Article
Thermodynamics
Xu Wang, Peter Schiavone
Summary: In this study, the Stroh octet formalism was applied to derive the electroelastic field for an anisotropic piezoelectric solid weakened by a blunt crack, obtaining explicit expressions for various parameters specifically at the tip of the crack.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Mechanics
Xu Wang, Peter Schiavone
Summary: The elastic field describing stresses and displacements for a blunt crack in generally anisotropic elastic material subjected to two-dimensional deformations was derived using the Stroh sextic formalism. It was found that the elastic field is exact everywhere in an anisotropic elastic material with a parabolic boundary and is not confined to the near-tip region. An explicit expression for the elastic field in an orthotropic elastic material with a parabolic cavity was presented.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Mechanics
Xu Wang, Peter Schiavone
Summary: Explicit expressions for three 2 x 2 generalized Barnett-Lothe tensors associated with anti-plane deformations of monoclinic piezoelectric materials are derived, with concise and elegant results obtained for orthotropic piezoelectric materials. These tensors contain four independent components explicitly expressed in terms of electroelastic constants and Stroh eigenvalues.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Multidisciplinary Sciences
Andrea Nobili, Enrico Radi
Summary: From variation principles, we develop the Hamiltonian formalism for generally anisotropic microstructured materials, with the intention of extending the well-known Stroh formulation. Microstructure is described by the indeterminate (or Mindlin-Tiersten) theory of couple-stress elasticity. The resulting canonical formalism is in the form of a differential algebraic system of equations, which is then transformed into purely differential form. The structure is a result of the internal constraint that relates micro- to macro-rotation. The article focuses on the special cases of plane and antiplane deformations, which both lead to a seven-dimensional coupled linear system of differential equations. The canonical formalism provides new insight into the structure of the problem and highlights important symmetry properties.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
Article
Mathematics, Applied
Xu Wang, Peter Schiavone
Summary: In this study, new expressions for the net interaction force between skew dislocations in different materials were derived using numerical computations and the Stroh octet formalism. The results showed that the net interaction force is independent of the distance between dislocations, and can vanish under certain conditions.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2021)
Article
Thermodynamics
Xu Wang, Peter Schiavone
Summary: The study investigates the Coulomb force acting on a line charge in an anisotropic piezoelectric bimaterial, finding that the force is independent of the orientation of the bimaterial interface under certain conditions. Additionally, it examines the effects of a rigid conducting surface and a traction-free insulating surface on the Coulomb force on a line charge, concluding that the former always attracts the charge while the latter can be either repulsive or attractive due to the piezoelectric effect.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2022)
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
Mathematics, Applied
Xu Wang, Peter Schiavone
Summary: Using the Stroh octet formalism, the study obtained the electroelastic fields in an infinite homogeneous piezoelectric medium containing a parabolic Eshelby inclusion, showing that the internal electroelastic field inside the inclusion is uniform and expressing it explicitly in terms of reduced generalized compliances, eigenstrains, and eigenelectric fields. Additionally, the decaying non-uniform electroelastic field in the exterior of the parabolic inclusion was also obtained.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2021)
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, 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
Mechanics
Meng -Ling Hsieh, Chyanbin Hwu
Summary: In this study, a full-field solution for an infinite anisotropic plate containing a hole perturbed from an ellipse subjected to uniform loading at infinity is derived using Stroh formalism. Through perturbation technique and the method of analytical continuation, the unknown coefficients of the solution series are solved, resulting in an accurate explicit full-field solution up to the first order. Numerical examples are provided to verify the results against existing solutions and commercial finite element software ANSYS, concluding that the solutions presented in this paper are the first verified correct full-field analytical solutions published in the literature.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Xiang Mu, Zhiming Hu, Zhaowei Zhu, Jinming Zhang, Yang Li, Liangliang Zhang, Yang Gao
Summary: This paper investigates the problems of two-dimensional piezoelectric quasicrystal composite wedges and spaces subjected to different loadings. Analytical expressions and numerical examples are provided to study the mechanical behaviors of quasicrystals under different loadings.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
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
Materials Science, Multidisciplinary
Ping Yang, Xu Wang, Peter Schiavone
Summary: An analytical solution for the Eshelby's problem of a parabolic inclusion with uniform in-plane and anti-plane eigenstrains in an anisotropic elastic plane is derived. It is found that the stresses, total strains, and rigid-body rotation inside the parabolic inclusion are uniform. Real-form expressions of these internal uniform physical quantities in terms of the reduced elastic compliances and imposed eigenstrains are obtained. The constant Eshelby's tensor inside the parabolic inclusion can be completely determined by the reduced elastic compliances.
MECHANICS OF MATERIALS
(2021)
Article
Physics, Multidisciplinary
Youqi Zhang, Rongyu Xia, Kefu Huang, Zheng Li
Summary: In this paper, a theoretical model is established to analyze the propagation of guided waves in periodic piezoelectric plates. The results show that the coupling of local electric resonant modes and propagating elastic wave modes can induce hybridization bandgaps, which can be controlled by altering the electrical boundary conditions and designing shunting circuits.
FRONTIERS IN PHYSICS
(2022)
Article
Engineering, Multidisciplinary
J. Y. Liou, J. C. Sung
APPLIED MATHEMATICAL MODELLING
(2016)
Article
Engineering, Multidisciplinary
P. S. Yang, J. Y. Liou, J. C. Sung
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2008)
Article
Mechanics
J. Y. Liou, J. C. Sung
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2008)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2008)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2008)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2008)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2012)
Article
Mechanics
P. S. Yang, J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2007)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2007)
Article
Engineering, Multidisciplinary
W. C. Sue, J. Y. Liou, J. C. Sung
APPLIED MATHEMATICAL MODELLING
(2007)
Article
Mechanics
J. Y. Liou, J. C. Sung
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2007)
Article
Computer Science, Interdisciplinary Applications
JY Liou, JC Sung
COMPUTERS & STRUCTURES
(2005)
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)