Coupled Systems Mechanics

Volume 7, Number 2, 2018, pages 141-162

DOI: 10.12989/csm.2018.7.2.141

Material model for load rate sensitivity

Ivica Kozar, Adnan Ibrahimbegovic and Tea Rukavina

Abstract

This work presents a novel model for analysis of the loading rate influence onto structure response. The model is based on the principles of nonlinear system dynamics, i.e., consists of a system of nonlinear differential equations. In contrast to classical linearized models, this one comprises mass and loading as integral parts of the model. Application of the Kelvin and the Maxwell material models relates the novel formulation to the existing material formulations. All the analysis is performed on a proprietary computer program based on Wolfram Mathematica. This work can be considered as an extended proof of concept for the application of the nonlinear solid model in material response to dynamic loading.

Key Words

lattice material model; nonlinear dynamical system; dynamic loading; Kelvin material model; Maxwell material model; sensitivity

Address

Ivica Kozar: University of Rijeka Faculty of Civil Engineering, Radmile Matejcic 3, 51000 Rijeka, Croatia Adnan Ibrahimbegovic: Sorbonne Universites / Universite de Technologie Compiegne, Laboratoire Roberval de Mecanique Centre de Recherche Royallieu, 60200 Compiegne, France Tea Rukavina: 1) University of Rijeka Faculty of Civil Engineering, Radmile Matejcic 3, 51000 Rijeka, Croatia 2) Sorbonne Universites / Universite de Technologie Compiegne, Laboratoire Roberval de Mecanique Centre de Recherche Royallieu, 60200 Compiegne, France