Viscoelastic Contact/Impact Rheological Models

  • Bernard BrogliatoEmail author
Part of the Communications and Control Engineering book series (CCE)


The first part of this chapter is dedicated to the analysis of viscoelastic and viscoelasto-plastic rheological contact models (linear and nonlinear parallel spring-dashpot assemblies). The linear spring-dashpot model is studied, and a detailed survey of nonlinear models (like Simon-Hunt-Crossley model and its many variations) as well as other types of assemblies with dry friction elements is made. Emphasis is put on the model’s well-posedness, where complementarity systems may be used as a nice mathematical framework. The second part presents some well-posedness results (existence and uniqueness of solutions) of Lagrange dynamics with unilateral constraints and impacts, considering them as the limit of compliant systems when contact stiffness grows unbounded.


Contact Force Contact Model Differential Inclusion Maximal Monotone Linear Complementarity Problem 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.INRIA Rhône-AlpesSaint-ismierFrance

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