An effective approach for the dynamic investigation of multiple interfacial cracks that emanate from circular holes in two bonded semi-infinite functionally graded piezoelectric materials (FGPM) has been devised. The interfacial cracks are considered to be permeable and are under the influence of steady-state SH waves. The boundary conditions are solved by utilizing the Green's function approach. The

This paper proposes three operator learning models based on the boundary integral equations method, which can solve linear elliptic partial differential equations on arbitrary 2D domains. The models presented in this paper do not require retraining when solving partial differential equations defined on new 2D geometric domains after initial training. By introducing boundary parameter equations, we

Wheeled mobile robots are essential mechatronic systems that have attracted attention in different applications in industry and for research. One essential task commanded to a wheeled mobile robot is following a desired reference signal. However, in practical situations, wheeled mobile robots are always affected by disturbances diminishing the closed-loop performance. Hence, this manuscript develops

This paper investigates the spatial steady-state responses of a system comprising a layered half-space coupled with surface oscillators to harmonic loading and the related factors through a semi–analytical framework. The proposed scheme utilizes the multiple scattering technique to reformulate the response field into associated parts described by Green's functions. The verified scheme, incorporating

We propose a new weighted average estimator for high-dimensional parameters under the distributed learning system, where the weight assigned to each coordinate across different agents is precisely proportional to the inverse of the variance of the local estimates for that agent. This strategy, on the one hand, enables the new estimator to achieve a minimal mean squared error, consistent with the current

The initial phases of milk coagulation for cheese manufacturing can be tracked by an integro-differential equation known as a population balance equation. In this article, a new analytical approach using multistage Bernstein polynomials is presented to solve a rennet-induced coagulation equation for the first time. The existence of the solution and convergence analysis of the proposed approach are

Thermo-electromechanical constitutive modeling and transient impact response of the piezoelectric structure are particularly important for the regulation/controlling of the vibration, energy harvesting and thermal/stress management with the extensive applications of the ultrafast laser technology in the micro-machining/processing of the piezoelectric devices. Nevertheless, the inherent spatial/temporal

This study investigates the mechanical behavior of a circular hole embedded in an infinite thermoelectric matrix subjected to uniform far-field current and energy flux. A weakly-conductivity surface model is employed to explore the impact of surface phonon scattering, while the complete Gurtin-Murdoch (G-M) surface model is simultaneously utilized to describe the effects of surface tension and surface

Microfluidic chips present considerable potential in biomedical analysis and high-throughput cell separation, owing to their efficient and precise microscale flow control capabilities. In microscale channels, the highly nonlinear mechanics of vortex mixing and flow pattern evolution pose challenges to solid-liquid mass transfer modeling and particle cluster control. To address the above challenge,

In this work, we propose a geometric framework for analyzing mechanical manipulation, for instance, by a robotic agent. Under the assumption of conservative forces and quasi-static manipulation, we use energy methods to derive a metric. In the first part of the paper, we review how quasi-static mechanical manipulation tasks can be naturally described via the so-called force-space, i.e. the cotangent

Traditional subspace clustering methods convert each sample into a vector, which destroys the original spatial structure of the data and affects the clustering results. Therefore, we propose a novel submodule clustering method, NTSCLG, which twists each sample matrix and stacks them into a tensor, greatly preserving the intrinsic structure of the data. NTSCLG utilizes the t-product operator to generalize

We develop a continuum percolation procedure for the aggregation of the elliptic fillers in the 2 and 3-dimensional media. Given random distributions for the locus and rotations of the elements with a specified original density p, each medium achieves chains of elements through overlapping to achieve a connection density of ρ. In this regard, typically 3D aggregation is more efficient than 2D due to

This paper investigates the fixed-time fault-tolerant formation-containment control problem for unmanned helicopters (UHs) with collision and obstacle avoidance. Firstly, a high-order fully actuated system model of the UH with actuator faults is developed, which includes position and attitude subsystems. Secondly, based on the null space method, the tasks performed by multiple UHs are decomposed into

Generalized Hammerstein models are defined as a type of Hammerstein models with a specific structure, consisting of a static nonlinear submodel connected with multiple switching dynamic linear submodels. They offer a separate structured representation for the overall static gains and changing dynamic characteristics of nonlinear systems, facilitating nonlinear inverse compensation and robust controller

Three simplified models for the analytic determination of the dynamic response of a cross-anisotropic poroelastic half-plane to a load moving with constant speed on its surface are presented and compared against the corresponding exact model. The method of analysis of the exact and approximate models uses complex Fourier series to expand the load and the displacement responses along the horizontal

