Mechanics Research Communications最新文献

Excitation method of guided wave modes in turnout rails with variable cross-section by applied surface tractions

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-02-08 DOI: 10.1016/j.mechrescom.2025.104385

Zhongyi Zhang , Fengzhuang Tong , Haoxiang Gao , Shuaijie Miao , Chengyang Hu

引用次数: 0

Energy transport in a free Euler–Bernoulli beam in terms of Schrödinger’s wave function

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-30 DOI: 10.1016/j.mechrescom.2025.104382

Serge N. Gavrilov , Anton M. Krivtsov , Ekaterina V. Shishkina

{"title":"Energy transport in a free Euler–Bernoulli beam in terms of Schrödinger’s wave function","authors":"Serge N. Gavrilov , Anton M. Krivtsov , Ekaterina V. Shishkina","doi":"10.1016/j.mechrescom.2025.104382","DOIUrl":"10.1016/j.mechrescom.2025.104382","url":null,"abstract":"<div><div>The Schrödinger equation is not frequently used in the framework of the classical mechanics, though historically this equation was derived as a simplified equation, which is equivalent to the classical Germain-Lagrange dynamic plate equation. The question concerning the exact meaning of this equivalence is still discussed in the modern literature. In this note, we consider the one-dimensional case, where the Germain-Lagrange equation reduces to the Euler–Bernoulli equation, which is used in the classical theory of a beam. We establish a one-to-one correspondence between the set of all solutions (i.e., wave functions <span><math><mi>ψ</mi></math></span>) of the 1D time-dependent Schrödinger equation for a free particle with arbitrary complex initial values and the set of ordered pairs of quantities (the linear strain measure and the particle velocity), which characterize solutions <span><math><mi>u</mi></math></span> of the beam equation with arbitrary real initial values. Thus, the dynamics of a free infinite Euler–Bernoulli beam can be described by the Schrödinger equation for a free particle and vice versa. Finally, we show that for two corresponding solutions <span><math><mi>u</mi></math></span> and <span><math><mi>ψ</mi></math></span> the mechanical energy density calculated for <span><math><mi>u</mi></math></span> propagates in the beam exactly in the same way as the probability density calculated for <span><math><mi>ψ</mi></math></span>.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104382"},"PeriodicalIF":1.9,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143336590","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

Tensile stress-crack width relationship for steel fiber reinforced concrete under mode I fracture

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-27 DOI: 10.1016/j.mechrescom.2025.104378

R. Vidya Sagar , Sardar Abhijit Samadhan , T. Kundu

引用次数: 0

Investigating the 3D coupling of mechanical and electrical effects on porous materials via Green’s function

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-27 DOI: 10.1016/j.mechrescom.2025.104381

Muzammal Hameed Tariq , Yue-Ting Zhou

{"title":"Investigating the 3D coupling of mechanical and electrical effects on porous materials via Green’s function","authors":"Muzammal Hameed Tariq , Yue-Ting Zhou","doi":"10.1016/j.mechrescom.2025.104381","DOIUrl":"10.1016/j.mechrescom.2025.104381","url":null,"abstract":"<div><div>Porous materials, characterized by fluid-filled interconnected voids, exhibit intricate mechanical–electrical interactions that are essential for understanding and advancing their conductivity, strength, and engineering applications. This study introduces a comprehensive novel analysis of three-dimensional (3D) transversely isotropic poro-piezoelastic (PPE) materials, employing potential theory, displacement functions, operator theory, and Almansi’s theorem. Compact general solutions are derived using harmonic functions that satisfy weighted harmonic and octaharmonic partial differential equations (PDEs). A 3D Green’s function for concentrated forces and point charges in solid and fluid phases is developed, introducing four new harmonic functions to address diverse practical challenges. Numerical results, validated against existing literature, reveal distinct PPE component behaviors, including rapid contour variations near sources, zero-field limits at large distances, increased contour density near point charge sources in fluids, and higher-order singularities in shear stress around concentrated sources. These findings offer valuable insights into the physical mechanisms of PPE materials and expand their potential for innovative engineering applications.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104381"},"PeriodicalIF":1.9,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143336591","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

