Article
Mechanics
Youxue Ban, Changwen Mi
Summary: This paper investigates the elastic fields in a positive half-space embedded with a spherical inhomogeneity under the Steigmann-Ogden surface/interface mechanical model. The Boussinesq displacement potentials method is utilized to find a solution to the elastostatic Navier's equations. The study highlights the significance of surface flexural rigidities at both boundaries of the mechanical model.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2021)
Article
Multidisciplinary Sciences
Yongchao Zhang, Jun Cai, Changwen Mi, Abdolhamid Akbarzadeh
Summary: Finite element method is a powerful tool for predicting mechanical behavior of complex structures. However, commercially available numerical packages based on FEM are limited to macroscopic properties and cannot accurately evaluate the behavior of nanomaterials. This study introduces a new numerical methodology that incorporates surface effects and analyzes the impact of surface bending stiffness on stress concentration in nanoporous metallic materials.
ADVANCED THEORY AND SIMULATIONS
(2022)
Article
Mathematics, Interdisciplinary Applications
Lidiia Nazarenko, Henryk Stolarski, Holm Altenbach
Summary: The aim of this study is to investigate the influence of surface effects on the effective properties of random particulate composites by including the Steigmann-Ogden interface in the Method of Conditional Moments. The focus is on accounting for surface bending stiffness and generalizing the concept of energy-equivalent inhomogeneity. The study results in closed-form expressions for effective moduli and analyzes the normalized shear moduli of nanoporous materials in relation to void volume fraction.
COMPUTATIONAL MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Junbo Wang, Peng Yan, Leiting Dong, Satya N. Atluri
Summary: This study investigates the use of the Steigmann-Ogden interface stress model and elasticity theory to model the mechanical properties of nano-composites, developing a new computational grain (CG) approach to simulate composites with multiple three-dimensional nano-inclusions with S-O interfaces. The efficient numerical simulations using CGs demonstrate the validity and power of this method for complex nano-composites with a large number of inclusions, and also explores the effect of interface elastic bending parameters and spatial distributions of nano-inclusions on the overall properties of nano-composites.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Multidisciplinary Sciences
Anna Y. Zemlyanova
Summary: The study focused on a nanosized penny-shaped fracture in an infinite homogeneous isotropic elastic medium, opened by applying a normal traction. The influence of surface energy parameters on the material system behavior was numerically investigated, showing significant impact on the size-dependency and smoother behavior of solutions near the crack tip.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Chenyi Zheng, Rui Song, Changwen Mi
Summary: In this study, the yield strength of porous metallic materials in the presence of both microvoids and nanovoids is investigated using a two-level hierarchical model. The microscopic and macroscopic representative volume elements (RVEs) are used to establish the microscopic yield criterion and evaluate the macroscopic dissipation rate. Extensive parametric studies are conducted to investigate the effects of nanovoids surface bulk modulus, surface shear modulus, surface flexural rigidity, nanovoids radius, and both levels of porosities on the macroscopic yield loci.
MECHANICS OF MATERIALS
(2023)
Review
Mechanics
Sofia G. Mogilevskaya, Anna Y. Zemlyanova, Volodymyr Kushch
Summary: Modern advances in material science and surface chemistry have led to the creation of composite materials with enhanced properties by reducing the sizes of phases in the structures. This increased surface to volume ratio makes surface- or interface-related effects more significant. Researchers have turned their attention to various theories of material surfaces, including the Gurtin-Murdoch and Steigmann-Ogden theories.
