Browse > Article
http://dx.doi.org/10.12989/csm.2018.7.2.141

Material model for load rate sensitivity  

Kozar, Ivica (University of Rijeka Faculty of Civil Engineering)
Ibrahimbegovic, Adnan (Sorbonne Universites / Universite de Technologie Compiegne, Laboratoire Roberval de Mecanique Centre de Recherche Royallieu)
Rukavina, Tea (University of Rijeka Faculty of Civil Engineering)
Publication Information
Coupled systems mechanics / v.7, no.2, 2018 , pp. 141-162 More about this Journal
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.
Keywords
lattice material model; nonlinear dynamical system; dynamic loading; Kelvin material model; Maxwell material model; sensitivity;
Citations & Related Records
Times Cited By KSCI : 8  (Citation Analysis)
연도 인용수 순위
1 Do, X.N., Ibrahimbegovic, A. and Brancherie, D. (2015a), "Combined hardening and localized failure with softening plasticity in dynamics", Coupled Syst. Mech., 4(2), 115-136.   DOI
2 Do, X.N., Ibrahimbegovic, A. and Brancherie, D. (2015b), "Localized failure in damage dynamics", Coupled Syst. Mech., 4(3), 211-235.   DOI
3 Ermentrout, B. (2002), Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, SIAM.
4 Holger, K. and Thomas, S. (2003), Nonlinear Time Series Analysis, Cambridge University Press.
5 http://reference.wolfram.com/language (2017), Numerical Solution of Differential-Algebraic Equations, Wolfram.
6 http://www.math.pitt.edu/-bard/xpp/xpp.html (2016), XPPOUT 8.0, University of Pittsburgh.
7 Ibrahimbegovic, A. (2009), Nonlinear Solid Mechanics, Springer
8 Kantz, H. and Schreiber, T. (2003), Nonlinear Time Series Analysis, Cambridge University Press.
9 Keivani, A., Shooshtari, A. and Sani, A.A. (2014), "Forced vibration analysis of a dam-reservoir interaction problem in frequency domain", Coupled Syst. Mech., 3(4), 385-403.   DOI
10 Kerschen, G., Worden, K., Vakakis, A.F. and Golinval, J.C. (2006), "Past, present and future of nonlinear system identification in structural dynamics", Mech. Syst. Sign. Proc., 20, 505-592.   DOI
11 Kozar, I. and Ozbolt, J. (2010), "Some aspects of load-rate sensitivity in visco-elastic microplane material model", Comput. Concrete, 7, 331-346.   DOI
12 Kozar, I., Ozbolt, J. and Pecak, T. (2012), "Load-rate sensitivity in 1D non-linear viscoelastic model", Key Eng. Mater., 488-489, 731-734.
13 Kun, F., Raischel, F., Hidalgo, R.C. and Herrmann, H.J. (2007), "Extensions of fiber bundle models", Lect. Note. Phys., 705, 57-92.
14 Liu, B. and Tang, S. (2016), "Heat jet approach for finite temperature atomic simulations of twodimensional square lattice", Coupled Syst. Mech., 5(4), 371-393.   DOI
15 Marenic, E. and Ibrahimbegovic, A. (2015), "Homogenized elastic properties of graphene for moderate deformations", Coupled Syst. Mech., 4(2), 137-155.   DOI
16 Simo, J.C. and Hughes, T.J.R. (1998), Computational Inelasticity, Springer.
17 Toh, W., Ding, Z., Ng, T.Y. and Liu, Z. (2016), "Light intensity controlled wrinkling patterns in photothermal sensitive hydrogels", Coupled Syst. Mech., 5(4), 315-327.   DOI
18 Ziaolhagh, S.H., Goudarzi, M. and Sani, A.A. (2016), "Free vibration analysis of gravity dam-reservoir system utilizing 21 node-33 Gauss point triangular elements", Coupled Syst. Mech., 5(1), 59-86.   DOI
19 Van, M. and Jan, G.M. (2013), Concrete Fracture a Multiscale Approach, CRC Press Taylor & Francis.