Pub Date : 2025-03-04DOI: 10.1016/j.mechrescom.2025.104384
Jérôme Colin
The equilibrium positions of a dipole of edge dislocations embedded in a free-standing layer and symmetrically distributed with respect to the structure center has been theoretically investigated from a Peach–Koehler force analysis. A critical “size” ratio between the dislocation spacing and the layer thickness has been determined below which, in addition to the aligned stable configuration, two shifted dislocation configurations are present, one stable and one unstable. Beyond this critical ratio, only the unstable aligned configuration remains, demonstrating the combined effect of the spatial confinement and dislocation spacing on the dipole stability.
{"title":"Dislocation dipole confinement in a free-standing layer","authors":"Jérôme Colin","doi":"10.1016/j.mechrescom.2025.104384","DOIUrl":"10.1016/j.mechrescom.2025.104384","url":null,"abstract":"<div><div>The equilibrium positions of a dipole of edge dislocations embedded in a free-standing layer and symmetrically distributed with respect to the structure center has been theoretically investigated from a Peach–Koehler force analysis. A critical “size” ratio between the dislocation spacing and the layer thickness has been determined below which, in addition to the aligned stable configuration, two shifted dislocation configurations are present, one stable and one unstable. Beyond this critical ratio, only the unstable aligned configuration remains, demonstrating the combined effect of the spatial confinement and dislocation spacing on the dipole stability.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104384"},"PeriodicalIF":1.9,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143548557","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}
Acoustoelasticity theory has been widely used to evaluate the residual stress (or prestress), almost all the available ultrasonic stress detection methods are based on the relationship between the magnitude of stress and wave speed, but these measurement methods make the assumption that the stress is uniform, only one point or average stress in the direction of ultrasound propagation can be obtained. However, the real stress distribution is usually nonuniform. In order to obtain the stress distribution in the direction of ultrasound propagation, in this paper, we propose a new approach: the inversion of residual stress. In the theory part, the inversion of residual stress is transformed into an optimization problem. The objective function is established, and the gradient of the objective function to the stress is derived using the adjoint method, which has been maturely applied in full waveform inversion. In the numerical simulation part, the welding process is simulated using the finite element method to obtain a database of the residual stress field. Then the residual stress is evaluated by inversion approach and the influence of the number of sources and receivers and the frequency of the excitation wave on the inversion effect is discussed. The results show that the inversion of residual stress is still challenging with a small amount of data, but a more accurate inversion can be obtained by appropriately increasing the number of sources and receivers. This study provides an appropriate method for the evaluation of residual stress distribution and lays the theoretical and simulation foundation for the application of ultrasonic stress testing in it.
{"title":"A new approach for the inversion of residual stress based on acoustoelasticity theory and full waveform inversion","authors":"Maoyu Xu , Hongjian Zhao , Changsheng Liu , Yu Zhan","doi":"10.1016/j.mechrescom.2025.104399","DOIUrl":"10.1016/j.mechrescom.2025.104399","url":null,"abstract":"<div><div>Acoustoelasticity theory has been widely used to evaluate the residual stress (or prestress), almost all the available ultrasonic stress detection methods are based on the relationship between the magnitude of stress and wave speed, but these measurement methods make the assumption that the stress is uniform, only one point or average stress in the direction of ultrasound propagation can be obtained. However, the real stress distribution is usually nonuniform. In order to obtain the stress distribution in the direction of ultrasound propagation, in this paper, we propose a new approach: the inversion of residual stress. In the theory part, the inversion of residual stress is transformed into an optimization problem. The objective function is established, and the gradient of the objective function to the stress is derived using the adjoint method, which has been maturely applied in full waveform inversion. In the numerical simulation part, the welding process is simulated using the finite element method to obtain a database of the residual stress field. Then the residual stress is evaluated by inversion approach and the influence of the number of sources and receivers and the frequency of the excitation wave on the inversion effect is discussed. The results show that the inversion of residual stress is still challenging with a small amount of data, but a more accurate inversion can be obtained by appropriately increasing the number of sources and receivers. This study provides an appropriate method for the evaluation of residual stress distribution and lays the theoretical and simulation foundation for the application of ultrasonic stress testing in it.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104399"},"PeriodicalIF":1.9,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143548556","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}
Pub Date : 2025-03-01DOI: 10.1016/j.mechrescom.2025.104390
Mohd Sadab, Santimoy Kundu
This study explores the strain gradient and surface effects on the dispersion behavior of Love waves in piezoelectric–piezomagnetic composite structures. The interface between these two media is imperfectly connected. The dynamic governing equations are derived from the strain gradient electro-magnetoelastic theory by adding characteristic length scale parameters. Maxwell’s equation for the electric and magnetic potential are simultaneously solved across each domain, yielding a comprehensive analytical solution. The dispersion relation is obtained by applying admissible boundary conditions to determine fundamental physical quantities. The key contribution of the present work is to demonstrate the influence of strain gradient parameters, surface parameters, imperfection between the interface, and piezomagnetic substrate properties on the dimensionless phase velocity with respect to the frequency.
