Applied Mathematical Modelling

Article	Citations
An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains	178
Editorial Board	176
Rigid wall retaining a saturated fissured poroelastic rock layer over rigid bedrock under earthquake forces	148
A three-model integrated optimization framework for natural gas pipeline capacity operationally efficient and equitable allocation	131
Adaptive asynchronous switching tracking algorithm for continuously stirred tank reactors with multiple uncertainties	125
Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements	120
Application of a high-performance grey prediction model to predict the cardiovascular disease mortality in elderly Chinese residents	118
A unified updated Lagrangian smoothed particle hydrodynamics for fluid-structure interaction problems with moving boundaries and interfaces	89
Sensitivity analysis of frequency response functions with imaginary parts decoupling based on multicomplex-step perturbation	79
Global dynamics of HIV multi-scale model with gene therapy	79
Optimal control for transboundary pollution under inter-temporal transfer of emission permits: A differential game approach	78
Aeroelasticity of membrane airfoils and flexible-chord airfoils with permeable trailing sections	78
Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions	74
Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence	73
A new active-learning function for adaptive Polynomial-Chaos Kriging probability density evolution method	72
A novel method for concurrent dynamic topology optimization of hierarchical hybrid structures	70
Analysis of bifurcation and chaotic behavior for the flexspline of an electromagnetic harmonic drive system with movable teeth transmission	69
Dynamic optimization for coordinated replenishment system considering seasonal demand and price quantity discount	69
Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures	67
Mass lumping of a dynamic compliance matrix method for use in compliant mechanisms and beam structures	63
An analytical dynamic stiffness formulation for highly accurate broadband vibro-acoustic response analysis	63
Effects of membrane polarization, steric repulsion and ion-solvent interactions on electroosmosis through a conical nanopore	62
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]	61
A novel hybrid adaptive scheme for Kriging-based reliability estimation – A comparative study	61
Thermal-mechanical analysis of a graphene-reinforced nanoplatelets composite piezoelectric plate heated by a sinusoidal thermal loading	60

Modeling and predefined-time anti-disturbance control for the aerial refueling phase of receiver aircraft	60
Nonlinear seismic amplification of 3D shallow sedimentary basin incorporating source-to-site effects: A full-process modeling approach	60
Coupling vibration analysis of hub motor driving electric vehicle and sandwich plate road	59
Efficient tracking of ocean eddies using unmanned underwater vehicles	58
Finite-time dynamic event-triggered formation control for virtual coupling in urban rail trains	58
Wave propagations and high-frequency vibrations in intrinsically mode-reconfigurable resonator by a spatial polarization tailoring	58
Love-type wave propagation in a coated fluid-saturated fractured poro-viscoelastic layer with sliding contacts and point source effect	58
Guided regularization and its application for image restoration	57
Time-varying external archive differential evolution algorithm with applications to parallel mechanisms	57
Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information	57
Numerical investigation of noise suppression and amplification in forced oscillations of single and tandem cylinders in high Reynolds number turbulent flows	56
On the nature of constitutive boundary and interface conditions in stress-driven nonlocal integral model for nanobeams	56
Analytical solution of shallow arbitrarily shaped tunnels in fractional viscoelastic transversely isotropic strata	55
The effect of mesh discretisation on damage and wear predictions using the Discrete Element Method	55
Thermodynamic analyzing the intrinsic mechanisms of intelligent responses in amorphous polymer: Mathematical modelling and application in 4D-printed material	55
An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces	55
Security mechanisms against malicious strategy attacks in the spatial snowdrift game	54
A composite optimization algorithm for Poisson tensor completions without nonnegative constraints based on the generalized Gauss–Newton method	54
Dual-function quasi-zero-stiffness dynamic vibration absorber: Low-frequency vibration mitigation and energy harvesting	53
Semi-analytical model of vehicle-pavement-continuous beam bridge coupled system	53
A spectral-fast Voronoi framework based on multivariate Karhunen–Loève expansion for simulation of two-dimensional random fields	53
Influence of temperature on the elastic properties of graphene and graphene-like nanosheets based on the asymptotic homogenization method	52
Ordinary state-based peridynamic formulation for cyclic elastoplastic responses	52
