Article
Engineering, Mechanical
Wenxiao Zhou, Fuqian Yang
Summary: This study investigates the effect of surface stress on the indentation deformation of an elastic half-space. By using rigid axisymmetric indenters and an alternative condition to determine the contact radius, the numerical results show the combined effects of surface stress and Poisson's ratio on the load-displacement relationship for elastic half-space indentation. Surface stress significantly affects shear stress and moderately affects normal stress in the direction perpendicular to the surface.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Mechanics
Isa Comez
Summary: This paper presents an analytical method for studying the dynamic contact response of an orthotropic viscoelastic coated half plane under the action of a rigid flat punch transmitting a harmonic vertical force. The general stress and displacement expressions are derived using Helmholtz functions and integral transform technique, and a Cauchy type singular integral equation is obtained and solved numerically. The effects of various factors on the dynamic contact stress and dynamic in-plane stress are investigated.
Article
Materials Science, Multidisciplinary
Rohan Abeyaratne, Eric Puntel, Filippo Recrosi, Giuseppe Tomassetti
Summary: Motivated by experiments on dendritic actin networks exhibiting surface growth, this study investigates the stability of the growth process. A biaxially stressed half-space growing at its boundary is chosen as the reference geometry, and the actin network is modeled as a neo-Hookean material. The kinetic relation between growth velocity and stress-dependent driving force is utilized. The stability problem is formulated and discussed under different loading and boundary conditions, with and without surface tension, with connections made to Biot's 1963 surface instability threshold.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Physics, Multidisciplinary
Anderson L. de Jesus, Alan C. Maioli, Alexandre G. M. Schmidt
Summary: The study investigates the scattering of a plane wave in the hyperbolic plane, formulating the problem using the Lippmann-Schwinger equation and solving it exactly for barriers modeled as various geometric shapes.
Article
Engineering, Electrical & Electronic
Krzysztof A. Michalski, Juan R. Mosig
Summary: This study investigates the accuracy of the first-order multiplicative and additive modified saddle point integration methods for the Sommerfeld problem of a vertical Hertzian dipole over a lossy half-space. The results show that the additive method leads to the same asymptotic field representation regardless of the sign of the image, while the multiplicative variant yields distinct results in these two cases, both of which differ from the unique result of the additive method.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
(2022)
Article
Engineering, Geological
Fang Wang, Xueli Han, Tao Ding
Summary: The dynamic responses of an anisotropic layered poroelastic half-space under a moving point load were studied using Stroh formalism and Fourier transform. Three-dimensional solutions for displacements, pore pressure, stresses, and fluid fluxes were obtained by considering boundary conditions and continuity conditions. Numerical examples validated the solution's accuracy and elegance, with agreement with known results in special cases, and the 3D dynamic Green's functions showed the impact of material properties on displacement and stress distributions.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2021)
Article
Engineering, Geological
Y. B. Yang, P. L. Li, W. Chen, J. Li, Y. T. Wu
Summary: The study investigates the 2.5D dynamic response of a half-space to an internal point load moving at suband super-critical speeds using both analytical and numerical approaches. By converting the partial differential equations of waves to ordinary differential equations via Fourier transformation, a multiplying factor is derived to account for load dissipation at different velocities. The findings include similarities in solutions for fast-moving point loads and line loads using 2D and 2.5D approaches, and increased displacement of the half-space with the self-frequency of the moving load.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Gary F. Dargush
Summary: This study examines the frictionless response of an elastic cylinder pressed between two rigid parallel plates under consistent couple stress theory, as an alternative view to classical Hertz theory. By developing a couple stress boundary element contact formulation, the deformation and stresses in two-dimensional plane strain problems can be calculated, revealing a different picture of contact stresses. Numerical investigation shows that the location of maximum effective stress may occur directly on the contacting area, depending on the intrinsic length scale parameter l of couple stress elasticity.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Materials Science, Multidisciplinary
H. Andresen, R. M. N. Fleury, M. R. Moore, D. A. Hills
Summary: This contribution introduces an asymptotic formulation for stick-slip behavior in incomplete contacts under oscillatory variation, providing a solution for cases where known analytical solutions reach limitations. A comparison is made between the explicit analytical solution and the asymptotic approach using the example geometry of a shallow wedge.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Physics, Multidisciplinary
Saad Althobaiti
Summary: In this study, the authors extend the previous work on the dynamics of surface wave propagation in a pre-stressed incompressible half-space by considering the presence of a coating layer and imposing perfect continuity conditions between the layers. They also derive effective boundary conditions within the long-wave assumption using the asymptotic approximation method.
