Article
Materials Science, Composites
Yang Wu, Weiqi Guo, Mingkun Jia, Xiaofan Gou, Wenxiang Xu
Summary: This study presents a novel method to obtain the depolarization tensor (DT) and average DT of arbitrarily shaped inclusions. The method leverages mathematical similarity from Green's function to obtain the Eshelby tensor and average Eshelby tensor, successfully extracting all tensor components. The accuracy of the method is validated through comparisons with existing literature data and finite element simulations, demonstrating accurate predictions of effective transport properties.
COMPOSITES SCIENCE AND TECHNOLOGY
(2023)
Article
Chemistry, Multidisciplinary
Sangjun Kang, Di Wang, Arnaud Caron, Christian Minnert, Karsten Durst, Christian Kuebel, Xiaoke Mu
Summary: Scanning/transmission electron microscopy (S/TEM) techniques have been used to analyze shear bands in metallic glasses for decades in order to improve their mechanical properties. However, conventional S/TEM lacks the ability to directly characterize the local strain and atomic structure of amorphous materials. In this study, 4-dimensional-STEM (4D-STEM) is applied to directly map and correlate the local strain and atomic structure at the nanometer scale in deformed metallic glasses. The results provide a new understanding of the formation of shear bands in metallic glasses.
ADVANCED MATERIALS
(2023)
Article
Physics, Applied
Tiezheng Tang, Zhizhen Jiang, Kai Zhu, Kuanyu Liu, Wei Bai, Pu Li, Xiaoqing Jin
Summary: In this study, Eshelby's inclusion model is used to simulate quantum wires and quantum dots, and closed-form solutions for the resultant displacements are obtained. By employing the method of Green's function, the displacement solutions are transformed into contour integrals along the boundary of the quantum wire. This research complements previous work and provides an efficient approach for analyzing the displacements of quantum wires.
JOURNAL OF APPLIED PHYSICS
(2023)
Article
Mechanics
Yang Wu, Mingkun Jia, Xiaofan Gou, Wenxiang Xu
Summary: In this study, a three-step method is proposed to derive the average Eshelby tensor of an arbitrarily shaped inclusion in an elastic field. The method is user-friendly and avoids the singularity that arises from solving complicated integrals. The reliability of the method is verified through comparisons with existing data, and it is also incorporated into a micromechanical model to predict the effective elastic moduli of two-phase composites.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Physics, Applied
Lu Li, Xinpei Li, Lianhe Li
Summary: This paper considers the effective electroelastic properties of one-dimensional (1D) hexagonal piezoelectric quasicrystals containing randomly oriented inclusions. The explicit expressions for the Eshelby tensors are obtained for the two types of inclusions. The electroelastic constants are acquired for four specific cases of random orientations of inclusions. Numerical results are provided for ellipsoidal inclusions. The findings demonstrate the significant influence of aspect ratio and orientation on the effective electroelastic properties of 1D hexagonal piezoelectric quasicrystal composites.
MODERN PHYSICS LETTERS B
(2023)
Article
Mechanics
Patrick Franciosi
Summary: Using the Radon transform and inversion formula method, the author provides exact expressions for the mean shape function, mean Green operator, and mean Eshelby tensor of finite solid cylinders and hollow cylinders in an infinite medium.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Engineering, Geological
Kai Liu, Huijian Zhang, Peng Yuan, Linfa Xiao
Summary: Rock formations undergo changes in strength and stiffness, affecting the stability of geostructures. This paper analyzes the stress, strain, and energy density distributions in rock formations with variations in elastic constants. Analytical solutions are presented for two scenarios: variation in elastic constant over the entire rock mass domain and variation in partial domain of interest. The analysis shows that stress components remain unchanged in the former scenario, while strain components are proportional to the inverse of the elastic constant. In the latter scenario, strain components remain the same, but stress components are proportional to the elastic constant. The analytical model is verified through numerical simulation using ABAQUS.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2023)
Article
Physics, Applied
Guangfang Li, Shuang Li, Lianhe Li
Summary: Eshelby tensors in elasticity are derived for two-dimensional decagonal quasicrystals with ellipsoidal inclusions. Using the intrinsic strain formula and Mori-Tanaka theory, the effective elastic properties of these composites are determined. The study investigates the influence of inclusion volume fraction and aspect ratio on the elastic properties of the decagonal quasicrystals.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Multidisciplinary
Moritz Cygorek, Michael Cosacchi, Alexei Vagov, Vollrath Martin Axt, Brendon W. Lovett, Jonathan Keeling, Erik M. Gauger
Summary: Analyzing open quantum systems is difficult due to the complexity of their environments, but an automated method for identifying efficient representations can aid in numerical simulations. While some environments can be accurately described, approximations may be necessary in cases of large Hilbert spaces. Accurate numerical methods exist, but are primarily limited to environments with Gaussian correlations.
