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 2021-12-01 to 2025-12-01.)
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]160
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains136
Editorial Board130
Influences of crack-face electric boundary conditions on stress intensity factors of ferroelectric single crystals122
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces114
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect112
Modeling a turbulent multicomponent fluid with variable density using a two-fluid approach110
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method99
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study96
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses86
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method82
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission81
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections76
Galloping analysis of the main cable in construction: An advanced nonlinear scheme71
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions71
An algorithm for finding optimal sensor placement and model uncertainty in data assimilation applied to Riemann problems69
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence68
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation68
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount68
Quantum computing intelligence algorithm for structural topology optimization68
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents68
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road67
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata67
A novel fuzzy algorithm for assembly precision management66
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework65
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows64
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing62
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method61
Guided regularization and its application for image restoration60
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms59
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information59
Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft58
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces57
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures57
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system55
Variance of belief information55
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach54
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting54
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures52
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams52
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading51
Nonlinear seismic amplification of 3D shallow sedimentary basin incorporating source-to-site effects: A full-process modeling approach51
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress51
Benchmark analytical in-plane vibration solution for fully clamped quasicrystal plates based on the symplectic superposition method51
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method51
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore51
Bending of hyperelastic beams made of transversely isotropic material in finite elasticity50
Characteristic analyzes, experimental testing and control for attitude system of QUAV under disturbance49
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method49
A novel particle filtering for nonlinear systems with multi-step randomly delayed measurements49
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis49
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter48
Semiparametric model averaging prediction for case K informatively interval-censored data48
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data48
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters47
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures46
Modelling temperature-dependent dynamics of single and mixed infections in a plant virus46
Editorial Board46
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model46
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability45
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy45
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain45
Sensitivity-based model updating with parameter rejection45
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile45
Modelling nutrient deposition from intensive agricultural practices44
Editorial Board43
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]43
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws43
A new adaptive identification framework for nonlinear multi-input multi-output systems under colored noise43
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks43
EOQ with supply disruptions under different advance information regimes43
Topology optimization of thin-walled structures with directional straight stiffeners42
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading41
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study41
Unified modeling for clay and sand with a hybrid-driven fabric evolution law41
A semi-analytical method for frictional contact analysis between rock mass and concrete linings41
Robust control of rubber–tyred gantry cranes with structural elasticity41
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports40
Piecewise smooth systems with a pseudo-focus: A normal form approach39
Optimization models for scheduling operations in robotic mobile fulfillment systems39
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates39
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint39
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification39
A size-structured model describing flocculation of unicellular algae39
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand39
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach38
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model38
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever38
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility38
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams38
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface38
Inerter array and its perfect decoupling37
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity37
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave37
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate37
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows37
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation36
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems36
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system36
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption36
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation36
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model36
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads36
Efficiency improvement on the ANCF cable element by using the dot product form of curvature36
Inverse design of hydroacoustic absorbing metastructures via incorporating multi-material topology optimization into semi-analytical method35
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory35
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing35
A new inventory routing problem with route and schedule unpredictability35
A novel lever-type elastic metamaterial model for low-frequency wave attenuation35
Policy design of government subsidy for end-of-life solar panel recycling35
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities35
Topology design optimization of nanophotonic devices for energy concentration35
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating34
Metaheuristic schemes and machine learning techniques: A synergistic perspective34
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme34
Mesoscale modelling of polymer powder densification due to thermal sintering34
Editorial Board34
An evolutionary model propounding Anopheles double resistance against insecticides34
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations34
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals34
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring34
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach34
An analytical model for thermoelastic damping in laminated microring resonators34
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects33
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam33
Global dynamics of a periodic brucellosis model with time delay and environmental factors33
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow33
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling33
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing33
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load33
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects32
