress model for rate-dependence, creep and relaxation

DOI10.1016/0020-7683(83)90069-0zbMath0519.73030OpenAlexW2081603059MaRDI QIDQ1054507

E. P. Cernocky, Erhard Krempl

Publication date: 1983

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(83)90069-0

zbMATH Keywords

numerical integrationtransient behaviorphase-plane analysisstrain controlmonotonic behaviorstress controlextension to second-order time derivativesfirst and second-order equations exhibit same long time limits for constant stress(strain)-rate loadinglarge time limitlimits are rapidly attainedlinear in first and second time derivatives of stress and strainnonlinear in overstressnonlinear overstress dependence of coefficient functionsoverstress historyPoincare- linearizationproperties of second-order differential equationstrong and mild oscillatory behavior

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Dynamical problems in solid mechanics (74Hxx)

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