Article
Engineering, Multidisciplinary
Hong Li, Cu Cui, Qinghui Zhang
Summary: The poor conditioning in GFEM/XFEM for bi-material crack problems has been addressed by proposing a stable GFEM (SGFEM) that achieves optimal convergence, has a scaled condition number, and achieves convergence and conditioning without deterioration as the interface lines approach the boundaries of the elements. The proposed SGFEM demonstrates better performance than conventional GFEM/XFEM methods in terms of convergence and conditioning for bi-material crack problems.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Mathematics, Applied
Mohammed AL Horani, Angelo Favini, Hiroki Tanabe
Summary: This study focuses on singular integro-differential abstract Cauchy problems, providing necessary conditions on spaces and operators to ensure the existence and uniqueness of solutions. Applications from partial differential equations are used to illustrate the abstract singular integro-differential problem.
EVOLUTION EQUATIONS AND CONTROL THEORY
(2021)
Article
Engineering, Multidisciplinary
Xiang Li
Summary: The study investigates bimaterial anti-plane interfacial crack problems with arbitrary distributed forces, proposing Jordan-form special solutions to improve Symplectic analytical singular element displacement modes. Numerical examples demonstrate the method's effectiveness and accuracy, highlighting the necessity and applicability of the special solutions in other physical problems represented by Laplace's equation.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Computer Science, Interdisciplinary Applications
Wen Wang, Qi-Zhi Zhu, Tao Ni, Bozo Vazic, Pania Newell, Stephane P. A. Bordas
Summary: This paper investigates the interaction between crack propagation and interfaces in bimaterial systems through simulated interfacial and subinterfacial fracture behaviors. A modeling approach using the extended bond-based peridynamic model is introduced and validated through a convergence study. The results show that the proposed method satisfactorily captures the interplay between interfaces and crack propagation, and an equilibrium state of mode-I crack growth is successfully obtained in the subinterfacial fracture case.
COMPUTERS & STRUCTURES
(2023)
Article
Mechanics
Achchhe Lal, M. B. Vaghela
Summary: This article investigates the influence of several types of discontinuities like interfacial crack, void, and inclusion in a bimaterial plate using XFEM method. The normalized mixed-mode stress intensity factors (NMMSIFs) are analyzed under uniaxial tensile load, considering various numerical problems. The study reveals that the number and geometric shape of voids/inclusions significantly affect the values and fluctuations of stress intensity factors.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Materials Science, Multidisciplinary
Ranjan Kumar Mishra
Summary: This work analyzes interfacial crack in piezoelectrics bimaterial plate under electromechanical loading environment using extended isogeometric analysis (XIGA) approach with Bezier extraction of NURBS. The study implements asymptotic crack-tip branch functions and discontinuous Heaviside function for capturing singularity at cracktip and discontinuity across surfaces of a crack. The results are validated and numerical problems are solved to calculate fracture parameters in terms of normalized intensity factors with respect to shear loads, electrical loads, crack orientation angle, and angle of polarization.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Mathematics
Abdelkader Moumen, Abdelaziz Mennouni
Summary: This paper introduces a projection method based on Vieta-Lucas polynomials and presents an effective approach to solve a Cauchy-type fractional integro-differential equation system. The proposed model overcomes the issue of two linear equation systems and proves the existence of an approximate solution for the problem. The theoretical results are validated through numerical simulations.
Article
Mathematics, Applied
Lijiao Wu, Haixiang Zhang, Xuehua Yang
Summary: This paper presents an efficient numerical method for fourth-order partial integro-differential equations with weakly singular kernel. The method is constructed on graded meshes and achieves second-order convergence for weakly singular solutions. Numerical results demonstrate its effectiveness, and further improvement in convergence order is achieved using the extrapolation method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
A. M. S. Mahdy, D. Sh Mohamed
Summary: This article investigates the approach to solving Cauchy integral equations using the Lucas polynomial technique, and demonstrates the accuracy and efficiency of this technique through numerical examples.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
Article
Mathematics
Alexander Domoshnitsky, Alexander Sitkin, Lea Zuckerman
Summary: By studying the model of the coronavirus pandemic spread using integro-differential equations, we can predict the development of the epidemic, including the number of hospitalized patients and the demand for medical resources. The use of integral terms in the model allows us to accurately predict the attenuation of the disease and the response time of the healthcare system.
Article
Engineering, Mechanical
Dian-yi Huang, Yan Ma, Qiu-hua Rao, Wei Yi, Kai Shen
Summary: In this study, a new semi-analytic method for calculating the thermal-mechanical coupling stress intensity factor of interfacial crack is established. The method is validated under both insulated and constant temperature conditions. The results show that the singularity index of the temperature field at the crack-tip depends on the material parameters for crack perpendicular to and terminated at the interface, but is independent of the material parameters for the crack located at the interface. The method provides a theoretical basis for the anti-cracking optimal design of CAES multi-layer caverns under thermal-mechanical loading condition.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Geochemistry & Geophysics
Zhuangzhuang Kang, Hongnian Wang, Yazhou Wang, Changchun Yin
Summary: A new approximation algorithm is developed to compute the electromagnetic tensor Green's function in biaxial anisotropic media based on Fourier series expansion, enhancing computation efficiency by using finite terms of the series. The algorithm is shown to be valid and robust through agreement with analytic solutions and demonstration on a transversely isotropic medium.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
(2022)
Article
Geochemistry & Geophysics
R. Myhill
Summary: This paper presents a strategy for extending scalar equations of state to model anisotropic materials under nearly hydrostatic conditions. The method involves defining scalar equations and a tensor state variable, and provides expressions to describe their relationship and derive related physical properties.
