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EFFECTIVE PERMEABILITY OF REGULAR ARRAYS AND WAVY CHANNELS 规则阵列和波状通道的有效渗透性
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020135
S. Gluzman
{"title":"EFFECTIVE PERMEABILITY OF REGULAR ARRAYS AND WAVY CHANNELS","authors":"S. Gluzman","doi":"10.1134/S0021894424020135","DOIUrl":"10.1134/S0021894424020135","url":null,"abstract":"<p>Various crossovers of the effective permeability of certain analytically treatable models of the Darcy flow in porous media are studied. They account for the critical behavior as well for the regimes with low concentrations of obstacles. Transverse permeability of spatially periodic arrays of impenetrable cylinders is found in an analytical form and accounts for various asymptotic regimes. Longitudinal permeability for a square array of cylinders is found as well. Transverse flows past hexagonal and square arrays of cylinders are also considered based on expansions for small concentrations and lubrication approximation for high concentrations of cylinders. Three-dimensional periodic arrays of spherical obstacles are considered as well. Formulas for the drag force exerted by various lattices of obstacles are derived from low-concentration expansions. The Stokes flow through two-dimensional and three-dimensional channels enclosed by two wavy walls is studied by means of expansions for small waviness amplitudes. Compact formulas for permeability are derived in the form of factor approximants for arbitrary values of waviness. Various power laws are accounted for in the regime of large waviness parameters, as well as the existing expansions at small amplitudes.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"308 - 323"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
JUSTIFICATION OF THE AVERAGED JOULE–LENZ LAW FOR COMPOSITE MATERIALS 复合材料平均焦耳-伦茨定律的合理性
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020123
I. V. Andrianov, A. G. Kolpakov, S. I. Rakin
{"title":"JUSTIFICATION OF THE AVERAGED JOULE–LENZ LAW FOR COMPOSITE MATERIALS","authors":"I. V. Andrianov,&nbsp;A. G. Kolpakov,&nbsp;S. I. Rakin","doi":"10.1134/S0021894424020123","DOIUrl":"10.1134/S0021894424020123","url":null,"abstract":"<p>It has been found that heat release in a homogenized composite model is described by the Joule–Lenz law for the averaged current strength and voltage. It has been shown that the local electric field strength and the local electric current in a real composite are usually significantly different from those in the homogenized model despite the fact that the electric field potentials in the homogenized model and the real composite are close.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"300 - 307"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ASYMPTOTIC MODEL OF A PIEZOELECTRIC COMPOSITE BEAM 压电复合梁的渐近模型
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020160
I. V. Andrianov, A. A. Kolpakov, L. Faella
{"title":"ASYMPTOTIC MODEL OF A PIEZOELECTRIC COMPOSITE BEAM","authors":"I. V. Andrianov,&nbsp;A. A. Kolpakov,&nbsp;L. Faella","doi":"10.1134/S0021894424020160","DOIUrl":"10.1134/S0021894424020160","url":null,"abstract":"<p>This paper presents a method of transforming from the three-dimensional piezoelastic problem for a composite material to the one-dimensional problem for a piezoelastic beam. This is done using the asymptotic homogenization technique based on the separation of fast and slow variables in the solution. A special feature of the problem is the presence of two small parameters, one of which characterizes the microstructure of the composite material, and the other defines the cross-sectional size. Homogenized relations describing the piezoelastic beam and fast correctors were obtained. Their joint use makes it possible to correctly describe the total stress-strain state of the original three-dimensional body. The proposed method is suitable for solving the three-dimensional problem of deformation of an extended body with an arbitrary periodic structure as well as for solving new problems (e.g., the torsion problem) that have no analogues in the theory of piezoelastic plates.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"345 - 353"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ALGORITHM FOR SOLVING UNILATERAL DISCRETE CONTACT PROBLEMS FOR A MULTILAYER ELASTIC STRIP 求解多层弹性条单边离散接触问题的算法
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020202
A. A. Bobylev