Thermomechanical buckling response of precompressed sandwich plate with foam metal core and symmetric FGM face layers subjected to magnetic field and Pasternak foundation

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-25 DOI: 10.1016/j.mechrescom.2025.104383

Adem Fatih Ozalp

{"title":"Thermomechanical buckling response of precompressed sandwich plate with foam metal core and symmetric FGM face layers subjected to magnetic field and Pasternak foundation","authors":"Adem Fatih Ozalp","doi":"10.1016/j.mechrescom.2025.104383","DOIUrl":"10.1016/j.mechrescom.2025.104383","url":null,"abstract":"<div><div>This study uses the new trigonometric higher-order shear deformation theory to describe and investigate the thermomechanical buckling response of sandwich plates with a foam core layer and two symmetric FGM surface layers. The sandwich plate, exposed to the external magnetic field, is supported by the Pasternak foundation, and three types of metal foam (Nickel foam) supported by Graphene are employed in the core layer, while metal (Nickel) and ceramic (Al<sub>2</sub>O<sub>3</sub>) are utilized as symmetric FGM in the surface layers. The equations incorporated axial compressive forces, as well as additional forces caused by thermal and magnetic fields, forces from the foundation, and Hamilton's principle was used to obtain the sandwich plate's motion equation. The thermal buckling behavior of the sandwich plate is affected by the properties of the foam structure in the core layer (foam void ratio and foam distribution form), the material mixture ratios of FGM surface plates, the effect of axial loads, the effect of temperature rise, the effect of the external magnetic field, and the effects of spring and shear foundation parameters. It has been observed that especially the applied external magnetic field can be used to improve the thermal buckling behavior of the sandwich plate. Moreover, the specific type of foam core significantly influences the thermal buckling behavior. While one type of foam core has superior performance up to a specific temperature, the other type demonstrates increased susceptibility to thermal buckling.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104383"},"PeriodicalIF":1.9,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377075","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

Preliminary semi-analytical investigation of momentum exchange in a bouncing container filled with swirling fluid: Pressure impulse induced by central jet

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-18 DOI: 10.1016/j.mechrescom.2025.104380

Wenang Xie

{"title":"Preliminary semi-analytical investigation of momentum exchange in a bouncing container filled with swirling fluid: Pressure impulse induced by central jet","authors":"Wenang Xie","doi":"10.1016/j.mechrescom.2025.104380","DOIUrl":"10.1016/j.mechrescom.2025.104380","url":null,"abstract":"<div><div>This study aims to provide a preliminary semi-analytical description of the momentum reduction in a bouncing cylindrical container filled with swirling fluid upon normal impact with a flat rigid surface, from a hydrodynamic perspective. The focus is on the pressure impulse generated beneath the central jet flow immediately after impact. The fluid motion is modeled using simplified Euler equations with idealized initial conditions and moving boundary conditions. By applying a self-similarity transform, we analytically solve an initial–boundary value problem of the velocity field in a confined target region. This solution allows for a quantitative evaluation of the pressure field. The analysis demonstrates that the rotational motion of the descending flow significantly increases the hydrodynamic pressure near the central axis, thereby exerting a substantial downward stomping pressure impulse on the bottom of the container. This pressure impulse is assumed to be responsible for reducing the momentum of the container, thus also suppressing its bouncing velocity. Based on the analytical results, a semi-analytical method calculating the pressure impulse is proposed, which describes the trend of existing laboratory data.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104380"},"PeriodicalIF":1.9,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143336672","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

Static response and solving shear-locking issue of FG plate via refined meshless method and three-dimensional estimation functions based on Reddy's HSDT

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-13 DOI: 10.1016/j.mechrescom.2025.104377

