Damage propagation in 2d beam lattices: 2. Design of an isotropic fault-tolerant lattice

  • Andrej CherkaevEmail author
  • Michael Ryvkin


The paper demonstrates a rational design of an isotropic heterogeneous beam lattice that is fault-tolerant and energy-absorbing. Combining triangular and hexagonal structures, we calculate elastic moduli of obtained hybrid heterogeneous structures; simulate the development of flaws in that composite lattice subjected to a uniform uniaxial deformation; investigate its damage evolution; measure various characteristics of damage that estimate fault tolerance; discuss the trade-off between stiffness and fault tolerance. A design is found that develops a cloud of small evenly spread flaws instead of a crack.


Fault-tolerant lattice Beam lattice Evenly spread damage Brittle fracture 



The authors gratefully acknowledge support by the NDM, National Science Foundation, Award Number 1515125, and by Israel Science Foundation, Grant No. 1494/16.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA
  2. 2.The Iby and Aladar Fleischman Faculty of Engineering, School of Mechanical EngineeringTel Aviv UniversityRamat AvivIsrael

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