{"title":"ALGORITHM FOR SOLVING UNILATERAL DISCRETE CONTACT PROBLEMS FOR A MULTILAYER ELASTIC STRIP","authors":"A. A. Bobylev","doi":"10.1134/S0021894424020202","DOIUrl":"10.1134/S0021894424020202","url":null,"abstract":"<p>This paper touches upon problems of a rigid punch of finite dimensions with a surface microrelief pressed into a multilayer elastic strip. A Poincaré–Steklov operator that maps contact stresses into displacements is applied to present boundary variational formulations of these problems. This operator is approximated using the discrete Fourier transform. The transfer function is calculated using an algorithm based on the variational formulation of the boundary value problem for displacement transforms. The original contact problem is approximated in order to obtain a quadratic programming problem with constraints in the form of equalities and inequalities. Its numerical solution is performed using an algorithm based on the conjugate gradient method. Many contact interaction spots are established.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"382 - 392"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LONG-WAVE FLEXURAL VIBRATIONS AND DEFORMATION OF A SMALL-SIZE BEAM CONSIDERING SURFACE EFFECTS 考虑表面效应的小型横梁的长波挠性振动和变形
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020184
G. I. Mikhasev
{"title":"LONG-WAVE FLEXURAL VIBRATIONS AND DEFORMATION OF A SMALL-SIZE BEAM CONSIDERING SURFACE EFFECTS","authors":"G. I. Mikhasev","doi":"10.1134/S0021894424020184","DOIUrl":"10.1134/S0021894424020184","url":null,"abstract":"<p>A small-size elastic isotropic beam-strip loaded by variable body and surface forces is considered. On the front surfaces, surface shear stresses and inertia are taken into account within the framework of the Gurtin–Murdoch surface elasticity theory. Asymptotically correct equations describing the long-wavelength bending deformation of micro- and nano-beams taking into account shears and surface effects are derived by asymptotic integration of the two-dimensional elasticity equations over the strip thickness. The influence of surface stresses and inertia on the lower spectrum of natural vibrations of metal micro- and nano-beams is studied. It is shown that surface inertia has the same effect on the frequency spectrum of natural flexural vibrations as surface stresses.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"368 - 377"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effective Thermal Characteristics of Nanostructures in the Presence of Kapitza Resistance 存在卡皮察电阻时纳米结构的有效热特性
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-06-25 DOI: 10.1134/S0021894424020159
A. S. Starkov, I. A. Starkov
{"title":"Effective Thermal Characteristics of Nanostructures in the Presence of Kapitza Resistance","authors":"A. S. Starkov,&nbsp;I. A. Starkov","doi":"10.1134/S0021894424020159","DOIUrl":"10.1134/S0021894424020159","url":null,"abstract":"<div><p>The effective thermal characteristics of composite materials used in the theory of solidstate cooling are studied. Two classes of composites are considered: layered structures consisting of a large number of nano-sized layers and two-phase granular composites. It is assumed that the interfaces between media are imperfect. The Kapitza temperature jump occurs at the interfaces. The effective characteristics of layered structures are obtained using the matrix homogenization method. The homogenization of the characteristics of granular composites is based on the Bruggeman approach. Formulas taking into account the influence of the interlayer Kapitza resistance on the homogenized thermal characteristics of the structure are obtained. Expressions for average values of heat sources are derived.</p></div>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 2","pages":"336 - 344"},"PeriodicalIF":0.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DETERMINATION OF CAMOUFLET EXPLOSION PARAMETERS 确定迷彩爆炸参数
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-02-13 DOI: 10.1134/S0021894423060056
V. A. Sednev, S. L. Kopnyshev, A. V. Sednev
{"title":"DETERMINATION OF CAMOUFLET EXPLOSION PARAMETERS","authors":"V. A. Sednev,&nbsp;S. L. Kopnyshev,&nbsp;A. V. Sednev","doi":"10.1134/S0021894423060056","DOIUrl":"10.1134/S0021894423060056","url":null,"abstract":"<p>The centrally symmetric problem of determining the velocity field in a continuous elastoplastic medium during a camouflet explosion has been solved assuming that the motion is non-oscillatory nature and that the medium in the plastic and elastic regions is incompressible. The solution was found using the camouflet equation — the relation for determining the pressure on the contact surface of the expanding explosion cavity. The solution can be used to estimate the dimensions of the expansion and plastic deformation regions and the impact of explosive disturbances on objects.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 6","pages":"972 - 978"},"PeriodicalIF":0.5,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DETERMINATION OF GRAPHYNE ELASTICITY CONSTANTS BY THE MOLECULAR DYNAMICS METHOD 用分子动力学方法测定石墨烯弹性常数