Article
Engineering, Mechanical
R. Bagheri, V Enjilela
Summary: In this study, DSIFs at the tips of cracks in FGMs at the interface between two half-planes are calculated using the DDT. The problem caused by interface dislocations is solved and singular integral equations are extracted, which are then discretized numerically to obtain DSIFs. Numerical results show the effects of parameter variations on DSIFs.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2021)
Editorial Material
Environmental Sciences
Vittorio Barale
Summary: In the past half century, satellite oceanography has made significant progress and provided abundant remote sensing data, contributing to marine science research.
Article
Mathematics, Applied
Fei Long, Xian-Fang Li
Summary: The Flamant problem of a cubic quasicrystal half-plane under normal and tangential concentrated forces has been solved. This solution serves as a fundamental solution for other problems. The Fourier transform method is applied to obtain explicit expressions for the fundamental solution of the phonon and phason stresses. A comparison between the fundamental solutions of cubic quasicrystals and conventional cubic crystals is made, illustrating the influence of the phason field on the phonon stress and deformation.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2022)
Article
Mechanics
Jialiang Cen, Kyriakos Komvopoulos
Summary: A contact mechanics analysis was performed using the finite element method to study interfacial delamination in elastic and elastic-plastic homogeneous and layered half-spaces. The analysis considered normal and shear surface tractions induced by indentation and sliding, and the surface separation at the delamination interface was controlled by a cohesive zone constitutive law. The study provided insight into the effects of indentation depth, sliding distance, and material properties on interfacial delamination.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2023)
Article
Mathematics
Guosheng Jiang, Zhehui Wang, Jintian Zhu
Summary: For n≥2, Liouville type theorems for the minimal surface equation in half space R-+(n) with constant Neumann boundary value or linear Dirichlet boundary value have been obtained.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Mechanics
Yongchao Zhang, Changwen Mi
COMPOSITE STRUCTURES
(2020)
Article
Materials Science, Multidisciplinary
Jun Hong, Gongye Zhang, Xiao Wang, Changwen Mi
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2020)
Article
Materials Science, Multidisciplinary
Youxue Ban, Changwen Mi
MATHEMATICS AND MECHANICS OF SOLIDS
(2020)
Article
Engineering, Mechanical
Xiaobao Li, Changwen Mi
Summary: In this article, a semi-analytical method is developed for the nanocontact problem of elastic half-space indented by a rigid cylindrical roller. Surface tension, surface tensile stiffness and surface flexural rigidity are considered, and the effects of surface elasticity on nanocontact properties are analyzed. Results show that lower maximum contact pressure and non-zero minimum pressure are found in the presence of surface effects, and surface tension and surface flexural rigidity significantly affect contact properties.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2021)
Article
Materials Science, Multidisciplinary
Gongye Zhang, Chenyi Zheng, Changwen Mi, Xin-Lin Gao
Summary: A new microstructure-dependent non-classical model for Kirchhoff plates is developed by incorporating the strain gradient and couple stress effects. The model includes one material constant for the strain gradient effect and one material length scale parameter for the couple stress effect. The model is validated by solving buckling, static bending and free vibration problems of a simply supported rectangular plate. The results show that the microstructure effects lead to reduced plate deflections, increased critical buckling loads and higher natural frequencies.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Gongye Zhang, Chenyi Zheng, Xinyuan Qiu, Changwen Mi
Summary: A new model has been developed to predict band gaps for flexural elastic wave propagation in periodic microbeam structures, taking into account material parameters, beam thickness, unit cell length, and volume fraction. Numerical results show that band gap frequency range increases with material parameters, and the predicted band gap size is larger than that of the classical model, especially for thin beams. Unit cell length and volume fraction also have significant effects on the band gap.