The Artificial Satellite Search Algorithm (ASSA), a novel physics-based metaheuristic algorithm designed to emulate the dynamic motion of satellites within a search space, is introduced in this study. The ASSA uses satellites as candidate solutions, which dynamically update their positions to navigate toward the optimal solution. The algorithm simulates satellite behavior using medium Earth orbit and

This paper presents a nonlinear vibration response analysis model for magnetorheological elastomer grid composite sandwich plates (MREGCSP), taking into account the nonlinear effects of magnetic field strength variations on the composite structure. The model is established base on the Jones-Nelson nonlinear theory, iterative computational methods, and the Wilson-θ method. Additionally, a nonlinear

Hard-magnetic soft actuators (HMSAs) has gained prominence for its application in magnetically steerable soft robots, such as robotic grippers. Compared to straight HMS beam, the magneto-mechanical response of continuous and discontinuous curved multilayered HMSA under external magnetic fields is more complex. Based on the finite deformation theory and nonlinear theory of hard magnetoelasticity, this

Assembly accuracy generally determines the work performance of a precise mechanical product, and how to accurately predict it is highly concerned. However, previous methods cannot mostly consider the coupling effect of non-ideal surface morphology and part deformation, which are inevitably introduced during manufacturing and assembly processes. Therefore, this paper develops a novel assembly accuracy

This paper proposes a varying coefficient Susceptible-Exposed-Infected-Removed (vSEIR) model to dynamically simulate the early mpox epidemic. We incorporate a time-varying infection rate and smallpox vaccination protection to capture real-time changes in transmission influenced by non-pharmaceutical interventions, setting our work apart from studies relying on fixed rates. To this end, we apply the

The thermal-mechanical bending process is a promising forming method for high-strength hollow tubular structures, enabling the forming limit's extension, particularly for difficult-to-bend metal tubes such as TA18 tubes. However, this forming process complicates the springback characteristics due to the thermal-mechanical coupling effect under multi-die heating and constraint strategies. To further

Flexural-gravity waves generated by a time-periodic and moving external load on a floating flexible plate are studied. The floating flexible plate, similar to an ice sheet, is modelled using the Kelvin-Voigt model. The external load is represented as a localised pressure load. A complex dispersion relation involving the plate viscosity and in-plane compressive force is derived and analysed to obtain

With the development of vehicle-to-everything technologies, both RVs and CAVs coexist on urban road networks in the foreseeable future. In the mixed driving traffic flow scenario, although the mixed vehicles can obtain the same route information, the systems by which they obtain and process this information are independent. To improve the operation efficiency of urban road networks, this study proposes

In the paper, we propose a generalized mathematical electro-mechanical-yielding-zone model to address the presence of a mode-III, non-centric semi-permeable crack in an arbitrary polarized long and narrow piezoelectric (PE) strip. The electro-mechanical-yielding zone model is generalized by exploring three different scenarios on the rims of mechanical-yielding zone: Linear, quadratic and cubic interpolating

This work introduces a numerical framework for addressing Fluid-Structure Interaction problems involving thin structures subject to finite strain deformations. The proposed approach utilizes an embedded mesh method to establish a coupling interface between the fluid and structural domains. The novelty of the work is the incorporation of a recently developed locking-free stabilized formulation of solid-shell

Traditional numerical methods, such as finite element analysis, have been extensively used to solve lithiation-induced stress, while they are costly and computationally intensive in solving high-dimensional nonlinear problems. In this work, we combine an alternating iterative method with a deep energy method to study a nonlinear coupling problem associated with the deformation of electrode materials

This paper reviews efforts to characterise the hardness of optimisation problem instances, and to develop improved methodologies for empirical testing of the strengths and weaknesses of algorithms, based on comprehensive and unbiased sets of test instances whose hardness can be understood. Using the Travelling Salesperson Problem (TSP) as an illustrative example throughout the paper, efforts during

In this paper, a numerical method named as variational differential quadrature-finite element method (VDQ-FEM) is proposed to study the dynamic response of hyperelastic structures with finite deformation in the context of 2D micromorphic theory. Continuum micromorphic hyperelasticity relations are first written in a novel vector-matrix form, which are then discretized using the method of VDQ-FEM. In

High water pressure is a common condition during the construction and operation of deeply buried tunnels, which is a significant factor in the stability analysis of underground structures. In this study, the complex variable theory is extended to analytically solve the hydro-mechanical coupled problems for tunnelling problems, which is the first time that fully considers the seepage field influence

