Applied Mathematics and Mechanics-English Edition

Article	Citations
Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem	69
Transportation of heat through Cattaneo-Christov heat flux model in non-Newtonian fluid subject to internal resistance of particles	59
A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms	52
Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid	46
Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1:1 internal resonance	45
An efficient method for vibration and stability analysis of rectangular plates axially moving in fluid	42
A review of computational modeling and deep brain stimulation: applications to Parkinson’s disease	39
Numerical simulation of MHD natural convection flow in a wavy cavity filled by a hybrid Cu-Al2O3-water nanofluid with discrete heating	37
Large deflection response-based geometrical nonlinearity of nanocomposite structures reinforced with carbon nanotubes	36
The X-structure/mechanism approach to beneficial nonlinear design in engineering	36
Moore-Gibson-Thompson theory for thermoelastic dielectrics	35
Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy	34
Non-axisymmetric Homann stagnation-point flow of Walter’s B nanofluid over a cylindrical disk	33
Darcy-Forchheimer flow with nonlinear mixed convection	33
Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes	33
Thermal vibration of functionally graded porous nanocomposite beams reinforced by graphene platelets	32
Rotational flow of Oldroyd-B nanofluid subject to Cattaneo-Christov double diffusion theory	31
Nonlocal thermoelastic analysis of a functionally graded material microbeam	30
Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure	29
Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis	28
Reiner-Rivlin nanomaterial heat transfer over a rotating disk with distinct heat source and multiple slip effects	28
A brief review of metamaterials for opening low-frequency band gaps	28
Vibration suppression of magnetostrictive laminated beams resting on viscoelastic foundation	28
Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery	28
Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory	27

Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions	27
Electro-magneto-hydrodynamic flow of couple stress nanofluids in micro-peristaltic channel with slip and convective conditions	27
Improving control effects of absence seizures using single-pulse alternately resetting stimulation (SARS) of corticothalamic circuit	26
Couple stress-based nonlinear primary resonant dynamics of FGM composite truncated conical microshells integrated with magnetostrictive layers	25
Multi-resonator coupled metamaterials for broadband vibration suppression	25
Non-axisymmetric Homann MHD stagnation point flow of Al2O3-Cu/water hybrid nanofluid with shape factor impact	24
Dynamics of Sutterby fluid flow due to a spinning stretching disk with non-Fourier/Fick heat and mass flux models	24
Recent advances in wave energy converters based on nonlinear stiffness mechanisms	24
Dual solutions of time-dependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over shrinking/stretching surface	23
Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model	23
Vibration of fluid-conveying pipe with nonlinear supports at both ends	22
Thermal analysis in swirl motion of Maxwell nanofluid over a rotating circular cylinder	22
On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams	22
NES cell	21
Recent advancement of flow-induced piezoelectric vibration energy harvesting techniques: principles, structures, and nonlinear designs	21
Modeling, analysis, and simulation of X-shape quasi-zero-stiffness-roller vibration isolators	21
Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading	21
Extremely large-amplitude oscillation of soft pipes conveying fluid under gravity	21
Size-dependent thermoelastic initially stressed micro-beam due to a varying temperature in the light of the modified couple stress theory	20
Optimization of heat transfer in the thermal Marangoni convective flow of a hybrid nanomaterial with sensitivity analysis	20
A review of nonlinear piezoelectric energy harvesting interface circuits in discrete components	20
Vibration analysis of piezoelectric sandwich nanobeam with flexoelectricity based on nonlocal strain gradient theory	20
Unsteady flow of a Maxwell hybrid nanofluid past a stretching/shrinking surface with thermal radiation effect	20
Slip effects on unsteady mixed convection of hybrid nanofluid flow near the stagnation point	19
Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate	19
New insight into the stability and dynamics of fluid-conveying supported pipes with small geometric imperfections	19
Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method	19
Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility	19
Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations	19