ACTA MECHANICA SOLIDA SINICA
(2021)
Article
Engineering, Multidisciplinary
Chenyi Zheng, Gongye Zhang, Changwen Mi
Summary: A novel two-level hierarchical strength theory for nanoporous materials is proposed in this study to accommodate the effects of nanovoid surface and multiscale porosities, providing a substantial reinforcement to the conventional single level strength criteria available in the open literature.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Engineering, Multidisciplinary
Chenyi Zheng, Changwen Mi
Summary: This study investigates the impact of void surface effects on the macroscopic yield criterion of ductile materials embedded with nanosized spherical cavities. By conducting a limit analysis and developing analytical parametric equations based on a plastic surface model, the void surface effects are addressed.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
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
Materials Science, Multidisciplinary
Rui Cao, Ling Li, Xiaobao Li, Changwen Mi
Summary: This paper addresses the frictional receding contact between a functionally graded elastic layer and an orthotropic substrate under the indentation of a rigid flat-ended stamp, considering both normal and tangential indentation forces. The study utilizes dual singular integral equations to solve the double contact problem, focusing on the influence of frictional coefficients, stiffness orthotropy, and gradation on the contact properties. Extensive parametric studies verify the accuracy of the solutions and provide insights for tailoring double contact properties through appropriate selection of governing parameters.
MECHANICS OF MATERIALS
(2021)
Article
Physics, Condensed Matter
Xiaotian Wang, Xiaobao Li, Changwen Mi
Summary: This study introduces two novel lateral hetero-superlattices constructed by CuO and FeO lattices, with their structural, mechanical, electronic and spin properties analyzed through density functional theory calculations. The lattice parameters of CuO and FeO monolayers are found to depend on the spin alignments of Cu and Fe atoms, leading to anisotropic mechanical properties and finite indirect electronic band gaps in the proposed superlattices. These findings may contribute to the design of spintronics based on the hetero-superlattices proposed in this work.
SUPERLATTICES AND MICROSTRUCTURES
(2021)
Article
Crystallography
Jun Hong, Zhuangzhuang He, Gongye Zhang, Changwen Mi
Summary: A new model of non-classical phononic crystal microbeam incorporating microstructure, piezomagnetism, piezoelectricity and temperature effects is provided for elastic wave bandgap generation. The study reveals that the bandgap frequency is raised with the presence of piezoelectric and microstructure effects, and geometric parameters play an important role. Adjusting external electric and magnetic potentials at micron scale can lead to large bandgaps, while lower bandgap frequency can be achieved through temperature rise at all length scales.
Article
Engineering, Multidisciplinary
Youxue Ban, Xiaobao Li, Ling Li, Changwen Mi
Summary: This study examines the interface elasticity between an elastic half-space and a spherical nanoinhomogeneity. By decomposing the load and using different displacement potentials, the problem is successfully solved. Parametric studies reveal the important influences of interface tension, interface Lame constants, and other factors on stress distributions and stress concentrations.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Materials Science, Multidisciplinary
G. Y. Zhang, X. -l. Gao, C. Y. Zheng, C. W. Mi
Summary: A new non-classical Bernoulli-Euler beam model is developed using a simplified micromorphic elasticity theory, containing four elastic constants and one material length scale parameter. The model is formulated through a variational approach based on Hamilton's principle, accounting for micro-deformations of material particles and size effects. The model reduces to classical elasticity-based counterpart in the absence of microstructure effects, showcasing its versatility in analyzing static bending, buckling, and wave propagation in beams.
MECHANICS OF MATERIALS
(2021)
Article
Chemistry, Physical
Bin Li, Changwen Mi
Summary: This study investigated the adsorption behavior of VOC molecules on neutral and electrically charged CNTs through molecular dynamics simulations. The results revealed a strong correlation between the hydrophobicity of VOC molecules and their adsorption affinity, with electrically charged CNTs showing interactions through electrostatic attraction or repulsion with charged groups in the VOC molecules. The introduction of charges on the CNT surface can optimize the adsorption process of VOC molecules.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(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)
