International Journal of Non-Linear Mechanics

Article	Citations
A generalised neo-Hookean strain energy function for application to the finite deformation of elastomers	65
A review on the statics and dynamics of electrically actuated nano and micro structures	57
3D printed elastomeric polyurethane: Viscoelastic experimental characterizations and constitutive modelling with nonlinear viscosity functions	50
Nonlinear bending analysis of arbitrary-shaped porous nanocomposite plates using a novel numerical approach	47
Hyperelastic structures: A review on the mechanics and biomechanics	39
Nonlinear response analysis for a dual-rotor system supported by ball bearing	39
Design, development, and theoretical and experimental tests of a nonlinear energy harvester via piezoelectric arrays and motion limiters	39
Equilibria determination of elastic articulated duoskelion beams in 2D via a Riks-type algorithm	38
Peridynamic correspondence model for finite elastic deformation and rupture in Neo-Hookean materials	37
Thermocapillary instability on a film falling down a non-uniformly heated slippery incline	35
Nonlinear vibration of fractional viscoelastic micro-beams	33
A piezoelectric–electromagnetic hybrid flutter-based wind energy harvester: Modeling and nonlinear analysis	32
Geometrical nonlinear numerical frequency prediction of porous functionally graded shell panel under thermal environment	31
Global dynamics and performance of vibration reduction for a new vibro-impact bistable nonlinear energy sink	31
Static and dynamic instability modeling of electro-magneto-active polymers with various entanglements and crosslinks	30
Theoretical and experimental studies of global dynamics for a class of bistable nonlinear impact oscillators with bilateral rigid constraints	28
A note on a class of generalized neo-Hookean models for isotropic incompressible hyperelastic materials	28
Nonlinear and linearized vibration analysis of plates and shells subjected to compressive loading	28
Buckling and post-buckling of anisotropic flat panels subjected to axial and shear in-plane loadings accounting for classical and refined structural and nonlinear theories	26
Primary resonance of double-curved nanocomposite shells using nonlinear theory and multi-scales method: Modeling and analytical solution	26
Combining nonlinear vibration absorbers and the Acoustic Black Hole for passive broadband flexural vibration mitigation	26
Nonlinear vibration analysis of a cantilever beam with multiple breathing edge cracks	25
Vibration mitigation and dynamics of a rotor-blade system with an attached nonlinear energy sink	25
Controlling self-excited vibration of a nonlinear beam by nonlinear resonant velocity feedback with time-delay	24
On bifurcation behavior of hard magnetic soft cantilevers	23

Taut domains in transversely isotropic electro-magneto-active thin membranes	22
Vibration properties of a knee bio-inspired nonlinear isolation structure	22
Buckling and postbuckling of extensible, shear-deformable beams: Some exact solutions and new insights	22
Progressive damage analysis of composite laminates subjected to low-velocity impact using 2D layer-wise structural models	22
Design, analysis and experimental validation of high static and low dynamic stiffness mounts based on target force curves	22
Effect of odd-viscosity on the dynamics and stability of a thin liquid film flowing down on a vertical moving plate	21
Nonlinear analysis of functionally graded beams using the dual mesh finite domain method and the finite element method	21
Nonlinear analysis of a dual-disk rotor system considering elastoplastic contact	20
Nonlinear analysis of thin-walled beams with highly deformable sections	19
Bifurcation of magnetorheological film–substrate elastomers subjected to biaxial pre-compression and transverse magnetic fields	19
Nonlinear dynamics of mode-localized MEMS accelerometer with two electrostatically coupled microbeam sensing elements	18
Channel flows of shear-thinning fluids that mimic the mechanical response of a Bingham fluid	18
Investigation of dynamic behavior of a cable-stayed cantilever beam under two-frequency excitations	18
Linear and nonlinear mechanical responses of FG-GPLRC plates using a novel strain-based formulation of modified FSDT theory	18
Random vibration analysis of vibro-impact systems: RBF neural network method	18
Geometrically nonlinear dynamic analysis of laminated composite plate using a nonpolynomial shear deformation theory	18