Vectorial surrogate modeling method for multi-objective reliability design32
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata32
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm32
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids32
A Recursive Solution Algorithm for Static Friction Problems in Multibody System Dynamics31
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm31
Multivariate threshold integer-valued autoregressive processes with explanatory variables31
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems31
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion31
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory31
A novel model for evaluating preload based on spectral problem in system with double-bolted connections31
Level-set-based topology optimization method for conjugate heat transfer structure design based on mixing length turbulence model31
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models31
Dynamic response of a floating flexible plate to a localised time-periodic and moving load31
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations31
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising30
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method30
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints30
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components30
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations30
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures30
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach30
An alternative minimization method for TV-image deblurring in tensor space30
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers29
Fix-and-optimize approach for a healthcare facility location/network design problem considering equity and accessibility: A case study29
From nonlinear micromorphic to nonlinear micropolar shell theory29
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification29
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method29
A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media29
Stochastic mesoscale characterization of ablative materials for atmospheric entry29
A new statistical inference method for multi-stress accelerated life testing based on random variable transformation29
A numerical study of particle-laden flow around an obstacle: flow evolution and Stokes number effects28
Spherical indentation over multilayered gels28
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks28
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates28
Time-optimal control strategies for tungiasis diseases with limited resources28
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs28
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation28
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method28
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading28
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors28
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies28
Three link flexible arm robust regulation via proportional retarded control scheme27
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures27
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models27
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque27
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects27
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue27
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation27
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation27
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints27
Dynamic response of three-dimensional curved floating slab track under harmonic loads27
Multi-response robust parameter design based on Bayesian mixed effects model27
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process26
Editorial Board26
Flutter in functionally graded conical shell under follower force26
Adaptive weighted approach for high-dimensional statistical learning and inference26
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces26
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials26
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model26
Editorial Board26
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC26
Whiteness-based parameter selection for Poisson data in variational image processing26
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator26
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling26
Static Bayesian finite element model updating driven by prior information with element displacement residual equation26
Surface penalization of self-interpenetration in linear and nonlinear elasticity26
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach26
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions26
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils26
A deposit-refund system for managing the economical circulation of returnable transport items26
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models26
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester25
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory25
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain25
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects25
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints25
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation25
Cooperative optimal train operation algorithm for utilizing regenerative braking energy25
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application25
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation25
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage25
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)25
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force25
Topology- and convexity-preserving image segmentation based on image registration24
Hybrid interval model for uncertainty analysis of imprecise or conflicting information24
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction24
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock24
MCMC‐driven importance samplers24
Novel algorithm for flexible multibody systems with hybrid uncertainties24
Optimal resource allocation for rapid convergence to stable healthy state in epidemic spreading models24
Impact of interfacial imperfections on the Reflection and Transmission phenomenon of plane waves in a Porous-Piezoelectric model24
Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics24
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles24
Boundary element method with high order impedance boundary condition for Maxwell’s equations24
Data driven modelling approach for design assessment of spacecraft equipment24
Dynamic modeling and nonlinear analysis for lateral–torsional coupling vibration in an unbalanced rotor system24
Micromechanical modeling for the prediction of time-dependent effective properties and macroscopic coupled field response of polymer reinforced piezoelectric composites24
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell24
Analytical approach to the stepped multi-span rotor-bearing system with isotropic elastic boundary conditions24
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train24
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions24
Vertical dynamics analysis and multi-objective optimization of electric vehicle considering the integrated powertrain system24
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach24
Robust goal programming approach for healthcare network management for perishable products under disruption24
A finite volume penalty based segment-to-segment method for frictional contact problems24
Transfer matrix method for analyzing dynamic response of multi-span elastically supported SFT under moving load23
Wind driven plantigrade machine capable of moving against the flow23
Uncertainties consideration in elastically heterogeneous fluid-saturated media using first-order second moment stochastic method and Green's function approach23
Negative binomial community network vector autoregression for multivariate integer-valued time series23
Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter23
An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials23
Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces23
Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification23
Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint23
Parameter estimations of zero-inflated negative binomial model with incomplete data23
Market proliferation and the impact of locational complexity on network restructuring23
Polarized elastic topological states in hexagonal lattices23
Performance evaluation of non-repairable cyclic phased-mission systems using evidential reasoning rule and multi-valued decision diagrams23
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