TY - JOUR
T1 - Dynamic fracture of a dissimilar chain
AU - Gorbushin, N.
AU - Mishuris, Gennady
N1 - Funding Information:
Data accessibility. This article has no additional data. Authors’ contributions. All numerical computations were performed by N.G. Both authors worked on the analytical derivations and the manuscript preparation. Competing interests. We declare that we have no competing interests. Funding. N.G. acknowledges the support of the French Agence Nationale de la Recherche (ANR) under reference ANR-17-CE08-0047-02. G.M. acknowledges financial support from the ERC Advanced Grant ‘Instabilities and nonlocal multiscale modelling of materials’: ERC-2013-ADG-340561-INSTABILITIES. Acknowledgements. G.M. is thankful to Royal Society for the Wolfson Research Merit Award.
Publisher Copyright:
© 2019 The Author(s) Published by the Royal Society.
PY - 2019/10/21
Y1 - 2019/10/21
N2 - In this paper, we study the dynamic fracture of a dissimilar chain composed of two different mass-spring chains and connected with other springs. The propagation of the fault (crack) is realized under externally applied moving forces. In comparison with a homogeneous double chain, the considered structure displays some new essential features of steady-state crack propagation. Specifically, the externally applied forces are of a different strength, unlike a static case, and should be appropriately chosen to satisfy the equilibrium of the structure. Moreover, there exists a gap in the range of crack speeds where the steady-state fracture cannot occur. We analyse the admissibility of solutions for different model parameters and crack speeds. We complement analytical findings with numerical simulations to validate our results.This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’.
AB - In this paper, we study the dynamic fracture of a dissimilar chain composed of two different mass-spring chains and connected with other springs. The propagation of the fault (crack) is realized under externally applied moving forces. In comparison with a homogeneous double chain, the considered structure displays some new essential features of steady-state crack propagation. Specifically, the externally applied forces are of a different strength, unlike a static case, and should be appropriately chosen to satisfy the equilibrium of the structure. Moreover, there exists a gap in the range of crack speeds where the steady-state fracture cannot occur. We analyse the admissibility of solutions for different model parameters and crack speeds. We complement analytical findings with numerical simulations to validate our results.This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’.
KW - Brittle fracture
KW - Crack propagation
KW - Discrete dissimilar structure
KW - Subsonic and supersonic steady-state regimes
KW - Wiener-Hopf technique
UR - http://www.scopus.com/inward/record.url?scp=85071781789&partnerID=8YFLogxK
U2 - 10.1098/rsta.2019.0103
DO - 10.1098/rsta.2019.0103
M3 - Article
C2 - 31474212
SN - 0962-8428
VL - 377
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2156
M1 - 20190103
ER -