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-02-13 DOI: 10.1134/S0021894423060202
P. V. Polyakova, R. T. Murzaev, J. A. Baimova
{"title":"DETERMINATION OF GRAPHYNE ELASTICITY CONSTANTS BY THE MOLECULAR DYNAMICS METHOD","authors":"P. V. Polyakova,&nbsp;R. T. Murzaev,&nbsp;J. A. Baimova","doi":"10.1134/S0021894423060202","DOIUrl":"10.1134/S0021894423060202","url":null,"abstract":"<p>The molecular dynamics method is applied to calculate the stiffness constants of five structural configurations of graphyne. The latter is a carbon monolayer in which the atoms are arranged in a special way and characterized by <span>(sp)</span>- and <span>(sp^2)</span>-hybritization. It is revealed that the atom arrangement in a graphyne layer has a significant effect on the stiffness constants. It is determined that <span>(gamma_2)</span>-graphyne has the highest stiffness constant <span>(c_{11})</span> (1091 GPa) and that <span>(alpha)</span>-graphyne has the smallest one (258 GPa). As shown in the study, <span>(beta_3)</span>- and <span>(gamma_2)</span>-graphyne are highly anisotropic structures.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 6","pages":"1097 - 1099"},"PeriodicalIF":0.5,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
CALCULATION OF THE LINEAR STABILITY OF LIQUID FLOW IN A FLAT CHANNEL WITH STREAMWISE WAVY WALLS 计算带波浪形流壁的平槽中液体流动的线性稳定性
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-02-13 DOI: 10.1134/S0021894423060093
Yu. Ya. Trifonov
{"title":"CALCULATION OF THE LINEAR STABILITY OF LIQUID FLOW IN A FLAT CHANNEL WITH STREAMWISE WAVY WALLS","authors":"Yu. Ya. Trifonov","doi":"10.1134/S0021894423060093","DOIUrl":"10.1134/S0021894423060093","url":null,"abstract":"<p>The full Navier–Stokes equations are used to study the linear stability of plane Poiseuille flow in a channel with the lower wall corrugated along the flow, due to which the flow has two velocity components. A generalized eigenvalue problem is solved numerically. Three types of perturbations are considered: plane periodic (zero Floquet parameter), plane doubly periodic (finite values of the Floquet parameter), and spatial perturbations. Neutral curves are analyzed in a wide range of the corrugation parameter and Reynolds number. It is found that the critical Reynolds number above which time-growing perturbations appear depends in a complex way on the dimensionless amplitude and period of corrugation. It is shown that in the case of flow in a channel with corrugated wall, three-dimensional perturbations are usually more dangerous. The exception is the small amplitude of corrugation at which plane perturbations are more dangerous.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 6","pages":"1000 - 1010"},"PeriodicalIF":0.5,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EFFECT OF INTERNAL PYLONS ON THE PARAMETERS OF THE JET FLOW IN A NOZZLE WITH A CENTRAL BODY 内塔对带中心体喷嘴中射流参数的影响
IF 0.5 4区 工程技术
Journal of Applied Mechanics and Technical Physics Pub Date : 2024-02-13 DOI: 10.1134/S0021894423060160
N. P. Kiselev, I. N. Kavun, V. I. Zapryagaev, R. A. Styazhkin
{"title":"EFFECT OF INTERNAL PYLONS ON THE PARAMETERS OF THE JET FLOW IN A NOZZLE WITH A CENTRAL BODY","authors":"N. P. Kiselev,&nbsp;I. N. Kavun,&nbsp;V. I. Zapryagaev,&nbsp;R. A. Styazhkin","doi":"10.1134/S0021894423060160","DOIUrl":"10.1134/S0021894423060160","url":null,"abstract":"<p>A high-velocity flow in an axisymmetric nozzle containing a central body and pylons is studied. The influence of the geometry of the main and additional pylons on the gas-dynamic and thrust characteristics at the nozzle exit in the flow regime with <span>(n_{pr}= 2.25)</span> (<span>(n_{pr})</span> is the ratio of the pressure in the settling chamber to the ambient pressure) is determined. Azimuthal nonuniformity of the flow at the nozzle exit is detected. The maximum azimuthal nonuniformity is observed in the wake behind the pylons. It is shown that a three-dimensional transonic flow is formed in the nozzle duct with the pylons mounted in the minimum free cross section; local supersonic regions closed by weak shock waves are formed in this flow. It is found that the formation of such a shock wave structure is responsible for nozzle thrust reduction by 12%.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"64 6","pages":"1058 - 1067"},"PeriodicalIF":0.5,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139752086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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