APPLIED MECHANICS REVIEWS
(2021)
Article
Mathematics, Applied
Jakub Wiktor Both, Iuliu Sorin Pop, Ivan Yotov
Summary: This study focuses on unsaturated poroelasticity in variably saturated porous media, using a model similar to Biot's and Richards' equations. The existence of weak solutions is established through numerical approximation and finite element/finite volume discretization, with solvability of the original problem demonstrated using a combination of Rothe and Galerkin methods. The final existence result is dependent on non-degeneracy conditions and natural continuity properties for the constitutive relations, which are shown to be reasonable for geotechnical applications.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
(2021)
Article
Mathematics
Jiaqi Yang
Summary: This paper investigates the energy conservation for weak solutions of a one-dimensional scalar surface growth model, finding integral conditions to ensure energy equality, which is the first result in this aspect.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Mathematics, Applied
Dietmar Homberg, Robert Lasarzik
Summary: This paper investigates a model describing induction hardening of steel, showing the existence of weak entropy solutions and proving their weak-strong uniqueness. The concept of weak entropy solutions allows for including free energy functions with low regularity properties.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Jongkeun Choi, Minsuk Yang
Summary: The study introduces a new regularity criterion for suitable weak solutions of the one-dimensional surface growth initial-value problem in terms of mixed Lebesgue norms.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics, Applied
Martin Kalousek, Sourav Mitra, Anja Schloemerkemper
Summary: This article discusses a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic fluids, showing global in time existence of weak solutions to the system using the time discretization method.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2021)
Article
Mathematics, Applied
Julius Jessberger, Michael Ruzicka
Summary: This study demonstrates the existence of weak solutions for the fully inhomogeneous, steady generalized Navier-Stokes equations for shear-thinning fluids, using the theory of pseudomonotone operators and the Lipschitz truncation method. The necessity of smallness and regularity assumptions on the data is shown to be inevitable within the framework of pseudomonotone operators.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2021)
Article
Mathematics, Applied
Rita Ferreira, Diogo Gomes, Teruo Tada
Summary: This paper establishes the existence of weak solutions to a wide class of time-dependent monotone mean-field games, using high-order elliptic regularization and Schaefer's fixed-point theorem. Weak solutions to the original MFG are proven using Minty's method. The paper concludes with a discussion on congestion problems and density constrained MFGs.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2021)
Article
Multidisciplinary Sciences
Pooja Rai, Ankik Kumar Giri, Volker John
Summary: This study investigates the possible occurrence of instantaneous gelation for a certain class of unbounded coagulation kernels in the Oort-Hulst-Safronov (OHS) coagulation equation. The existence of instantaneous gelation is confirmed by showing the non-existence of mass-conserving weak solutions. Finally, it is shown that there is no weak solution to the OHS coagulation equation at any time interval for such kernels.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Thermodynamics
Ahmed E. Abouelregal, Hamid M. Sedighi, Victor A. Eremeyev
Summary: This article proposes a photothermal model to study the thermo-magneto-mechanical properties of semiconductor materials. The model takes into account the optical heating through the semiconductor medium and uses a more reliable theoretical framework to describe the optical and heat transfer properties of these materials. Numerical calculations and analysis are used to investigate the effects of thermal parameters, electromagnetic fields, laser pulses, and thermoelectric coupling factors on the thermomagnetic behavior of the materials.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Engineering, Multidisciplinary
Mohammad Malikan, Victor A. Eremeyev
Summary: This study introduces a new approach to address micro-mechanic problems using the modified couple stress theory. The model considers micro-particles' rotations, which are crucial for microstructural materials and small scales. While the framework is suitable for static situations, it is necessary to consider micro-rotations' mass inertias for dynamic investigations. The solution methods are validated using numerical models, highlighting the importance of static and dynamic length scale parameters in studying microstructure vibrations.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Editorial Material
Mechanics
Anil Misra, Francois Hild, Victor A. Eremeyev
MECHANICS RESEARCH COMMUNICATIONS
(2023)
Article
Thermodynamics
Florian Massing, Sebastian Glane, Wolfgang H. Mueller, Victor A. Eremeyev
Summary: This paper examines the possibility of using Eringen's Generalized Continuum Theories as a model for human blood flow in microcirculation. The study suggests that a micromorphic fluid, which considers blood as a suspension of deformable particles (red blood cells) in a Newtonian fluid (blood plasma), accurately represents the behavior of blood flow in narrow capillaries. The flexibility of the substructure in the micromorphic fluid model plays a significant role in capturing the shear-thinning behavior observed in human blood. Rating: 8/10
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Thermodynamics
V. A. Eremeyev, Vl. Vas. Balandin, Vl. Vl. Balandin, A. M. Bragov, A. Yu. Konstantinov, L. A. Igumnov
Summary: In this study, tests were conducted on dry clay in a uniaxial stress state using the split Hopkinson pressure bar method. The compressive strength of the clay was determined as an important component of S.S. Grigoryan's soil medium model based on the experimental results. The parameters of this model were determined using the modified Kolsky method with a sample enclosed in a rigid cage. Special experiments were also carried out to verify the soil medium model by studying the penetration of a striker with conical tips into dry clay in a reversed setup. Numerical simulation of clay penetration under similar conditions to the reversed experiments was performed using the identified model in the LS-Dyna software package. The comparison of the results from physical and numerical experiments showed satisfactory agreement at a dry friction coefficient of 0.5.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Engineering, Multidisciplinary
Gennadi Mikhasev, Baris Erbas, Victor A. Eremeyev
Summary: This paper investigates the anti-plane shear waves in a domain composed of an infinite layer and a thin coating on an elastic half-space. The elastic properties of the coating, layer, and half-space are assumed to be different. Two possible regimes related to exponentially decaying waves in the half-space are found: the first one, called transversely exponential-transversely exponential (TE-TE) regime, is related to waves described by exponential functions in the transverse direction, and the second one, transversely harmonic-transversely exponential (TH-TE) regime, corresponds to waves in the upper layer exhibiting harmonic behavior in the transverse direction. Detailed analysis of the dispersion equations for both regimes is provided, including the effects of surface stresses, layer thickness, and the ratio of shear moduli of the upper layer and half-space on the dispersion curves.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Chemistry, Physical
Anatoly M. M. Bragov, Andrey K. K. Lomunov, Mikhail E. E. Gonov, Aleksandr Yu. Konstantinov, Leonid A. A. Igumnov, Victor A. A. Eremeyev
Summary: We discuss the deformation and destruction of fine-grained concrete B22.5 under dynamic loading through experimental and numerical studies. Experimental data is used to identify the dynamic component of two models in the LS-DYNA computational complex. The results show that the experimental strain rate dependences can significantly improve the predictive ability of the model.
