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

• Autorzy: Tauzowski P. , Kleiber M.
• Konferencja: Optimal design of materials and structures OPTY-2001 (August 27-29, 2001 ; Poznań ; Polska)
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

viscoelasticity; sensitivity analysis; heat transfer

PL

lepkosprężystość; analiza czułości; przepływ ciepła

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 2
• Strony: 223--238
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Tauzowski P.

• Polish Academy of Sciences, Institute of Fundamental Technological Research [Polska Akademia Nauk, Instytut Podstawowych Problemów Techniki], ul. Świętokrzyska 21, 00-049 Warszawa, Poland

autor

Kleiber M.

• Polish Academy of Sciences, Institute of Fundamental Technological Research [Polska Akademia Nauk, Instytut Podstawowych Problemów Techniki], ul. Świętokrzyska 21, 00-049 Warszawa, Poland

Bibliografia

• [1] H.S. Carslaw, J.C. Jaeger. Conduction of Heat in Solids. Clarendon Press, Oxford, 1959.
• [2] P. Coad, J. Nicola. Programowanie Obiektowe. Ofic. Wyd. READ ME, 1996.
• [3] P. Coad, E. Yourdon. Analiza Obiektowa. Ofic. Wyd. READ ME, 1996.
• [4] P. Coad, E. Yourdon. Projektowanie Obiektowe. Ofic. Wyd. READ ME, 1996.
• [5] M. Henriksen. Non-linear viscoelastic stress analysis - a finite element approach. Camp. Struct., 18: 133-139.
• [6] M. Kleiber, T.D. Hien, H. Antunez, P. Kowalczyk. Parameter Sensitivity in Nonlinear Mechanics. Wiley, 1997.
• [7] R.I. Mackie. Finite Element Analysis. Saxe-Coburg Publications, 2001.
• [8] H. Poon, M. Ahmad. A material point time integration procedure for anisotropic, thermo-rheologically simple, viscoelastic solids. Camp. Mech., 21: 236-242, 1998.