HIERARCHICAL ISOGEOMETRIC ANALYSIS TECHNOLOGY AND COMPUTATIONAL CONTACT MECHANICS

Tamamlanm Proje

TÜBTAK (The Scientific and Technological Research Council of Turkey) - 1001 Program (115M678)

PROJECT DURATION

Start Date: September 1st, 2015
Completion Date: September 1st, 2017

SUMMERY

The purpose of this project is to conduct fundamental theoretical and numerical research on novel isogeometric analysis (IGA) technologies in the field of computational mechanics, and to develop algorithms which will enable the analysis of contact interfaces with high efficiency and robustness. Towards this purpose, this project will concentrate on the major goal of developing novel mortar-based contact algorithms which are based on surface discretizations that emanate from the projection of hierarchical NURBS (H-NURBS) based volume discretizations to surfaces. The mortar methods to be employed will be chosen from lumped and unconstrained approaches, which will be applied to quastistatic and dynamic thermomechanical contact problems with and without friction in the context of both exterior and interior point methods, thus spanning a broad range of theoretical and numerical settings.

The work that has been reported in the publication(s) listed below was (partially) funded by this project.

Hierarchical Isogeometric Analysis Technology and Computational Contact Mechanics

RELATED PUBLICATIONS

  • akal, B.A., Temizer, ., Terada, K., Kato, J. (2019). "Microscopic Design and Optimization of Hydrodynamically Lubricated Dissipative Interfaces", International Journal for Numerical Methods in Engineering, v.120 p.153-178, DOI: http://dx.doi.org/10.1002/nme.6129
  • Nishi, S., Terada, K., Temizer, . (2019). "Isogeometric analysis for numerical plate testing of dry woven fabrics involving frictional contact at meso-scale", Computational Mechanics, v.64 p.211-229, DOI: http://dx.doi.org/10.1007/s00466-018-1666-6
  • Waseem, A., Guilleminot, J., Temizer, . (2017). "Stochastic Multiscale Analysis in Hydrodynamic Lubrication", International Journal for Numerical Methods in Engineering, v.112 p.1070-1093, DOI: http://dx.doi.org/10.1002/nme.5546
  • Waseem, A., Temizer, ., Kato, J., Terada, K. (2017). "Micro-Texture Design and Optimization in Hydrodynamic Lubrication via Two-Scale Analysis", Structural and Multidisciplinary Optimization, v.56 p.227-248, DOI: http://dx.doi.org/10.1007/s00158-017-1713-5
  • Yldran, .N., Temizer, ., etin, B. (2017). "Homogenization in Hydrodynamic Lubrication: Microscopic Regimes and Re-Entrant Textures", Journal of Tribology, v.140 p.011701(1-19), Full Text, DOI: http://tribology.asmedigitalcollection.asme.org/article.aspx?articleid=2628741
  • Kl, K.., Temizer, . (2016). "Tuning Macroscopic Sliding Friction at Soft Contact Interfaces: Interaction of Bulk and Surface Heterogeneities", Tribology International, v.104 p.83-97, DOI: http://dx.doi.org/10.1016/j.triboint.2016.08.024
  • Waseem, A., Temizer, ., 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: http://dx.doi.org/10.1002/nme.5256
  • Temizer, ., 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: http://dx.doi.org/10.1098/rspa.2016.0032
  • Temizer, . (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: http://dx.doi.org/10.1016/j.jmps.2016.01.012
  • Hesch, C., Franke, M., Dittmann, M., Temizer, . (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: http://dx.doi.org/10.1016/j.cma.2015.12.011
  • Temizer, ., Hesch, C. (2016). "Hierarchical NURBS in Frictionless Contact", Computer Methods in Applied Mechanics and Engineering, v.299 p.161-186, DOI: http://dx.doi.org/10.1016/j.cma.2015.11.006
  • Kabacaolu, G., Temizer, . (2015). "Homogenization of Soft Interfaces in Time-Dependent Hydrodynamic Lubrication", Computational Mechanics, v.56 p.421-441, DOI: http://dx.doi.org/10.1007/s00466-015-1179-5
  • Temizer, . (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: http://dx.doi.org/10.1002/nme.4778
  • Temizer, ., Abdalla, M., Grdal, Z. (2014). "An Interior Point Method for Isogeometric Contact", Computer Methods in Applied Mechanics and Engineering, v.276 p.589-611, DOI: http://dx.doi.org/10.1016/j.cma.2014.03.018
