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Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces 被引量:2
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作者 Changda Wang Xuejun Chen +1 位作者 Peijun Wei Yueqiu Li 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2017年第6期1022-1039,共18页
The reflection and transmission of elastic waves through a couple-stress elastic slab that is sandwiched between two couple-stress elastic half-spaces are studied in this paper. Because of the couple-stress effects, t... The reflection and transmission of elastic waves through a couple-stress elastic slab that is sandwiched between two couple-stress elastic half-spaces are studied in this paper. Because of the couple-stress effects, there are three types of elastic waves in the couple-stress elastic solid, two of which are dispersive. The interface conditions between two couple-stress solids involve the surface couple and rotation apart from the surface traction and displacement. The nontraditional interface conditions between the slab and two solid half-spaces are used to obtain the linear algebraic equation sets from which the amplitude ratios of reflection and transmission waves to the incident wave can be determined. Then,the energy fluxes carried by the various reflection and transmission waves are calculated numerically and the normal energy flux conservation is used to validate the numerical results. The special case, couple-stress elastic slab sandwiched by the classical elastic half-spaces, is also studied and compared with the situation that the classical elastic slab sandwiched by the classical elastic half-spaces. Incident longitudinal wave(P wave) and incident transverse wave(SV wave) are both considered. The influences of the couplestress are mainly discussed based on the numerical results.It is found that the couple-stress mainly influences the transverse modes of elastic waves. 展开更多
关键词 Reflection/transmission Sandwiched slab couple-stress Energy flux Multiple reflection/transmission
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INFLUENCE OF COUPLE-STRESSES ON STRESS CONCENTRATIONS AROUND THE CAVITY
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作者 赵俭斌 李子国 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第8期893-900,共8页
The complex function method was used in the solution of micropolar elasticity theory around cavity in an infinite elasticity plane. In complex plane, the general solution of two dimension micropolar elasticity theory ... The complex function method was used in the solution of micropolar elasticity theory around cavity in an infinite elasticity plane. In complex plane, the general solution of two dimension micropolar elasticity theory is given. The solution comes from analytic function and 'Zonal Function'. The boundary conditions of non-circular cavity are satisfied by using the conformal mapping method. Based on the method, a general approach solving the stress concentration in micropolar elasticity theory is established. Finally, the numerical calculation is carried out to the stress concentration coefficient of circular cavity. 展开更多
关键词 micropolar elasticity theory stress concentration complex function conformal mapping couple-stresses
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Effect of Magnetic Field on Kelvin-Helmholtz Instability in a Couple-Stress Fluid Layer Bounded Above by a Porous Layer and Below by a Rigid Surface
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作者 Krishna B. Chavaraddi Vishwanath B. Awati +1 位作者 Nagaraj N. Katagi Priya M. Gouder 《Applied Mathematics》 2016年第16期2021-2032,共13页
Kelvin-Helmholtz instability (KHI) appears in stratified two-fluid flow at surface. When the relative velocity is higher than the critical relative velocity, the growth of waves occurs. It is found that magnetic field... Kelvin-Helmholtz instability (KHI) appears in stratified two-fluid flow at surface. When the relative velocity is higher than the critical relative velocity, the growth of waves occurs. It is found that magnetic field has a stabilization effect whereas the buoyancy force has a destabilization effect on the KHI in the presence of sharp inter-face. The RT instability increases with wave number and flow shear, and acts much like a KHI when destabilizing effect of sheared flow dominates. It is shown that both of ablation velocity and magnetic field have stabilization effect on RT instability in the presence of continued interface. In this paper, we study the effect of magnetic field on Kelvin-Helmholtz instability (KHI) in a Couple-stress fluid layer above by a porous layer and below by a rigid surface. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of KHI. We replace the effect of boundary layer with Beavers and Joseph slip condition at the rigid surface. The dispersion relation is derived using suitable boundary and surface conditions and results are discussed graphically. The stabilization effect of magnetic field takes place for whole waveband and becomes more significant for the short wavelength. The growth rate decreases as the density scale length increases. The stabilization effect of magnetic field is more significant for the short density scale length. 展开更多
关键词 KHI Magnetic Field couple-stress Fluid Layer BJ-Slip Condition Porous Layer Dispersion Relation
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Solutions Of Boundary-Value Problems of the Generalized Theory of Couple-Stress Thermodiffusion
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作者 Manana Chumburidze David Lekveishvili ZurabKhurcia 《Journal of Mathematics and System Science》 2013年第7期365-370,共6页
We have considered the basic dynamic homogeneous system of partial differential equations of generalized Green-Lindsay couple-stress thermodiffusion on the plane for homogeneous, isotropic elastic media with the centr... We have considered the basic dynamic homogeneous system of partial differential equations of generalized Green-Lindsay couple-stress thermodiffusion on the plane for homogeneous, isotropic elastic media with the centre of symmetry. We have constructed regular solution of the boundary problems on the line. In the works are obtained in quadrates the solution of the boundary-value problem of the generalized Green-Lindsay theory of couple-stress thermodiffusion, when on border of area are given: the component of normal of displacement vector, the component of touching of stress vector, rotations, flow of heat and flow of diffusion. 展开更多
关键词 couple-stress THERMODIFFUSION stress vector flow of diffusion flow of heat rotations.
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The size-dependent elastohydrodynamic lubrication contact of a coated half-plane with non-Newtonian fluid
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作者 Jie SU Hongxia SONG +1 位作者 Liaoliang KE S.M.AIZIKOVICH 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2021年第7期915-930,共16页
Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size effect.The lubricant between the contact surface of a homogeneous coated half-plane and a r... Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size effect.The lubricant between the contact surface of a homogeneous coated half-plane and a rigid punch is supposed to be the non-Newtonian fluid.The density and viscosity of the lubricant are dependent on fluid pressure.Distributions of film thickness,in-plane stress,and fluid pressure are calculated by solving the nonlinear fluid-solid coupled equations with an iterative method.The effects of the punch radius,size parameter,coating thickness,slide/roll ratio,entraining velocity,resultant normal load,and stiffness ratio on lubricant film thickness,in-plane stress,and fluid pressure are investigated.The results demonstrate that fluid pressure and film thickness are obviously dependent on the size parameter,stiffness ratio,and coating thickness. 展开更多
关键词 elastohydrodynamic lubrication(EHL) non-Newtonian fluid size effect couple-stress theory coating
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