Vibration analysis of a multi-disk bolted joint rotor-bearing system subjected to fixed-point rubbing fault	18
A simple explicit model constructed from a homogenization solution for the large-strain mechanical response of elastomeric syntactic foams	18
Dynamics of a mechanical network consisting of discontinuous coupled system oscillators with strong irrational nonlinearities: Resonant states and bursting waves	18
2D electrostatic energy harvesting device using a single shallow arched microbeam	18
Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory	18
Insights into the nonlinear behaviors of dual-rotor systems with inter-shaft rub-impact under co-rotation and counter-rotation conditions	17
Nonstationary stochastic response determination of nonlinear oscillators endowed with fractional derivatives	17
Usability of finite elements based on the absolute nodal coordinate formulation for deformation analysis of the Achilles tendon	17
Artificial neural network (ANN) based investigation on the static behaviour of piezo-magneto-thermo-elastic nanocomposite sandwich plate with CNT agglomeration and porosity	17
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation	17
Nonlinear characteristics of gear pair considering fractal surface dynamic contact as internal excitation	16
On the forward and backward motion of milli-bristlebots	16
Optimal fiber paths for robotically manufactured composite structural panels	16
Stefan problems for the diffusion–convection equation with temperature-dependent thermal coefficients	16
Wave modulation in a nonlinear acoustic metamaterial	16
Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE	16
On occurrence of bursting oscillations in a dynamical system with a double Hopf bifurcation and slow-varying parametric excitations	15
An approach to the micro-strain distribution inside nanoparticle structure	15
Bistability and simultaneous mode actuation in electrostatically actuated initially curved coupled micro beams	15
An equivalent spring-based model to couple the motion of visco-hyperelastic dielectric elastomer with the confined compressible fluid/air mass	15
Nonlinear deformation monitoring of elastic beams based on isogeometric iFEM approach	15
Three to one internal resonances of a pre-deformed rotating beam with quadratic and cubic nonlinearities	15
The pursuit of simplicity	15
Nonlinear response analysis of aero-engine rotor bearing rub-impact system caused by horizontal yawing maneuver load	15
Influence of debonding on nonlinear deflection responses of curved composite panel structure under hygro-thermo-mechanical loading–macro-mechanical FE approach	14
Forced Nonlinear vibration and bifurcation analysis of circular cylindrical nanocomposite shells using the normal form	14
Investigating amplitude death in a coupled nonlinear aeroelastic system	14
Nonlinear behavior and instabilities of a hyperelastic von Mises truss	14
Surface instabilities in graded tubular tissues induced by volumetric growth	14
Effect of the second invariant of the Cauchy–Green deformation tensor on the local dynamics of dielectric elastomers	14
Effect of geometric imperfections and circumferential symmetry on the internal resonances of cylindrical shells	14
Anti-curvature honeycomb lattices for mode-dependent enhancement of nonlinear elastic properties under large deformation	14
Efficiency of mono-stable piezoelectric Duffing energy harvester in the secondary resonances by averaging method. Part 1: Sub-harmonic resonance	14
Lever-type high-static-low-dynamic-stiffness vibration isolator with electromagnetic shunt damping	14

Passive suppression of flow-induced vibrations of a cantilevered pipe discharging fluid using non-linear vibration absorbers	14
Snap-through and Eulerian buckling of the bi-stable von Mises truss in nonlinear elasticity: A theoretical, numerical and experimental investigation	14
Onset of convection in LTNE Darcy–Brinkman anisotropic porous layer: Cattaneo effect in the solid	14
Nonlocal anisotropic elastic shell model for vibrations of double-walled carbon nanotubes under nonlinear van der Waals interaction forces	14
Dynamics and nonlinear effects of a compact near-zero frequency vibration isolator with HSLD stiffness and fluid damping enhancement	13
Simultaneous identification of structural damage and nonlinear hysteresis parameters by an evolutionary algorithm-based artificial neural network	13