  • Dittmann, M., Franke, M., Temizer, ., Hesch, C. (2014). "Isogeometric analysis and thermomechanical mortar contact problems", Computer Methods in Applied Mechanics and Engineering, v.274 p.192-212, DOI: http://dx.doi.org/10.1016/j.cma.2014.02.012
  • Wu, T., Temizer, ., Wriggers, P. (2014). "Multiscale Hydro-Thermo-Chemo-Mechanical Coupling: Application to Alkali-Silica Reaction", Computational Materials Science, v.84 p.381-395, DOI: http://dx.doi.org/10.1016/j.commatsci.2013.12.029
  • Temizer, . (2014). "Multiscale Thermomechanical Contact: Computational Homogenization with Isogeometric Analysis", International Journal for Numerical Methods in Engineering, v.97 p.582-607, DOI: http://dx.doi.org/10.1002/nme.4604
  • Temizer, . (2013). "Granular Contact Interfaces with Non-Circular Particles", Tribology International, v.67 p.229239, DOI: http://dx.doi.org/10.1016/j.triboint.2013.08.005
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.ijengsci.2012.12.007
  • Temizer, . (2013). "A Mixed Formulation of Mortar-Based Contact with Friction", Computer Methods in Applied Mechanics and Engineering, v.255 p.183-195, DOI: http://dx.doi.org/10.1016/j.cma.2012.12.002
  • Wu, T., Temizer, ., Wriggers, P. (2013). "Computational Thermal Homogenization of Concrete", Cement & Concrete Composites, v.35 p.59-70, DOI: http://dx.doi.org/10.1016/j.cemconcomp.2012.08.026
  • Temizer, . (2012). "A Mixed Formulation of Mortar-Based Frictionless Contact", Computer Methods in Applied Mechanics and Engineering, v.223-224 p.173-185, DOI: http://dx.doi.org/10.1016/j.cma.2012.02.017
  • Budt, M., Temizer, ., Wriggers, P. (2012). "A Computational Homogenization Framework for Soft Elastohydrodynamic Lubrication", Computational Mechanics, v.49 p.749-767, DOI: http://dx.doi.org/10.1007/s00466-012-0709-7
  • Temizer, . (2012). "On the Asymptotic Expansion Treatment of Two-Scale Finite Thermoelasticity.", International Journal of Engineering Science, v.53 p.74-84, DOI: http://dx.doi.org/10.1016/j.ijengsci.2012.01.003
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2011.10.014
  • De Lorenzis, L., Temizer, ., 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: http://dx.doi.org/10.1002/nme.3159
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2010.11.020
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2010.06.013
  • Temizer, ., Wriggers, P. (2011). "Homogenization in Finite Thermoelasticity", Journal of the Mechanics and Physics of Solids, v.59 p.344372, DOI: http://dx.doi.org/10.1016/j.jmps.2010.10.004
  • Temizer, . (2011). "Thermomechanical Contact Homogenization with Random Rough Surfaces and Microscopic Contact Resistance", Tribology International, v.44 p.114-124, DOI: http://dx.doi.org/10.1016/j.triboint.2010.09.011
  • Ma, J., Temizer, ., 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: http://dx.doi.org/10.1016/j.ijsolstr.2010.10.004
  • Temizer, ., Wriggers, P. (2010). "A micromechanically motivated higher-order continuum formulation of linear thermal conduction", Zeitschrift fr Angewandte Mathematik und Mechanik, v.90(10-11) p.768-782, DOI: http://dx.doi.org/10.1002/zamm.201000009
  • Temizer, ., 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: http://dx.doi.org/10.1002/nme.2822
  • Temizer, ., 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: http://dx.doi.org/10.1002/nme.2921
  • Temizer, ., Wriggers, P. (2008). "On a mass conservation criterion in homogenization", Journal of Applied Mechanics, Transactions ASME, v.75 p.054503, DOI: http://dx.doi.org/10.1115/1.2913042
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2008.08.008
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2008.08.018
  • Temizer, ., Zohdi, T.I. (2007). "A numerical method for homogenization in non-linear elasticity", Computational Mechanics, v.40(2) p.281-298, DOI: http://dx.doi.org/10.1007/s00466-006-0097-y
  • Temizer, ., 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: http://dx.doi.org/10.1016/j.cma.2007.03.017
  • Temizer, ., Zohdi, T.I. (2005). "Agglomeration and refragmentation in microscale granular flows", International Journal of Fracture, v.131(3) p.L37-L44, DOI: http://dx.doi.org/10.1007/s10704-005-2598-7