{"title":"Dispersive wave propagation in piezoelectric–piezomagnetic imperfectly bonded media with surface effects based on strain gradient theory","authors":"Mohd Sadab, Santimoy Kundu","doi":"10.1016/j.mechrescom.2025.104390","DOIUrl":"10.1016/j.mechrescom.2025.104390","url":null,"abstract":"<div><div>This study explores the strain gradient and surface effects on the dispersion behavior of Love waves in piezoelectric–piezomagnetic composite structures. The interface between these two media is imperfectly connected. The dynamic governing equations are derived from the strain gradient electro-magnetoelastic theory by adding characteristic length scale parameters. Maxwell’s equation for the electric and magnetic potential are simultaneously solved across each domain, yielding a comprehensive analytical solution. The dispersion relation is obtained by applying admissible boundary conditions to determine fundamental physical quantities. The key contribution of the present work is to demonstrate the influence of strain gradient parameters, surface parameters, imperfection between the interface, and piezomagnetic substrate properties on the dimensionless phase velocity with respect to the frequency.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104390"},"PeriodicalIF":1.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143535029","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}
Pub Date : 2025-03-01DOI: 10.1016/j.mechrescom.2025.104391
Zhenghao Yang , Konstantin Naumenko , Guozhao Dai , Nan-You Lu
The aim of this paper is to develop semi-analytical solutions for double cantilever beam (DCB) problems using eigenfunction series expansions. This approach provides explicit expressions for deflection as a function of the axial coordinate for various traction–separation laws (TSL) and different external loading conditions. For a given cohesive zone length, the solutions are presented in a closed analytical form. Once the deflection function is derived, the length of the interaction zone is related to TSL parameters, bending stiffness, and applied loads through transcendental equations, which are solved numerically. To validate the accuracy of the derived expressions, results are compared with numerical solutions obtained via finite element analysis. The good agreement observed between the analytical and numerical solutions confirms the robustness of the proposed method and its ability to accurately capture both global (deflection) and local (cohesive traction distribution) behavior. Compared to general solutions for semi-infinite beams found in the literature, eigenfunction series offer greater flexibility, accommodating a wider range of boundary conditions and loading types.
{"title":"Series solutions to elastic opening of double cantilever beam for several traction–separation laws","authors":"Zhenghao Yang , Konstantin Naumenko , Guozhao Dai , Nan-You Lu","doi":"10.1016/j.mechrescom.2025.104391","DOIUrl":"10.1016/j.mechrescom.2025.104391","url":null,"abstract":"<div><div>The aim of this paper is to develop semi-analytical solutions for double cantilever beam (DCB) problems using eigenfunction series expansions. This approach provides explicit expressions for deflection as a function of the axial coordinate for various traction–separation laws (TSL) and different external loading conditions. For a given cohesive zone length, the solutions are presented in a closed analytical form. Once the deflection function is derived, the length of the interaction zone is related to TSL parameters, bending stiffness, and applied loads through transcendental equations, which are solved numerically. To validate the accuracy of the derived expressions, results are compared with numerical solutions obtained via finite element analysis. The good agreement observed between the analytical and numerical solutions confirms the robustness of the proposed method and its ability to accurately capture both global (deflection) and local (cohesive traction distribution) behavior. Compared to general solutions for semi-infinite beams found in the literature, eigenfunction series offer greater flexibility, accommodating a wider range of boundary conditions and loading types.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104391"},"PeriodicalIF":1.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143535030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-26DOI: 10.1016/j.mechrescom.2025.104400
Francesco Marchione
In the present study, shear tests were carried out on double-lap adhesive joints between glass and PVC adherends to investigate their mechanical behaviour and to verify the effectiveness of steel reinforcement – with different thicknesses – for the inner PVC adherend. In particular, two different commercially available structural epoxy adhesives as well as glass and PVC adherends were used in the bonded joints. The first part of the study illustrates the analytical model used to calculate the stress distribution in the adhesives and bonded joints. The second part analyses the mechanical properties of the materials used, which were tested experimentally. The third part illustrates the results obtained on double-lap joints in classical and reinforced configurations. The results show that it is possible to improve the mechanical behaviour of the joint in terms of strength and stiffness. It is shown both experimentally and analytically that the use of thicker steel reinforcements does not lead to further significant improvements. The best mechanical performance is achieved in each configuration by the first epoxy adhesive. As far as the failure modes are concerned, while in the unreinforced configurations one observes the failure of the loaded adherend (“Stock-Break” Failure), in the reinforced joints only “Glass Failure” mode are observed, which is due to the different transfer of stresses.