Nonlinear dynamics and bifurcation analysis of journal bearings based on second order stiffness and damping coefficients	13
Nonlinear Model Order Reduction via Nonlinear Moment Matching with Dynamic Mode Decomposition	13
Role of anisotropic invariants in numerically modeling soft biological tissues as transversely isotropic hyperelastic materials: A comparative study	13
Mechanics of nonlinear visco-hyperelastic-hysteresis membranes	13
Electromechanical coupling modeling and analysis of contact-separation mode triboelectric nanogenerators	13
Nonlinear supersonic flutter of sandwich truncated conical shell with flexible honeycomb core manufactured by fused deposition modeling	13
A generalized strain energy function using fractional powers: Application to isotropy, transverse isotropy, orthotropy, and residual stress symmetry	13
On the different types of global and local conservation laws for partial differential equations in three spatial dimensions: Review and recent developments	13
Nonlinear vibration analysis of CNT-reinforced functionally graded composite cylindrical shells resting on elastic foundations	13
Falling liquid films on a slippery substrate with variable fluid properties	12
Modelling the residually stressed magneto-electrically coupled soft elastic materials	12
An approximate stochastic dynamics approach for design spectrum based response analysis of nonlinear structural systems with fractional derivative elements	12
Low-to-high frequency targeted energy transfer using a nonlinear energy sink with softening-hardening nonlinearity	12
Seismic analysis of liquid storage tank using oblate spheroid base isolation system based on rolling friction	12
Stall-induced fatigue damage in nonlinear aeroelastic systems under stochastic inflow: Numerical and experimental analyses	12
Self-synchronization and control-synchronization of dual-rotor space vibration system	12
Finite strain-based theory for the superharmonic and subharmonic resonance of beams resting on a nonlinear viscoelastic foundation in thermal conditions, and subjected to a moving mass loading	12
On the dynamics of multi-closed-chain robotic mechanisms	12
Jeffery–Hamel flow of a shear-thinning fluid that mimics the response of viscoplastic materials	12
Large deflection model for rub-impact analysis in high-speed rotor-bearing system with mass unbalance	12
Static deflection modeling of combined flexible beams using elliptic integral solution	12
Nonlinear stochastic dynamics of detuned bladed-disks with uncertain mistuning and detuning optimization using a probabilistic machine learning tool	11
Influence of dissipation on extreme oscillations of a forced anharmonic oscillator	11
Extending the theory of pseudo-elasticity to capture the permanent set and the induced anisotropy in the Mullins effect	11
Routes to Synchronization in a pitch–plunge aeroelastic system with coupled structural and aerodynamic nonlinearities	11
Intelligent modeling of nonlinear dynamical systems by machine learning	11
Dynamic characteristics of the face gear transmission system based on a rotor-shaft-bearing model with multiple nodes	11
Internal resonances among the first three modes of a hinged–hinged beam with cubic and quintic nonlinearities	11
Variable stiffness composite laminated beams - nonlinear free flexural vibration behavior using a sinusoidal based shear flexible structural theory accounting for Poisson’s effect	11
Dynamics research on the rubbing process and rubbing forms of rotor–blade–casing​ systems	11
Suppression of panel flutter response in supersonic airflow using a nonlinear vibration absorber	10
Vibrational resonance in a bistable van der Pol–Mathieu–Duffing oscillator	10
Which moments are appropriate to describe gases with internal structure in Rational Extended Thermodynamics?	10
Nonlinear vibro-acoustic behavior of cylindrical shell under primary resonances	10
Parameters identification of Iwan bolted joint models based on enhanced hysteretic force response sensitivity approach	10
Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells	10
Intrawell and interwell oscillations for bi-stable cross-ply laminates actuated by MFC under oscillating impulse voltages	10
The effects of Vadasz term, anisotropy and rotation on bi-disperse convection	10
Enhancing bandwidth of metamaterial plate with linear and nonlinear passive absorbers	10
Viscoelastic–plastic response of tunnels based on a novel damage creep constitutive model	10
