The effect of material density on load rate sensitivity in nonlinear viscoelastic material models

  • Ivica KožarEmail author
  • Tea Rukavina


This work presents the results of a numerical sensitivity analysis of material density on crack propagation in nonlinear viscoelastic softening material models. Two basic material models are analyzed: Maxwell and Kelvin material models, under the loading with changing rate (slow or fast impact loading). The material is discretized as a lattice model, and the analysis is performed on simple examples consisting of several lattice bars. The mathematical description is based on the theory of dynamical systems, i.e., it is a system of nonlinear differential equations for Kelvin, and a system of nonlinear differential-algebraic equations for Maxwell material model. Sensitivity of displacements on mass and load rate accompanies the analysis.


Nonlinear softening Maxwell material model Nonlinear softening Kelvin material model Load rate sensitivity Global parameter sensitivity 



The Croatian Science Foundation Grant No. 9068 Multi-scale concrete model with parameter identification supported this work. The support is gratefully acknowledged.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of Rijeka, Faculty of Civil EngineeringRijekaCroatia
  2. 2.Université de Technologie de Compiègne - Sorbonne Universités, Laboratoire Roberval de MécaniqueCompiègneFrance

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