{"title":"Experimental and analytical investigation on the shear performance of double-lap adhesive joints with multi-layered adherends","authors":"Francesco Marchione","doi":"10.1016/j.mechrescom.2025.104400","DOIUrl":"10.1016/j.mechrescom.2025.104400","url":null,"abstract":"<div><div>In the present study, shear tests were carried out on double-lap adhesive joints between glass and PVC adherends to investigate their mechanical behaviour and to verify the effectiveness of steel reinforcement – with different thicknesses – for the inner PVC adherend. In particular, two different commercially available structural epoxy adhesives as well as glass and PVC adherends were used in the bonded joints. The first part of the study illustrates the analytical model used to calculate the stress distribution in the adhesives and bonded joints. The second part analyses the mechanical properties of the materials used, which were tested experimentally. The third part illustrates the results obtained on double-lap joints in classical and reinforced configurations. The results show that it is possible to improve the mechanical behaviour of the joint in terms of strength and stiffness. It is shown both experimentally and analytically that the use of thicker steel reinforcements does not lead to further significant improvements. The best mechanical performance is achieved in each configuration by the first epoxy adhesive. As far as the failure modes are concerned, while in the unreinforced configurations one observes the failure of the loaded adherend (“Stock-Break” Failure), in the reinforced joints only “Glass Failure” mode are observed, which is due to the different transfer of stresses.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104400"},"PeriodicalIF":1.9,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527036","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}
Pub Date : 2025-02-25DOI: 10.1016/j.mechrescom.2025.104389
C.W. Zhu , W. Kaddouri , T. Kanit , Q. Jiang , S. Ounaies
In this paper, a two–phase composite material consisting of negative Poisson's ratio elastic material is considered. The effective elastic properties (bulk modulus, shear modulus and Poisson's ratio) of two–dimensional heterogeneous materials are estimated by the finite element numerical homogenization technique. To this end, three constructs were used to investigate the effect of auxetic behavior on effective properties. The matrix of the first structure has auxetic behavior, Negative Poisson's Ratio NPR, the circular inclusions are elastic with Positive Poisson's Ratio PPR. The inclusions of another structure are circular auxetic material, the matrix is elastic material. The last case is that both matrix and inclusions possess auxetic property. And taking into account five different volume fractions from each case. The concept of Representative Volume Element RVE is introduced, in which the homogenization numerical simulation based on finite element is carried out. The effectiveness of numerical calculation is verified by applying two boundary, periodic boundary conditions and kinematic uniform boundary conditions. We demonstrate that by mixing auxetic and non–auxetic phases into composites, it is possible to preserve some of the unique properties of auxetic materials while enhancing the unique properties of traditional single–phase materials. The strengthening effect is controlled by Poisson's ratio of each phase, elastic modulus, and shape of inclusions. Studying the strengthening effect of composite auxetic materials can provide a reference for designing composite materials with new properties.
