Applied mathematics and mechanics, ISSN 0253-4827, 2010, Volume 31, Issue 1, pp. 37 - 54

This paper has successfully addressed three critical but overlooked issues in nonlocal elastic stress field theory for nanobeams： （i） why does the presence of...

非局部 | 挠度方程 | 平衡条件 | 弹性应力场 | 纳米效应 | 静态弯曲 | 局域效应 | strain gradient | 74A60 | nanoscale | effective nonlocal bending moment | nanomechanics | nonlocal elastic stress | O343 | Mathematics | bending | Mechanics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | nanobeam | Nanoscale | Nanobeam | Nonlocal elastic stress | Nanomechanics | Strain gradient | Bending | Effective nonlocal bending moment | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Elasticity | Usage | Field theory (Physics) | Analysis | Nanotechnology | Equilibrium conditions | Deflection | Nanocomposites | Mathematical analysis | Differential equations | Nanomaterials | Field theory | Nanostructure

非局部 | 挠度方程 | 平衡条件 | 弹性应力场 | 纳米效应 | 静态弯曲 | 局域效应 | strain gradient | 74A60 | nanoscale | effective nonlocal bending moment | nanomechanics | nonlocal elastic stress | O343 | Mathematics | bending | Mechanics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | nanobeam | Nanoscale | Nanobeam | Nonlocal elastic stress | Nanomechanics | Strain gradient | Bending | Effective nonlocal bending moment | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Elasticity | Usage | Field theory (Physics) | Analysis | Nanotechnology | Equilibrium conditions | Deflection | Nanocomposites | Mathematical analysis | Differential equations | Nanomaterials | Field theory | Nanostructure

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 6/2018, Volume 39, Issue 6, pp. 783 - 796

The main goal of this paper is to focus on the investigation of interaction between a magnetic field and elastic materials with microstructure, whose...

magnetic field | Classical Mechanics | O343 | Mathematics | carrier density | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | microtemperature | 74B10 | Laplace transform | photothermal theory | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Thermodynamics | Usage | Phototropism | Models | Mathematical models | Magnetic fields | Microstructure | Integral transforms | Excitation | Mathematical analysis | Free surfaces

magnetic field | Classical Mechanics | O343 | Mathematics | carrier density | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | microtemperature | 74B10 | Laplace transform | photothermal theory | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Thermodynamics | Usage | Phototropism | Models | Mathematical models | Magnetic fields | Microstructure | Integral transforms | Excitation | Mathematical analysis | Free surfaces

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 12/2008, Volume 29, Issue 12, pp. 1617 - 1624

A new analytical method is presented to study the axisymmetric Biot’s consolidation of a finite soil layer. Starting from the governing equations of...

Hankel transform | axisymmetric Biot’s consolidation | TU43 | O343 | 74F10 | Mechanics | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | Laplace transform | finite soil layer | Axisymmetric Biot's consolidation | Finite soil layer | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Axisymmetric | Consolidation | Mathematical analysis | Transforms | Mathematical models | Inverse | Laplace transforms | Soil (material)

Hankel transform | axisymmetric Biot’s consolidation | TU43 | O343 | 74F10 | Mechanics | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | Laplace transform | finite soil layer | Axisymmetric Biot's consolidation | Finite soil layer | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Axisymmetric | Consolidation | Mathematical analysis | Transforms | Mathematical models | Inverse | Laplace transforms | Soil (material)

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 12/2018, Volume 39, Issue 12, pp. 1805 - 1824

Eringen's two-phase local/nonlocal model is applied to an Euler-Bernoulli nanobeam considering the bending-induced axial force, where the contribution of the...

internal characteristic length | O343 | nonlocal elasticity | axial force | size effect | nanobeam | unique solution | Mechanics | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Usage | Differential equations | Stress concentration | Error analysis | Deflection | Deformation mechanisms | Exact solutions | Axial forces | Boundary conditions | Bending moments | Load distribution (forces) | Integral equations | Mathematical models | Force distribution | Euler-Bernoulli beams | Elastic analysis

internal characteristic length | O343 | nonlocal elasticity | axial force | size effect | nanobeam | unique solution | Mechanics | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Usage | Differential equations | Stress concentration | Error analysis | Deflection | Deformation mechanisms | Exact solutions | Axial forces | Boundary conditions | Bending moments | Load distribution (forces) | Integral equations | Mathematical models | Force distribution | Euler-Bernoulli beams | Elastic analysis

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 11/2019, Volume 40, Issue 11, pp. 1547 - 1560

Application of dielectric elastomers (DE) has remarkably increased in mechatronics because they are suitable candidates for energy harvesting due to their low...