A thermodynamic constitutive model based on uncoupled physical mechanisms for polymer-based shape memory composites and its application in 4D printing	52
Variance of belief information	51
Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress	50
Dynamic response and vibration control of axially excited cantilevered piping system conveying two-phase flow	50
On the coupled thermo-hydro-mechanical behaviors of layered porous media by the transformed differential quadrature method	50
Galloping analysis of the main cable in construction: An advanced nonlinear scheme	50
A novel fuzzy algorithm for assembly precision management	49
Editorial Board	48
Quantum computing intelligence algorithm for structural topology optimization	48
Analysis of frictionless adhesive contact problem between a multi-layer FGPM coated half-plane and a rigid cylindrical insulating indenter	48
Benchmark analytical in-plane vibration solution for fully clamped quasicrystal plates based on the symplectic superposition method	48
AMSLS: Adaptive multi-scale level set method based on local entropy for image segmentation	48
Enhancing wildfire propagation model predictions using aerial swarm-based real-time wind measurements: A conceptual framework	48
EOQ with supply disruptions under different advance information regimes	47
Birth-pulse models to assess the effects of Wolbachia-carrying mosquito releases on the control of dengue fever	47
Optimization of Medical Supplies Allocation Based on the Dynamic Evolution of Public Health Emergencies	47
Mathematical modelling for seismic affected zoning of tunnel cavity section under SH wave incidence and shaking table verification	47
A nonlinear mixed-frequency grey prediction model with two-stage lag parameter optimization and its application	47
A novel modeling framework for a degrading system subject to hierarchical inspection and maintenance policy	46
Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports	46
A novel theoretical model of heterogeneous soil-pile interaction for investigating the torsionally loaded pile	46
The effect of fastener clip fatigue for high-speed railway on vehicle-track dynamic interaction: Numerical analysis and probabilistic evaluation	46
Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model	45
Elastica-plastica theory of Euler-Bernoulli beams subjected to concentrated loads	44
Topology optimization of thin-walled structures with directional straight stiffeners	44
Review of the applications of different fractional models in engineering	43
Multi-objective location-allocation optimization of temporary delivery points for medical supplies during large-scale epidemic outbreaks	43

Editorial Board	42
Modelling nutrient deposition from intensive agricultural practices	42
A size-structured model describing flocculation of unicellular algae	42
Semiparametric model averaging prediction for case K informatively interval-censored data	42
Assessing the multifaceted repercussions of chemical insecticides on vegetable yield and human population: A modeling study	42
Formulation based on combined loading function strategy to improve the description of the bi-modularity of quasi-brittle material degradation with multiple damage evolution laws	42
Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach	42
Semi-analytical study on elastic field of two joined dissimilar materials with interfacial cracks under prescribed loading	42
Coupled bandgaps and wave attenuation in periodic flexoelectric curve nanobeams	41
Mastering the art: Proficient finite element implementation and robust evaluation of a strain-hardening porous ductile material crack growth prediction model at finite strain	41
An efficient method for hybrid reliability analysis with aleatory and evidence-based epistemic uncertainties	41
Special lognormal diffusion processes with binomial random catastrophes and applications to economic data	40
Corrigendum to: “Dynamic analysis of tapered symmetrically layered beams with interlayer slip” [Appl. Math. Model. 120 (2023) 463–484]	40
Adaptive affine homogenization method for Visco-hyperelastic composites with imperfect interface	40
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures	40
Inerter array and its perfect decoupling	40
Spatiotemporal synchronous coupling algorithm for urban rail transit timetables design under dynamic passenger demand	39
Research on impact vibration of cantilever fluid-conveying pipe with foundation excitation and gap constraint	39
Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity	39
The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption	39
Unified modeling for clay and sand with a hybrid-driven fabric evolution law	39
Electromechanical modelling of l-shaped bending-torsion piezoelectric energy harvesting systems	39
Diffusiophoresis in gradients of mixtures of colloidal and molecular-sized ions	39
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave	38
Parameter influence analysis of stochastic resonance and stochastic P-bifurcation for the shape-memory alloy laminate	38
