Article
Mechanics
Istvan Ecsedi, Attila Baksa
Summary: This paper investigates the Saint-Venant torsion of a solid elliptical cylinder made of orthotropic homogeneous piezoelectric material, determining the shape of the homogeneous orthotropic piezoelectric elliptical cross section that does not warp under applied torque, as well as the sizes of the orthotropic piezoelectric solid elliptical cross section with maximum torsional rigidity for a given cross-sectional area.
Article
Mechanics
Istvan Ecsedi, Attila Baksa
Summary: The Saint-Venant torsion problem of a cylindrical orthotropic homogeneous linearly elastic bar is studied. The cross section of the bar is defined by two straight lines and a curved arc. The geometry of the boundary curve depends on the shear moduli of the orthotropic bar. An analytical method is used to determine the Prandtl's stress functions, warping function, shearing stresses, and torsional rigidity.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
S. Ali Faghidian, Isaac Elishakoff
Summary: This paper highlights the importance of the shear coefficient in the Timoshenko-Ehrenfest beam theory and addresses the challenge of determining the appropriate formula for solid rectangular cross-sections. A variational framework is proposed to establish a consistent shear coefficient for prismatic beams, and the efficacy of the introduced coefficient is demonstrated through the discussion of intrinsic anomalies.
Article
Engineering, Civil
Ilies Guendouz, Mourad Khebizi, Hamza Guenfoud, Mohamed Guenfoud, Rached El Fatmi
Summary: In this article, a torsion-bending analysis of a composite FGM beam with an open section is presented using the advanced theory of 1D/3D beams and considering edge effects. The study focuses on the mechanical behavior of the beam, taking into account the 3D displacement modes of the cross section. The study compares the results obtained from three beam theories and confirms the significant differences in the results at the support level. The 3D stresses, strains, and displacements obtained from the study accurately reflect the behavior of FGM beams.
STRUCTURAL ENGINEERING AND MECHANICS
(2022)
Article
Materials Science, Multidisciplinary
Hart Honickman, Stefan Kloppenborg
Summary: This article introduces a new higher-order beam model that accurately represents the deformation shapes and stress distributions of beams, particularly suitable for laminated beams. The model is considered a finite approximation of a one-dimensional beam model, and its accuracy is verified through calculations and comparisons.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Multidisciplinary Sciences
Jeffrey P. Bibeau, Nandan G. Pandit, Shawn Gray, Nooshin Shatery Nejad, Charles V. Sindelar, Wenxiang Cao, Enrique M. De la Cruza
Summary: The bending and twisting mechanics of actin filaments dictate the generation, sensing, and adaptation of actin cytoskeleton force. This study used magnetic tweezers and microfluidics to twist and pull individual actin filaments and evaluate their response to applied loads. Twisted filaments adopted a supercoiled plectoneme to bend and dissipate torsional strain, while pulling prevented plectoneme formation and caused filament severing. The study also found that filament severing by cofilin was driven by local twist strain at boundaries between bare and decorated segments and accelerated by low pN pulling forces. It demonstrates the importance of filament twisting in the regulation of actin filament stability and assembly dynamics.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Mathematics, Applied
Sonja du Toit, Madelein Labuschagne, Alna van der Merwe
Summary: The Local Linear Timoshenko (LLT) model for planar motion of a rod undergoing flexure, shear, and extension is introduced, along with an algorithm developed for this model. The algorithm, based on the mixed finite element method, utilizes projections into finite dimensional subspaces to handle nonlinear forces and moments. The algorithm is applied to investigate elastic wave propagation in LLT rods, revealing interesting properties such as increased wave speed compared to linear Timoshenko beams and the occurrence of buckled states or equilibrium solutions for compressed LLT beams. Moreover, it is demonstrated that the LLT rod is suitable for studying large displacements and rotations in a wide range of slender elastic objects, from beams to highly slender flexible rods.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Materials Science, Multidisciplinary
Mohammed Al-Bahrani, Aissa Bouaissi, Alistair Cree
Summary: The study investigated the behavior of self-sensing nanocomposites based on different concentrations of MWCNTs under complex experimental conditions. Results showed a good distribution of MWCNTs in the matrix and an increase in electrical conductivity with higher MWCNTs content. The piezoresistive properties of MWCNTs/phenolic nanocomposites were found to depend primarily on the MWCNTs concentration.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Green & Sustainable Science & Technology
Dang-Bao Tran, Jaroslav Navratil, Martin Cermak
Summary: This paper presents an efficient method for assessing shear stress in prismatic beams with arbitrary cross-section. The numerical method implemented in a MATLAB environment is validated by analyzing five examples, showing its efficiency and reliability in allowing more precise analysis and design of cross-sections, leading to significant material savings and positive environmental impact.
