A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I-Theory

Research output: Contribution to journalArticle


This is the first of two papers introducing a novel thermomechanical continuum constitutive model for cemented granular materials. Here, we establish the theoretical foundations of the model, and highlight its novelties. At the limit of no cement, the model is fully consistent with the original Breakage Mechanics model. An essential ingredient of the model is the use of measurable and micro-mechanics based internal variables, describing the evolution of the dominant inelastic processes. This imposes a link between the macroscopic mechanical behavior and the statistically averaged evolution of the microstructure. As a consequence this model requires only a few physically identifiable parameters, including those of the original breakage model and new ones describing the cement: its volume fraction, its critical damage energy and bulk stiffness, and the cohesion. (C) 2014 Elsevier Ltd. All rights reserved.


  • Alessandro Tengattini
  • Arghya Das
  • Giang D. Nguyen
  • Gioacchino Viggiani
  • Stephen Hall
  • Itai Einav
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mechanical Engineering


  • Cemented granular materials, Constitutive behavior, Microstructures, Energy methods, Fracture mechanisms
Original languageEnglish
Pages (from-to)281-296
JournalJournal of the Mechanics and Physics of Solids
Publication statusPublished - 2014
Publication categoryResearch