Article
Computer Science, Interdisciplinary Applications
Pei-Liang Bian, Hai Qing
Summary: In this study, a new FEM framework was developed to simulate the mechanical responses of the Euler-Bernoulli beam with a two-phase local/nonlocal mixed model. The model showed efficient convergence, simplicity of expressions, and flexibility in handling various boundary conditions and external loads.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
S. Ceballes, B. E. Saunders, A. Abdelkefi
Summary: The study focuses on extending the reliable reduced-order models of a carbon nanotube-based mass sensor using Timoshenko beam theory and Eringen's nonlocal theory. The discrepancies and limits of applicability between Timoshenko and Euler-Bernoulli models are deeply explored, showing that the nonlocal Timoshenko-based model is valuable for mass sensing applications, especially for short and stout structures. Researchers can utilize these findings for the design, modeling, and analysis of nanoscale sensors and resonators.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mathematics, Applied
Aurora Angela Pisano, Paolo Fuschi, Castrenze Polizzotto
Summary: Eringen's fully nonlocal elasticity model leads to ill-posed boundary-value problems and boundary effects, but an enhanced model with a regularizing non-homogeneous local phase provides well-posed boundary-value problems without paradoxes. The enhanced model applied to beam bending is equivalent to a sixth order differential equation with variable coefficients and predicts softening size effects consistently. The influence of the length scale parameter on the beam's response is highlighted, showing a wave pattern in the response function delta(lambda) as the parameter increases.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2021)
Article
Engineering, Mechanical
Kun Huang, Benning Qu, Wei Xu, Ji Yao
Summary: This paper proposes two new nonlinear nonlocal Euler-Bernoulli theories to model the mechanical properties of nanobeams and investigates the static bending and forced vibrations of single-walled carbon nanotubes. The results show that both material nonlinearity and nonlocal effects have significant impacts on the mechanical properties of single-walled carbon nanotubes.
NONLINEAR DYNAMICS
(2022)
Article
Chemistry, Multidisciplinary
Kun Huang, Wei Xu
Summary: Although the individual effects of small-scale effect and thermal stress on nanobeams have been studied, their combined effects and the temperature dependence of elastic parameters have not been thoroughly investigated. In this paper, a new nonlocal nonlinear Euler-Bernoulli theory is proposed to model the mechanical properties of nanobeams, considering both small-scale effect and thermal stress, as well as the temperature dependence of Young's modulus. The study demonstrates that thermal stress and temperature dependence have a significant influence on the mechanical properties of slender nanobeams, compared to the small-scale effect induced by the nonlocal effect. Neglecting the temperature effect may lead to qualitative errors in the analysis of slender nanobeams.
Article
Mechanics
A. A. Pisano, P. Fuschi, C. Polizzotto
Summary: This paper presents a theory of Erigen's differential nonlocal beams of elastic material, independent of the original integral formulation. Concepts sparsely known from the literature are utilized within a more general context, showing the ability to predict softening behavior in a set of benchmark beam problems. Comparisons with other theories are also provided, demonstrating the effectiveness of the proposed theory.
Article
Mechanics
Busra Uzun, Omer Civalek, Mustafa Ozgur Yayli
Summary: This study presents a vibration analysis of functionally graded nano-sized beams resting on an elastic foundation using a finite element method. The beams are modeled based on Euler-Bernoulli beam theory and Eringen's nonlocal elasticity theory under various boundary conditions. The material properties of the beams vary across the thickness direction. The paper emphasizes the use of shape functions and Eringen's nonlocal elasticity theory to establish stiffness matrices and mass matrices for free vibration analysis. Several numerical examples are provided to investigate the effects of different parameters on frequencies.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mathematics, Applied
Konstantinos G. Eptaimeros, Constantinos Chr Koutsoumaris
Summary: This study investigates the mechanical response of carbon nanotubes under static loading and develops new finite element methods to solve this problem, demonstrating better suitability, efficiency, and accuracy compared to existing models.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Nanoscience & Nanotechnology
Indronil Devnath, Mohammad Nazmul Islam, Minhaj Uddin Mahmood Siddique, Abdelouahed Tounsi
Summary: This paper presents explicit analytical equations for computing the static displacements of nanobeams using the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. The derived equations match exactly with those obtained by other analytical methods and the computed results are in excellent agreement with those obtained by other numerical methods, validating the accuracy of the proposed method.
ADVANCES IN NANO RESEARCH
(2022)
Article
Engineering, Marine
Alexandre Kawano, Abdelmalek Zine, Celso Morooka, Mohamed Ichchou
Summary: This work aims to analyze a dynamical model for the transversal motion of a vertical riser and proposes a new numerical approach to solve the resulting system of coupled differential equations. The proposed model, in which transversal displacements are coupled with longitudinal ones, is analyzed mathematically with the existence and uniqueness of the resulting system of differential equations proved. The numerical model based on finite element method is successfully implemented in a Matlab code and compared with commercial computation code ORCAFLEX and experiments, showing very satisfactory results.