Article
Engineering, Mechanical
Marco Zucca, Emanuele Reccia, Nicola Longarini, Victor Eremeyev, Pietro Crespi
Summary: This paper analyzes the structural behavior of an existing reinforced concrete bridge subjected to corrosion effects due to carbonation. An efficient procedure based on the implementation of a Finite Element Model (FEM) with Timoshenko beam elements is used. The safety level of the bridge is evaluated considering different load conditions and a retrofitting intervention is proposed.
ENGINEERING FAILURE ANALYSIS
(2023)
Article
Engineering, Multidisciplinary
Stepan Konev, Victor A. Eremeyev, Hamid M. Sedighi, Leonid Igumnov, Anatoly Bragov, Aleksandr Konstantinov, Ayaulym Kuanyshova, Ivan Sergeichev
Summary: This article presents the experimental studies on the dynamic deformation and failure of a unidirectional carbon fiber reinforced plastic under compression. The results show that the strain rate significantly affects the strength and deformation characteristics of the material. The obtained results can be used to design structural elements operating under dynamic shock loads and to build models of mechanical behavior and failure criteria, considering the strain rate effects.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
Article
Engineering, Multidisciplinary
Victor A. Eremeyev
Summary: We discuss the ellipticity properties of an enhanced model of poroelastic continua called dilatational strain gradient elasticity. We show that the equilibrium equations are elliptic in the sense of Douglis-Nirenberg, which is more general than ordinary and strong ellipticity. The loss of ellipticity can be considered as a criterion for strain localization or material instability.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Mechanics
Shahriar Dastjerdi, Mohammad Malikan, Bekir Akgoz, Omer Civalek, Victor A. Eremeyev
Summary: The research simulates the motion of the Earth's layers caused by internal pressures using an efficient mathematical model. By considering the Earth's rotation, the model provides more accurate results regarding the shape and displacement of the internal layers and tectonic plates. It also solves the fully nonlinear and dynamic differential equations using a semi-analytical polynomial method, which is an innovative and efficient approach.
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Mohammad Malikan, Shahriar Dastjerdi, Victor A. Eremeyev, Hamid M. Sedighi
Summary: Smart composites are used in electro-mechanical systems and can exhibit advanced properties such as piezoelectricity and flexoelectricity. However, there is a lack of evaluation in three-dimensional (3D) elasticity analysis when the flexomagnetic effect exists in these composites. This study addresses this issue and demonstrates the importance of conducting 3D mechanical analyses.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Mechanics
F. dell'Isola, V. A. Eremeyev, V. A. Korolenko, Y. O. Solyaev
Summary: This article investigates the deformation of an initially spherical elastic body, considering the influence of the gradient of displacements on the deformation energy. By applying radial dead loads along the equator of the sphere, the analysis focuses on a specific case of second gradient continua. Unlike in first gradient continua, it is shown that these forces do not cause infinite displacement, but instead, the displacements are finite, as demonstrated using a series method for the boundary-value problem. Therefore, there is no formation of an edge at the material points where the forces are applied in the deformed configuration.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Thermodynamics
Wolfgang H. Mueller, Victor A. Eremeyev
Summary: This article presents a review of the recent workshop on Micropolar Continua and beyond, held from March 28-31, 2023, at Technische University of Berlin, Germany.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Engineering, Multidisciplinary
Igor Berinskii, Victor A. Eremeyev
Summary: This study discusses the dynamics of a relatively simple origami-inspired structure using discrete and continuum models. The continuum model, derived from the discrete model, accurately captures the behavior of origami structures, which is important for determining material properties and conducting nondestructive evaluations.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)