Archive of Applied Mechanics最新文献

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Numerical investigation of porous bi-directional functionally graded plates with variable thickness using a Trefftz-based approach 基于trefftz方法的多孔双向变厚度功能梯度板数值研究
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-09 DOI: 10.1007/s00419-025-02869-6
Ali Reza Motamedi, Nima Noormohammadi, Bijan Boroomand
{"title":"Numerical investigation of porous bi-directional functionally graded plates with variable thickness using a Trefftz-based approach","authors":"Ali Reza Motamedi,&nbsp;Nima Noormohammadi,&nbsp;Bijan Boroomand","doi":"10.1007/s00419-025-02869-6","DOIUrl":"10.1007/s00419-025-02869-6","url":null,"abstract":"<div><p>In this paper, flexural behavior of functionally graded (FG) and bi-directional functionally graded (BDFG) porous composite plates with variable thickness is analyzed by developing a novel meshfree method based on Trefftz attitude. Classical, first- and third-order shear deformation theories are applied to the formulation. The developed Trefftz-based method creates exclusive basis functions capable of satisfying the equilibrium by means of weighted residual imposition of the equation, thus enhancing the accuracy of the results. The solution function has complete continuity, which paces up its convergence. The integration is performed analytically independent of the domain shape, thus removing the need for numerical quadrature throughout the solution procedure. For more versatility, a domain decomposition approach is developed with up-to-desired order of continuity, leading to considerable mesh reduction compared with mesh-based methods. Derived in one step, the overall multi-domain solution does not need repetitive approaches to converge. Because of independent satisfaction of the equilibrium by the basis functions, the boundary and continuity conditions may be imposed in point-wise style, removing the cumbersome boundary integration. Simultaneous in-plane and transverse graded variation of the material properties and porosity is considered. Verification of new results by 3D finite element solution reveals high accuracy and efficiency of the method. Comprehensive parametric study is also performed for FG and BDFG porous plates with various distributions and variable thickness.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A predictive model for average fragment size in rock dynamic fragmentation based on crack interactions 基于裂纹相互作用的岩石动态破碎平均破碎尺寸预测模型
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-09 DOI: 10.1007/s00419-025-02867-8
Yanjie Feng, Chengzhi Qi, Xiaoyu Ma, Zefan Wang, Fa Zhao, Siyu Wu
{"title":"A predictive model for average fragment size in rock dynamic fragmentation based on crack interactions","authors":"Yanjie Feng,&nbsp;Chengzhi Qi,&nbsp;Xiaoyu Ma,&nbsp;Zefan Wang,&nbsp;Fa Zhao,&nbsp;Siyu Wu","doi":"10.1007/s00419-025-02867-8","DOIUrl":"10.1007/s00419-025-02867-8","url":null,"abstract":"<div><p>Understanding crack dynamics across multiple scales in rock masses is crucial for revealing the mechanisms of rock dynamic fragmentation. This study develops a novel predictive framework for estimating average fragment size through the synergistic integration of two mechanics-based models, the dynamic wing crack propagation model and the dynamic column buckling instability model, with a particular emphasis on multiscale crack interactions. We systematically investigate how the strain rate and initial crack concentration influence the dynamic strength properties and fragmentation patterns. Key findings show that increasing the strain rate increases the dynamic strength while decreasing the average fragment size. Significantly, rock strength is reduced when double-scale crack interactions are considered compared to single-scale analyses. Progressively increasing the initial crack concentration asymptotically reduces the dynamic strength towards a threshold value, accompanied by a corresponding reduction in fragment size. Notably, the model predictions align well with the experimental data, highlighting the effectiveness of the proposed methodology in capturing the key physics of rock fragmentation processes. These findings offer valuable insights for optimizing rock fragmentation strategies in engineering applications.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Study on fatigue crack growth behavior of Al 6061-T6 alloy with inclined crack 倾斜裂纹Al 6061-T6合金疲劳裂纹扩展行为研究
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-09 DOI: 10.1007/s00419-025-02866-9
Ruoping Zhang, Yongfang Li, Hao Chen, Yali Yang, Sha Xu, Mingming Ren, Shusheng Lv
