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Analysis of quasistatic frictional contact problems in nonlinear viscoelasticity with large deformations
Faculty
Not Specified
Year:
2013
Type of Publication:
Article
Pages:
109-119
Authors:
Mahmoud, F. F, El-Shafei, A. G, Attia, M. A, Rahman, A. A. Abdel
DOI:
10.1016/j.ijmecsci.2012.11.001
Journal:
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES PERGAMON-ELSEVIER SCIENCE LTD
Volume:
66
Research Area:
Engineering; Mechanics
ISSN
ISI:000316974700013
Keywords :
Nonlinear viscoelasticity, Schapery's model, Frictional contact, Large deformation, Finite element method (FEM), Updated Lagrangian formulation (UL)
Abstract:
A numerical model for the analysis of frictional contact problems in viscoelastic structures, undergoing both material and geometrical nonlinearities is presented. The nonlinear Schapery constitutive viscoelastic model is used for the stress, strain, and time relationships. The constitutive equations are expressed in an incremental form assuming a constant strain rate within each time increment. The hereditary integral is updated at the end of time increment by recursive procedure. The normal contact forces are treated as independent variables. In addition, the regularized Coulomb's friction model is adopted to model the friction throughout the contact interface. The friction resistance is represented by tangential contact stiffness. The Updated Lagrangian approach is adopted to derive the equilibrium equations for the contact systems. The Newton-Raphson iterative scheme is utilized to obtain the converged solution at the end of each time increment. The developed model is verified and compared with the available analytical methods and benchmarks. The applicability of the developed computational incremental iterative scheme is demonstrated by solving two different cases of contact problems with different geometry, loading, and boundary conditions. Numerical results show that material nonlinearity and friction have great effects on viscoelastic contact behavior. (c) 2012 Elsevier Ltd. All rights reserved.
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