Sensitivity analysis for viscoelastic bodies in object-oriented finite element environment

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

Abstract

In this paper the constitutive model of thermoviscoelastic model is presented. To obtain the parameter sensitivity equations the direct differentiation method is applied. The paper also deals with the finite element for equilibrium and sensitivity analysis problems. Consistent tangent operator for the model is derived. To integrate the creep evolution equation the backward-Euler scheme is efficiently applied. The thermoviscoelastic model with parameter sensitivity analysis is implemented in object-oriented finite element system. Many advantages of the object-oriented approach in FE programming are described in the paper. Two numerical examples are solved. Very good agreement between the FE and analytical results is observed.

Keywords

viscoelasticity, transient heat transfer, sensitivity analysis, object-oriented approach,

References

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[5] M. Henriksen. Non-linear viscoelastic stress analysis - a finite element approach. Camp. Struct., 18: 133- 139.
Published
Feb 2, 2023
How to Cite
TAUZOWSKI, Piotr; KLEIBER, Michal. Sensitivity analysis for viscoelastic bodies in object-oriented finite element environment. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 2, p. 223-238, feb. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1093>. Date accessed: 13 nov. 2024.
Section
Articles