Article
Multidisciplinary Sciences
Andronikos Paliathanasis
Summary: This paper presents the Lie symmetry analysis for the one-dimensional Saint-Venant-Exner model, which describes shallow-water systems with bed evolution given by the Exner terms. By applying similarity transformations, the hyperbolic system is reduced to a set of ordinary differential equations, and closed-form exact solutions are derived.
Article
Obstetrics & Gynecology
Y. Bart, A. Mohr-Sasson, S. Yousefi, M. Goldenberg, R. Meyer, S. Toussia-Cohen, Y. Eyal, S. Mazaki-Tovi, R. Mashiach
Summary: The study revealed a positive association between adnexal twist degree and the risk of torsion recurrence.
BJOG-AN INTERNATIONAL JOURNAL OF OBSTETRICS AND GYNAECOLOGY
(2021)
Article
Chemistry, Multidisciplinary
Yongmeng Qi, Qiang Li, Zhigang Zhao, Jiahua Zhang, Lingyun Gao, Wu Yuan, Zhonghua Lu, Ningming Nie, Xiaomin Shang, Shunan Tao
Summary: This study uses high-performance computing to model the behavior of floods, specifically using the two-dimensional Saint-Venant equations as an example. The researchers applied large-scale parallel computing and various optimization techniques, finding the method to be efficient and recommending its use in solving similar problems.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics, Applied
Rohit Kumar Mishra, Suman Kumar Sahoo
Summary: This article investigates a generalized Saint Venant operator introduced by Vladimir Sharafutdinov for describing the kernel of integral moment transforms over symmetric m-tensor fields in n-dimensional Euclidean space. An equivalence between the injectivity question for integral moment transforms and the generalized Saint Venant operator over symmetric tensor fields of Schwartz class is established.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
(2023)
Article
Environmental Sciences
Salman A. M. Fadl-Elmola, Cristian Moisescu Ciocan, Ioana Popescu
Summary: Smoothed Particle Hydrodynamics (SPH) is a particle method widely used in engineering, especially for solving hydraulic problems. SPH-SWEs simulations provide accurate results for wave propagation and flood inundation, comparable to established hydraulic modeling packages, but may experience some drawbacks like inflow water volume loss.
Article
Automation & Control Systems
Georges Bastin, Jean-Michel Coron, Amaury Hayat
Summary: The paper discusses the design of feedforward controllers for hyperbolic systems, with a focus on 2x2 hyperbolic systems with specific disturbance input and control actuation locations. An efficient ideal feedforward controller is proposed that is causal and stable, addressing the insensitivity of system output to disturbance input. The study also extends the theory from linear to general nonlinear hyperbolic systems, with practical applications demonstrated in open channel and cascade pool control.
EUROPEAN JOURNAL OF CONTROL
(2021)
Article
Mechanics
Alireza Enferadi, Majid Baniassadi, Mostafa Baghani
Summary: This study presents the design and analysis of an SMP microvalve, where the thermomechanical response of the SMP is investigated using a nonlinear constitutive model that incorporates hyperelasticity and viscoelasticity. The model accounts for fluid-solid interaction and heat transfer in both fluid and solid physics. Numerical simulations are carried out to examine the important characteristics of the SMP valve. The results demonstrate the significance of employing fluid-solid interaction conjugated heat transfer analysis for the efficient development of microvalves in diverse applications.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hridya P. Lal, B. R. Abhiram, Debraj Ghosh
Summary: Higher-order elasticity theories are used to model mechanics at the nanoscale, but the length-scale parameters in these theories need to be evaluated through experiments or MD simulations. This study shows that the length-scale parameter in the modified strain gradient theory varies with dimensions, boundary conditions, and deformation level for carbon and boron nitride nanotubes. To address this issue, a supervised ML-based framework is developed, combining MD simulations, continuum formulation, and ML to predict the length-scale parameter for a given material, dimension, and boundary condition. This predictive tool reduces the need for expensive MD simulations and opens up possibilities for applying non-classical continuum theories to nanoscale mechanics problems.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Geng Chen, Shengzhen Xin, Lele Zhang, Min Chen, Christian Gebhardt
Summary: This paper develops a multiscale numerical approach to predict the failure probability of additive manufacturing (AM) structures subjected to time-varied loadings. The approach combines statistical homogenization, shakedown analyses, and reliability methods to consider the influence of microstructural features on load bearing capacity. Through case studies on exemplary structures and different material randomness assumptions, the robustness of the results is confirmed and the mechanism of how micropores influence structural reliability is explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Guillaume Cadet, Manuel Paredes
Summary: This study proposes a comprehensive solution for calculating the stress field on the surface of a curved beam with a circular cross section, which is crucial for probabilistic fatigue life analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hongshi Ruan, Xiaozhe Ju, Junjun Chen, Lihua Liang, Yangjian Xu
Summary: This paper proposes a data-driven approach to improve the efficiency of computational homogenization for nonlinear hyperelastic materials. By combining clustering analysis, Proper Orthogonal Decomposition (POD), and efficient sampling, a reduced order model is established to accurately predict elastoplasticity under monotonic loadings. The numerical results show a significant acceleration factor compared to a purely POD-based model, which greatly improves the applicability for structural analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Pep Espanol, Mark Thachuk, J. A. de la Torre