renewable energy | stretch | Fluid- and Aerodynamics | Classical Mechanics | O343 | temperature | dielectric elastomer generator (DEG) | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74A10 | Partial Differential Equations | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Models | Energy efficiency | Dielectrics | Observations | Electric properties | Dielectric strength | Mechatronics | Flux density | Energy | Computer simulation | Weight reduction | Failure modes | Elastomers | Generators | Energy harvesting | Permittivity | Electrical faults

renewable energy | stretch | Fluid- and Aerodynamics | Classical Mechanics | O343 | temperature | dielectric elastomer generator (DEG) | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74A10 | Partial Differential Equations | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Models | Energy efficiency | Dielectrics | Observations | Electric properties | Dielectric strength | Mechatronics | Flux density | Energy | Computer simulation | Weight reduction | Failure modes | Elastomers | Generators | Energy harvesting | Permittivity | Electrical faults

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 9/2019, Volume 40, Issue 9, pp. 1335 - 1360

In this article, a formulation for a hollow cylinder reinforced with an electro-elastic layer is investigated. The hollow cylinder and its electro-elastic...

30E20 | Fluid- and Aerodynamics | Saint-Venant torsion | electro-elastic coating | stress intensity factor | Classical Mechanics | O343 | Mathematics | hollow cylinder | 74F15 | 74A45 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | electric displacement | 45E05 | multiple arbitrarily oriented cracks | Partial Differential Equations | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Cracks | Fourier transforms | Crack tips | Coating effects | Stress intensity factors | Elastic layers | Singular integral equations | Screw dislocations | Cylinders

30E20 | Fluid- and Aerodynamics | Saint-Venant torsion | electro-elastic coating | stress intensity factor | Classical Mechanics | O343 | Mathematics | hollow cylinder | 74F15 | 74A45 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | electric displacement | 45E05 | multiple arbitrarily oriented cracks | Partial Differential Equations | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Cracks | Fourier transforms | Crack tips | Coating effects | Stress intensity factors | Elastic layers | Singular integral equations | Screw dislocations | Cylinders

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 10/2019, Volume 40, Issue 10, pp. 1375 - 1386

Large deformation of a cantilever axially functionally graded (AFG) beam subject to a tip load is analytically studied using the homotopy analysis method...

Fluid- and Aerodynamics | Classical Mechanics | O343 | Mathematics | large deformation beam | axially functionally graded (AFG) material | 74K10 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | TB121 | homotopy analysis method (HAM) | Partial Differential Equations | Euler-Bernoulli beam | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Usage | Models | Mathematical models | Homotopy theory | Deformations (Mechanics) | Finite element method | Deformation analysis | Mathematical analysis | Exact solutions | Modulus of elasticity | Functionally gradient materials | Configurations | Cantilever beams

Fluid- and Aerodynamics | Classical Mechanics | O343 | Mathematics | large deformation beam | axially functionally graded (AFG) material | 74K10 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | TB121 | homotopy analysis method (HAM) | Partial Differential Equations | Euler-Bernoulli beam | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Usage | Models | Mathematical models | Homotopy theory | Deformations (Mechanics) | Finite element method | Deformation analysis | Mathematical analysis | Exact solutions | Modulus of elasticity | Functionally gradient materials | Configurations | Cantilever beams

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 10/2018, Volume 39, Issue 10, pp. 1453 - 1464

Intercalation of lithium ions into the electrodes of lithium ion batteries is affected by the stress of active materials, leading to energy dissipation and...

stress | electrochemical reaction | lithium ion battery | Classical Mechanics | O343 | voltage hysteresis | Mathematics | O241.82 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 65L12 | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Stress relieving (Materials) | Electrochemical reactions | Strains and stresses | Lithium cells | Properties | Observations | Stress relaxation (Materials) | Hysteresis | Lithium-ion batteries | Electrodes | Induced voltage | Stresses | Computer simulation | Energy dissipation | Lithium | Hysteresis models | Rechargeable batteries

stress | electrochemical reaction | lithium ion battery | Classical Mechanics | O343 | voltage hysteresis | Mathematics | O241.82 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 65L12 | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Stress relieving (Materials) | Electrochemical reactions | Strains and stresses | Lithium cells | Properties | Observations | Stress relaxation (Materials) | Hysteresis | Lithium-ion batteries | Electrodes | Induced voltage | Stresses | Computer simulation | Energy dissipation | Lithium | Hysteresis models | Rechargeable batteries

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 7/2018, Volume 39, Issue 7, pp. 981 - 992

This paper is devoted to analytical and numerical studies of global buckling of a sandwich circular plate. The mechanical properties of the plate core vary...

74E05 | global buckling | 74K20 | 74B05 | Classical Mechanics | sandwich circular plate | O343 | mathematical modeling | critical load | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Usage | Mathematical models | Plates (Engineering) | Analysis | Potential energy | Numerical analysis | Mathematical analysis | Circular plates | Numerical methods | Facings | Buckling | Material properties

74E05 | global buckling | 74K20 | 74B05 | Classical Mechanics | sandwich circular plate | O343 | mathematical modeling | critical load | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Usage | Mathematical models | Plates (Engineering) | Analysis | Potential energy | Numerical analysis | Mathematical analysis | Circular plates | Numerical methods | Facings | Buckling | Material properties

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 2016, Volume 37, Issue 4, pp. 529 - 554

The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic and orthotropic micro-plate based on the surface stress, the...

