Computer model of the necking of an aluminum rod under tension. Colors indicate temperature increase due to plastic heating. Calculation performed with the Emu computer code using peridynamic state-based framework.
Peridynamics is a non-local formulation of continuum mechanics that is oriented toward deformations with discontinuities, especially fractures. Originally, bond-based peridynamic has been introduced,[1] wherein, internal interaction forces between a material point and all the other ones with which it can interact, are modeled as a central forces field.[2] This type of force fields can be imagined as a mesh of bonds connecting each point of the body with every other interacting point within a certain distance which depends on material property, called peridynamic horizon. Later, to overcome bond-based framework limitations for the material Poisson’s ratio[3][4] ( for plane stress and for plane strain in two-dimesional configurations; for three-dimensional ones), state-base peridynamics, has been formulated.[5] Its characteristic feature is that the force exchanged between a point and another one is influenced by the deformation state of all other bonds relative to its interaction zone.[1]
The characteristic feature of peridynamics, which makes it different from classical local mechanics, is the presence of finite-range bond between any two points of the material body: it is a feature that approaches such formulations to discrete meso-scale theories of matter.[1]
^ abcSilling, S.A. (January 2000). "Reformulation of elasticity theory for discontinuities and long-range forces". Journal of the Mechanics and Physics of Solids. 48 (1): 175–209. Bibcode:2000JMPSo..48..175S. doi:10.1016/S0022-5096(99)00029-0. S2CID 122055539.
^Dimola, Nunzio; Coclite, Alessandro; Fanizza, Giuseppe; Politi, Tiziano (2022-10-23). "Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics". Advances in Continuous and Discrete Models. 2022 (1). arXiv:2207.06194. doi:10.1186/s13662-022-03732-6. ISSN 2731-4235.
^Madenci, Erdogan; Oterkus, Erkan (2014). Peridynamic theory and its applications. New York, NY: Springer. pp. 19–43. ISBN 978-1-4614-8464-6.
^Macek, Richard W.; Silling, Stewart A. (November 2007). "Peridynamics via finite element analysis". Finite Elements in Analysis and Design. 43 (15): 1169–1178. doi:10.1016/j.finel.2007.08.012. ISSN 0168-874X. OSTI 1725746.
^Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E. (2007-08-08). "Peridynamic States and Constitutive Modeling". Journal of Elasticity. 88 (2): 151–184. doi:10.1007/s10659-007-9125-1. ISSN 0374-3535. S2CID 30571789.
computational peridynamics code PeriDoX open-source repository for peridynamics and its documentation PeriLab open-source repository for peridynamics written...
(engineering) – Externally-produced indentation in a planar material Peridynamics, a formulation of continuum mechanics that is oriented toward deformations...
Eulerian specification of the flow field Movable cellular automaton Peridynamics (a non-local continuum theory leading to integral equations) Stress (physics)...
researcher in computational mechanics, including continuum mechanics, peridynamics, and the analysis of vibration and fracture mechanics. She has applied...
particle method, examples of which are smoothed particle hydrodynamics and peridynamics. Despite the presence of a background mesh, the MPM does not encounter...
element method, finite difference method, etc.), so some new concepts like peridynamics are required. Discrete element method is very effective to simulate granular...
ISBN 978-94-007-6353-1. Gerstle, Walter Herbert (2015-07-23). Introduction To Practical Peridynamics: Computational Solid Mechanics Without Stress And Strain. World Scientific...
dell'Isola, U. Andreaus U, L. Placidi, "At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated...
Global Information
