Bilkent ME Department

Computational Multiscale Mechanics Laboratory (CMML)

Members:

Projects:

Activities:




Our research interests lie within the general theoretical and numerical framework of computational mechanics with a special focus on the investigation of problems involving strongly coupled physical phenomena that naturally occur over multiple length and time scales. The ability to convey information across scales is, without doubt, essential for a better understanding of the sources of physical behavior observed on higher scales and helps circumvent the often difficult task of constructing sufficiently accurate phenomenological models to describe these observations. To improve the accuracy and broaden the applicability of robust information transfer schemes, we have been focusing our work along two major research paths, namely the investigation of volumetric and contact homogenization techniques in a fully nonlinear setting for problems involving hierarchical bulk and interface topologies.

Some of the research we have been conducting involves the finite thermoelasticity analysis of heterogeneous media, model reduction through database approaches, simulation of granular interfaces by coupling the Discrete Element Method (DEM) with the Finite Element Method (FEM) as well as the finite thermomechanical and elastohydrodynamic analysis of microrough contact interfaces. Additionally, we develop robust computational contact mechanics algorithms within the isogeometric analysis framework. Links to some of our current projects are provided above.

A central theme in our research activities is the pursuit and development of novel coupling strategies for challenging multiphysics problems. This necessitates a well-balanced combination of theory and computation. Due to the non-standard coupling problems that arise, we have been developing our own simulation packages which are centralized around FEM and DEM.



Positions:

We continuously seek highly motivated MS/PhD students and post-doctoral fellows with proven outstanding academic potential. If you are interested in joining CMML, please contact Prof. Temizer for current positions available.

Students from diverse educational backgrounds such as Civil Engineering or Physics are also encouraged to apply. We always welcome qualified undergraduate students who wish to participate in our ongoing research activities.


Alumni:

Karsu İ. Kılıç - BS student (ME '16) - now a PhD student @ Stanford University
Abdullah Waseem - MS student (ME '16) - now a PhD student @ Ecole Centrale de Nantes
İbrahim N. Yıldıran - BS student (ME '16) - Co-advisor: Dr. B. Çetin - now a MS student @ Bilkent ME
Gökberk Kabacaoğlu - BS student (ME '14) - now a PhD student @ ICES (UT Austin)


Publications:

    Journal Papers

  • Waseem, A., Guilleminot, J., Temizer, İ. (2017). "Stochastic Multiscale Analysis in Hydrodynamic Lubrication", International Journal for Numerical Methods in Engineering (in press)
    DOI: 10.1002/nme.5546

  • Waseem, A., Temizer, İ., Kato, J., Terada, K. (2017). "Micro-Texture Design and Optimization in Hydrodynamic Lubrication via Two-Scale Analysis", (submitted)

  • Yıldıran, İ.N., Temizer, İ., Çetin, B. (2017). "Homogenization in Hydrodynamic Lubrication: Microscopic Regimes and Re-Entrant Textures", Journal of Tribology (In press)

  • Kılıç, K.İ., Temizer, İ. (2016). "Tuning Macroscopic Sliding Friction at Soft Contact Interfaces: Interaction of Bulk and Surface Heterogeneities", Tribology International, v.104 p.83-97
    DOI: 10.1016/j.triboint.2016.08.024

  • Waseem, A., Temizer, İ., Kato, J., Terada, K. (2016). "Homogenization-Based Design of Surface Textures in Hydrodynamic Lubrication", International Journal for Numerical Methods in Engineering, v.108 p.1427-1450
    DOI: 10.1002/nme.5256

  • Temizer, İ., Stupkiewicz, S. (2016). "Formulation of the Reynolds Equation on a Time-Dependent Lubrication Surface", Proceedings of the Royal Society A, v.472 p.20160032
    DOI: 10.1098/rspa.2016.0032

  • Temizer, İ. (2016). "Sliding Friction Across the Scales: Thermomechanical Interactions and Dissipation Partitioning", Journal of the Mechanics and Physics of Solids, v.89 p.126-148
    DOI: 10.1016/j.jmps.2016.01.012

