Parameter sensitivity formulation for viscoelastic structures

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

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.

Keywords

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.
Published
May 25, 2023
How to Cite
TAUZOWSKI, Piotr; KLEIBER, Michał. Parameter sensitivity formulation for viscoelastic structures. Computer Assisted Methods in Engineering and Science, [S.l.], v. 6, n. 2, p. 189-203, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1317>. Date accessed: 03 july 2024.
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Articles