{"title":"Study on fatigue crack growth behavior of Al 6061-T6 alloy with inclined crack","authors":"Ruoping Zhang,&nbsp;Yongfang Li,&nbsp;Hao Chen,&nbsp;Yali Yang,&nbsp;Sha Xu,&nbsp;Mingming Ren,&nbsp;Shusheng Lv","doi":"10.1007/s00419-025-02866-9","DOIUrl":"10.1007/s00419-025-02866-9","url":null,"abstract":"<div><p>The fatigue crack growth behavior of Al 6061-T6 alloy with inclined cracks is studied through theoretical derivation, numerical simulation, and experimental verification. A modified fatigue crack growth model taking into account of crack closure effect under mixed-mode I and II loading condition based on Paris equation is analyzed theoretically. Initial cracks with different inclination angles (β = 0°, 30°, and 60°) are prefabricated on Al 6061-T6 alloy plates with the thickness of 10 mm. The fatigue crack propagation process of the alloy is investigated by experiment and finite element simulation. The results indicate that the crack propagation path of the specimen with inclined cracks is generally consistent with the direction perpendicular to the cyclic loading during the crack growth process. Crack propagation mainly includes two stages: initial propagation and stable propagation. The initial crack propagation is closely related to the inclination angle β. The larger the angle β is set, the slower the initial crack propagation rate becomes. During the stable propagation stage, the crack has completely transformed from a mixed mode I and II to a pure mode I. The propagation rate of the entire crack front is consistent, and the shape of the crack front is also similar.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dynamic response analysis of functionally graded plates using analytical solution and the P-version of the finite element method 用解析解和p型有限元法分析功能梯度板的动力响应
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-09 DOI: 10.1007/s00419-025-02880-x
K. Bousmaha, Sid Ahmed Belalia, Sidi Mohammed Chorfi
{"title":"Dynamic response analysis of functionally graded plates using analytical solution and the P-version of the finite element method","authors":"K. Bousmaha,&nbsp;Sid Ahmed Belalia,&nbsp;Sidi Mohammed Chorfi","doi":"10.1007/s00419-025-02880-x","DOIUrl":"10.1007/s00419-025-02880-x","url":null,"abstract":"<div><p>This study presents comprehensive analysis of the dynamic behavior of plates made from functionally graded materials (FGMs), emphasizing central deflection subject to various effects and boundary conditions using two different theories. A novel analytical solution is developed using the Classical Plate Theory in order to study the dynamic behavior of FGM plates. In parallel with this analytical approach, the p-version of the Finite Element Method is applied, incorporating the first order shear deformation theory and the mode superposition method to account for higher-order effects and achieve numerical precision. The study demonstrates an excellent agreement using both the analytical and numerical solutions. Through this combined approach, the dynamic behavior of FGM plates is comprehensively analyzed, revealing the significant effect of different parameters including the volume fraction exponent, material composition, length–width ratio, thickness ratio, damping coefficient, and boundary conditions. It is demonstrated that these parameters have a crucial influence on the dynamic response amplitude of plates, offering important insights for the design and optimization of FGM structures in practical uses.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A simple solution for rolling of a cylinder with rate-dependent friction 具有速率相关摩擦的圆柱滚动的简单解
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-08 DOI: 10.1007/s00419-025-02885-6
Michele Ciavarella
{"title":"A simple solution for rolling of a cylinder with rate-dependent friction","authors":"Michele Ciavarella","doi":"10.1007/s00419-025-02885-6","DOIUrl":"10.1007/s00419-025-02885-6","url":null,"abstract":"<div><p>It is well known that friction shows rate-dependent properties, but including this effect into the contact problem of a wheel under tractive rolling, i.e. the generalization of Carter’s solution, has so far been difficult. Indeed, early numerical solutions have found various instabilities or zig-zag in the predicted shear tractions, and more refined friction laws have been suggested to avoid these complications. With a “Winkler” model, which is used in the FASTSIM type of algorithms of Kalker, the relative velocity in the slip area develops a non-physical jump, which is reflected also in friction coefficient and shear tractions. This is due to the simplification of the elastic deformation with a purely “local” model. However, given the Winkler approximation is a strong one, it is suggested to avoid the full solution, and we develop instead an approximation which assumes a constant friction coefficient in the slip area, which leads to a nonlinear algebraic equation to find this average friction coefficient. This permits a quite simple solution which shows all the expected trends in terms of creepage vs tangential force ratio, and hence can be useful for estimating the effect of rate-dependency of friction. Comparison with experimental data is very satisfactory.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Influence of agglomeration and CNT waviness on the natural frequencies of porous multi-scale hybrid weightlifting sport annular plates 团聚和碳纳米管波纹度对多孔多尺度混合举重运动环形板固有频率的影响
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-08 DOI: 10.1007/s00419-025-02874-9
Jianying Guan