  • Hesch, C., Franke, M., Dittmann, M., Temizer, İ. (2016). "Hierarchical NURBS and a higher-order phase-field approach to fracture for finite-deformation contact problems", Computer Methods in Applied Mechanics and Engineering, v.301 p.242-258
    DOI: 10.1016/j.cma.2015.12.011

  • Temizer, İ., Hesch, C. (2016). "Hierarchical NURBS in Frictionless Contact", Computer Methods in Applied Mechanics and Engineering, v.299 p.161-186
    DOI: 10.1016/j.cma.2015.11.006

  • Kabacaoğlu, G., Temizer, İ. (2015). "Homogenization of Soft Interfaces in Time-Dependent Hydrodynamic Lubrication", Computational Mechanics, v.56 p.421-441
    DOI: 10.1007/s00466-015-1179-5

  • Temizer, İ. (2014). "Computational Homogenization of Soft Matter Friction: Isogeometric Framework and Elastic Boundary Layers", International Journal for Numerical Methods in Engineering, v.100 p.953-981
    DOI: 10.1002/nme.4778

  • Temizer, İ., Abdalla, M., Gürdal, Z. (2014). "An Interior Point Method for Isogeometric Contact", Computer Methods in Applied Mechanics and Engineering, v.276 p.589-611
    DOI: 10.1016/j.cma.2014.03.018

  • Dittmann, M., Franke, M., Temizer, İ., Hesch, C. (2014). "Isogeometric analysis and thermomechanical mortar contact problems", Computer Methods in Applied Mechanics and Engineering, v.274 p.192-212
    DOI: 10.1016/j.cma.2014.02.012

  • Wu, T., Temizer, İ., Wriggers, P. (2014). "Multiscale Hydro-Thermo-Chemo-Mechanical Coupling: Application to Alkali-Silica Reaction", Computational Materials Science, v.84 p.381-395
    DOI: 10.1016/j.commatsci.2013.12.029

  • Temizer, İ. (2014). "Multiscale Thermomechanical Contact: Computational Homogenization with Isogeometric Analysis", International Journal for Numerical Methods in Engineering, v.97 p.582-607
    DOI: 10.1002/nme.4604

  • Temizer, İ. (2013). "Granular Contact Interfaces with Non-Circular Particles", Tribology International, v.67 p.229–239
    DOI: 10.1016/j.triboint.2013.08.005

  • Temizer, İ., Wu, T., Wriggers, P. (2013). "On the Optimality of the Window Method in Computational Homogenization", International Journal of Engineering Science, v.64 p.66-73
    DOI: 10.1016/j.ijengsci.2012.12.007

  • Temizer, İ. (2013). "A Mixed Formulation of Mortar-Based Contact with Friction", Computer Methods in Applied Mechanics and Engineering, v.255 p.183-195
    DOI: 10.1016/j.cma.2012.12.002

  • Wu, T., Temizer, İ., Wriggers, P. (2013). "Computational Thermal Homogenization of Concrete", Cement & Concrete Composites, v.35 p.59-70
    DOI: 10.1016/j.cemconcomp.2012.08.026

  • Temizer, İ. (2012). "A Mixed Formulation of Mortar-Based Frictionless Contact", Computer Methods in Applied Mechanics and Engineering, v.223-224 p.173-185
    DOI: 10.1016/j.cma.2012.02.017

  • Budt, M., Temizer, İ., Wriggers, P. (2012). "A Computational Homogenization Framework for Soft Elastohydrodynamic Lubrication", Computational Mechanics, v.49 p.749-767
    DOI: 10.1007/s00466-012-0709-7

  • Temizer, İ. (2012). "On the Asymptotic Expansion Treatment of Two-Scale Finite Thermoelasticity.", International Journal of Engineering Science, v.53 p.74-84
    DOI: 10.1016/j.ijengsci.2012.01.003