GEOPHYSICAL JOURNAL INTERNATIONAL
(2022)
Article
Materials Science, Multidisciplinary
M. O. Maksymovych, O. V. Maksymovych, M. Dutkiewicz
Summary: An algorithm has been developed to study stresses at curvilinear cracks in an anisotropic strip using the method of singular integral equations. The integral equations are written based on a Green-type solution, ensuring the fulfillment of boundary conditions at the rectilinear boundaries of the strip. The obtained Green's solution is used to determine the stresses in composite strips with cracks under various loading conditions.
Article
Mechanics
V. I. Fabrikant
Summary: This paper presents the first exact closed form solution to the problem of a penny-shaped interface crack, subjected to an axisymmetric normal and tangential loading. The crack is located at the boundary between two bonded piezo-electric transversely isotropic half-spaces, made of different materials. The combination of Green's functions for the two different half-spaces and Fourier transform is used. The governing equations are derived, which are valid for a crack of arbitrary shape.
Article
Engineering, Multidisciplinary
Xin Wu, Tingting Huang, Kun Zhou, Wei Dai
Summary: This paper proposes a multivariate degradation model based on the Wiener process to address the challenges of degradation modeling and reliability prediction in modern products with complex structures and multiple dependent performance indicators (PIs). The model establishes correlation among PIs by considering common underlying components called clusters and incorporates the effect of dynamic environment on degradation rate. The reliability function of the product is obtained using an approximation approach. Simulation and case studies demonstrate the effectiveness and application of the proposed model.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY
(2023)
Article
Mechanics
Xu Wang, Peter Schiavone
Summary: In this study, neutral coated spherical inhomogeneities were constructed in a nonlinearly coupled thermoelectric material. Exact expressions for the effective electric and thermal conductivities of two-phase sphere assemblages completely replacing the original thermoelectric matrix were obtained. The most restrictive Hashin-Shtrikman bounds were derived for the effective electric and thermal conductivities of macroscopically homogeneous and isotropic two-phase thermoelectric materials.
Review
Chemistry, Multidisciplinary
Mei Chen, Ming Gao, Lichun Bai, Han Zheng, H. Jerry Qi, Kun Zhou
Summary: Liquid crystal elastomers (LCEs) are highly versatile materials with reversible and anisotropic shape change, making them promising for various applications. 4D printing of LCEs allows for simultaneous control of mesogen alignment and 3D geometry, leading to the fabrication of objects with desirable stimuli-responsive properties. This review summarizes the recent advances in 4D printing of LCEs, focusing on mechanisms and potential applications.
ADVANCED MATERIALS
(2023)
Article
Mechanics
Weidong Li, Nhon Nguyen-Thanh, Hejun Du, Kun Zhou
Summary: An adaptive phase-field modeling approach is developed for the dynamic brittle fracture of composite materials subjected to impact loading. This approach is capable of capturing the dynamic fracture patterns in composite materials including matrix cracking, delamination between adjacent plies, and interaction between the two failure modes via the exploitation of interface and crack phase fields. The driving force for the crack evolution is derived by introducing the contributions of the longitudinal and transverse damage considering the tension-compression asymmetry. Moreover, an anisotropic crack surface density function is introduced by considering the material anisotropy induced by fibers. The computational efficiency of the dynamic fracture modeling is improved via the adaptive mesh refinement strategy within the framework of the isogeometric-meshfree approach. The Newmark implicit integration scheme is used for the temporal discretization of the phase-field governing equations. Finally, simulations of both mode-I and mixed-mode fracture, such as the dynamic branching and the three-point bending tests, are implemented for homogeneous materials and composites, which demonstrates the reliability of the developed approach.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Yanbei Hou, Zhoumei Xu, Ran An, Han Zheng, Weizhao Hu, Kun Zhou
Summary: The use of black phosphorus (BP) nanosheets in improving the fire safety of polymers has been extensively studied. The unique phosphorus-rich construction, layered structure, and ease of surface modification contribute to the effective flame-retardant performance of BP nanosheets. However, their limitations in air and moisture stability, synthesis conditions, and scalability hinder their widespread application. This review summarizes the proposed approaches, preparation methods, surface modification techniques, improved air stability, and flame-retardant mechanisms of BP nanosheets and BP nanosheets/polymer composites. The review also discusses the fire safety of polymer nanocomposites to showcase the functions of BP nanosheets, and presents the limitations and future outlook of using BP nanosheets as flame retardants.
