Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 121, Issue 22, Pages 5066-5081Publisher
WILEY
DOI: 10.1002/nme.6510
Keywords
Carrera unified formulation; higher-order beam theories; peridynamics
Funding
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [850437]
- Ministero dell'Istruzione, dell'Universita della Ricerca research funding programme PRIN 2017
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Peridynamics is a nonlocal theory which has been successfully applied to solid mechanics and crack propagation problems over the last decade. This methodology, however, may lead to large computational calculations which can soon become intractable for many problems of practical interest. In this context, a technique to couple-in a global/local sense-three-dimensional peridynamics with one-dimensional high-order finite elements based on classical elasticity is proposed. The refined finite elements employed in this work are based on the well-established Carrera Unified Formulation, which the previous literature has demonstrated to provide structural formulations with unprecedented accuracy and optimized computational efficiency. The coupling is realized by using Lagrange multipliers that guarantee versatility and physical consistency as shown by the numerical results, including the linear static analyses of solid and thin-walled beams as well as of a reinforced panel of aeronautic interest.
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