Microstructural evolution and mechanical properties of FeCoCrNiCu high entropy alloys: a microstructure-based constitutive model and a molecular dynamics simulation study	18
Recent improvements of actuator line-large-eddy simulation method for wind turbine wakes	18
Nonlinear free vibration of spinning cylindrical shells with arbitrary boundary conditions	18
Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium	18
Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study	17
Quench characteristics and mechanical responses during quench propagation in rare earth barium copper oxide pancake coils	17
Nonlinear free vibrations of porous composite microplates incorporating various microstructural-dependent strain gradient tensors	17
Heat transport of hybrid nanomaterial in an annulus with quadratic Boussinesq approximation	16
Heat transfer analysis of MHD and electroosmotic flow of non-Newtonian fluid in a rotating microfluidic channel: an exact solution	16
Cascaded quasi-zero stiffness nonlinear low-frequency vibration isolator inspired by human spine	16
Numerical and statistical approach for Casson-Maxwell nanofluid flow with Cattaneo-Christov theory	15
Finite-time consensus of multi-agent systems driven by hyperbolic partial differential equations via boundary control	15
Characteristic analysis of mechanical thermal coupling model for bearing rotor system of high-speed train	15
Mixed convective flow of a hybrid nanofluid between two parallel inclined plates under wall-slip condition	14
Optimal treatment of stratified Carreau and Casson nanofluids flows in Darcy-Forchheimer porous space over porous matrix	14
Nanoparticle aggregation effects on radiative heat transport of nanoliquid over a vertical cylinder with sensitivity analysis	14
Consequence of exponential heat generation on non-Darcy-Forchheimer flow of water based carbon nanotubes driven by a curved stretching sheet	14
Dynamics of bioconvection flow of micropolar nanoparticles with Cattaneo-Christov expressions	14
Impact of anisotropic slip on the stagnation-point flow past a stretching/shrinking surface of the Al2O3-Cu/H2O hybrid nanofluid	14
Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow	14
Stress and buckling analysis of a thick-walled micro sandwich panel with a flexible foam core and carbon nanotube reinforced composite (CNTRC) face sheets	14

Surface contact behavior of functionally graded thermoelectric materials indented by a conducting punch	13
On the consistency of two-phase local/nonlocal piezoelectric integral model	13
A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems	13
Improved frequency modeling and solution for parallel liquid-filled pipes considering both fluid-structure interaction and structural coupling	13
Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model	13
Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models	13
Biomimetic amelioration of zirconium nanoparticles on a rigid substrate over viscous slime — a physiological approach	12
Application of the homopoty analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber	12
Deformation mode and energy absorption of polycrystal-inspired square-cell lattice structures	12
Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model	12
A quasi-zero-stiffness isolator with a shear-thinning viscous damper	12
Prelithiation design for suppressing delamination in lithium-ion battery electrodes	12
Von Kármán rotating flow of Maxwell nanofluids featuring the Cattaneo-Christov theory with a Buongiorno model	11
Displacement of surrounding rock in a deep circular hole considering double moduli and strength-stiffness degradation	11
Dynamic analysis of a deployable/retractable damped cantilever beam	11
Investigation on dynamic characteristics of a rod fastening rotor-bearing coupling system with fixed-point rubbing	11
Mathematical modeling and parametric investigation of blood flow through a stenosis artery	11
Size and temperature effects on band gaps in periodic fluid-filled micropipes	11
Nonlinear vibration analysis of pipeline considering the effects of soft nonlinear clamp	11
Electronic band energy of a bent ZnO piezoelectric semiconductor nanowire	11
Interfacial fracture analysis for a two-dimensional decagonal quasi-crystal coating layer structure	11
Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow	11
Dynamics of a multiplex neural network with delayed couplings	11
An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0, 1) guided waves	10
Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate	10
Stability analysis and modeling for the three-dimensional Darcy-Forchheimer stagnation point nanofluid flow towards a moving surface	10
Two-phase nonlocal integral models with a bi-Helmholtz averaging kernel for nanorods	10
Well-posedness of two-phase local/nonlocal integral polar models for consistent axisymmetric bending of circular microplates	10
