Applied Mathematical Modelling

Papers
(The TQCC of Applied Mathematical Modelling is 13. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
Retraction notice to “Syncretic K-shell algorithm for node importance identification and invulnerability evaluation of urban rail transit network” [Appl. Math. Modell. 120 (2023) 400419]164
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains145
Editorial Board132
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method125
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method114
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses114
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission113
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading103
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence97
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing91
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections83
Galloping analysis of the main cable in construction: An advanced nonlinear scheme81
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions77
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation74
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems74
Quantum computing intelligence algorithm for structural topology optimization74
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road71
Guided regularization and its application for image restoration69
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms69
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information69
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect68
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach68
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft68
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures68
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study64
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows63
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces62
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting60
A novel fuzzy algorithm for assembly precision management60
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis58
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method58
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount58
A boundary integral equation-based parametric PINN for 2D steady-state acoustic problems57
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method55
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system55
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress55
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach54
Variance of belief information53
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata53
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures53
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore52
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method52
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces52
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents51
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework51
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams51
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals50
Semiparametric model averaging prediction for case K informatively interval-censored data50
Diffusiophoresis in gradients of mixtures of colloidal and molecular-sized ions49
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter49
Editorial Board49
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data49
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model48
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability48
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy48
Sensitivity-based model updating with parameter rejection47
Modelling nutrient deposition from intensive agricultural practices47
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification46
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks46
A size-structured model describing flocculation of unicellular algae46
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws46
Editorial Board45
EOQ with supply disruptions under different advance information regimes45
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach44
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study44
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand44
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]44
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams44
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading44
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile42
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever42
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model42
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface42
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption41
A semi-analytical method for frictional contact analysis between rock mass and concrete linings41
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates41
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity41
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave41
Unified modeling for clay and sand with a hybrid-driven fabric evolution law41
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters40
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation40
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise40
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model40
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems40
Efficiency improvement on the ANCF cable element by using the dot product form of curvature40
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint39
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads39
Piecewise smooth systems with a pseudo-focus: A normal form approach39
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus39
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain39
Robust control of rubber–tyred gantry cranes with structural elasticity39
Topology optimization of thin-walled structures with directional straight stiffeners38
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports38
Optimization models for scheduling operations in robotic mobile fulfillment systems38
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate38
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system37
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility37
Inerter array and its perfect decoupling37
Modelling and analysis of laser flash experiments using the Cattaneo heat equation37
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures37
Inverse design of hydroacoustic absorbing metastructures via incorporating multi-material topology optimization into semi-analytical method36
A novel lever-type elastic metamaterial model for low-frequency wave attenuation36
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory36
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities36
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation36
Multivariate threshold integer-valued autoregressive processes with explanatory variables36
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows36
Topology design optimization of nanophotonic devices for energy concentration36
Signal priority control method for connected transit at urban road intersections considering group energy conservation36
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals36
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring35
An alternative minimization method for TV-image deblurring in tensor space35
Mesoscale modelling of polymer powder densification due to thermal sintering35
An evolutionary model propounding Anopheles double resistance against insecticides35
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids35
Metaheuristic schemes and machine learning techniques: A synergistic perspective35
Editorial Board35
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach35
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations34
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme34
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects34
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow34
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam33
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing33
A novel model for evaluating preload based on spectral problem in system with double-bolted connections33
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling33
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata33
Global dynamics of a periodic brucellosis model with time delay and environmental factors33
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm32
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations32
Policy design of government subsidy for end-of-life solar panel recycling32
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components32
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method32
Dynamic response of a floating flexible plate to a localised time-periodic and moving load32
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media32
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing32
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study32
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method32
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations32
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach32
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising32
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion32
Vectorial surrogate modeling method for multi-objective reliability design31
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints31
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects31
A new inventory routing problem with route and schedule unpredictability31
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures31
An analytical model for thermoelastic damping in laminated microring resonators30
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating30
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models30
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory30
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm30
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load30
LBM-based partitioned coupling for fast transient fluid-structure dynamics29
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification29
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures29
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers29
Stability analysis and control of a deformable vehicle for emergency obstacle avoidance during dynamic reconfiguration29
Time-optimal control strategies for tungiasis diseases with limited resources29
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects29
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems29
Spherical indentation over multilayered gels29
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks29
Three link flexible arm robust regulation via proportional retarded control scheme28
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach28
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation28
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints28
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process28
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects28
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque28
Dynamic response of three-dimensional curved floating slab track under harmonic loads28
Editorial Board28
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC28
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue28
Surface penalization of self-interpenetration in linear and nonlinear elasticity28
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction28
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions28
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials27
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling27
Whiteness-based parameter selection for Poisson data in variational image processing27
A deposit-refund system for managing the economical circulation of returnable transport items27
Cooperative optimal train operation algorithm for utilizing regenerative braking energy27
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain27
Adaptive weighted approach for high-dimensional statistical learning and inference27
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)27
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects27
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model27
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator27
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies26
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage26
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation26
A central-moment lattice Boltzmann study of bubble interaction and coalescence in shear-thinning viscoelastic fluid26
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train26
Stochastic mesoscale characterization of ablative materials for atmospheric entry26
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester26
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces26
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory26
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation26
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application26
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading26
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors26
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions26
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models26
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics26
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force26
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils26
Static Bayesian finite element model updating driven by prior information with element displacement residual equation26
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models26
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock26
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation26
Optimal resource allocation for rapid convergence to stable healthy state in epidemic spreading models25
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs25
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation25
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates25
MCMC‐driven importance samplers25
A novel and highly efficient strategy to determine the ‘Worst’ imperfection shape for buckling of cylindrical shell panels25
Micromechanical modeling for the prediction of time-dependent effective properties and macroscopic coupled field response of polymer reinforced piezoelectric composites25
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles25
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints25
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method25
Data driven modelling approach for design assessment of spacecraft equipment25
Vertical dynamics analysis and multi-objective optimization of electric vehicle considering the integrated powertrain system25
Editorial Board25
Multi-response robust parameter design based on Bayesian mixed effects model25
Hybrid interval model for uncertainty analysis of imprecise or conflicting information25
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell25
Flutter in functionally graded conical shell under follower force25
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach25
Wind driven plantigrade machine capable of moving against the flow24
Statistical analysis of the non-stationary binomial AR(1) model with change point24
An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential24
Performance evaluation of non-repairable cyclic phased-mission systems using evidential reasoning rule and multi-valued decision diagrams24
Parameter estimations of zero-inflated negative binomial model with incomplete data24
Novel algorithm for flexible multibody systems with hybrid uncertainties24
A new theoretical model of magnetic interactions between spherical paramagnetic particles in magnetorheological fluids24
Hyperreduced-order modeling of thermally coupled flows24
Market proliferation and the impact of locational complexity on network restructuring24
Polarized elastic topological states in hexagonal lattices24
Negative binomial community network vector autoregression for multivariate integer-valued time series24
An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials24
Mixed traffic capacity estimation of autonomous vehicles impact based on empirical data24
Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates24
Langevin dynamic simulations of two- and three-dimensional polymer-particle flocculation for the development of behavioural modification techniques24
The s-version finite element method for non-linear material problems24
Boundary element method with high order impedance boundary condition for Maxwell’s equations24
Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter24
Uncertainties consideration in elastically heterogeneous fluid-saturated media using first-order second moment stochastic method and Green's function approach24
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces24
Modeling of CNT alignment state on the strain sensing characteristics of MWCNT-based nanocomposites24
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system23
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