Dynamic Lattice Element Modelling of Cemented Geomaterials

  • Zarghaam Haider RizviEmail author
  • Syed Husain Mustafa
  • Amir Shorian Sattari
  • Shahbaz Ahmad
  • Peter Furtner
  • Frank Wuttke
Conference paper
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 55)


Cemented geomaterial due to inherent porosity and composition difference has many stress localization spots. These spots when they exceed the material limit locally form centres for crack nucleation and propagation. A vast pool of numerical and analytical methods is available, but these methods fail to solve the problem of wave motion at the granular level. The problem offers a daunting task in static or pseudo-dynamic loading but becomes highly challenging in a dynamic loading scenario. Here, in this paper, we present the lattice element method from the family of discrete element method to solve the problem of mechanical waves in rock mass or cemented granular material under dynamic excitation. The method offers a robust solution to the problem of crack initiation and propagation in a dynamic loading scenario. The lattice element method is capable of handling the nucleation, propagation, coalescence and branching of the cracks with relative ease. The method could be extended to impact loading and multiphysics scenarios in a straight-forward manner.


Lattice element method Dynamic loading Granular physics Computational fracture mechanics 



Z. H. R, F. W and P. F want to acknowledge the Marie Curie project ExchangeRisk (Grant No. 691213) for financial support. A. S. S acknowledge the Grant GeoMInt (03G0866B). Z. H. R acknowledges and thanks Vienna Consulting Engineers ZT GmbH for hosting the research work. ZHR and SHM prepared and communicated the manuscript.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Zarghaam Haider Rizvi
    • 1
    Email author
  • Syed Husain Mustafa
    • 2
  • Amir Shorian Sattari
    • 1
  • Shahbaz Ahmad
    • 3
  • Peter Furtner
    • 4
  • Frank Wuttke
    • 1
  1. 1.Geomechanics and GeotechnicsKiel UniversityKielGermany
  2. 2.Department of Computer EngineeringAligarh Muslim UniversityAligarhIndia
  3. 3.Zachry Department of Civil & Environmental EngineeringTexas A&M UniversityCollege StationUSA
  4. 4.Vienna Consulting EngineersViennaAustria

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