Article
Materials Science, Multidisciplinary
Xiang Mu, Ting Cao, Wenshuai Xu, Zhaowei Zhu, Taiyan Qin, Liangliang Zhang, Yang Gao
Summary: This paper investigates the planar problems of three-dimensional cubic piezoelectric quasicrystal composite wedges and spaces, with a focus on singular behaviors of interface corner and interface crack. A crucial matrix related to material properties and wedge angle is derived, and the transcendental equation determining the singular orders is obtained. Numerical examples are provided to illustrate the singular orders under different boundary conditions for various types of wedges and spaces. The results are verified and show that phonon field, phason field, electric field, material properties, and boundary conditions have significant influences on singularities.
ACTA MECHANICA SOLIDA SINICA
(2023)
Article
Crystallography
Yuxuan Wang, Xin Feng, Liangliang Zhang, Ernian Pan, Yang Gao
Summary: This paper investigates the dynamic response of multilayered piezoelectric quasicrystal sector plates with imperfect interfaces, and obtains numerical results for the influencing factors using numerical methods.
Article
Mechanics
Lianzhi Yang, Zijian Zhang, Fanmin He
Summary: This paper presents a method for obtaining the three-dimensional unsteady state solution of a saturated anisotropic finite porous medium. The approach uses Laplace transform, eigen equation method, and propagation matrix method to address the governing equations and obtain the transient solution for different types of porous media. Numerical examples are provided to validate the accuracy and applicability of the proposed method.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Mechanics
J. A. Manyo Manyo, G. E. Ntamack, L. Azrar
Summary: This work presents frequency and time domain vibration analyses of simply supported multilayered magneto-electro-elastic (MEE) plates with viscoelastic interfaces. The influence of the interface viscosity parameters on the 3D displacements, stresses, electrical and magnetic potentials on the multilayered magneto-electro-elastic plates as well as on the natural frequencies are investigated. The presented time-frequency pseudo-Stroh formalism is an efficient procedure for the dynamic modeling of multilayered magneto-electro-elastic plates with various types of interfaces and layers.
ARCHIVE OF APPLIED MECHANICS
(2022)
Article
Mechanics
Chia-Wen Hsu, Chyanbin Hwu
Summary: This paper corrects existing solutions for holes/cracks in laminates by revising the traction-free hole boundary condition and providing the corrected solutions. The study not only offers corrected solutions for various cases in laminates, but also derives explicit closed-form solutions for deflection. Furthermore, a special boundary element method is developed to assist in verifying the corrected solutions and demonstrate its accuracy and efficiency in handling problems with holes/cracks in laminates.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
Xiaoyu Fu, Xiang Mu, Jinming Zhang, Liangliang Zhang, Yang Gao
Summary: In this paper, analytical solutions of Green's functions for a 2D piezoelectric quasicrystal (PQC) in half-space and bimaterials are obtained using the elastic theory and Stroh formalism. Numerical studies reveal a prominent coupling effect among the phonon field, phason field, and electric field, resulting in characteristic butterfly-shaped contours in 2D PQCs. Furthermore, variations in physical quantities are observed due to changes in material parameters.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2023)
Article
Mathematics, Applied
Lianzhi Yang, Fanmin He, Yang Li, Zhiyong Song
Summary: This study presents a three-dimensional steady-state solution of fluid saturated anisotropic finite media using the eigenequation method and propagator matrix method. The hydromechanical behaviors of a sandwich poroelastic medium are analyzed, with a focus on the influence of fluid parameters and source positions on the layered media. Results indicate significant impact of fluid parameters and source positions on the hydromechanical behaviors of the media.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2021)
Article
Thermodynamics
Lianzhi Yang, Shaohui Du, Fanmin He, Zijian Zhang
Summary: This study presents a 3D thermoelastic analysis method for laminated cylindrical shells under different loads. A thinning layer approach is used to deal with the heat conduction equation and the elastic equation, and a closed form solution is obtained. The solutions are verified through a numerical example and can be used for complex boundary conditions.
JOURNAL OF THERMAL STRESSES
(2023)
Article
Thermodynamics
Xiang Mu, Xiaoyu Fu, Zhaowei Zhu, Liangliang Zhang, Yang Gao
Summary: In this paper, the singular behaviors of interface corners, interface cracks, composite wedges, and spaces in one-dimensional hexagonal quasicrystal are investigated within the framework of thermo-electro-elasticity. The exponential form is used to describe the stress function and temperature variation, enabling the establishment of analytical expressions for the singular orders of stress and heat flux based on the Stroh formalism. Numerical examples demonstrate the influences of various factors on singularities, such as geometry structures, material properties, boundary conditions, and heat conduction coefficients.
JOURNAL OF THERMAL STRESSES
(2023)
Article
Mechanics
Chia-Wen Hsu, Chyanbin Hwu
Summary: This paper develops an expanded Stroh-like formalism to obtain analytical solutions for general MEE composite laminates, including all possible coupling effects. The obtained solutions have the same mathematical form as elastic solutions, with differences only in the matrices and vectors involved. The correctness of the solutions is verified through comparison with results obtained using the boundary element method.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Xiang Mu, Wenshuai Xu, Zhaowei Zhu, Liangliang Zhang, Yang Gao
Summary: This paper focuses on the image force in cubic piezoelectric quasicrystal semi-infinite space and infinite space containing two dissimilar quasicrystal half-spaces. Using the Stroh formalism, the authors derive the expressions of the Green's function for generalized displacement and stress under multi-physical loading conditions. The image force applied to a generalized line dislocation with different boundary conditions is also considered. The paper provides illustrative examples and investigates the effects of material parameters and dislocation scheme on image force.
Article
Engineering, Multidisciplinary
Najat Magouh, Lahcen Azrar, Khaled Alnefaie
Summary: This paper presents mathematical modelling and semi-analytical solutions for 3-D static problems of electro-elastic mono and multilayered plates using the extended Stroh-like formalism. The dynamic analysis of such structures is conducted by coupling a time trigonometric series with the Stroh-like formalism. The results demonstrate the influence of graded factor, degeneracy, and excitation on mechanical and electrical responses of laminated plates.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Physics, Applied
Lu Li, Xinpei Li, Lianhe Li
Summary: This study systematically investigates the effective elastic properties of 1D hexagonal quasicrystal (QC) with spring-type imperfect interfaces. The numerical results show that the presence of imperfect interfaces reduces the effective elastic constants to some extent, indicating the important role played by the interface in the elastic properties of QC composites.
MODERN PHYSICS LETTERS B
(2024)
Article
Mathematics, Applied
Xin Feng, Liangliang Zhang, Yuxuan Wang, Jinming Zhang, Han Zhang, Yang Gao
Summary: This paper presents a semi-analytical solution for the static response of a functionally graded multilayered decagonal QC rectangular plate with mixed boundary conditions by using the state-space method and differential quadrature technique. Numerical examples are provided to verify the effectiveness of this method, which is very useful for the design and characterization of FG QC materials in multilayered systems.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2021)
Article
Engineering, Multidisciplinary
Chia-Wen Hsu, Chyanbin Hwu
Summary: Recently, corrected Green's functions for holes/cracks in composite laminates were used to derive fundamental solutions for special boundary elements. These solutions can handle various types of hole/crack problems without requiring meshes on the hole and crack surfaces. The stress intensity factors of cracks can be directly calculated without the need for meshes along the crack surfaces or near the crack tip.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(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)