Article
Mechanics
Chunlin Wu, Huiming Yin
Summary: When a bi-material with two jointed dissimilar half-planes containing an arbitrarily shaped polygonal inclusion is subjected to heat flow, the thermoelastic fields can be derived using the Green's function technique. The dual equivalent inclusion method (DEIM) is applied to handle the material mismatch, and the full thermoelastic fields can be obtained by integrating over the heat exchanger. The method can be used for a thin film containing a heat exchanger of arbitrary shape as either a heat sink or source.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Mechanics
Jose Antonio Franca Araujo
Summary: This paper presents an approach for the strain concentration tensor for materials with spherical or spheroidal pores using the Eshelby tensor for the elastoplastic medium. It analyzes the influence of pore direction and aspect ratio on the elastoplastic behavior of the material. The method can be easily incorporated into conventional mean-field homogenization schemes and is applicable to porous materials in a homogeneous isotropic matrix.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Engineering, Geological
Gopi Krishna Dondapati, Debasis Deb, Ian Porter, Shivakumar Karekal
Summary: Thin Spray-on Liner (TSL) is a new type of skin support that can enhance the load-deformability behavior of materials in excavation. The study showed that the fibreglass-reinforced TSL (FR-TSL) significantly improved the tensile strength of materials and changed the failure mode. The stress-strain curves with and without the liner exhibited distinct differences, indicating the effective confinement provided by the liner.
ROCK MECHANICS AND ROCK ENGINEERING
(2022)
Article
Engineering, Civil
Baoxuan Wang, Yubing Wang, Caixia Fan, Weidong Zhang
Summary: Transportation geotechnical engineering in cold regions faces challenges in dealing with the mechanical behavior of frozen soil under thermal and mechanical loads. Through uniaxial compression tests on frozen Genhe silty clay at different temperatures, it was found that mechanical indexes linearly increase with decreasing temperature. The relationship between energy distribution characteristics, mechanical behavior, and temperature was established, showing the complex thermodynamic process involved in the deformation and failure of frozen soil.
TRANSPORTATION GEOTECHNICS
(2021)
Article
Geosciences, Multidisciplinary
Tao Qin, Yiwei Wang, Xiangang Hou, Yanwei Duan
Summary: Energy is an internal variable that reflects the rock's internal damage and deterioration state during deformation and failure. Analyzing the rock's deformation and failure process from an energy perspective is crucial for understanding the mechanism of rock damage, fracture, and instability failure, and has practical significance for stability evaluation and support control of surrounding rock.
FRONTIERS IN EARTH SCIENCE
(2023)
Article
Chemistry, Physical
Masayuki Yamamoto, Masaki Tanaka, Osamu Furukimi
Summary: Nanoindentation testing was conducted to explore the relationships among indentation hardness, elastic work energy, plastic work energy, and total energy for a wide range of pure metal and alloy samples. The results showed that the ratios of elastic work energy to total energy and plastic work energy to total energy were positively and negatively correlated with elastic strain resistance, respectively. Additionally, the ratio of plastic work energy to elastic work energy was found to be well correlated with elastic strain resistance for all the studied materials.