Nonlinear dynamics and thermal bidirectional coupling characteristics of a rotor-ball bearing system	38
Robust control of rubber–tyred gantry cranes with structural elasticity	38
Optimization models for scheduling operations in robotic mobile fulfillment systems	38
Piecewise smooth systems with a pseudo-focus: A normal form approach	38
Multivariable grey prediction model for hub bearing life evaluation	38
Sensitivity-based model updating with parameter rejection	38
Resource allocation for Hyphantria cunea invasive management:a novel simulation-based optimization model	38
A semi-analytical method for frictional contact analysis between rock mass and concrete linings	37
Analysis of flatness and critical crown of hot-rolled strip based on thermal–mechanical coupled residual stress analytical model	37
A multi-objective approach for designing a tire closed-loop supply chain network considering producer responsibility	37
Non-planar and nonlinear dynamics of wire-wrapped rod subjected to axial flow. Part I: static and dynamic stability	36
Mesoscale modelling of polymer powder densification due to thermal sintering	36
Complex dispersion relations and evanescent waves in periodic magneto-electro curved phononic crystal plates	36
A novel Hybrid PSO-Heuristic Algorithm with Combinatorial Benders' Cuts for maximal evacuation planning in wildfire disasters	36
Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations	35
Analytical solution for stress and displacement of a finite thickness soil layer subjected to strip footing	35
Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring	35
Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate – An asymptotic modeling approach	35
A recursive solution algorithm for static friction problems in multibody system dynamics	35
An evolutionary model propounding Anopheles double resistance against insecticides	35
Semi-analytical hybrid approach for modelling smart structures and guided wave-based SHM systems for a laminate with multiple delaminations and surface-mounted inhomogeneities	35
A novel lever-type elastic metamaterial model for low-frequency wave attenuation	34
Multi-fidelity Bayesian Quadrature for adaptive uncertainty quantification in engineering	34
An analytical model for thermoelastic damping in laminated microring resonators	34
Aeroelastic stability analysis of a pyrotechnic separation plate in subsonic airflow	34
Multi-objective topology optimization method for multi-axis random vibration based on hybrid cellular automata	34
Editorial Board	34
Dynamic response of a floating flexible plate to a localised time-periodic and moving load	34
A new inventory routing problem with route and schedule unpredictability	34
Modeling of Love-type wave propagation in a fractional poro-viscoelastic layer over a viscoelastic-to-elastic half-space, induced by a Gaussian source	34
The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals	34
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory	34
Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach	33
Optimizing HIV antiretroviral therapy strategies: A multi-scale, multi-objective framework for reconciling individual–population trade-offs	33
Exact solution for hygro-thermo-mechanical creep and recovery of viscoelastic laminated beam	33
Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising	33
Vectorial surrogate modeling method for multi-objective reliability design	33
Global dynamics of a periodic brucellosis model with time delay and environmental factors	33
Level-set-based topology optimization method for conjugate heat transfer structure design based on mixing length turbulence model	33
Signal priority control method for connected transit at urban road intersections considering group energy conservation	33
Multivariate threshold integer-valued autoregressive processes with explanatory variables	33
Analytical solutions for multilayered pipes with temperature-dependent properties under non-uniform pressure and thermal load	33
A theoretical analysis for static instability of plates in a channel with inclined walls	32
Nonnull asymptotic distributions of three classic criteria in nonlinear Birnbaum-Saunders regressions	32
Inverse design of hydroacoustic absorbing metastructures via incorporating multi-material topology optimization into semi-analytical method	32
Deep bidirectional hierarchical matrix factorization model for hyperspectral unmixing	32
Analysis on lubrication contact characteristics of imperfect transversely isotropic coating	32
Numerical simulation of buoyancy–driven flow in a human stomach geometry: Comparison of SPH and FVM models	32
Event-triggered H∞ control for unknown constrained nonlinear systems with application to robot arm	32
An innovative joint-space dynamic theory for rigid multi-axis system - part II: Canonical dynamic equations	32
Distributed curvature control of a continuum arm with intermittently attached cables	32
An efficient nonuniform ALE formulation for dynamic analysis of variant-direction sliding plates/shells	32