Quaternion methods and models of regular celestial mechanics and astrodynamics	10
On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model	10
Influence of elastic foundations and carbon nanotube reinforcement on the hydrostatic buckling pressure of truncated conical shells	10
Bending analysis of magnetoelectroelastic nanoplates resting on Pasternak elastic foundation based on nonlocal theory	10
Design and fluid-structure interaction analysis for a microfluidic T-junction with chemo-responsive hydrogel valves	10
Free vibration characteristics of sectioned unidirectional/bidirectional functionally graded material cantilever beams based on finite element analysis	10
Effects of stretching/shrinking on the thermal performance of a fully wetted convective-radiative longitudinal fin of exponential profile	10
Enhanced galloping energy harvester with cooperative mode of vibration and collision	9
Surface effects on a mode-III reinforced nano-elliptical hole embedded in one-dimensional hexagonal piezoelectric quasicrystals	9
Research on coupled thermo-hydro-mechanical dynamic response characteristics of saturated porous deep-sea sediments under vibration of mining vehicle	9
Design and dynamic analysis of integrated architecture for vibration energy harvesting including piezoelectric frame and mechanical amplifier	9
Effective elastic properties of one-dimensional hexagonal quasicrystal composites	9
Flow of colloidal suspension and irreversibility analysis with aggregation kinematics of nanoparticles in a microchannel	9
Typical transient effects in a piezoelectric semiconductor nanofiber under a suddenly applied axial time-dependent force	9
Complicated deformation simulating on temperature-driven 4D printed bilayer structures based on reduced bilayer plate model	9
Size-dependent thermoelasticity of a finite bi-layered nanoscale plate based on nonlocal dual-phase-lag heat conduction and Eringen’s nonlocal elasticity	8
Nonlinear dynamic analysis of dielectric elastomer membrane with electrostriction	8
Numerically simulated behavior of radiative Fe3O4 and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force	8
Research on linear/nonlinear viscous damping and hysteretic damping in nonlinear vibration isolation systems	8
Dynamic and buckling analysis of polymer hybrid composite beam with variable thickness	8
Dynamic analysis of geared transmission system for wind turbines with mixed aleatory and epistemic uncertainties	8
Unified two-phase nonlocal formulation for vibration of functionally graded beams resting on nonlocal viscoelastic Winkler-Pasternak foundation	8
A full-coupling model of PN junctions based on the global-domain carrier motions with inclusion of the two metal/semiconductor contacts at endpoints	8
Thomson and rotation effects during photothermal excitation process in magnetic semiconductor medium using variable thermal conductivity	8
Reflection and transmission of quasi-plane waves at the interface of piezoelectric semiconductors with initial stresses	8
Bandgaps and vibration isolation of local resonance sandwich-like plate with simply supported overhanging beam	8
Natural dynamic characteristics of a circular cylindrical Timoshenko tube made of three-directional functionally graded material	8
Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation	7
Unified simulation of hardening and softening effects for metals up to failure	7
Utilization of nonlinear vibrations of soft pipe conveying fluid for driving underwater bio-inspired robot	7
Reconfigurable metamaterial for asymmetric and symmetric elastic wave absorption based on exceptional point in resonant bandgap	7
Shear-augmented solute dispersion during drug delivery for three-layer flow through microvessel under stress jump and momentum slip-Darcy model	7
Vibration control of fluid-conveying pipes: a state-of-the-art review	7
Non-equilibrium turbulent phenomena in transitional flat plate boundary-layer flows	7
Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres	7
Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity	7
Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects	7
Asymptotics for filtration of polydisperse suspension with small impurities	7
Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields	7
Surface effect on band structure of magneto-elastic phononic crystal nanoplates subject to magnetic and stress loadings	7
Adjacent mode resonance of a hydraulic pipe system consisting of parallel pipes coupled at middle points	7
Heat transfer and Helmholtz-Smoluchowski velocity in Bingham fluid flow	7
Thomson effect with hyperbolic two-temperature on magneto-thermo-visco-elasticity	7
Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink	6
Active control of flow past an elliptic cylinder using an artificial neural network trained by deep reinforcement learning	6