{"title":"Influence of agglomeration and CNT waviness on the natural frequencies of porous multi-scale hybrid weightlifting sport annular plates","authors":"Jianying Guan","doi":"10.1007/s00419-025-02874-9","DOIUrl":"10.1007/s00419-025-02874-9","url":null,"abstract":"<div><p>The present study investigates the vibrational properties of a weightlifting sport plate, which is modeled as an annular plate composed of an epoxy matrix reinforced with carbon nanotubes (CNTs) and carbon fibers (CFs). This study pioneers the analysis of free vibration in porous multi-scale hybrid composite plates, explicitly addressing the previously unexplored effects of CNT agglomeration and waviness. The mechanical properties of the nanocomposite are assessed using a modified Halpin–Tsai micromechanics model, which incorporates considerations of agglomeration and waviness of CNTs within the matrix. Subsequently, the enhanced nanocomposite matrix is integrated with unidirectional and oriented CFs. Based on an energy-based Hamiltonian approach; equations of motion are derived using higher-order shear deformation theory. The key parameters being investigated include weight fraction of CNTs, CNT patterns, CNT agglomeration and waviness, CF volume fraction, CF orientation, porosity parameters, boundary conditions, and dimensions of the annular plate. It is found that increasing the CNT weight fraction enhances natural frequencies, with the introduction of CFs further amplifying this effect. Among the CNT patterns, CNT-O pattern is observed to have the most significant impact, while CNT-X pattern shows the least. Under severe agglomeration and waviness, influence of waviness becomes dominant, leading to a decrease in natural frequency for CNT weight fractions exceeding 1%. The presence of CNTs is found to mitigate the negative effects of porosity, particularly at lower porosity coefficients.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Analysis of dynamic response of infinite beam on a periodical viscoelastic foundation subjected to moving loads and calculation of the critical train speed 周期粘弹性基础无限梁在移动荷载作用下的动力响应分析及临界列车速度计算
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-07 DOI: 10.1007/s00419-025-02871-y
Le-Hung Tran, Thuy-Duong Le, Franziska Schmidt
{"title":"Analysis of dynamic response of infinite beam on a periodical viscoelastic foundation subjected to moving loads and calculation of the critical train speed","authors":"Le-Hung Tran,&nbsp;Thuy-Duong Le,&nbsp;Franziska Schmidt","doi":"10.1007/s00419-025-02871-y","DOIUrl":"10.1007/s00419-025-02871-y","url":null,"abstract":"<div><p>The dynamic behaviour of infinite beams resting on a homogeneous foundation subjected to moving loads has been extensively analysed through analytical methods. However, these approaches are not directly applicable to non-homogeneous foundations. This study presents an analytical framework for modelling infinite beams supported by a periodically varying viscoelastic foundation, wherein the foundation’s constitutive properties exhibit periodic variations along the beam’s longitudinal axis. In the steady-state regime, the reaction forces exerted by the foundation on the beam are assumed to exhibit periodicity, repeating as the moving loads traverse one complete period of the foundation. This periodicity condition is analogous to that observed in beams supported by discrete periodic supports. By employing the Fourier transform, the governing dynamic equation of the beam, combined with the imposed periodicity condition, leads to a linear differential equation with a periodic coefficient. To determine the system’s response, Floquet’s theorem is utilized, providing a rigorous mathematical framework for analysing the stability and dynamics of the beam. Furthermore, numerical investigations are conducted to examine the effects of foundation periodicity on the beam’s dynamic response. The results highlight the significant influence of periodic foundation properties on the vibration characteristics of the system. Finally, the critical train speed is derived based on the stability conditions of the problem, offering key insights into the structural performance of the beam under moving loads.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Optimal and seismic response analysis of inter-story isolation system with tuned inerter damper (IIS-TID) 带调谐阻尼器的层间隔震系统优化及地震反应分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-05 DOI: 10.1007/s00419-025-02847-y
Yang Liu, Dewen Liu, Zhuoxin Yang, Yong Ding, Fei Xie
{"title":"Optimal and seismic response analysis of inter-story isolation system with tuned inerter damper (IIS-TID)","authors":"Yang Liu,&nbsp;Dewen Liu,&nbsp;Zhuoxin Yang,&nbsp;Yong Ding,&nbsp;Fei Xie","doi":"10.1007/s00419-025-02847-y","DOIUrl":"10.1007/s00419-025-02847-y","url":null,"abstract":"<div><p>The optimal and seismic performance of the inter-story isolation with tuned inerter damper (IIS-TID) is studied using simplified 3-degree-of-freedom (3DOF) and multi-degree-of-freedom (MDOF) models. Considering the spatial relationship between the inertial mass and the damper units, two distinct models—referred to as Model A and Model B—were established. Firstly, a 3DOF motion governing equation is used to derive the seismic response variance of the substructure, superstructure, and isolation layer of IIS-TID system under white noise excitation. The effects of structural and TID parameters on enhanced control are analyzed. Considering different objective functions, the frequency and damping parameters are optimized and the simplified expression of the optimal TID with each structure parameter is conducted. Further, comparison of the seismic response of the IIS with and without TID is made by using a MDOF model example under ordinary and near-fault earthquake excitation. Finally, the sensitivity of the optimized design parameters of the TID is analyzed as reference for engineering practice. The results illustrate the TID system is effective to control acceleration and story drift responses of the substructure, superstructure, and isolation layer of the IIS, especially for isolation displacement and substructure acceleration.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Supersonic thermomechanical dynamic instability analysis of imperfect FG-GPLRC conical shell under nonconservative loading 非保守载荷作用下FG-GPLRC不完美锥形壳的超音速热力动力失稳分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-04 DOI: 10.1007/s00419-025-02878-5
