On nonlocal modeling in continuum mechanics

• Autorzy: Martowicz A.

Identyfikatory

DOI

10.7494/mech.2015.34.2.41

Warianty tytułu

PL

Modelowanie nielokalne w mechanice kontinuum

• Języki publikacji: EN

Abstrakty

EN

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 theońes of continuum mechanics, followed by vanous analytical and numeńcal 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 numeńcal tools.

PL

W artykule dokonano przeglądu nielokalnych sformułowań dla mechaniki bryły odkształcalnej. Autor przedstawia podstawy fizyczne nielokalnych teorii mechaniki kontinuum oraz dokonuje przeglądu technik analitycznych i numerycznych stosowanych w modelach matematycznych. W pracy przedyskutowano charakterystyki oraz zakres praktycznych zastosowań wspomnianych technik modelowania. Ocena własności nielokalnych modeli została przeprowadzana na podstawie wyników symulacji numerycznych dla wybranych typów analiz z zastosowaniem perydynamiki. Przedstawiono wyniki symulacji zmęczeniowych oraz jednoosiowego rozciągania, uzyskane przy użyciu opracowanych narzędzi analiz symulacyjnych.

Słowa kluczowe

EN

solid mechanics; long-range force interactions; nonlocal theory of elasticity; nonlocal modeling

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Mechanics and Control
• Rocznik: 2015
• Tom: Vol. 34, no. 2
• Strony: 41--46
• Opis fizyczny: Bibliogr. 43 poz., rys.

Twórcy

autor

Martowicz A.

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Robotics and Mechatronics, Krakow, Poland

Bibliografia

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