An approach to assess the thermal aging effects on the coupling between inelasticity and network alteration in filled rubbers	10
Synchronization characteristics of an array of coupled MEMS limit cycle oscillators	9
Mathematical modelling, numerical and experimental analysis of one-degree-of-freedom oscillator with Duffing-type stiffness	9
Nonlinear free and forced vibrations of a fiber-reinforced dielectric elastomer-based microbeam	9
Uncertainty quantification and control of kinetic models of tumour growth under clinical uncertainties	9
Creep, recovery and vibration of an incompressible viscoelastic material of the rate type: Simple tension case	9
Dynamics of a tri-stable hybrid energy harvester under narrow-band random excitation	9
Size-dependent nonlinear bending analysis of nonlocal magneto-electro-elastic laminated nanobeams resting on elastic foundation	9
The derivation of the FENE-P model within the context of a thermodynamic perspective for bodies with evolving natural configurations	9
Nonlinear thermo-elastic stability of variable stiffness curvilinear fibres based layered composite beams by shear deformable trigonometric beam model coupled with modified constitutive equations	9
Probabilistic response analysis of nonlinear vibro-impact systems with two correlated Gaussian white noises	9
Spin-induced internal resonance in circular cylindrical shells	9
Nonlinear dynamics of an enhanced piezoelectric energy harvester composited of bi-directional functional graded materials	9
Density inversion phenomenon in porous penetrative convection	9
Numerical analysis of a multistable capsule system under the delayed feedback control with a constant delay	9
Dynamic modeling and performance analysis of toggle-linkage presses considering mixed clearances and flexibility	9
Growth and patterns of residually stressed core–shell soft sphere	9
Nonlinear interaction of the damped large dynamic deformations of the Mooney–Rivlin hyperelastic plates with the viscoelastic and shear reactions of the supporting substrate	9
Nonlinear stochastic vibration of a variable cross-section rod with a fractional derivative element	9
Probabilistic analysis on parametric random vibration of a marine riser excited by correlated Gaussian white noises	9
Geometry-induced rigidity in elastic torus from circular to oblique elliptic cross-section	9
Thermo-mechanical large deformation characteristics of cutout borne multilayered curved structure: Numerical prediction and experimental validation	9
Nonlinear vibration analysis of an axially moving thin-walled conical shell	9
One-dimensional MHD flows with cylindrical symmetry: Lie symmetries and conservation laws	9
Nonlinear deformation and instability of a dielectric elastomer tube actuator	8
The nonlinear dynamic characteristics analysis and vibration reduction control of the shafting system of a hydropower unit	8
Dynamical analysis and numerical verification of a non-smooth nonlinear energy sink	8
Non-stationary response determination of nonlinear systems subjected to combined deterministic and evolutionary stochastic excitations	8
Nonlinear dynamics of vortex-induced vibration of a nonlinear beam under high-frequency excitation	8
Determination of modes of vibration for accurate modelling of the flexibility effects on dynamics of a two link flexible manipulator	8
On the elastic snapping of structural elements	8
Limitations of the St. Venant–Kirchhoff material model in large strain regimes	8
Dynamic characteristics of a spur gear pair under the coupled effects of angular misalignment fault and tooth modification	8
Amplitude region for triggering frequency locking in internal resonance response of two nonlinearly coupled micro-resonators	8

Analysis of a quarter car suspension based on a Kelvin–Voigt viscoelastic model with fractional-order derivative	8
Vibration transmission through the frictional mass-in-mass metamaterial: An analytical investigation	8
Parameter estimation techniques for a chemotaxis model inspired by Cancer-on-Chip (COC) experiments	8
Nonlinear vibration analysis of functionally graded material tubes with conveying fluid resting on elastic foundation by a new tubular beam model	8
Investigation on buckling and mode jumping of composite plates under thermomechanical loads	8
Stochastic averaging for SDOF strongly nonlinear system under combined harmonic and Poisson white noise excitations	8
