Constitutive modelling of materials

We have invented a new yield function particularly suited for the modelling of the behaviour of granular and rock-like materials.

We have proposed an innovative constitutive model for granular materials, with particular reference to sand. The model correctly describes the occurrence and development of shear bands.

We have proposed the first constitutive model capable of describing the granular/solid transition occurring during cold forming of ceramic powders, a challenging, but never previously addressed, problem with important industrial implications.

Related papers:

• S. Stupkiewicz, A. Piccolroaz, D. Bigoni,
  Finite-strain formulation and FE implementation of a constitutive model for powder compaction.
  Computer Methods in Applied Mechanics and Engineering, 2015, 283, 856-880.
  [arXiv version]


• A. Gajo, D. Bigoni
  Elastoplastic coupling for thermo-elasto-plasticity at high temperature.
  Geomechanics for Energy and the Environment, 2015, 4, 29-38; doi:10.1016/j.gete.2015.09.001
  Special issue dedicated to Professor Tomasz Hueckel.
• S. Stupkiewicz, R. Denzer, A. Piccolroaz and D. Bigoni
  Implicit yield function formulation for granular and rock-like materials.
  Computational Mechanics , 2014, DOI 10.1007/s00466-014-1047-8.


• D. Bigoni, Nonlinear Solid Mechanics Bifurcation Theory and Material Instability. Cambridge University Press, 2012, ISBN:9781107025417.
• F. Poltronieri, A. Piccolroaz, D. Bigoni, S. Romero Baivier, A simple and robust elastoplastic constitutive model for concrete.
  Engineering Structures, 2014, 60, 81–84.
• F. Bosi, A. Piccolroaz, M. Gei, F. Dal Corso, A. Cocquio and D. Bigoni Experimental investigation of the elastoplastic response of aluminum silicate spray dried powder during cold compaction.
  Journal of the European Ceramic Society, 2014, 34, 2633-2642.
• M. Penasa, A. Piccolroaz, L. Argani and D. Bigoni Integration algorithms of elastoplasticity for ceramic powder compaction.
  Journal of the European Ceramic Society, 2014, 34, 2775-2788.
  [arXiv version]
• S. Stupkiewicz, A. Piccolroaz, and D. Bigoni Elastoplastic coupling to model cold ceramic powder compaction.
  Journal of the European Ceramic Society, 2014, 34, 2839-2848.
  [arXiv version]
• A. Piccolroaz and D. Bigoni Yield criteria for quasibrittle and frictional materials: a generalization to surfaces with corners.
  International Journal of Solids and Structures, 2009, 46, 3587-3596.
• A. Gajo, D. Bigoni, A model for stress and plastic strain induced nonlinear hyperelastic anisotropy in soils.
  International Journal for Numerical and Analytical Methods in Geomechanics, 2008, 32(7), 833-861.
• A. Gajo, D. Muir Wood and D. Bigoni, On certain critical material and testing characteristics affecting shear band development in sand.
  Géotechnique, 2007, 57(5), 449-461.
• A. Piccolroaz, D. Bigoni and A. Gajo, An elastoplastic framework for granular materials becoming cohesive through mechanical densification. Part I - small strain formulation.
  European Journal of Mechanics A: Solids, 2006, 25, 334-357.
• A. Piccolroaz, D. Bigoni and A. Gajo, An elastoplastic framework for granular materials becoming cohesive through mechanical densification. Part II - the formulation of elastoplastic coupling at large strain.
  European Journal of Mechanics A: Solids, 2006, 25, 358-369.
• A. Gajo, D. Bigoni and D. Muir Wood, Multiple shear band development and related instabilities in granular materials.
  Journal of the Mechanics and Physics of Solids, 2004, 52(12), 2683-2724.
• D. Bigoni and A. Piccolroaz, Yield criteria for quasibrittle and frictional materials.
  International Journal of Solids and Structures, 2004, 41(11-12), 2855-2878.
• D. Bigoni and F. Laudiero, The quasi-static finite cavity expansion in a non-standard elastoplastic medium.
  International Journal of Mechanical Sciences, 1989, 31 (11/12), 825-837.