Rupsagar Chatterjee, Sudib Kumar Mishra
{"title":"Supersonic thermomechanical dynamic instability analysis of imperfect FG-GPLRC conical shell under nonconservative loading","authors":"Rupsagar Chatterjee,&nbsp;Sudib Kumar Mishra","doi":"10.1007/s00419-025-02878-5","DOIUrl":"10.1007/s00419-025-02878-5","url":null,"abstract":"<div><p>Metallic space structures have gained prominence in recent years owing to their superior hygrothermal behavior in challenging environmental conditions. The present work provides a comprehensive yet simplified geometrically nonlinear thermomechanical stability analysis of functionally graded graphene platelet-reinforced composite (FG-GPLRC) metallic imperfect truncated conical shells (TCSs) under supersonic flow, radial pressure and tangential follower forces. A geometrically nonlinear first-order shear deformable shell formulation is implemented using finite element method taking into account initial imperfection. A nonlinear temperature distribution in the thickness direction of the shell is taken in the analysis of the TCS. The influence of material and loading parameters is investigated with geometric and thermal values pertinent for aerospace structures. The effect of functional gradation and GPL distribution in enhancing the structural stability is shown. The presence of GPL is found to enhance the stability of the structure. Temperature, internal pressure and imperfection are also found to play a significant role in influencing the critical load. With increasing imperfection and internal radial pressure, the critical load increases, whereas it decreases for increasing temperature. The influence of supersonic Mach number and nonlinear amplitude is minimal on the critical load. The dependence of stability on different tangential follower loadings with varied degrees of nonconservativeness is also studied. Both flutter- and divergence-type instability is observed at different parameter regimes.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The reflection and transmission of waves at an imperfect interface between two weakly nonlocal piezoelectric half-spaces and inverse problem 波在两个弱非局部压电半空间间非完美界面上的反射和透射及逆问题
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-01 DOI: 10.1007/s00419-025-02886-5
Tran Thanh Tuan, Truong Thi Thuy Dung, Nguyen Thi Nga
{"title":"The reflection and transmission of waves at an imperfect interface between two weakly nonlocal piezoelectric half-spaces and inverse problem","authors":"Tran Thanh Tuan,&nbsp;Truong Thi Thuy Dung,&nbsp;Nguyen Thi Nga","doi":"10.1007/s00419-025-02886-5","DOIUrl":"10.1007/s00419-025-02886-5","url":null,"abstract":"<div><p>In this paper, the problem of reflection and transmission of an incident qP wave between two nonlocal piezoelectric half-spaces is studied based on the weakly nonlocal theory proposed recently. Firstly, the system of equation for the problem of a harmonic plane wave propagating in a transversely isotropic piezoelectric medium is briefly stated following the weakly nonlocal theory. This theory ensures the well-posedness of the plane wave problems and provides the exact expressions for the characteristic equation and the nonlocal eigenvectors of a harmonic plane wave in explicit forms. Secondly, the problem of reflection and transmission of an incident qP wave at an imperfect interface between two half-spaces is considered. The imperfect interface includes both mechanically and dielectrically weakly imperfect properties. The imperfect nonlocal boundary conditions are used for three sets of waves, namely the quasi-longitudinal wave (qP), the quasi-transverse wave (qSV) and the electroacoustic wave (EA) to obtain the amplitude ratios of the reflection/transmission waves to the incident wave as well as the energy flux ratios. Next, some numerical results are computed to graphically illustrate the effect of nonlocal property and the effect of imperfect interface on the energy flux ratios of the reflection/transmission waves. It is shown that nonlocal property has a considerable effect for incident waves of short wavelength. Finally, a potential application of the present study to estimate the state of imperfect interface is illustrated by some examples of inverse problem using information of energy flux ratios of transmission qP wave. The inverse problems return good and stable results in detecting the normal imperfect and electrical imperfect parameters.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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