Wave propagation analysis of porous functionally graded piezoelectric nanoplates with a visco-Pasternak foundation	6
Snap-through path in a bistable dielectric elastomer actuator	6
Soft pneumatic actuators by digital light processing combined with injection-assisted post-curing	6
Dynamics and response reshaping of nonlinear predator-prey system undergoing random abrupt disturbances	6
Nonlinear energy harvesting with dual resonant zones based on rotating system	6
Complex response analysis of a non-smooth oscillator under harmonic and random excitations	6
Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory	6

An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity	6
Reflection of three-dimensional plane waves at the free surface of a rotating triclinic half-space under the context of generalized thermoelasticity	6
Propagation of Rayleigh-type surface waves in a layered piezoelectric nanostructure with surface effects	6
Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells	6
Lattice Boltzmann simulation of phase change and heat transfer characteristics in the multi-layer deposition	6
Horizontal convection in a rectangular enclosure driven by a linear temperature profile	6
An analytical study on the Rayleigh wave generation in a stratified structure	6
Bending and free vibrational analysis of bi-directional functionally graded beams with circular cross-section	6
Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow	6
Influence of vehicle-road coupled vibration on tire adhesion based on nonlinear foundation	6
Electric potential and energy band in ZnO nanofiber tuned by local mechanical loading	6
Melting effect and Cattaneo-Christov heat flux in fourth-grade material flow through a Darcy-Forchheimer porous medium	6
Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales	6
Propagation of combined longitudinal and torsional stress waves in a functionally graded thin-walled tube	5
A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source	5
High-precision stress determination in photoelasticity	5
Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation	5
An artificial viscosity augmented physics-informed neural network for incompressible flow	5
Electromagnetohydrodynamic flows and mass transport in curved rectangular microchannels	5
Combining field-modulating electroosmotic vortex and insulating post to manipulate particles based on dielectrophoresis	5
Size-dependent modal interactions of a piezoelectrically laminated microarch resonator with 3:1 internal resonance	5
Three-dimensional steady-state closed form solution for multilayered fluid-saturated anisotropic finite media due to surface/internal point source	5
A new analytical-numerical method for calculating interacting stresses of a multi-hole problem under both remote and arbitrary surface stresses	5
Hygroelasticity analysis of an elastically restrained functionally graded porous metamaterial circular plate resting on an auxetic material circular plate	5
Thermal-induced snap-through buckling of simply-supported functionally graded beams	5
Effects of residual stress and viscous and hysteretic dampings on the stability of a spinning micro-shaft	5
Fundamental solutions of critical wedge angles for one-dimensional piezoelectric quasicrystal wedge	5
Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks	5
Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics	5
Mathematical modeling of mixed convective MHD Falkner-Skan squeezed Sutterby multiphase flow with non-Fourier heat flux theory and porosity	5
Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations	5
Analysis of a two-grid method for semiconductor device problem	5
A new tunable elastic metamaterial structure for manipulating band gaps/wave propagation	5
Three-dimensional general magneto-electro-elastic finite element model for multiphysics nonlinear analysis of layered composites	5
Low-velocity impact of rectangular foam-filled fiber metal laminate tubes	4
Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory	4
Motion through spherical droplet with non-homogenous porous layer in spherical container	4
Modeling and analysis of magnetic spring enhanced lever-type electromagnetic energy harvesters	4
Proper orthogonal decomposition analysis of coherent motions in a turbulent annular jet	4
Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs	4
The size-dependent elastohydrodynamic lubrication contact of a coated half-plane with non-Newtonian fluid	4
Electromagnetohydrodynamic (EMHD) flow of fractional viscoelastic fluids in a microchannel	4
A novel way for vibration control of FGM fluid-conveying pipes via NiTiNOL-steel wire rope	4
Analysis of thermal responses in a two-dimensional porous medium caused by pulse heat flux	4
Research on data assimilation strategy of turbulent separated flow over airfoil	4
Interfacial instability of ferrofluid flow under the influence of a vacuum magnetic field	4
