Profil Julia Orlik

Schwerpunkte/Kompetenzen

• Homogenisierung in periodischen Strukturen
• Asymptotische Methoden für PDEs
• Angewandte Analysis
• Elastizität / Viskoelastizität / Plastizität für Faser-(Partikel-)Verbundwerkstoffe, Poröse Materialien, Textilien
• Festigkeit / Lebensdauer / Ermüdung / Verschleiß
• Multiskalige Kontaktprobleme
• Modellierung von Knocheneinwachsen bzw. -umbau

Publikationen

Highlightpublikationen

• Griso, G.; Migunova, A.; Orlik, J.:
  Homogenization via unfolding in periodic layer with contact.
  Submitted in Asymptotic Analysis, arXiv:1511.07744, ~24.11.2015.
  
• Griso, G.; Migunova, A.; Orlik, J.:
  Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams.
  submitted in SIAM Journal Math. Anal. (SIMA), arXiv:1511.04620, 20.07.2015 (under review).
  
• Orlik, J.; Shiryaev, V.:
  Evolutional contact with Coulomb's friction on a periodic Microstructure.
  Integral Methods in Science and Engineering, Springer Book, 321843 ed. By Constanda, 2015.

Weitere Publikationen

• Cioranescu, D.; Damlamian, A.; Orlik, J.:
  Two-scale analysis for homogenization of multi-scale contact problems in elasticity.
  Asymptotic Analysis, Vol. 82, No. 3-4, 2013.
• Bare, Z.; Fillep, S.; Orlik, J.; Steinmann, P.:
  Homogenization of elasticity in periodically heterogeneous bodies with contact on the microstructural elements.
  Mathematics & Mechanics of Solids, 2013.
  
• Bare, Z.; Orlik, J.; Panasenko, G.:
  Asymptotics for 3D elasticity problem with Robin interface condition in a thin fiber.
  Aplicable Analysis, 2013.
• Bare; Contreras, Z.; Orlik, J.:
  Asymptotics for a thin elastic fiber in contact with a rigid foundation.
  PAMM 2011.
• Nam, A.; Orlik, J.:
  Simulation of the Effective Properties of Heterogeneous Textile Layer by Asymptotic Approach.
  GAMM 2010.
• Bare; Contreras, Z.; A. Nam; Orlik, J.:
  Asymptotics for Thin Fibers Being in Contact.
  GAMM 2010.
• Andrä, H.; Iliev, O.; Nam, A.; Orlik, J.:
  Effective mechanical properties of technical textiles via asymptotic homogenization.
  Structural Membrane 2009 conference.
• Andrä, H.; Iliev, O.; Nam, A.; Orlik, J.:
  Calculation of effective mechanical properties of technical textile via asymptotic homogenization.
  poster session, International Conference on Challenges of Porous Media, Kaiserslautern 2009.
• Nam, A.; Orlik, J.:
  Homogenization for contact problems with friction on rough interface.
  Vol. 8, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
  p 10749-10750, Bremen 2008.
• Andrä, H.; Orlik, J.;Schulz, V. ; Steiner, K.; Zemitis, A.:
  Software KneeMech for Structural Simulation of the Bone-Prosthesis-System.
  Berichte des Fraunhofer ITWM, 2008.
• Nam, A.; Orlik, J.:
  Calculation of effective mechanical properties of textiles by asymptotic approach.
  PAMM 2008, Proceedings of ICIAM07, 16-20 Jul 2007.
• Andrä, H.; Orlik, J.; A. Zemitis:
  Multiscale solution of the mechanical contact between coated knee prosthesis and bone.
  FEMM-Workshop in Biomechanics, Ulm, 2007.
• Andrä, H.; Orlik, J.; A. Zemitis:
  Multiscale solution of the mechanical contact between coated knee prosthesis and bone.
  Proceedings of ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids, Ed. by A. Ibrahimbegovic, F. Dias, H. Matthies, P. Wriggers (eds.), pp. 195-201, France, Nov 28-30, 2007.
  
• Mikhailov, S.E.; Orlik, J.:
  Asymptotic homogenization in strength and fatigue durability analysis of composites.
  Proceedings of IUTAM Symposium 02/4, "Singularities, Asymptotics and Homogenisation in Problems of Mechanics"Univ. of Liverpool, UK, Kluwer 2002.
• Mikhailov, S.E.; Orlik, J.:
  Homogenization Methods and Macro-Strength of Composites.
  Proc. Appl. Math. Mech. (PAMM), ISSN: 1617-7061, Vol.1, 2002, 411-413.
• Middleton, J.; Orlik, J.; Zhurov, A.:
  Deriving the macrocontact condition between cementless hip-replacement and bone from the micro-geometry of the replacement coating.
  Proceedings of the fifth international symposium on computer methods in Biomechanics & Biomedical Engineering. 31.10-3.11.2001, Rome.
• Orlik, J.:
  Transmission and homogenization in hereditary viscoelasticity with ageing and shrinkage.
  PhD-Thesis, Shaker Verlag, 2000.
• Orlik, J.:
  Approach for average elastic and shrinkage composite properties calculation and its application to dental filling material.
  Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vo.79, Suppl. 2, p.429-430, 1999.
• Hubsch, P.; Middleton, J.; Orlik, J.;, Seibold; S.:
  Modelling and identification of dental restorative materials.
  Identification in Engineering Systems: Proceedings of the Second International Conference held in Swansea, March 1999, ed. by M. I. Friswell, J. E. Mottershead and A. W. Lees, The Cromwell Press Ltd, pp. 220-231, 1999.
• Hubsch, P.; Middleton, J.; Orlik, J.; Seibold, S.:
  Identification of the visco-elastic properties of curing dental composites.
  Recent Advances in Computer Methods in Biomechanics and Biomedical Engineering, Lisbon, Oct 1999.
• Mikhajlov, S.E.; Orlik, J.:
  Equivalent elastic and shrinkage composite properties and their application to the hardening of the filling for teeth.
  Damage and Fracture Mechanics: Computer aided assessment and control, ed. by A. Carpentery and C. A. Brebbia, Computational Mechanics Publ., pp. 217-227, 1998.