Parameter sensitivity formulation for viscoelastic structures

Authors

  • Piotr Tauzowski Institute of Fundamental Technological Research Polish Academy of Sciences
    Poland
  • Michał Kleiber Institute of Fundamental Technological Research Polish Academy of Sciences
    Poland

Abstract

The problem of sensitivity of viscoelastic response with respect to material parameters is studied in the paper. The direct differentiation method is employed. The FEM-related implementation issues are discussed. A number of numerical examples illustrates the theory.

References

[1] H. Poon, M. Ahmad. A material point time integration procedure for anisotropic, thermo rheologicaly simple, viscoelastic solids. Computational Mechanics, 21:236-242, 1998.
[2] M.A. Zocher, S.E. Groves, H. Hilton. A three-dimensional finite element formulation for thermoviscoelastic orthotropic media J. Num Meth. Eng 40: 2267-2288, 1997.
[3] M. Kleiber et al. Parameter sensitivity in nonlinear mechanics. Wiley, 1997.
[4] J. Argyris, J . St. Doitsinis, V. D. Da Silvia. Constitutive modelling and computation of non-linear viscoelastic solids. Comp. Meth. Appl. Mech 88:135-163, 1991.
[5] J.C. Simo, R.L. Taylor. Consistent tangent operator for rate independent elastoplasticity. Comp. Meth. Appl. Mech 48: 182- 118, 1985.

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Published

2023-05-25

Issue

Vol. 6 No. 2 (1999)
pp. 189-203

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Tauzowski, P., & Kleiber, M. (2023). Parameter sensitivity formulation for viscoelastic structures. Computer Assisted Methods in Engineering and Science, 6(2), 189-203. https://cames3.ippt.pan.pl/index.php/cames/article/view/1317

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