Profile of Julia Orlik

Fields of Activity / Competences

• Homogenization in Periodic Structures
• Asymptotic methods for PDEs
• Applied Analysis
• Elasticity / viscoelasticity / plasticity for fiber (particle) composites, porous materials, textiles
• Strength / lifetime / fatigue / wear
• Multiscale contact problems
• Modeling of bone ingrowth or rebuilding

Publications

Major Publications

• 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.

Other Publications

• 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.
• 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.
• 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.
• 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.:
  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.