Oxidation can have a major effect on the crack growth behavior of components working at high temperatures. However, phase-field (PF) fracture models considering oxidation are lacking. This study proposes a PF framework specifically designed for oxygen-assisted cracking. The model builds on the dynamic embrittlement behavior caused by oxygen, and an oxygen-related fracture-toughness degradation function

A semi-analytical dosimetry model for steady flow and mass transfer in cylindrical tubes is developed for reactive gas transport and uptake in proximal airways of the lung during quasi-steady inspiratory flow. The model is used to predict the longitudinal concentration distribution of inhaled ozone along selected airway pathways in the lung of a two-month-old rhesus monkey. Two ideal airway structures

This work presents an adjoint-based strategy to solve non-linear inverse problems discretized with high-order numerical methods. The inverse problem is defined here based on the optimization of a control parameter to minimize a cost-functional subject to the compressible RANS equations discretized with the modal discontinuous Galerkin (DG) method. The distributed control parameter is searched in the

Accurate remaining useful life prediction is crucial for prognostics and health management of products. Model uncertainty is an important factor negatively affecting prediction performance. Existing methods fail to evaluate the predictive ability of a degradation model without the actual remaining useful life, and typically require adequate degradation data or prior information. They may be unable

Multi-physical steady-state field coupled problems are addressed using mesh-based methods, including finite element and finite volume methods, along with their enhancements. To streamline computational complexity, this paper employs a least squares support vector machine (LS-SVM) for tackling the multi-physical steady-state field coupled problems. First, LS-SVM lowers computational complexity by eliminating

The present study introduces a novel framework for analyzing shear wave propagation in piezoelectric microbeam-dielectric elastic composite plates, emphasizing the temperature-dependent graded factors that influence key material properties. Unlike previous works, which often assume constant material coefficients, this model considers quadratic variations of elastic, piezoelectric, and dielectric coefficients

Model free adaptive control has become an excellent method for complex processes with no model information available. However, the increasing scale of production in modern industries makes it difficult to model and control these processes. Therefore, a novel latent model-free adaptive control is proposed to deal with the high-dimension and collinearity problem of process variables in real-world industries

This paper derives a piecewise linear interpolation representation of grey relational analysis from its algebraic form, laying the mathematical foundation in the metric space of continuous functions. By introducing cubic spline interpolation, a novel functional-type model is proposed, and its geometric invariant properties are thoroughly analyzed. Furthermore, physics-informed high-order and high-dimensional

Existing acoustic topology optimization methods integrate the traditional finite element method-boundary element method (FEM-BEM) to optimize the layout of piezoelectric structure in free space, thereby improving the performance of active structural acoustic control (ASAC). Unfortunately, the inability of the traditional finite element method-boundary element method to deal with the reflected sound

Tunnel Boring Machine (TBM) tunneling generates construction loads accompanied by unloading effect, forming additional stress field. In the previous analytical study based on classic Mindlin theory, only the additional normal stress is considered, and the additional shear stress is generally ignored. In particular, the additional stress caused by the construction loads and unloading effect of the double

To study the fracture of a water-bearing rock, according to the characteristics of contact between the water and a rock crack, the influential mechanism of water on the rock crack is analyzed according to two different zones (crack zone and matrix zone) of the rock. Based on the influential mechanism of water on rock cracks and by using the complex function method, the expression of the stress intensity

Due to high loads, low relative speeds, and poor lubrication conditions, the contact between the piston pin and pin hole is prone to reliability issues. Optimizing the pin hole profile during the design phase is crucial for enhancing stress distribution and lubrication. However, three-dimensional models are computationally intensive, posing challenges for rapid computation and shortened product development

Adverse conditions induce surface cracks in fluid-filled thin cylindrical shells, thereby diminishing their mechanical properties and load-bearing capacity. However, due to the discontinuity in vibration characteristics near the cracks and the strong coupling during the transport process, the free vibration response solution and state recognition oriented to the fluid-filled thin cylindrical shell

Screw-type pumping is one of the earliest types of pumping that have been explored. It has been later developed for various types of applications, including water, oil, cement, energy generation/recovery, labyrinth seals etc. Due to the screw shape, the flow is intrinsically three-dimensional, which makes it computationally expensive for the simulation. Adding to that, since the efficiency of the screw-type

The grey wolf optimizer is a renowned algorithm within the realm of swarm intelligence. However, it is hindered by a few drawbacks such as slow convergence rate, limited population diversity, and a propensity to fall into local optima in certain scenarios. In this study, we introduce a groundbreaking hybrid algorithm called Hybrid chaos game and grey wolf optimization, which ingeniously fuses the grey