A geometric nonlinear multi-material topology optimization method based on univariate combination interpolation scheme	32
Effect of compressible layer on time-dependent behavior of soft-rock large deformation tunnels revealed by mathematical analytical method	31
Selective maintenance of continuously degrading systems with non-identical and stochastically dependent components	31

An alternative minimization method for TV-image deblurring in tensor space	31
Vibration analysis and control method of internal resonant nonlinear system based on coupled nonlinear mode approach	31
Policy design of government subsidy for end-of-life solar panel recycling	31
Generating non-Gaussian rough surfaces using analytical functions and spectral representation method with an iterative algorithm	31
Latent model-free adaptive control of nonlinear multivariable processes via virtual dynamic data modeling	31
A thermo-chemo-mechanically coupled peridynamics for investigating crack behavior in solids	31
The applicable range of the Goodman approximation in non-slipping contact of elastic materials with thermoelectric effects	31
Investigation of guided wave propagation in nanoscale layered periodic piezoelectric plates based on Eringen's nonlocal and strain gradient theory	31
A robust unsupervised neural network framework for geometrically nonlinear analysis of inelastic truss structures	30
Assembly accuracy prediction method of planetary gear train considering bolt-bearing-shaft-gear coupling effects	30
Snow Geese Algorithm: A novel migration-inspired meta-heuristic algorithm for constrained engineering optimization problems	30
A semi-analytical model for rapid prediction of residual stress and deformation in laser powder bed fusion	30
Longitudinal analysis model for segment lining uplift during shield tunnelling considering shearing dislocation of circumferential joints	30
Thermal postbuckling analysis of functionally graded auxetic metamaterial plates supported by Winkler-Pasternak elastic foundation using artificial neural networks	30
A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method	30
Three link flexible arm robust regulation via proportional retarded control scheme	29
Stability analysis and control of a deformable vehicle for emergency obstacle avoidance during dynamic reconfiguration	29
Harmonic and superharmonic wave propagation in 2D mechanical metamaterials with inertia amplification	29
Editorial Board	29
Internal structure of shock waves: Asymptotic behavior in the inviscid limit and features at small Prandtl numbers	29
The non-reciprocal wave propagation in random piezoelectric composites with aligned semi-spheroid inclusions	29
Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects	29
Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator	29
Constraint programming for multi-line parallel partial disassembly line balancing problem with optional common stations	29
Stochastic target-mediated drug disposition model based on birth-death process and its parameter inference using approximate Bayesian computation-MCMC	29
Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach	29
Analytical solution for nonlocal forced vibration of elliptical nanorod under linear and nonlinear external torque	29
Forecasting new energy vehicle sales with grey model incorporating impact of policies	28
Surface penalization of self-interpenetration in linear and nonlinear elasticity	28
A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models	28
Shear horizontal wave propagation on a piezoelectric substrate with periodic gradient local resonant metasurfaces	28
Adaptive weighted approach for high-dimensional statistical learning and inference	28
Whiteness-based parameter selection for Poisson data in variational image processing	28
A second Piola-Kirchhoff stress-driven homogenization scheme for nonlinear elasticity	28
A subspace-based identification method for vibrating structures with clearance-type nonlinearities	28
A heterogeneous continuum traffic flow model considering mixed connected and autonomous vehicles	28
Dynamic stability of rotating cantilever meta-sandwich beam subjected to tangential tip non-conservative force	28
Prediction model for blast-induced structural damage based on an optimized Bayes discriminant analysis model	28
Optimal design of differentiated credit charging links in mixed-autonomy transportation networks	28
Vibro-impact analysis and characterization of pipeline conveying fluids with multi-segmented motion-limiting constraints	28
Design, modelling and hierarchical progressive multi-objective optimization of motion performance of SCARA parallel robot	28
Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue	28
Flutter in functionally graded conical shell under follower force	28
A unified model for mechanical deformations of single stranded DNA-microbeam biosensors considering surface charge effects	28
Analytical normalized stress invariant-based yield function to model anisotropic-strength differential effect	28
Nonlinear dynamics analysis of A quad-stable electromagnetic energy harvester	27
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction	27
