Calculation of shakedown load factor of pavements by using lower-bound theorem with the interior point method

Nguyen, A.-D.; Hachemi, A.; Weichert, D.

Artykuł - szczegóły

Tytuł artykułu

Calculation of shakedown load factor of pavements by using lower-bound theorem with the interior point method

Autorzy

Nguyen A.-D. , Hachemi A. , Weichert D.

Identyfikatory

Warianty tytułu

Obliczenie obciążenia shakedown nawierzchni z wykorzystaniem twierdzenia o dolnym przedziale z punktem wewnętrznym

Języki publikacji

Abstrakty

A method for the shakedown analysis of pavements under cyclic, in particular rolling contact loading is presented. Repeated sliding/rolling line contact as well as repeated stationary line and point contacts is considered. The proposed numerical method, which is based on finite elements and the inherent optimisation problem to determine the shakedown factors, is solved with the interior point method. Some numerical results are presented.

Przestawiono metodę badania obciążenia shakedown nawierzchni przy obciążeniach cyklicznych, w szczególności w kontakcie tocznego. Zbadano kontakt ślizgania/toczenia jak również kontakt liniowy. Zaproponowano metodę rozwiązywania zagadnienia opartą na metodzie elementów skończonych i inherentnej optymalizacji.

Słowa kluczowe

shakedown load finite element method

obciążenie shakedown metoda elementów skończonych

Wydawca

Wydawnictwo Politechniki Świętokrzyskiej

Czasopismo

Zeszyty Naukowe Politechniki Świętokrzyskiej. Nauki Techniczne

Rocznik

2007

Tom

Z. 6

Strony

181--190

Opis fizyczny

Bibliogr. 20 poz., rys., wykr., wzory

Twórcy

autor

Nguyen A.-D.

autor

Hachemi A.

autor

Weichert D.

Institute of General Mechanics, RWTH-Aachen University, Templergaraben 64, 52056 Aachen, Germany

Bibliografia

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3. Melan E., Theorie statisch unbestimmter Systeme aus ideal plastischem Baustoff. Sitzungsber. Akad. der Wissenschaften in Wien 145 IIa (1936), 195-218.
4. Koiter W.T., A new general theorem on shakedown of elastic-plastic structures. In: Proc. K. Ned. Akad. Wet. B59 (1956), 24-34.
5. Sharp R.W., Booker J.R., Shakedown of pavements under moving surface loads. J. Transp. Eng. 110 (1984), 1-14.
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9. Shiau S.H., Yu H.S., Shakedown analysis of flexible pavements. In: Proc. of the John Booker, Memorial Symposium, ed. by Smith D.W., Carter J.P., University of Sydney, Australia (2000), 643-653.
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11. Yu H.S., Three dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads. In: Proceedings of the Royal Society of London, Series A 461 (2005), 1951-1964.
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15. Wächter A., Biegler L.T., On the Implementation of a Primal-Dual Interior Point Filter Line Search Algorithm for Large-Scale Non-linear Programming. IBM Research Report RC 23149 IBM, T.J. Watson Research Center, Yorktown Heights, NY. USA, March 12, 2004, 1-28.
16. Johnson K.L., The application of shakedown principles in rolling and sliding contact. Eur. J. Mech. A/Solids 11 (1992), Special issue, 155-172.
17. Ponter A.R.S., Hearle A.D., Johnson K.L., Application of the kinematical shakedown theorem to rolling and sliding point contacts. J. Mech. Phys. Solids 33 (1985), 339-362.
18. Gross-Weege J., On the numerical assessment of the safety factor of elastic-plastic structures under variable loading. Int. J. Mech. Sci. 39 (1997), 417-433.
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20. Aboudi A.J., Sloan S.W., A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion. Computers and Structures 54 (1995), 427-441.

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BSW1-0056-0014