Publications

           Journal papers:

• An Incremental Flow Theory for Crystal Plasticity Incorporating Strain Gradient Effects.
  Nellemann, C.; Niordson, C.F. and Nielsen, K.L. (submitted).
  
  
• An investigation of back stress formulations under cyclic loading.
  El-Naaman, S.A.; Nielsen, K.L. and Niordson, C.F. (submitted).

• Attaining the rate-independent limit of a rate-dependent strain gradient plasticity theeory.
  El-Naaman, S.A.; Nielsen, K.L. and Niordson, C.F.
  To appear in Extreme Mechanics Letter, 2016
  
  
• A finite element framework for distortion gradient plasticity with applications to bending of thin foils.
  Martinez-Paneda, E.; Niordson, C.F. and Bardella, L.
  International Journal of Solids and Structures, 2016, Vol. 96, pp. 288-299.
  
  
• Homogenization of long fiber reinforced composites including fiber bending effects.
  Poulios, K. and Niordson, C.F.
  Journal of the Mechanics and Physics Aolids, 2016, Vol. 94, pp. 433-452.
  
  
• Strain gradient plasticity modeling of hydrogen diffusion to the crack tip.
  Martinez-Paneda, E.; del Busto, S., Niordson, C.F. and Betegon, C.
  International Journal of Hydrogen Energy, 2016, Vol 41, pp. 10265-10274.
  
  
• On fracture in finite strain gradient plasticity.
  Martinez-Paneda, E. and Niordson, C.F.
  International Journal of Plasticity, 2016, vol 80, pp. 154-167.
  
  
• Micro-buckling of periodically layered composites in regions of stress concentration.
  Poulios, K. and Niorson, C.F.
  Composite Structures, 2016, Vol 157, pp. 424-435.
  
  
• Strain Gradient Plasticity-based Modeling of Hydrogen Environment Assisted Cracking.
  Martinez-Paneda, E.; Niordson, C.F. and Gangloff, R.
  Acta Materialia, 2016, Vol 117, pp. 321-332.

• Rolling at Small Scales
  Nielsen, K.L.; Niordson, C.F. and Hutchinson, J.W.
  Journal of Manufacturing Sciences and Engineering, 2016, Vol. 138/041004-1, 10 pages.

• On modeling microstructural evolution using a higher order strain gradient continuum theory
  El-Naaman, S.A., Nielsen, K.L. and Niordson, C.F.
  International Journal of Plasticity, 2016, 76, pp. 285-298.

• Rolling induced size effects in elastic-viscoplastic sheet metals.
  Nielsen, K.L.
  European Journal of Mechanics A/Solids, 2015, Vol. 53, pp.259-267.

• Computational strain gradient crystal plasticity.
  Niordson, C. F. and Kysar, J.W.
  Journal of the Mechanics and Physics of Solids, 2014, Vol. 62, p. 31-47.       

• A numerical basis for strain-gradient plasticity theory:
  Rate-independent and rate-dependent formulations.
  Nielsen, K. L. and Niordson, C. F.
  Journal of the Mechanics and Physics of Solids, 2014, Vol. 63, pp. 113-127.
  
  
• Micro-pillar Measurements of plasticity in confined CU thin films.
  Mua, Y.; Hutchinson, J.W. and Meng, W.J.
  Extreme Mechanics Letters, 2014, Vol. 1, pp 62-69.
  
  
• Strain gradient effects in periodic flat punch indenting at small scales
  Nielsen, K.L.; Niordson, C.F. and Hutchinson, J.W.
  International Journal of Solids and Strauctures, 2014, 51, 3549-3356

• A 2D finite element implementation of the Fleck-Willis strain-gradient flow theory.
  Nielsen, K. L. and Niordson, C. F.
  European Journal of Mechanics, A/Solids, 2013, Vol. 41, pp. 134-142
   
• Material size effects on crack growth along patterned wafer-level Cu-Cu bonds.
  Tvergaard, V.; Niordson, C. F. and Hutchinson, J. W.
  International Journal of Mechanical Sciences, 2013, Volume 68, pp. 270-276
  
  
• Observations on Mode I ductile tearing in sheet metals
  El-Naaman, S.A. and Nielsen, K.L.
  European Journal of Mechanics A/Solids, 2013, Vol. 63, pp. 54-62.

           Conference proceedings and extended abstracts:

• Finite strain gradient plasticity with applications to Micron scale void Growth.
  Niordson, C.F. and Tvergaard, V.
  ICTAM 2016, Montreal, Canada, August 21-26, 2016.
  
  
• Size scale dependence of compressive instabilities in layered composites in the presence of stress gradients.
  Poulios, K. and Niordson, C.F.
  37th Risø International Symposium on Materials Science, 2016, IOP Conf. Series: Materials Science and Engineering 139.
  
  
• Accounting for Fiber Bending Effects in Homogenization of Long Fiber Reinforced Composites.
  Poulios, K. and Niordson, C.F.
  20th International Conference on Composite Materials, 2015, Copenhagen, Denmark

• Strain gradient crystal plasticity: A continuum mechanics approach to modeling micro-structural evolution.
  El-Naman, S.A., Nielsen, K.L. and Niordson, C.F.
  International Symposium on Plasticity & Its Current Applications, 2015, Montego Bay, Jamaica.

• On modeling of geometrically necessary dislocation densities in plastically
  deformed single crystals.
  Niordson, C. F. and Kysar, J. W.
  19th International Symposium on Plasticity & Its Current Applications, 2013, NEAT Press, USA, CD-ROM.
   
• A numerical basis for rate-independent strain gradient plasticity theory.
  Nielsen, K.L. and Niordson, C.F.
  19th International Symposium on Plasticity & Its Current Applications, 2013, Neat Press, USA, CD-ROM.
   
• Modeling size-effects in single crystals at finite strains: Indentation of FCC crystals Niordson, C. F.
  ICTAM 2012, Beijing, China, August 20-24, 2012, CD-ROM.
  
  
• Steady State crack propagation in Layered materials systems displaying visco-plastic behavior.
  Nielsen, K.L.
  ICTAM 2012, Beijing, China 
  
  
• On size-effects in single crystal wedge indentation.
  Niordson, C. F. and Kysar, J. W.
  Proceedings of the 18th International Symposium on Plasticity & Its Current
  Applications, 2012, NEAT Press, USA, CD-ROM.