The time and temperature dependences of the stress recovery of Ecoflex polymer	8
Separatrix splitting and nonintegrability in the nonholonomic rolling of a generalized Chaplygin sphere	8
Nonlinear vibration characteristics of rolling bearing considering flexible cage fracture	7
A multi-scale plastic-damage model for strain-induced morphological anisotropy in semi-crystalline polyethylene	7
From beams to bilayers: A unifying approach towards instabilities of compressible domains under plane deformations	7
Mode transitions in buckling and post-buckling of stretched-twisted strips	7
The role of the hysteretic restoring force on modal interactions in nonlinear dynamics	7
Tailored nonlinear stiffness and geometric damping: Applied to a bistable vibration absorber	7
Efficiency of mono-stable piezoelectric Duffing energy harvester in the secondary resonances by averaging method, Part 2: Super-harmonic resonance	7
Dynamic modelling and parametric analysis of a bolted joint rotor-bearing system considering stick-slip behavior at mating interface	7
Responses of stochastic dynamical systems by the generalized cell mapping method with deep learning	7
A Krylov accelerated Newton–Raphson scheme for efficient pseudo-arclength pathfollowing	7
Shear imposed falling film with odd viscosity effects	7
Study on nonlinear dynamic characteristics of gear system with 3D anisotropic rough tooth surface based on fractal theory	7
Dynamic characteristics analysis of bilayer bio-inspired X-shaped vibration isolation structure	7
On the role of elasticity in focal adhesion stability within the passive regime	7
Experimental and numerical investigations on the nonlinear aeroelastic behavior of high aspect-ratio wings for different chord-wise store positions under stall and follower aerodynamic load models	7
Pulsating Poiseuille flow of a cement slurry	7
Nonlinear vibratory energy exchanges in a meta-cell	7
Indentation of a circular hyperelastic membrane by a rigid cylinder	7
Minimizing stress concentrations using steered fiberpaths and incorporating realistic manufacturing signatures	7
Further investigation and experimental study of an origami structure-based quasi-zero-stiffness vibration isolator	7
Continua with non-local constitutive laws: Exploitation of entropy inequality	7
Data-driven method for identifying the expression of the Lyapunov exponent from random data	7
Bifurcation behavior of compressible elastic half-space under plane deformations	7
Micromechanical modeling of the visco-hyperelastic–viscoplastic​ behavior and fracture of aged semicrystalline polymers	7
Computing static behavior of flexible rectangular von Kármán plates in fast and reliable way	7
Nano- and microparticle Nonlinear Damping Identification in quadrupole trap	7
Integrated a nonlinear energy sink and a piezoelectric energy harvester using simply-supported bi-stable piezoelectric composite laminate	7
Nonlinear dynamic modeling and analysis of spur gears considering dynamic contact state under misalignment errors	7
An efficiency comparison of different ANCF implementations	7
Effect of stochastic forcing on the dynamic behavior of a self-sustained oscillator coupled to a non-linear energy sink	7
Study on the characteristics of blast loads due to two simultaneous detonated charges in real air	7
Moment analysis of galloping energy harvesters with a parallel circuit under stochastic excitation	7
Extended Gent models for residually stressed thick spheres and cylinders	7
Vibrational resonance analysis in a fractional order Toda oscillator model with asymmetric potential	7
Physically guided deep learning solver for time-dependent Fokker–Planck equation	7
Unified plate finite elements for the large strain analysis of hyperelastic material structures	6
Mass sensing by symmetry breaking and localization of motion in an array of electrostatically coupled nonlinear MEMS resonators	6
Vibration energy harvesting enhancement of a plate interacting with subsonic airflow in a narrow gap	6
The TVICMs method for weak signal detection based on a nonlinear stochastic delay differential system	6
Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems	6
Dynamics of stochastic vibro-impact oscillator with compliant contact force models	6
Parametric study on internal resonances for a simplified nonlinear blade model	6
In-plane buckling of flexibly bonded three-layer pinned-fixed half-sine shallow arches	6
Nonlinear characteristic analysis of shaft-bearing-pedestal system considering damage of cylindrical roller bearing	6
