Application of local numerical homogenization and hp-adaptive FEM for modeling of heterogeneous viscoelastic materials

• Autorzy: Klimczak M. , Cecot W.
• Języki publikacji: EN

Abstrakty

EN

In this paper the application of local numerical homogenization and hp-adaptive FEM for modeling of non-periodic heterogeneous viscoelastic materials is presented. These two methods were combined and modified in order to provide a novel tool for reliable and efficient analyses of structures made of the above mentioned materials. Short descriptions of both numerical methods as well as our approach are provided. Several numerical examples are presented in order to validate the effectiveness of the proposed method.

Słowa kluczowe

EN

local numerical homogenization; hp-adaptive FEM; viscoelasticity

PL

homogenizacja numeryczna; MES; metoda elementów skończonych; lepkosprężystość

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2015
• Tom: Vol. 63, iss. 3
• Strony: 317--327
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Klimczak M.

• Cracow University of Technology Warszawska 24, 31-155 Cracow, Poland

autor

Cecot W.

• Cracow University of Technology Warszawska 24, 31-155 Cracow, Poland

Bibliografia

• 1. Geers M., Kouznetsova V., Brekelmans W., Multi-scale first-order and second-order computational homogenization of microstructures towards continua, International Journal for Multiscale Computational Engineering, 1, 4, 371–386, 2003.
• 2. Mang H. A., Aigner E., Eberhardsteiner J., Hackspiel C., Hellmich Ch., Hofstetter K., Lackner R., Pichler B., Scheiner St., Sturzenbecher R. ¨ , Computational multiscale analysis in civil engineering, Interaction and Multiscale Mechanics, 2, 2, 109–128, 2009.
• 3. Jhurani C. K., Multiscale modeling using goal-oriented adaptivity and numerical homogenization, PhD thesis, The University of Texas, Austin, 2009.
• 4. Bensoussan A., Lions J. .L., Papanicolaou G., Asymptotic analysis for periodic structures, North-Holland, Amsterdam, 1978.
• 5. Więckowski Z., Dual finite element methods in homogenization for elastic-plastic fibrous composite material, Int. J. Plasticity, 16, 199–221, 2000.
• 6. Collop A. C., Scarpas A. T., Kasbergen C., de Bondt A., Development and finite element implementation of a stress dependent elasto-visco-plastic constitutive model with damage for asphalt, Transportation Research Record 1832, 96–104, Washington D.C., 2003.
• 7. Woldekidan M.F., Response modeling of bitumen, bituminous mastic and mortar, PhD thesis, Technische Universiteit Delft, 2011.
• 8. Woldekidan M .F., Huurman M., Vaccari E., Poot M., Meso mechanical analysis of asphalt concrete response, Proceedings of the International Symposium on Heavy Duty Asphalt Pavements and Bridge Deck Pavements, ISAP, China, 2012.
• 9. Jhurani C. K., Demkowicz L., ICES Reports 09-34÷09-36, The University of Texas, Austin, 2009.
• 10. Klimczak M., Cecot W., Local homogenization in modeling of asphalt pavement structures, Technical Transactions, 3, 1-B/2011, 87–94, 2011.
• 11. Klimczak M., Cecot W., Local numerical homogenization in modeling of heterogeneous visco-elastic materials, Computer Methods in Materials Science, 13, 2, 226–230, 2013.
• 12. Demkowicz L., Computing with hp-Adaptive Finite Element Method, Vol. 1: One and Two Dimensional Elliptic and Maxwell Problems, Chapman and Hall, 2006.
• 13. Demkowicz L., Kurtz J., Pardo D., Paszynski M., Rachowicz W., Zdunek A., Computing with hp-Adaptive Finite Element Method, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications, Chapman and Hall, 2007.