{"title":"Effect of auxetic behavior on effective properties of composite materials","authors":"C.W. Zhu , W. Kaddouri , T. Kanit , Q. Jiang , S. Ounaies","doi":"10.1016/j.mechrescom.2025.104389","DOIUrl":"10.1016/j.mechrescom.2025.104389","url":null,"abstract":"<div><div>In this paper, a two–phase composite material consisting of negative Poisson's ratio elastic material is considered. The effective elastic properties (bulk modulus, shear modulus and Poisson's ratio) of two–dimensional heterogeneous materials are estimated by the finite element numerical homogenization technique. To this end, three constructs were used to investigate the effect of auxetic behavior on effective properties. The matrix of the first structure has auxetic behavior, Negative Poisson's Ratio NPR, the circular inclusions are elastic with Positive Poisson's Ratio PPR. The inclusions of another structure are circular auxetic material, the matrix is elastic material. The last case is that both matrix and inclusions possess auxetic property. And taking into account five different volume fractions from each case. The concept of Representative Volume Element RVE is introduced, in which the homogenization numerical simulation based on finite element is carried out. The effectiveness of numerical calculation is verified by applying two boundary, periodic boundary conditions and kinematic uniform boundary conditions. We demonstrate that by mixing auxetic and non–auxetic phases into composites, it is possible to preserve some of the unique properties of auxetic materials while enhancing the unique properties of traditional single–phase materials. The strengthening effect is controlled by Poisson's ratio of each phase, elastic modulus, and shape of inclusions. Studying the strengthening effect of composite auxetic materials can provide a reference for designing composite materials with new properties.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104389"},"PeriodicalIF":1.9,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-19DOI: 10.1016/j.mechrescom.2025.104387
K.B. Sabitov, A.G. Khakimov
The spectrum of frequencies and shapes of bending vibrations of a rectangular plates in contact with a liquid or gas is determined. A derivation of the expression for the distributed transverse load on a plate hinged along the contour is given. The surfaces of the plate are in contact with media of different densities and pressures. The medium can be compressible during surface deformation and incompressible. The influence on bending of the interaction of average pressure and curvature change of the middle surface, as well as the added mass of the gaseous medium, is determined.
{"title":"Determining the spectrum of frequencies and vibrations rectangular plates, hinged at the edge in different medium.","authors":"K.B. Sabitov, A.G. Khakimov","doi":"10.1016/j.mechrescom.2025.104387","DOIUrl":"10.1016/j.mechrescom.2025.104387","url":null,"abstract":"<div><div>The spectrum of frequencies and shapes of bending vibrations of a rectangular plates in contact with a liquid or gas is determined. A derivation of the expression for the distributed transverse load on a plate hinged along the contour is given. The surfaces of the plate are in contact with media of different densities and pressures. The medium can be compressible during surface deformation and incompressible. The influence on bending of the interaction of average pressure and curvature change of the middle surface, as well as the added mass of the gaseous medium, is determined.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104387"},"PeriodicalIF":1.9,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508290","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}
Pub Date : 2025-02-16DOI: 10.1016/j.mechrescom.2025.104388
M.M. Fridman , I. Elishakoff , Y. Ribakov
The present study is focused on optimal design of bending reinforced concrete elements and structures working in aggressive environments. A peculiarity of this research is checking the possibility of direct application of Dolinsky's corrosion model to the reinforcement which is considered as a round section rod loaded by axial tensile force. The model considers the influence of the stress state in the rod on the corrosion kinetics. The objective function is the initial cost of a unit length of a reinforced concrete element, consisting of the reinforcement and concrete costs. The initial dimensions of the reinforced concrete element rectangular section, as well as the number of reinforcement bars, are optimized. Taking into account corrosion, using the Dolinsky model, applied directly to reinforcement, allows assessing the dynamics in the corrosion process during a given period of the structure operation, as well as predicting an increase in its initial cost.
