Victor A. Eremeyev

ORCID: 0000-0002-8128-3262
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Research Areas
  • Nonlocal and gradient elasticity in micro/nano structures
  • Thermoelastic and Magnetoelastic Phenomena
  • Composite Material Mechanics
  • Composite Structure Analysis and Optimization
  • Elasticity and Material Modeling
  • Elasticity and Wave Propagation
  • Numerical methods in engineering
  • Structural Analysis and Optimization
  • Advanced Mathematical Modeling in Engineering
  • Vibration and Dynamic Analysis
  • Mechanical and Optical Resonators
  • Dynamics and Control of Mechanical Systems
  • Geotechnical and Geomechanical Engineering
  • Material Properties and Applications
  • Mechanical Behavior of Composites
  • Advanced Theoretical and Applied Studies in Material Sciences and Geometry
  • Carbon Nanotubes in Composites
  • Geophysics and Sensor Technology
  • Force Microscopy Techniques and Applications
  • Structural mechanics and materials
  • Material Properties and Failure Mechanisms
  • Structural Engineering and Vibration Analysis
  • Advanced Materials and Mechanics
  • Structural Load-Bearing Analysis
  • Structural Analysis of Composite Materials

University of Cagliari
1997-2025

Gdańsk University of Technology
2013-2024

N. I. Lobachevsky State University of Nizhny Novgorod
2018-2023

Don State Technical University
1997-2023

Institute of Applied Mechanics
2021-2022

Polish Academy of Sciences
2009-2022

Yaroslav-the-Wise Novgorod State University
2022

Nizhny Novgorod State Pedagogical University
2019-2020

University of L'Aquila
2018-2020

Nizhny Novgorod State Technical University
2020

In this paper a stationary action principle is proved to hold for capillary fluids, i.e. fluids which the deformation energy has form suggested, starting from molecular arguments. We remark that these are sometimes also called Korteweg–de Vries or Cahn–Allen fluids. general, continua whose depends on second gradient of placement (or Piola–Toupin, Mindlin, Green–Rivlin, Germain grade) continua. present paper, material description formulated. A Lagrangian introduced in both and spatial...

10.1177/1081286513497616 article EN Mathematics and Mechanics of Solids 2013-08-28

10.1016/j.ijsolstr.2008.09.027 article EN publisher-specific-oa International Journal of Solids and Structures 2008-10-02

Abstract We discuss the general linear six‐parametric theory of plates based on direct approach. consider plate as a deformable surface. Each material point surface can be regarded an infinitesimal small rigid body with six degrees freedom. The kinematics is described by using vector translation and rotation independent variables. relations between equilibrium conditions three‐dimensional micropolar plate‐like two‐dimensional equations are established. Using constitutive we determination...

10.1002/zamm.200800207 article EN ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 2009-04-06

In this paper a stationary action principle is proven to hold for capillary fluids, i.e. fluids which the deformation energy has form suggested, starting from molecular arguments, instance by Cahn and Hilliard. Remark that these are sometimes also called Korteweg-de Vries or Cahn-Allen. general continua whose depend on second gradient of placement (or Piola-Toupin Mindlin Green-Rivlin Germain gradient) continua. present paper, material description formulated. A Lagrangian introduced in both...

10.48550/arxiv.1305.6744 preprint EN other-oa arXiv (Cornell University) 2013-01-01

10.1016/j.ijengsci.2011.03.011 article EN International Journal of Engineering Science 2011-05-06

The well-posedness of the boundary value problems for second gradient elasticity has been studied under assumption strong ellipticity dependence on placement gradients (see, e.g., Chambon and Moullet in Comput. Methods Appl. Mech. Eng. 193:2771–2796, 2004 Mareno Healey SIAM J. Math. Anal. 38:103–115, 2006). study equilibrium planar pantographic lattices approached two different ways: dell'Isola et al. (Proc. R. Soc. Lond. Ser. A 472:20150, 2016) a discrete model was introduced involving...

10.1007/s10659-017-9660-3 article EN cc-by Journal of Elasticity 2017-11-06

We discuss the material symmetry group of micropolar continuum and related consistently simplified constitutive equations. Following Eremeyev Pietraszkiewicz ( Int J Solid Struct 2012; 49: 1993–2005; Generalized continua as models for materials, Heidelberg: Springer, 2013, 77–90) we extend definition proposed by Eringen Kafadar Continuum physics, vol. 4, New York, NY: Academic Press, 1976, 1–75) taking into account microstructure curvature tensor well different transformation properties...

10.1177/1081286515582862 article EN Mathematics and Mechanics of Solids 2015-05-07

This paper considers a single-walled composite nano-shell (SWCNS) exposed in torsional critical stability situation. As the magnetic field affects remarkably nanostructures small size, three-dimensional is assessed which contains effects along circumferential, radial and axial coordinates system. Based on results of nonlocal model strain gradient small-scale approach first-order shear deformation shell theory (FSDST), problem estimated. Afterward, numerical are taken analytically compared...

10.1016/j.ijengsci.2019.103210 article EN cc-by-nc-nd International Journal of Engineering Science 2020-01-10

10.1016/j.ijsolstr.2012.04.007 article EN publisher-specific-oa International Journal of Solids and Structures 2012-04-16

A drawback to the material composition of thick functionally graded materials (FGM) beams is checked out in this research conjunction with a novel hyperbolic-polynomial higher-order elasticity beam theory (HPET). The proposed model consists shape function for distribution shear stress deformation transverse coordinate. also incorporates stretching effect present an indirect thickness variations. As result compounding linear Lagrangian strains and variational energy, system equations...

10.1016/j.compstruct.2020.112486 article EN cc-by Composite Structures 2020-05-31

Abstract In this investigation, a computational analysis is conducted to study magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium subjected periodic heat flow in the presence of continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, new generalized model has been investigated address considered problem. introduced can be formulated by combining Green–Naghdi Type III and Lord–Shulman models. Eringen’s non-local theory also...

10.1007/s00161-021-00998-1 article EN cc-by Continuum Mechanics and Thermodynamics 2021-03-29

Smart composites (SCs) are utilized in electro-mechanical systems such as actuators and energy harvesters. Typically, thin-walled components beams, plates, shells employed structural elements to achieve the mechanical behavior desired these composites. SCs exhibit various advanced properties, ranging from lower order phenomena like piezoelectricity piezomagneticity, higher effects including flexoelectricity flexomagneticity. The recently discovered flexomagneticity smart has been...

10.1016/j.ijengsci.2023.103966 article EN cc-by-nc-nd International Journal of Engineering Science 2023-10-13

We introduce the surface viscoelasticity under finite deformations. The theory is straightforward generalization of Gurtin–Murdoch model to materials with fading memory. Surface may reflect some related creep/stress relaxation phenomena observed at small scales. Discussed could also describe thin inelastic coatings or interfacial layers. constitutive equations for stresses are proposed. As an example we discuss propagation shear (anti-plane) waves in media taking into account viscoelastic...

10.1016/j.ijengsci.2024.104029 article EN cc-by International Journal of Engineering Science 2024-01-24
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