正交各向异性 | 非局部弹性理论 | 非线性屈曲分析 | 尺寸效应 | 微分求积法 | 微孔板 | 各向同性 | differential quadrature method (DQM) | O343 | 34B10 | Mathematics | biaxial and shear nonlinear buckling analysis | 74K20 | modified couple stress theory (MCST) | surface stress effect | nonlocal isotropic and orthotropic micro-plate | Mechanics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74G60 | 74B20 | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Stress relieving (Materials) | Composite materials | Strains and stresses | Analysis | Stress relaxation (Materials)

正交各向异性 | 非局部弹性理论 | 非线性屈曲分析 | 尺寸效应 | 微分求积法 | 微孔板 | 各向同性 | differential quadrature method (DQM) | O343 | 34B10 | Mathematics | biaxial and shear nonlinear buckling analysis | 74K20 | modified couple stress theory (MCST) | surface stress effect | nonlocal isotropic and orthotropic micro-plate | Mechanics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74G60 | 74B20 | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Mechanical properties | Stress relieving (Materials) | Composite materials | Strains and stresses | Analysis | Stress relaxation (Materials)

Journal Article

Applied mathematics and mechanics, ISSN 1573-2754, 11/2017, Volume 39, Issue 3, pp. 409 - 422

A field-modulated electroosmotic flow (FMEOF) in a microchannel can be obtained by applying modulating electric fields in a direction perpendicular to the...

74F05 | Classical Mechanics | O343 | dielectrophoretic | particle separation | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | electroosmotic | micro-vortex | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Vortex-motion | Electric fields | Analysis | Electrodes | Surface charge | Computational fluid dynamics | Vortices | Fluid flow | Dielectrophoresis | Continuous flow

74F05 | Classical Mechanics | O343 | dielectrophoretic | particle separation | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | electroosmotic | micro-vortex | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Vortex-motion | Electric fields | Analysis | Electrodes | Surface charge | Computational fluid dynamics | Vortices | Fluid flow | Dielectrophoresis | Continuous flow

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 2017, Volume 38, Issue 3, pp. 423 - 438

An axisymmetric tangent stress is applied to a lateral surface of a multilayeredelastic finite cylinder with a fixed bottom face. The problem is solved for an...

crack | multilayered | integral | equation | cylinder | circular | transformation | singularintegral | circular crack | Classical Mechanics | O343 | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74R10 | multilayered cylinder | integral transformation | singular integral equation | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Finite element method | Usage | Stress analysis (Engineering) | Methods | Shear modulus

crack | multilayered | integral | equation | cylinder | circular | transformation | singularintegral | circular crack | Classical Mechanics | O343 | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | 74R10 | multilayered cylinder | integral transformation | singular integral equation | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Finite element method | Usage | Stress analysis (Engineering) | Methods | Shear modulus

Journal Article

Applied mathematics and mechanics, ISSN 0253-4827, 2016, Volume 37, Issue 2, pp. 237 - 252

This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropie layers...

Saint-Venant torsion | coating layer | 13D30 | 74B05 | Classical Mechanics | O343 | Mathematics | 74G50 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | rectangular cross-section | torsional rigidity | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Fourier transformations | Usage | Torsion | Analysis | Mechanical properties | Reinforcing bars | Models | Mathematical models | Coatings | Thickness | Coating effects | Warping | Trigonometric functions | Cross sections | Substrates

Saint-Venant torsion | coating layer | 13D30 | 74B05 | Classical Mechanics | O343 | Mathematics | 74G50 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | rectangular cross-section | torsional rigidity | Mechanics | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Fourier transformations | Usage | Torsion | Analysis | Mechanical properties | Reinforcing bars | Models | Mathematical models | Coatings | Thickness | Coating effects | Warping | Trigonometric functions | Cross sections | Substrates

Journal Article

Applied Mathematics and Mechanics, ISSN 0253-4827, 2/2000, Volume 21, Issue 2, pp. 133 - 140

Based on the nonlinear geometric theory of extensible rods, an exact mathematical model of thermal post-buckling behavior of uniformly heated elastic rods with...

numerical solution | shooting method | thermal post-buckling | nonlinear mathematical model | O343 | Mechanics | Mathematics | elastic straight rod | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Shooting method | Nonlinear mathematical model | Numerical solution | Thermal post-buckling | Elastic straight rod | Physical Sciences | Mathematics, Applied | Technology | Science & Technology

numerical solution | shooting method | thermal post-buckling | nonlinear mathematical model | O343 | Mechanics | Mathematics | elastic straight rod | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | Shooting method | Nonlinear mathematical model | Numerical solution | Thermal post-buckling | Elastic straight rod | Physical Sciences | Mathematics, Applied | Technology | Science & Technology

Journal Article