Cooperative optimal train operation algorithm for utilizing regenerative braking energy	27
Global sensitivity analysis for multivariate outputs using generalized RBF-PCE metamodel enhanced by variance-based sequential sampling	27
A deposit-refund system for managing the economical circulation of returnable transport items	27
Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation	27
Stochastic mesoscale characterization of ablative materials for atmospheric entry	27
Three-dimensional vibrations and instabilities of electron-transporting multi-layered graphene sheets via nonlocal-continuum-based models	27
Hybrid interval model for uncertainty analysis of imprecise or conflicting information	27
A new level set method with global alternating minimization algorithm for image segmentation	27
Vibration damping behavior of 1D periodic aluminum/epoxy resin composite laminated structures under bending vibration excitation	27
Spherical indentation over multilayered gels	27
Shape feature controlled topology optimization of attached piezoelectric actuators for vibration control of thin-walled smart structures	27
Static Bayesian finite element model updating driven by prior information with element displacement residual equation	27
A second-order reduced homogenization for nonlinear structures with periodic configurations in cylindrical coordinates	27
Morphing the left atrium geometry: A deeper insight into blood stasis within the left atrial appendage	27
Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain	27
Flexoelectronics of a centrosymmetric semiconductor cylindrical nanoshell	26
Performance analysis of nonlinear vibration energy harvesting system with inelastic barrier under colored noise excitation	26
A central-moment lattice Boltzmann study of bubble interaction and coalescence in shear-thinning viscoelastic fluid	26
Individual and social customers’ joining strategies in a two-stage service system when discount is offered to users of smartphone application	26
An adaptive high-order stochastic perturbation collocation method for uncertainty quantification and propagation	26
Prediction of extreme response of an innovative HSR integral bridge subjected to crosswind and high-speed train	26
Application of perturbation-variation method in large deformation bimodular cylindrical shells: A comparative study of bending theory and membrane theory	26
LBM-based partitioned coupling for fast transient fluid-structure dynamics	26
Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors	25
Multi-response robust parameter design based on Bayesian mixed effects model	25
A coupled electromagnetic-mechanical model and contact behavior of the superconducting coils	25
Numerical analysis of thermal and mechanical characteristics with property maps in complex semiconductor package designs	25
Optimization of vibration and sound insulation in GPLRC honeycomb structures based on circle chaos mapping and Levy flight-enhanced YDSE with constraints	25
Multi-physics model bias correction with data-driven reduced order techniques: Application to nuclear case studies	25
Dynamic response of three-dimensional curved floating slab track under harmonic loads	25
A physically-based elastoplastic damage model for quasi-brittle geomaterials under freeze-thaw cycles and loading	24
Time-optimal control strategies for tungiasis diseases with limited resources	24
Inspection of dynamic fracture behavior of multiple interfacial cracks emanating from circular holes in functionally graded piezoelectric bi-materials	24
Langevin dynamic simulations of two- and three-dimensional polymer-particle flocculation for the development of behavioural modification techniques	24
Robust Low-Rank Matrix Completion via Joint Schatten Capped p-norm and Capped ℓ -norm	24
Economic order/production quantity (EOQ/EPQ) models with product recovery: A review of mathematical modeling (1967–2022)	24
Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process	24
Nonlocal thermomechanical coupled modeling method for two-dimensional rolling contact using a peridynamic approach	24
Natural numerical networks for Natura 2000 habitats classification by satellite images	24
Maximizing band gaps of single-phase phononic plates: Isogeometric optimal approach and 3D printing experimental validation	24
Theoretical study on the stress intensity factor at the crack tip of a water-bearing rock	24
Nonlinear vortex-induced vibration and its mitigation of wind turbines in parked conditions	24
A safety-factor assisted non-probabilistic reliability-based topology optimization for wings with multi-source uncertainty	24
Statistical analysis of the non-stationary binomial AR(1) model with change point	23
Effects of demand substitution on a multi-product and multi-stage ramp-up production system	23
Polarized elastic topological states in hexagonal lattices	23
The s-version finite element method for non-linear material problems	23
Output feedback disturbance rejection control for full-state constrained hydraulic systems with guaranteed tracking performance	23