Article
Mathematics, Applied
Omer Civalek, Busra Uzun, Mustafa Ozgur Yayli
Summary: This study investigates the size-dependent stability analysis of a restrained nanobeam with functionally graded material using nonlocal Euler-Bernoulli beam theory and Fourier series. The research highlights the influences of various parameters on the critical buckling load of the functionally graded nonlocal beam and provides an efficient analytical solution for the buckling response of the nanobeam.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
Article
Chemistry, Multidisciplinary
Reza Hedayati, Naeim Ghavidelnia, Mojtaba Sadighi, Mahdi Bodaghi
Summary: The study focuses on converting analytical relationships based on Euler-Bernoulli beam theory to Timoshenko beam theory, which results in an improvement in the accuracy of analytical formulas. This methodology not only enhances existing analytical relationships, but also facilitates the derivation of accurate analytical relationships for other unexplored unit cell types.
APPLIED SCIENCES-BASEL
(2021)
Article
Mechanics
Chinika Dangi, Roshan Lal, N. Sukavanam
Summary: A mathematical model for bi-directional functionally graded Euler-Bernoulli nanobeams has been developed, considering nonlocal strain gradient theory and Gurtin-Murdoch surface elasticity theory.
A parametric study shows that the surface effect has a significant impact on the frequencies of nanobeams, especially at lower thicknesses.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Nanoscience & Nanotechnology
Muhammad Safeer, Muhammad Taj, Mohamed A. Khadimallah, Muzamal Hussain, Saima Akram, Faisal Mehmood Butt, Abdelouahed Tounsi
Summary: The bending and buckling of microfilaments are studied using Euler Bernoulli beam theory with nonlocal parametric effects. The results demonstrate that the nonlocal parametric effects are significant and agree well with experimental verifications.
ADVANCES IN NANO RESEARCH
(2023)
Article
Engineering, Multidisciplinary
Shuohui Yin, Yang Deng, Tiantang Yu, Shuitao Gu, Gongye Zhang
Summary: This study proposed a new effective computational approach based on isogeometric analysis and high-order continuity basis functions for the non-classical Bernoulli-Euler beam model. The validity of the new approach was verified by comparing numerical results of two applications for simply supported and cantilever beams. The results showed that both microstructure and surface energy effects have significant influences on the performance of the beams.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Mechanical
K. G. Eptaimeros, C. Chr. Koutsoumaris, G. J. Tsamasphyros
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2016)
Article
Mechanics
C. Chr Koutsoumaris, K. G. Eptaimeros
Article
Engineering, Multidisciplinary
K. G. Eptaimeros, C. Chr. Koutsoumaris, I. T. Dernikas, Th. Zisis
COMPOSITES PART B-ENGINEERING
(2018)
Article
Mathematics, Applied
K. G. Eptaimeros, C. Chr. Koutsoumaris, G. J. Tsamasphyros
APPLIED NUMERICAL MATHEMATICS
(2019)
Article
Mechanics
K. G. Eptaimeros, C. Chr. Koutsoumaris, I. G. Karyofyllis
Article
Mathematics, Applied
Konstantinos G. Eptaimeros, Constantinos Chr Koutsoumaris
Summary: This study investigates the mechanical response of carbon nanotubes under static loading and develops new finite element methods to solve this problem, demonstrating better suitability, efficiency, and accuracy compared to existing models.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mechanics
C. Chr Koutsoumaris, K. G. Eptaimeros
Summary: This study explores the analysis of static engineering problems of a nanobeam using nonlocal integral elasticity models. The results show that the integral models exhibit a flexible behavior compared to classic and nonlocal differential models, demonstrating good physical robustness and promising applications in the field of nanomaterials and beyond.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Proceedings Paper
Mathematics, Applied
C. Chr. Koutsoumaris, K. G. Eptaimeros
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)
(2018)
Proceedings Paper
Mathematics, Applied
Konstantinos G. Eptaimeros
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)
(2018)
Article
Mechanics
Zhiqiang Meng, Xu Gao, Hujie Yan, Mingchao Liu, Huijie Cao, Tie Mei, Chang Qing Chen
Summary: This paper presents a cage-shaped, self-folding mechanical metamaterial that exhibits multiple deformation modes and has tunable mechanical properties, providing multifunctional applications in various fields.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hasan Murat Oztemiz, Semsettin Temiz
Summary: Sandwich panel composites have various applications and their mechanical behavior and performance depend on material properties and geometry. The load-carrying capacity of S-core composite sandwich panels increases with the increase of the core wall thickness, but decreases with the increase of the core height.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yang Sun, Wei Zhang, Weipeng Hu, Mabao Liu
Summary: The study presents a novel computational framework to investigate the effect of graphene percolation network on the strength-ductility of graphene/metal composites. It utilizes the Cauchy's probabilistic model, the field fluctuation method, and the irreversible thermodynamics principle.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Elaheh Kazemi-Khasragh, Juan P. Fernandez Blazquez, David Garoz Gomez, Carlos Gonzalez, Maciej Haranczyk
Summary: This study explores group interaction modelling (GIM) and machine learning (ML) approaches for predicting thermal and mechanical properties of polymers. ML approach offers more reliable predictions compared to GIM, which is highly dependent on the accuracy of input parameters.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yafei Yin, Shaotong Dong, Dong Wu, Min Li, Yuhang Li