{"title":"Optimal design of reinforced concrete structures in reinforcement corrosive wear conditions","authors":"M.M. Fridman , I. Elishakoff , Y. Ribakov","doi":"10.1016/j.mechrescom.2025.104388","DOIUrl":"10.1016/j.mechrescom.2025.104388","url":null,"abstract":"<div><div>The present study is focused on optimal design of bending reinforced concrete elements and structures working in aggressive environments. A peculiarity of this research is checking the possibility of direct application of Dolinsky's corrosion model to the reinforcement which is considered as a round section rod loaded by axial tensile force. The model considers the influence of the stress state in the rod on the corrosion kinetics. The objective function is the initial cost of a unit length of a reinforced concrete element, consisting of the reinforcement and concrete costs. The initial dimensions of the reinforced concrete element rectangular section, as well as the number of reinforcement bars, are optimized. Taking into account corrosion, using the Dolinsky model, applied directly to reinforcement, allows assessing the dynamics in the corrosion process during a given period of the structure operation, as well as predicting an increase in its initial cost.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104388"},"PeriodicalIF":1.9,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143479997","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}
Ultrasonic-guided waves have become a widely used technique for rapid and long-distance detection of rails due to their long propagation length and wide detection range. The single-guided wave mode shows remarkable signal processing and damage identification prospects. This study proposes a novel excitation method for a unitary guided wave mode in rails with a variable cross-section using semi-analytical finite element and normal mode expansion. This method proposes the optimum location for exciting guided wave mode. Furthermore, the excitation method is verified using finite element simulation, demonstrating its capability to excite a unitary guided wave mode. In summary, the proposed method guides the excitation strategy of a unitary guided wave mode during damage detection and holds the potential for non-destructive testing and structural health monitoring.
{"title":"Excitation method of guided wave modes in turnout rails with variable cross-section by applied surface tractions","authors":"Zhongyi Zhang , Fengzhuang Tong , Haoxiang Gao , Shuaijie Miao , Chengyang Hu","doi":"10.1016/j.mechrescom.2025.104385","DOIUrl":"10.1016/j.mechrescom.2025.104385","url":null,"abstract":"<div><div>Ultrasonic-guided waves have become a widely used technique for rapid and long-distance detection of rails due to their long propagation length and wide detection range. The single-guided wave mode shows remarkable signal processing and damage identification prospects. This study proposes a novel excitation method for a unitary guided wave mode in rails with a variable cross-section using semi-analytical finite element and normal mode expansion. This method proposes the optimum location for exciting guided wave mode. Furthermore, the excitation method is verified using finite element simulation, demonstrating its capability to excite a unitary guided wave mode. In summary, the proposed method guides the excitation strategy of a unitary guided wave mode during damage detection and holds the potential for non-destructive testing and structural health monitoring.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104385"},"PeriodicalIF":1.9,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378419","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}
Pub Date : 2025-02-07DOI: 10.1016/j.mechrescom.2025.104386
Igor V. Andrianov , Vladyslav V. Danishevskyy , Julius Kaplunov
The study of long-wave propagation in lattices or in composite and layered structures is usually carried out using a single small parameter characterising the ratio of the wavelength to some characteristic size. Ratios of rigidity or density parameters are assumed to be of the order of unity. In reality, this is a multi-parameter problem, and the play of parameters often makes it possible to single out non-trivial limit systems. In particular, for high-contrast composite and layered structures, low-frequency regime, in which stiffer components do not prevent wave propagation across the thickness of weaker ones, has been revealed, in addition to the more traditional global low-frequency regime. This paper is devoted to the investigation of the existence of such regimes for a high-contrast plane orthotropic lattice. The ratios of masses and stiffness's of springs are analysed, under which the existence of in-phase and anti-phase modes of vibrations in the same frequency range is possible.
{"title":"Low-frequency vibrations of a high-contrast orthotropic lattice","authors":"Igor V. Andrianov , Vladyslav V. Danishevskyy , Julius Kaplunov","doi":"10.1016/j.mechrescom.2025.104386","DOIUrl":"10.1016/j.mechrescom.2025.104386","url":null,"abstract":"<div><div>The study of long-wave propagation in lattices or in composite and layered structures is usually carried out using a single small parameter characterising the ratio of the wavelength to some characteristic size. Ratios of rigidity or density parameters are assumed to be of the order of unity. In reality, this is a multi-parameter problem, and the play of parameters often makes it possible to single out non-trivial limit systems. In particular, for high-contrast composite and layered structures, low-frequency regime, in which stiffer components do not prevent wave propagation across the thickness of weaker ones, has been revealed, in addition to the more traditional global low-frequency regime. This paper is devoted to the investigation of the existence of such regimes for a high-contrast plane orthotropic lattice. The ratios of masses and stiffness's of springs are analysed, under which the existence of in-phase and anti-phase modes of vibrations in the same frequency range is possible.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104386"},"PeriodicalIF":1.9,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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