A mechanically based approach to non-local beam theories

Mario Di Paola, Massimiliano Zingales, Alba Sofi, Giuseppe Failla

Risultato della ricerca: Articlepeer review

20 Citazioni (Scopus)


A mechanically based non-local beam theory is proposed. The key idea is that the equilibrium of each beam volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are modeled as depending on the product of the interacting volume elements, their relative displacement and a material-dependent distance-decaying function. To derive the beam equilibrium equations and the pertinent mechanical boundary conditions, the total elastic potential energy functional is used based on the Timoshenko beam theory. In this manner, the mechanical boundary conditions are found coincident with the corresponding mechanical boundary conditions of classical elasticity theory. Numerical applications are also reported. © 2011 Elsevier Ltd. All rights reserved.
Lingua originaleEnglish
pagine (da-a)676-687
Numero di pagine12
RivistaInternational Journal of Mechanical Sciences
Stato di pubblicazionePublished - 2011

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2500.2500???
  • ???subjectarea.asjc.3100.3104???
  • ???subjectarea.asjc.2200.2211???
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