COMPOSITES PART B-ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Xu Wang, Peter Schiavone
Summary: We study the neutrality of a double coated circular inhomogeneity embedded in an infinite matrix under uniform in-plane stresses. The introduction of the double coated circular inhomogeneity does not alter the original uniform in-plane stress distribution in the matrix. As a result, we obtain exact representations of the effective transverse shear modulus and effective transverse Poisson's ratio for double coated disk assemblages of various sizes, completely replacing the matrix.
JOURNAL OF ELASTICITY
(2023)
Article
Materials Science, Multidisciplinary
Xu Wang, Peter Schiavone
Summary: In this study, the problem of a nonlinearly coupled thermoelectric circular inhomogeneity with interface slip and diffusion embedded in an infinite nonlinearly coupled thermoelectric matrix subjected to uniform remote electric current density and uniform remote energy flux is examined. A closed-form solution to the time-dependent thermoelastic problem is derived using complex variable techniques. It is observed that the electrically and thermally induced stresses and displacements evolve with three relaxation times, with two attributed to the applied electric current density and one induced by the applied energy flux. The nonuniformity of the internal stress field inside the circular inhomogeneity remains as time approaches infinity. The proposed solution method is then adapted to study the case of a thermoelectric circular inhomogeneity with spring-type imperfect interface.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Xu Wang, Peter Schiavone
Summary: This study examines the stress state inside an elliptical elastic inhomogeneity bonded to an infinite matrix through an intermediate confocal interphase layer. It is found that a simple condition ensures uniformity in the internal stress state, though it is generally nonhydrostatic. The study provides insight into the stress distribution, particularly the uniform mean stress within the interphase layer.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2023)
Article
Thermodynamics
Xu Wang, Peter Schiavone
Summary: In this study, complex variable methods are used to investigate the two-dimensional thermoelectric and thermoelastic problems. These problems are associated with a nonlinearly coupled thermoelectric parabolic inhomogeneity embedded in an infinite nonlinearly coupled thermoelectric matrix. The parabolic inhomogeneity is subjected to uniform remote electric current density and uniform remote energy flux. Exact closed-form solutions to the problems are derived primarily with the aid of an identity established on the parabolic interface. Our analysis reveals that the electrically and thermally induced stresses exhibit quadratic distributions inside the parabolic inhomogeneity.
JOURNAL OF THERMAL STRESSES
(2023)
Article
Chemistry, Multidisciplinary
Xiaojiang Liu, Boyuan Li, Zhongze Gu, Kun Zhou
Summary: This work achieves linear, wide-angle, and even ultra-wide-angle liquid transport by 4D printing of butterfly scale-inspired re-entrant structures. These structures enable unidirectional liquid transport and the transport angle can be adjusted by controlling the layout and Laplace pressure. Ultra-wide-angle transport is validated in both 2D and 3D space.
Article
Physics, Applied
Jinqiang Wang, Ruichen Wang, Zixiao Zhu, Kun Zhou, Dong Wang
Summary: This study presents the design of untethered soft robots with programmable motions and multifunctionalities using kirigami metamaterials and hard-magnetic actuation.
APPLIED PHYSICS REVIEWS
(2023)
Review
Materials Science, Multidisciplinary
Weiming Ji, Runhua Zhou, Priyanka Vivegananthan, Mao See Wu, Huajian Gao, Kun Zhou
Summary: This review critically evaluates the latest research on gradient-structured metals and alloys, summarizing their fabrication techniques, strengthening mechanisms, mechanical properties, and discussing potential applications and prospects.
PROGRESS IN MATERIALS SCIENCE
(2023)
Article
Mathematics, Interdisciplinary Applications
Weidong Li, Nguyen-Thanh Nhon, Qi Zhang, Hejun Du, Shaofan Li, Kun Zhou
Summary: A multigrid coupling approach of the extended isogeometric-meshfree method and bond-based peridynamics is developed for static and dynamic fracture problems. The approach divides the problem domain into two subdomains and connects them with interface meshes to capture fracture patterns.
COMPUTATIONAL MECHANICS
(2023)
Article
Nanoscience & Nanotechnology
Huijun Li, Kun Zhou
Summary: By synthesizing the GL-organohydrogel, the limitations of traditional hydrogels in low temperature and humidity environments can be overcome, giving it antifreezing and longterm stability properties. This organohydrogel also possesses good stretchability and conductivity, making it suitable for wearable devices in flexible electronics.
ACS APPLIED MATERIALS & INTERFACES
(2023)
Article
Automation & Control Systems
Connor D. Armstrong, Liang Yue, Frederic Demoly, Kun Zhou, H. Jerry Qi
Summary: A versatile and reconfigurable direct ink writing (DIW) manufacturing method has been developed to fabricate high-strength, self-supporting parts in unconventional printing spaces. By combining a photopolymer and a tough epoxy resin, this two-stage hybrid DIW ink enables layer-by-layer printing of complex structures and fabrication of large volume structures on diverse substrates. The method demonstrates the capability to print complex structures in inverted and horizontal environments, with the potential for applications such as enhancing functionality, repair, and structure health monitoring by appending new parts to existing structures.
ADVANCED INTELLIGENT SYSTEMS
(2023)
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)
