Applied Mathematical Modelling

Papers
(The median citation count of Applied Mathematical Modelling is 6. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains154
Editorial Board129
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces126
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading120
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system114
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress111
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study106
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect93
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence92
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method92
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach85
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows81
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures81
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams75
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses74
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework71
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents71
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method68
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation68
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method68
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting67
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis66
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information65
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method65
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces65
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore64
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections64
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance62
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions61
Galloping analysis of the main cable in construction: An advanced nonlinear scheme60
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity58
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems58
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements57
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount56
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission56
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals54
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method54
Guided regularization and its application for image restoration53
Quantum computing intelligence algorithm for structural topology optimization52
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures52
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms51
A novel fuzzy algorithm for assembly precision management51
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata50
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing50
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft50
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road49
Variance of belief information49
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach49
Semiparametric model averaging prediction for case K informatively interval-censored data48
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter48
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study47
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data47
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters47
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading47
Editorial Board46
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model46
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain45
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams45
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model44
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures44
Modelling nutrient deposition from intensive agricultural practices43
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads43
Robust control of rubber–tyred gantry cranes with structural elasticity43
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability43
Piecewise smooth systems with a pseudo-focus: A normal form approach43
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach43
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate42
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws42
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever42
Efficiency improvement on the ANCF cable element by using the dot product form of curvature42
A semi-analytical method for frictional contact analysis between rock mass and concrete linings42
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand42
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus41
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks41
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise41
Editorial Board40
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]39
Inerter array and its perfect decoupling39
EOQ with supply disruptions under different advance information regimes39
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile39
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model38
Topology optimization of thin-walled structures with directional straight stiffeners38
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy38
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system38
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation38
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems38
A size-structured model describing flocculation of unicellular algae37
Unified modeling for clay and sand with a hybrid-driven fabric evolution law37
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation37
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports37
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint37
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification37
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity36
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility36
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates36
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface36
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave36
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption36
Optimization models for scheduling operations in robotic mobile fulfillment systems35
A new inventory routing problem with route and schedule unpredictability35
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing35
An alternative minimization method for TV-image deblurring in tensor space35
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows35
Policy design of government subsidy for end-of-life solar panel recycling35
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media34
Metaheuristic schemes and machine learning techniques: A synergistic perspective34
From nonlinear micromorphic to nonlinear micropolar shell theory34
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids34
Mesoscale modelling of polymer powder densification due to thermal sintering34
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load34
Multivariate threshold integer-valued autoregressive processes with explanatory variables34
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities34
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach34
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations34
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring33
An evolutionary model propounding Anopheles double resistance against insecticides33
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling33
Global dynamics of a periodic brucellosis model with time delay and environmental factors33
A novel lever-type elastic metamaterial model for low-frequency wave attenuation33
Topology design optimization of nanophotonic devices for energy concentration33
Dynamic response of a floating flexible plate to a localised time-periodic and moving load33
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam33
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study33
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory33
Editorial Board32
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising32
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method32
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm32
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects32
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating32
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory32
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach32
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing32
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components31
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm31
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation31
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints31
An analytical model for thermoelastic damping in laminated microring resonators31
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata31
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme31
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations31
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures30
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals30
Optimizing HIV Antiretroviral Therapy Strategies: A Multi-Scale, Multi-Objective Framework for Reconciling Individual–Population Trade-offs30
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models30
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow30
Vectorial surrogate modeling method for multi-objective reliability design30
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method30
A novel model for evaluating preload based on spectral problem in system with double-bolted connections30
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects30
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations29
Stochastic mesoscale characterization of ablative materials for atmospheric entry29
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification29
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion29
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems29
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation29
Well conditioned mathematical modeling for homogenization of thermo-electro-mechanical behaviors of piezoelectric composites29
Adaptive weighted approach for high-dimensional statistical learning and inference29
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers29
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces28
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation28
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints28
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models28
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles28
Static Bayesian finite element model updating driven by prior information with element displacement residual equation28
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application28
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory28
Dynamic response of three-dimensional curved floating slab track under harmonic loads28
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials28
Hybrid interval model for uncertainty analysis of imprecise or conflicting information28
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models28
Multi-response robust parameter design based on Bayesian mixed effects model27
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics27
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train27
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects27
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation27
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions27
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC27
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions27
Three link flexible arm robust regulation via proportional retarded control scheme27
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling27
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester27
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator27
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach26
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process26
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force26
Flutter in functionally graded conical shell under follower force26
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects26
Surface penalization of self-interpenetration in linear and nonlinear elasticity26
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque26
Editorial Board26
Whiteness-based parameter selection for Poisson data in variational image processing26
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation26
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates26
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model26
Editorial Board26
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils25
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints25
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction25
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain25
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock25
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks25
Time-optimal control strategies for tungiasis diseases with limited resources25
Topology- and convexity-preserving image segmentation based on image registration25
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage25
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects25
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell25
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)25
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures25
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue25
Cooperative optimal train operation algorithm for utilizing regenerative braking energy24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions24
A subspace-based identification method for vibrating structures with clearance-type nonlinearities24
A safety-factor assisted non-probabilistic reliability-based topology optimization for wings with multi-source uncertainty24
Optimal resource allocation for rapid convergence to stable healthy state in epidemic spreading models24
A deposit-refund system for managing the economical circulation of returnable transport items24
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation24
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs24
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method24
Negative binomial community network vector autoregression for multivariate integer-valued time series24
Vertical dynamics analysis and multi-objective optimization of electric vehicle considering the integrated powertrain system24
Micromechanical modeling for the prediction of time-dependent effective properties and macroscopic coupled field response of polymer reinforced piezoelectric composites24
Parameter estimations of zero-inflated negative binomial model with incomplete data24
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading24
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies24
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors24
Adaptive mollified prescribed performance controller for waverider vehicle subjected to mismatched disturbances24
A finite volume penalty based segment-to-segment method for frictional contact problems24
Synchronization analysis of a four-motor excitation with torsion spring coupling vibrating system24
Nonlinear isogeometric analysis of magneto-electro-elastic porous nanoplates23
Hyperreduced-order modeling of thermally coupled flows23
The s-version finite element method for non-linear material problems23
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach23
Subset simulation for probabilistic computer models23
Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification23
A theoretical model for a low-frequency two-stage hybrid vibration isolator with a nonlinear energy sink and a negative stiffness spring23
Wind driven plantigrade machine capable of moving against the flow23
Boundary element method with high order impedance boundary condition for Maxwell’s equations23
Statistical analysis of the non-stationary binomial AR(1) model with change point23
Data driven modelling approach for design assessment of spacecraft equipment23
Polarized elastic topological states in hexagonal lattices23
A new theoretical model of magnetic interactions between spherical paramagnetic particles in magnetorheological fluids23
Switched Epidemic Models: A Contact Rate Dependent Analysis23
An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential23
Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter23
Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates23
Dynamic modeling and verification of rotating compressor blade with crack based on beam element23
Modeling of CNT alignment state on the strain sensing characteristics of MWCNT-based nanocomposites23
Langevin dynamic simulations of two- and three-dimensional polymer-particle flocculation for the development of behavioural modification techniques23
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