ON NONLOCAL MODELING IN CONTINUUM MECHANICS

Authors

  • Adam Martowicz AGH University of Science and Technology Faculty of Mechanical Engineering and Robotics Department of Robotics and Mechatronics Al. A. Mickiewicza 30, 30-059 Krakow, Poland http://orcid.org/0000-0001-9630-0355

DOI:

https://doi.org/10.7494/mech.2015.34.2.41

Keywords:

solid mechanics, long-range force interactions, nonlocal theory of elasticity, nonlocal modelling

Abstract

The objective of the paper is to provide an overview of nonlocal formulations for models of elastic solids. The author presents the physical foundations for nonlocal theories of continuum mechanics, followed by various analytical and numerical techniques. The characteristics and range of practical applications for the presented approaches are discussed. The results of numerical simulations for the selected case studies are provided to demonstrate the properties of the described methods. The paper is illustrated with outcomes from peridynamic analyses. Fatigue and axial stretching were simulated to show the capabilities of the developed numerical tools.

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Author Biography

Adam Martowicz, AGH University of Science and Technology Faculty of Mechanical Engineering and Robotics Department of Robotics and Mechatronics Al. A. Mickiewicza 30, 30-059 Krakow, Poland

Assistant Professor at the Department of Robotics and Mechatronics, AGH University of Science and Technology

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Published

2018-10-08

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