Fractional Calculus in Applied Mechanics

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 1416

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Guest Editor
Applied Mathematics and Physics applications, National Technical University of Athens, 14 Theatrou Str., Rafina 19009, Greece
Interests: continuum mechanics; stability theory; elasticity; gradient elasticity; fluid mechanics; bioengineering; fractional calculus; fractional geometry; fractional differential equations
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Special Issue Information

Dear Colleagues,

The field of fractional order systems has recently developed the ambition to simulate the behavior of real systems, expressing non-local theories with respect not only to time but also to space. Time and space fractional systems in applied mechanics will be presented in the context of non-local mechanics. New fractional procedures, completely conforming to the differential calculus, will also be presented. Various fields concerning solid mechanics, fluid mechanics, viscoelasticity, rigid body mechanics, biomechanics, stability, vibrations and relativistic mechanics will be discussed in the context of fractional calculus.

Topics:

  • Fractional Solid Mechanics
  • Fractional Fluid Mechanics
  • Fractional Rigid mechanics
  • Fractional Viscoelasticity
  • Fractional Peridynamics
  • Fractional Biomechanics
  • Fractional Stability in Mechanics
  • Fractional Relativistic Mechanics
  • Fractional Liquid Crystals Mechanics.

Dr. Konstantinos A. Lazopoulos
Guest Editor

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Published Papers (1 paper)

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Research

10 pages, 1998 KiB  
Article
Stability Criteria and Λ-Fractional Mechanics
by Konstantinos A. Lazopoulos
Fractal Fract. 2023, 7(3), 248; https://doi.org/10.3390/fractalfract7030248 - 9 Mar 2023
Cited by 12 | Viewed by 1095
Abstract
Global stability criteria for Λ-fractional Mechanics are established. The fractional extension of a bar under axial loading is discussed. Globally minimizing the total energy function, non-smooth deformations are introduced. The co-existence of phases phenomenon is established in Λ-fractional elasticity. It is pointed out [...] Read more.
Global stability criteria for Λ-fractional Mechanics are established. The fractional extension of a bar under axial loading is discussed. Globally minimizing the total energy function, non-smooth deformations are introduced. The co-existence of phases phenomenon is established in Λ-fractional elasticity. It is pointed out that global minimization only is valid in fractional analysis. Full article
(This article belongs to the Special Issue Fractional Calculus in Applied Mechanics)
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