@article{6700998d07f144e1b401557b015bd6b7,
title = "Distal and non-symmetrical crack nucleation in delamination of plates via dimensionally-reduced peridynamics",
abstract = "Exploiting the framework of peridynamics, a dimensionally-reduced formulation for plates is developed that allows for the through-thickness nucleation and growth of fracture surfaces, enabling the treatment of delamination in a lower-dimensional model. Delamination fracture nucleation and propagation are treated by choosing the kinematics to be composed of an absolutely continuous part and a zone where jumps in the displacements are allowed. This assumption allows the explicit derivation of the dimensionally-reduced elastic energy, which shows a hierarchy of terms characterizing the stored energy in the plane element. An interpretation of the various terms of the reduced energy is shown by means of the simplest paradigm of bond-based peridynamics. A striking feature of the reduced energy is that, despite the small-displacement assumption, there is a coupling between the membrane and bending terms. Semi-analytical solutions for simplified settings are obtained through a minimization procedure, and a range of nonstandard behaviors such as distal crack nucleation and curved crack path are captured by the model. Finally, the convergence of the proposed peridynamic reduced model to a local elastic theory for vanishing nonlocal lengthscale is determined, giving a local cohesive model for fracture.",
keywords = "Crack onset, Delamination, Peridynamics, Plates",
author = "R. Cavuoto and A. Cutolo and K. Dayal and L. Deseri and M. Fraldi",
note = "Funding Information: LD, AC and MF gratefully acknowledge the support of the Italian Ministry of Research (MIUR) through the grants PRIN-20177TTP3S and PON “Stream”-ARS01_01182. LD also gratefully thanks the support of the European Commission through (i) FET Open “Boheme” grant no. 863179, and (ii) LIFE GREEN VULCAN LIFE19 ENV/IT/000213, and (iii) ERC-ADG-2021-101052956-BEYOND. MF also acknowledges the support of the D{\'e}partment de Physique, Ecole Normale Sup{\'e}rieure, Paris, France, and prof. Martine Ben Amar. KD thanks Army Research Office, USA (MURI W911NF-19-1-0245), Office of Naval Research, USA (N00014-18-1-2528), and National Science Foundation, USA (DMREF 2118945, DMS 2108784) for financial support. This manuscript was also conducted under the auspices of the GNFM-INDAM. Funding Information: LD, AC and MF gratefully acknowledge the support of the Italian Ministry of Research (MIUR) through the grants PRIN-20177TTP3S and PON “Stream”-ARS01_01182 . LD also gratefully thanks the support of the European Commission through (i) FET Open “Boheme” grant no. 863179 , and (ii) LIFE GREEN VULCAN LIFE19 ENV/IT/000213 , and (iii) ERC-ADG - 2021-101052956-BEYOND . MF also acknowledges the support of the D{\'e}partment de Physique, Ecole Normale Sup{\'e}rieure, Paris, France, and prof. Martine Ben Amar. KD thanks Army Research Office, USA ( MURI W911NF-19-1-0245 ), Office of Naval Research, USA ( N00014-18-1-2528 ), and National Science Foundation, USA ( DMREF 2118945 , DMS 2108784 ) for financial support. This manuscript was also conducted under the auspices of the GNFM-INDAM. Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",
year = "2023",
month = mar,
doi = "10.1016/j.jmps.2022.105189",
language = "English (US)",
volume = "172",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Limited",
}