  • Temizer, İ., Wriggers, P., Hughes, T. (2012). "Three-Dimensional Mortar-Based Frictional Contact Treatment in Isogeometric Analysis with NURBS", Computer Methods in Applied Mechanics and Engineering, v.209-212 p.115-128
    DOI: 10.1016/j.cma.2011.10.014

  • De Lorenzis, L., Temizer, İ., Wriggers, P., Zavarise, G. (2011). "A large deformation frictional contact formulation using NURBS-based isogeometric analysis", International Journal for Numerical Methods in Engineering, v.87 p.1278-1300
    DOI: 10.1002/nme.3159

  • Temizer, İ., Wriggers, P., Hughes, T. (2011). "Contact Treatment in Isogeometric Analysis with NURBS", Computer Methods in Applied Mechanics and Engineering, v.200 p.1100-1112
    DOI: 10.1016/j.cma.2010.11.020

  • Temizer, İ., Wriggers, P. (2011). "An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures", Computer Methods in Applied Mechanics and Engineering, v.200 p.2639-2661
    DOI: 10.1016/j.cma.2010.06.013

  • Temizer, İ., Wriggers, P. (2011). "Homogenization in Finite Thermoelasticity", Journal of the Mechanics and Physics of Solids, v.59 p.344–372
    DOI: 10.1016/j.jmps.2010.10.004

  • Temizer, İ. (2011). "Thermomechanical Contact Homogenization with Random Rough Surfaces and Microscopic Contact Resistance", Tribology International, v.44 p.114-124
    DOI: 10.1016/j.triboint.2010.09.011

  • Ma, J., Temizer, İ., Wriggers, P. (2011). "Random homogenization analysis in linear elasticity based on analytical bounds and estimates", International Journal of Solids and Structures, v.48(2) p.280-291
    DOI: 10.1016/j.ijsolstr.2010.10.004

  • Temizer, İ., Wriggers, P. (2010). "A micromechanically motivated higher-order continuum formulation of linear thermal conduction", Zeitschrift für Angewandte Mathematik und Mechanik, v.90(10-11) p.768 – 782
    DOI: 10.1002/zamm.201000009

  • Temizer, İ., Wriggers, P. (2010). "Thermal contact conductance characterization via computational contact homogenization: A finite deformation theory framework", International Journal for Numerical Methods in Engineering, v.83(1) p.24-58
    DOI: 10.1002/nme.2822

  • Temizer, İ., Wriggers, P. (2010). "Inelastic analysis of granular interfaces via computational contact homogenization", International Journal for Numerical Methods in Engineering, v.84(8) p.883-915
    DOI: 10.1002/nme.2921

  • Temizer, İ., Wriggers, P. (2008). "On a mass conservation criterion in homogenization", Journal of Applied Mechanics, Transactions ASME, v.75 p.054503
    DOI: 10.1115/1.2913042

  • Temizer, İ., Wriggers, P. (2008). "A multiscale contact homogenization technique for the modeling of third bodies in the contact interface", Computer Methods in Applied Mechanics and Engineering, v.198(3-4) p.377-396
    DOI: 10.1016/j.cma.2008.08.008

  • Temizer, İ., Wriggers, P. (2008). "On the computation of the macroscopic tangent for multiscale volumetric homogenization problems", Computer Methods in Applied Mechanics and Engineering, v.198(3-4) p.495-510
    DOI: 10.1016/j.cma.2008.08.018

  • Temizer, İ., Zohdi, T.I. (2007). "A numerical method for homogenization in non-linear elasticity", Computational Mechanics, v.40(2) p.281-298
    DOI: 10.1007/s00466-006-0097-y

  • Temizer, İ., Wriggers, P. (2007). "An adaptive method for homogenization in orthotropic nonlinear elasticity", Computer Methods in Applied Mechanics and Engineering, v.196(35-36) p.3409-3423
    DOI: 10.1016/j.cma.2007.03.017

  • Temizer, İ., Zohdi, T.I. (2005). "Agglomeration and refragmentation in microscale granular flows", International Journal of Fracture, v.131(3) p.L37-L44
    DOI: 10.1007/s10704-005-2598-7



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