Article
Engineering, Mechanical
Wennan Zou
ACTA MECHANICA SINICA
(2015)
Article
Multidisciplinary Sciences
Y. -G. Lee, W. -N. Zou, E. Pan
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2015)
Article
Acoustics
P. Shi, C. Q. Chen, W. N. Zou
Article
Mechanics
Y. -G. Lee, W. -N. Zou, H. -H. Ren
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2016)
Article
Multidisciplinary Sciences
W. -N. Zou, Q. -C. He
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2017)
Article
Multidisciplinary Sciences
Chaocheng Wang, Wei Chen, Cheng Han, Guang Wang, Binbing Tang, Changxin Tang, Yan Wang, Wennan Zou, Wei Chen, Xue-Ao Zhang, Shiqiao Qin, Shengli Chang, Li Wang
SCIENTIFIC REPORTS
(2014)
Article
Materials Science, Multidisciplinary
Zhongming Chen, Yannan Chen, Liqun Qi, Wennan Zou
MATHEMATICS AND MECHANICS OF SOLIDS
(2019)
Article
Mechanics
Wennan Zou, Xiangyang Xu, Changxin Tang
Summary: This paper focuses on the importance of the right eigen representation in vortex recognition method based on velocity gradient, classifying the streamline patterns in the two-dimensional case and demonstrating that parameters extracted from the right eigen representation are more suitable for describing the geometrical features of the spiral streamline structure.
Article
Chemistry, Physical
Changxin Tang, Wei Wan, Lei Zhang, Wennan Zou
Summary: The article discusses the symmetry classifications of high-order physical tensors, emphasizing the role of deviators and revealing the structure of deviators through multipole representation. It provides the symmetry classifications of all even-type deviators and the specific multipole structure of unit vector sets for deviators up to sixth-order.
Article
Mechanics
Zhaohang Lee, Yu Tang, Wennan Zou
Summary: This paper deeply studies the problem of an infinite homogeneous isotropic medium with a rigid inclusion subjected to a uniform remote heat flux. The analytical solution due to the remote heat flux is revisited with the introduction of relative rigid-body displacement of the rigid inclusion. The study shows that the rigid-body displacement and direction of the remote heat flux have significant effects on the system.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Thermodynamics
Zhaohang Lee, Yu Tang, Wennan Zou
Summary: The two-dimensional thermoelastic problem of an adiabatic cavity in an infinite isotropic homogeneous medium subjected to uniform heat flux is studied. The obtained K-M potentials satisfy the boundary conditions and allow for the translation of the cavity. New explicit analytical solutions are compared with literature and some problems are identified and corrected. Discussions on thermal stress concentration around the tips of three typical cavities are provided.
JOURNAL OF THERMAL STRESSES
(2021)
Article
Engineering, Mechanical
Zhaohang Lee, Yu Tang, Wennan Zou
Summary: Thermoelectric materials have gained increasing attention for their environmental friendliness and potential use in sustainable and renewable energy applications. This study investigates the two-dimensional thermoelectric coupling problem caused by a cavity embedded in a homogeneous thermoelectric material. The obtained results are completely accurate and possess a finite form. The findings reveal that the distribution of thermoelectric field and stress at the tip depends on the curvature of the contour and load direction.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Mechanics
Zhaohang Lee, Yu Tang, Wennan Zou
Summary: This study investigates the two-dimensional thermoelectric coupling problem of a rigid inclusion embedded in a thermoelectric material subjected to uniform electric current density or uniform energy flux at infinity. The results provide insight into the distribution of rigid-body displacements, thermoelectric fields, and stresses around the boundary under different load directions.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Engineering, Multidisciplinary
Zhaohang Lee, Zhongmin Xiao, Yu Tang, Wennan Zou
Summary: This study investigated the behavior of a rigid inclusion embedded in a soft ferromagnetic material in two-dimensional space under uniform magnetic load at infinity, considering the magnetic insulation boundary of the rigid inclusion. Analytical solutions for the magnetic and stress fields were obtained using linear magnetoelastic theory and complex variable theory. The results revealed that the displacement, magnetic flux, and stress distribution of the rigid inclusions are significantly influenced by their shape and contour curvature.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mechanics
Wennan Zou, Yonggang Lee