Summary: This paper investigates a bending-induced instability in sandwiched composite structures, and establishes a phase diagram to predict its characteristics. The results are of great significance in understanding the physical mechanisms of bending instability and providing design guidelines for practical applications.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Dhairya R. Vyas, Sharen J. Cummins, Gary W. Delaney, Murray Rudman, Devang V. Khakhar
Summary: In this study, multiple collisions of granules on a substrate are analyzed using Collisional Smooth Particle Hydrodynamics (CSPH) to understand the influence of impact-induced deformation on subsequent collision dynamics. It is found that the collision dynamics are dependent on the impact location and the deformation caused by preceding impacts. The accuracy of three theoretical models is also evaluated by comparing their predictions with CSPH results, and it is discovered that these models are only useful for predicting collisions at the same location repeatedly.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Sneha B. Cheryala, Chandra S. Yerramalli
Summary: The effect of hybridization on the growth of interface crack along the fiber is predicted. The study shows an enhancement in the compressive splitting strength with hybridization due to the lateral confinement effect on the interfacial crack.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Xiang-Nan Li, Xiao-Bao Zuo, Liang Li, Jing-Han Liu
Summary: A multiscale mechanical model is proposed to quantitatively describe the macro-mechanical behavior of fiber reinforced concrete (FRC) based on its multiscale material compositions. The model establishes the stiffness and strength equations for each scale of FRC and demonstrates the influence of steel fiber parameters on the mechanical properties of FRC.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Vicente Ramirez-Luis, Hilario Hernandez-Moreno, Orlando Susarrey-Huerta
Summary: In this paper, a Multicell Thin-walled Method is developed for studying the stress distributions in multimaterial beams. This method accurately obtains complex stress fields while reducing the solution time and computational cost. Validation with the finite element method confirms the accuracy of the proposed method.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yanfeng Zheng, Siyuan Li, Jingyao Zhang, Yaozhi Luo
Summary: This study proposes an enhanced simplified model based on finite particle method (FPM) to consider the link cross-sectional size and contact in Bennett linkages. The model introduces virtual beams and contact forces to accurately simulate the real-world behavior of Bennett linkages. The proposed method is effective for dynamic analysis of large-scale deployable Bennett linkages and shows great potential.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Viktoriya Pasternak, Heorhiy Sulym, Iaroslav M. Pasternak
Summary: This paper investigates anisotropic elastic, magnetoelectroelastic, and quasicrystal solids and presents their equations of time-harmonic motion and constitutive relations in a compact and unified form. A matrix approach is proposed to derive the 3D time-harmonic Green's functions for these materials. The effects of phason field dynamics on the phonon oscillations in quasicrystals are studied in detail. The paper provides a strict proof that the eigenvalues of the time-harmonic magnetoelectroelaticity problem are all positive. It also demonstrates the application of the obtained time-harmonic Green's functions in solving boundary value problems for these materials using the derived boundary integral equations.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Jan Tomec, Gordan Jelenic
Summary: This paper investigates the relationship between different formulations and contact-force models in beam-to-beam contact mechanics. It specifically addresses the recently developed mortar method and develops its variant based on the penalty method. The developed elements are tested using the same examples to provide an objective comparison in terms of robustness and computational cost.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Paulo Teixeira Goncalves, Albertino Arteiro, Nuno Rocha, Fermin Otero
Summary: This work presents a novel formulation of a 3D smeared crack model for unidirectional fiber-reinforced polymer composites based on a stress invariant approach for transverse yielding and failure initiation. The performance of the model is evaluated using monotonic and non-monotonic damage evolution, verified with single element tests and compared with experimental results.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hanbin Yin, Yinji Ma, Xue Feng
Summary: This paper investigates the peeling behavior of a viscoelastic film bonded to a rigid substrate and establishes a theoretical peeling model. The study reveals three typical relationships between the peeling force and peeling velocity, which depend on the viscous dissipation within the film and the rate-dependent adhesion at the interface. Additionally, factors such as film thickness, interfacial toughness, and interfacial strength are identified as influencing the steady-state peeling force.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Peter Noe Poulsen, John Forbes Olesen
Summary: Finite Element Limit Analysis (FELA) is increasingly used to calculate the ultimate bearing capacity of structures made of ductile materials. This study presents a consistent and general weak formulation based on virtual work for both the lower and upper bound problem, ensuring uniqueness of the optimal solution. A plane element with linear stress variation and quadratic displacement field is introduced, showing good results for load level, stress distribution, and collapse mechanism even for coarse meshes in verification and reinforced concrete examples.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