Gaussian RBFNN method for solving FPK and BK equations in stochastic dynamical system with FOPID controller	6
On the Brachistochrone problem with state constraints on the slope angle	6
A time-stepping method for multibody systems with frictional impacts based on a return map and boundary layer theory	6
Elasto-capillary necking, bulging and Maxwell states in soft compressible cylinders	6
On the role of friction and remodelling in cell–matrix interactions: A continuum mechanical model	6
Singular surface for non-ideal two-phase modified Chaplygin flow consisting of source term	6
Dynamics of cable-driven parallel manipulators with variable length vibrating cables	6
Combined Tuned Mass Dampers for structural vibration control	6
Static and dynamic characteristics of a compound sphere using Initial Stress Reference Independence	6
Uncertainty analysis of heart dynamics using Random Matrix Theory	6
Resonant phase lags of a Duffing oscillator	6
Dynamic analysis of straight stepped microbeams	6
Theoretical and numerical study of vibrational resonance in a damped softening Duffing oscillator	6
Localized and non-localized nonlinear normal modes in a system of two coupled pendulums under a magnetic field	6
Nonlinear finite element analysis of electromechanical behaviors in a piezoelectric semiconductor beam	6
Stochastic bifurcations and transient dynamics of probability responses with radial basis function neural networks	6
Stick–slips and jerks in an SDOF system with dry friction and clearance	6
All-round responses and boundaries of a shaft and dry friction damper assembly	6
Numerical modelling of the interaction between severe slugging and dynamic response of deepwater risers: A time-domain ANHE-FD based solution	6
A failure model for damage accumulation of cross-linked polymers during parallel exposure to thermal aging & fatigue	6
Moment Lyapunov exponent and stochastic stability of a vibro-impact system driven by Gaussian white noise	6
Constitutive relation expansion of large load metal rubber engine mount stress bivariate function relationship using the strain and strain rate	6
Nonuniform bending theory of hyperelastic beams in finite elasticity	6
Stability and bifurcation analysis of two-degrees-of-freedom vibro-impact system with fractional-order derivative	6
Dynamics of a non-linear Jeffcott rotor in supercritical regime	6
Exact solution for 1D deep bed filtration with particle capture by advection and dispersion	6
Cell crawling on a compliant substrate: A biphasic relation with linear friction	6
Nonlinear stress analysis of shell structures in buckling and snapping problems by exact geometry solid-shell elements through sampling surfaces formulation	6
Encoder position feedback based indirect integral method for motor parameter identification subject to asymmetric friction	6
Bifurcation and chaotic behavior in the discrete BVP oscillator	6
Complex bifurcation analysis of an impacting vibration system based on path-following method	6
Response of a stochastic multiple attractors wind-induced vibration energy harvesting system with impacts	6
Analytical solutions of cavitation instability in a compressible hyperelastic solid	6
Contributions of various non-linearities to the dynamic response of an automotive drum brake during typical braking: A theoretical study	5
Integrity basis of polyconvex invariants for modeling hyperelastic orthotropic materials — Application to the mechanical response of passive ventricular myocardium	5
Numerical simulations of the flow of a kerosene gel: Effects of thixotropy and shear-thinning	5
A new nonlinear 5-parameter beam model accounting for the Poisson effect	5
Shear imposed falling liquid films on a slippery substrate with Marangoni effects: Effect of odd viscosity	5
Parametrically excited axially accelerating viscoelastic beam subjected to time-varying axial speed, longitudinally varying axial tension and internal resonance	5
Vibration control of primary and subharmonic simultaneous resonance of nonlinear system with fractional-order Bingham model	5
Biomechanics of abdominal aortic aneurysm in the framework of Windkessel effect and fully-developed inflow velocity via two-way non-linear FSI	5
A bicoherence-based nonlinearity measurement method for identifying the location of breathing cracks in blades	5
Nonlinear dynamics of heterogeneous shells. Part 2. Chaotic dynamics of variable thickness shells	5