In this work, we deal with a mathematical model describing the dissolution process of irregularly shaped particles. In particular, we consider a complete dissolution model accounting for surface kinetics, convective diffusion, and relative velocity between fluid and dissolving particles, for three drugs with different solubility and wettability: theophylline, griseofulvin, and nimesulide. The possible

For the first time, the present investigation comprehensively examines the effect of elliptical crack parameters and positions in individual or system layers on stress distributions, bifurcation buckling points, and bending under different loads of beam-like aerospace structural members. It also constitutes an effort to develop a model of graphene nanoplatelets reinforced multilayer composite beams

A Bayesian model updating approach is proposed where an active Kriging-based metamodel efficiently approximates the expensive-to-evaluate posterior probability density. Unlike the usual Kriging-based model updating approach, the present study competently approximates the modal responses of different natures and dimensions. In detail, an active learning function is proposed where the computationally

The multi-material topology optimization design is a significant area of research, especially when considering geometric nonlinearity. Traditional topology optimization methods are primarily developed based on linear problems and often face the issue where the number of design variables increases proportionally with the number of candidate materials. Additionally, the interphases obtained using stair-step

In this paper, the performance of the proposed improved boundary knot method and the method of fundamental solutions in solving Helmholtz-type equations within multi-connected domains is investigated. The method of fundamental solutions typically requires multiple layers of source points, resulting in a tedious and time-consuming process of optimizing their distribution. Although the traditional boundary

The 2018–2020 Ebola virus disease (EVD) outbreak in the Democratic Republic of Congo (DR Congo) was the second-largest in history, mainly because of security challenges and community mistrust. This study evaluates the impact of geographically targeted vaccinations (GTVs) as a complementary strategy when traditional measures—contact tracing, ring vaccinations, and antiviral treatments—are insufficient

Cardiovascular disease has become a major cause of global mortality. Clinically, quantitative assessment of cardiac MR image is usually used to determine the type and severity of cardiovascular disease, in which segmentation of cardiac MR image is a fundamental but important step. However, due to the inhomogeneity and special anatomical structures, accurate segmentation of cardiac MR images is still

In this paper, we introduce an efficient surrogate loss method for large-scale expectile regression in non-randomly distributed scenarios. Specifically, a Poisson subsampling-based distributed asymmetric least squares estimator is proposed. Our theoretical analysis establishes the consistency and asymptotic normality as the dimensionality tends to infinity, demonstrating that the proposed estimator

Activity-driven networks have become a key paradigm for studying the time evolution of stochastic networked systems. Consider the fact that individuals in activity-driven networks have some degree of memory, and they assess the credibility of current information based on their prior knowledge. In addition, the number of potential participants in rumor propagation dynamically changes, and the actual

Localization of damage using modal parameter changes has been the focus of research in many recent studies. Efforts have also been made to establish an analytical correlation between changes in modal response from the healthy state and the eventual reduction in stiffness. Prevailing methodologies predominantly integrate baseline responses to attain these objectives. However, non-availability of pre-recorded

Sediment-laden flow is a common phenomenon in nature and the deposition of sediments can make a great difference in landscape formation or marine systems. The complexity of this issue can be further increased with temporal variations in the free surface elevation. This paper aims to present a two-phase flow model that effectively integrates the non-hydrostatic free surface model with the Lagrangian

Beams resting on elastic foundation are widely employed as smart nanostructures, which commonly consists of intelligent materials to offer multifunctional capabilities. Molecular interactions, in these cases, are incorporated into the mechanics of nanostructures through the Nonlocal (NL) and Strain Gradient (SG) continuum model. Surface elasticity theory integrates the influence of surface molecules

Sediment transport in shallow waters occurs when the water flows over the bed for which the amount of generated sediments can be determined from the transport mechanism caused by the consequent flow. Recently, investigating the bedload and sediment transport using numerical models has been rapidly increased and various techniques have been developed to quantify both the hydrodynamics and morphodynamics

In this study, a topology optimization method for coupled thermomechanical problems is proposed by incorporating approximated thermal radiation boundary conditions that depend on design variables. The challenge of designing mechanical structures influenced by thermal radiation is briefly discussed. Partial Differential Equations are introduced to represent the geometric features influenced by thermal

This study presents a semi-analytical method to investigate the nonlinear dynamic responses of a geometrically imperfect multi-direction functionally graded graphene platelets reinforced composite plate with magneto-electro-elastic coupling (MDFG GPLRC-MEE) under blast loads. The mechanical properties of the plate structure are tailored by adjusting the spatial distribution of graphene platelets (GPL)