Dynamic analysis and regulation of the flexible pipe conveying fluid with a hard-magnetic soft segment	4
Electric-magnetic-force characteristics of rare earth barium copper oxide superconductor high-field coils based on screening effect and strain sensitivity	4
Wavelet multiresolution interpolation Galerkin method for nonlinear boundary value problems with localized steep gradients	4
A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor	4
A novel design scheme for acoustic cloaking of complex shape based on region partitioning and multi-origin coordinate transformation	4
Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature	4
Distribution of non-spherical nanoparticles in turbulent flow of ventilation chamber considering fluctuating particle number density	4
A bio-inspired spider-like structure isolator for low-frequency vibration	4
Regulating absence seizures by tri-phase delay stimulation applied to globus pallidus internal	4
Nonlinear coupling modeling and dynamics analysis of rotating flexible beams with stretching deformation effect	4
Effects of grain boundary on irradiation-induced zero-dimensional defects in an irradiated copper	4
Electrokinetic flow and energy conversion in a curved microtube	4
Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows	4
Flutter analysis of rotating beams with elastic restraints	4
Numerical investigation of flow over a two-dimensional square cylinder with a synthetic jet generated by a bi-frequency signal	4
Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery	3
Many-body dissipative particle dynamics with energy conservation: temperature-dependent long-term attractive interaction	3
Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating	3
Dynamic stiffness characteristics of aero-engine elastic support structure and its effects on rotor systems: mechanism and numerical and experimental studies	3
Mathematical modeling and numerical computation of the effective interfacial conditions for Stokes flow on an arbitrarily rough solid surface	3
Random vibration of hysteretic systems under Poisson white noise excitations	3
New optimized flux difference schemes for improving high-order weighted compact nonlinear scheme with applications	3
Analytical transient phase change heat transfer model of wearable electronics with a thermal protection substrate	3
Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model	3
Scattering of Tollmien-Schlichting waves by localized roughness in transonic boundary layers	3
Bandgap characteristics of the two-dimensional missing rib lattice structure	3
Transverse shear and normal deformation effects on vibration behaviors of functionally graded micro-beams	3
Flexural-wave-generation using a phononic crystal with a piezoelectric defect	3
A high order boundary scheme to simulate complex moving rigid body under impingement of shock wave	3
Dynamic analysis of wind turbine tower structures in complex ocean environment	3
Static response of functionally graded multilayered two-dimensional quasicrystal plates with mixed boundary conditions	3
An adaptive artificial viscosity for the displacement shallow water wave equation	3
Effects of g-jitter and radiation on three-dimensional double diffusion stagnation point nanofluid flow	3
Green’s functions of two-dimensional piezoelectric quasicrystal in half-space and bimaterials	3
Nonlinear magneto-mechanical-thermo coupling characteristic analysis for transport behaviors of carriers in composite multiferroic piezoelectric semiconductor nanoplates with surface effect	3
Repercussion of Hall effect and nonlinear radiation on Couette-Poiseuille flow of Casson-Williamson fluid through upright microchannel	3
A procedure of the method of reverberation ray matrix for the buckling analysis of a thin multi-span plate	3
Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab	3
Non-Newtonian biomagnetic fluid flow through a stenosed bifurcated artery with a slip boundary condition	3
Kinematic and mixing characteristics of vortex interaction induced by a vortex generator model: a numerical study	3
Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses	3
Bending analysis of five-layer curved functionally graded sandwich panel in magnetic field: closed-form solution	3
High-order targeted essentially non-oscillatory scheme for two-fluid plasma model	3
Transport of dissolved oxygen at the sediment-water interface in the spanwise oscillating flow	3
New finite strain elastoplastic equations for accurately and explicitly simulating pseudoelastic-to-plastic transition effects of shape memory alloys	3
Rational design of thermoelastic damping in microresonators with phase-lagging heat conduction law	3
Droplet impact on wetted structured surfaces	3
Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational a-polynomials	3
An analytic model for transient heat conduction in bi-layered structures with flexible serpentine heaters	3