Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid

  • Petia Dineva
  • Marin Marinov
  • Tsviatko Rangelov


Aim of the study is to develop, verify and apply in simulations an efficient non-hypersingular traction boundary integral equation method for solution of anti-plane dynamic problem of a finite exponentially inhomogeneous piezoelectric solid with a nano-crack. The modeling approach is in the frame of continuum mechanics, wave propagation theory, the Gurtin and Murdoch surface elasticity theory and linear fracture mechanics. The simulations reveal the dependence of the stress concentration factors on the electromechanical coupling, on the type and characteristics of the dynamic load, on the position-dependent material properties, on the surface elasticity, on the size effect and on the wave–nanocrack–material gradient interaction in a bounded solid.


Finite piezoelectric solid Exponential inhomogeneity Surface elasticity Anti-plane blunt nano-crack Dynamic load SCF BIEM 

Mathematical Subject Classification

35Q74 74S15 74H35 



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Copyright information

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

Authors and Affiliations

  • Petia Dineva
    • 1
  • Marin Marinov
    • 2
  • Tsviatko Rangelov
    • 3
  1. 1.Institute of MechanicsBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Computer Science DepartmentNew Bulgarian UniversitySofiaBulgaria
  3. 3.Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofiaBulgaria

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