Summary: The motion of a rigid body, described by Euler's equations in Classical Mechanics, assumes that the distances between constituent particles are fixed. However, real bodies cannot meet this assumption due to thermal fluctuations. In order to incorporate dissipative and thermal fluctuation effects into the description, a generalization of Euler's equations is proposed. This theory explains the origin of these effects as internal, rather than caused by an external thermal bath, and derives the stochastic differential equations governing the body's orientation and central moments.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Prateek Chandrakar, Narayan Sharma, Dipak Kumar Maiti
Summary: The current study focuses on the deterioration in thermal buckling performance of variable angle tow laminated (VATL) plates caused by damages in various composite and damage characteristics. Through numerical simulations and surrogate models, it was found that damages reduce the sensitivity of composite properties to buckling response, and a distinctive pattern of buckling response was observed when composite properties vary.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Liangteng Guo, Shaoyu Zhao, Jie Yang, Sritawat Kitipornchai
Summary: This study introduces composites reinforced with graphene origami nanofillers into functionally graded multilayered phononic crystals. Numerical investigations reveal that these materials possess negative Poisson's ratio and offer unique mechanical properties, which can be tuned by adjusting the weight fraction and hydrogen coverage of the graphene fillers.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Kai Li, Haiyang Wu, Yufeng Liu, Yuntong Dai, Yong Yu
Summary: This paper presents a novel self-oscillating liquid crystal elastomer fiber-beam system that can sway continuously and periodically under steady illumination. The governing equations of the system are established and the self-swaying process and motion mechanism are described in detail. Numerical results show the system undergoes supercritical Hopf bifurcation and the effects of system parameters on the self-swaying amplitude and frequency are discussed quantitatively.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Lingkang Zhao, Peijun Wei, Yueqiu Li
Summary: This paper proposes a spatial-temporal fractional order model to study the dynamic behavior of thermoelastic nanoplates in a thermal environment. The model provides a flexible approach to describe the small-scale effects and complex history-dependent effects. Analytical and numerical methods verify the reliability of the model, and the effects of parameters on the dynamic response are discussed.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
A. N. O'Connor, P. G. Mongan, N. P. O'Dowd
Summary: This research presents an autonomous framework that combines Bayesian optimization and finite element analysis to identify ductile damage model parameters. The framework has been successfully applied to P91 material datasets and demonstrates the impact of algorithm hyperparameters on the resulting non-unique ductile damage parameters.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
S. V. Sorokin, S. Lenci
Summary: This paper reconsiders the nonlinear coupling between flexural and longitudinal vibrations of ideally straight elastic beams, using a nonlinear theory of curved beams and employing class-consistent boundary conditions. A paradoxical difference in the nonlinear parts of the Duffing equations obtained in the limit of vanishing curvature and in the case of an ideally straight beam is demonstrated and explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Hari Manoj Simha
Summary: Dynamic Mode Decomposition (DMD) can be used to construct deformation fields for linear solids without making constitutive assumptions or knowing material properties. It operates on time-shifted data matrices and selects dominant modes using singular value decomposition. DMD can be used for reconstructing displacement states in elastic solids and identifying the onset of plasticity in elastic-plastic solids.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Ren, K. F. Wang, B. L. Wang
Summary: An electromechanical model is established to investigate the characteristics of a bilayer structure consisting of a piezoelectric semiconductor film and an elastic substrate. The combined effects of piezoelectricity and flexoelectricity are considered, and closed-form expressions for the distributions of electron concentrations and relevant electromechanical fields are obtained. The effects of interfacial parameter, flexoelectricity, and initial carrier concentration are discussed. The research highlights the importance of the interfacial parameter and the weakening effect of flexoelectricity on the imperfect interface of the bilayer system.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Yu Sun, Qiang Han, Chunlei Li
Summary: This paper presents the design of a tunable functionally graded metamaterial beam for flexural wave attenuation through the integration of a piezomagnetic shunt damping system and an inertial amplification mechanism. The proposed system demonstrates tunable and strong wave attenuation capability through local resonance and energy consumption. The theoretical and numerical results verify that the system can achieve significant wave attenuation at defined frequencies and also be optimized for maximal attenuation at various frequency ranges.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)