Seyed Amin Vakili , Farzad Shahabian , Mohammad Hossein Ghadiri Rad

{"title":"Static response and solving shear-locking issue of FG plate via refined meshless method and three-dimensional estimation functions based on Reddy's HSDT","authors":"Seyed Amin Vakili , Farzad Shahabian , Mohammad Hossein Ghadiri Rad","doi":"10.1016/j.mechrescom.2025.104377","DOIUrl":"10.1016/j.mechrescom.2025.104377","url":null,"abstract":"<div><div>This paper introduces a novel application of the element-free Galerkin (EFG) technique for addressing the static bending behavior of thick power-law and exponential-law functionally graded plates (P-FGPs and E-FGPs). The main features of this approach include the elimination of predefined mesh requirements, high adaptability to real-world models, accuracy in stress calculation, and compliance with the <em>C<sup>1</sup></em> continuity requirements of the displacement field. The approximate effects of thickness stretching are captured by the higher-order shear deformation theory (HSDT). Additionally, this study introduces a technique to eliminate the shear-locking phenomenon through specific shape functions. The anisotropic mechanical properties, including Young's modulus and Poisson's ratio, exhibit continuous variation throughout the thickness of the dual-phase metal-ceramic membrane following power-law and exponential distributions.</div><div>Moreover, this study proposes an innovative approach for estimating the central deflection of FGPs by employing the EFG method and sigmoid-cubic functions, introduced here as a novel contribution to the literature. This novel estimation function achieves excellent curve fitting, establishing itself as a highly efficient and robust solution for analyzing complex static bending behaviors of thick FG plates.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104377"},"PeriodicalIF":1.9,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143336673","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

Stability analysis of fluid conveying Timoshenko pipes resting on fractional viscoelastic foundations

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-09 DOI: 10.1016/j.mechrescom.2025.104369

A.R. Askarian , M.R. Permoon , M. Rahmanian

{"title":"Stability analysis of fluid conveying Timoshenko pipes resting on fractional viscoelastic foundations","authors":"A.R. Askarian , M.R. Permoon , M. Rahmanian","doi":"10.1016/j.mechrescom.2025.104369","DOIUrl":"10.1016/j.mechrescom.2025.104369","url":null,"abstract":"<div><div>This study examines the dynamic stability of short cantilevered pipes carrying flow mounted on fractional viscoelastic foundations. The Timoshenko beam theory and a fractional Zener model are employed to model the tubular structure of the pipe as well as the viscoelastic foundation. Assuming the plug-flow assumptions, the effect of fluid flow is taken into account as a laterally distributed load, being a function of the pipe’s deformation states and their respective derivatives. The extended Hamilton’s principle is then used to obtain the motion equations. In order to solve the given equations of motion, a combination of the extended Galerkin and Laplace methods are employed to map the differential equations of motion to a set of equivalent algebraic equations. Therefore, to obtain the non-trivial solution of the problem and the pipe’s stability margins, the determinant of the coefficients of the retrieved algebraic equations is set to zero. Both real and imaginary components of the characteristic solutions are determined for a variety of parameter variations to check for stability thresholds. Several different parameters such as mass parameter, slenderness ratio, Poisson’s ratio, inner-to-outer radius ratio, fractional order parameter, foundation stiffness, and damping parameters are examined and some conclusions are drawn.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104369"},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143359249","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

Uncertainty quantification of effective mechanical characteristics of hexagonal cellular material

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-06 DOI: 10.1016/j.mechrescom.2025.104368

Safdar Iqbal , Marcin Kamiński , S.M. Seyed Ardakani

引用次数: 0

A plastic dissipation-based yield surface and flow rule characterization through mesostructural simulation

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-01-01 DOI: 10.1016/j.mechrescom.2024.104364

Hanieh Arefiyekta, Sharif Shahbeyk

{"title":"A plastic dissipation-based yield surface and flow rule characterization through mesostructural simulation","authors":"Hanieh Arefiyekta, Sharif Shahbeyk","doi":"10.1016/j.mechrescom.2024.104364","DOIUrl":"10.1016/j.mechrescom.2024.104364","url":null,"abstract":"<div><div>An evolving yield criterion, along with one or multiple state (internal/history) variables and a flow rule, are essential components of any conventional plasticity model. Ideally, to characterize a yield criterion, yield points should be identified at every level of state variables across different loading paths. However, this process presents two significant challenges: first, experimentally determining many of the required continuum-level variables is nearly impossible, and second, a unifying approach is needed to correlate separate pieces of multiaxial stress-strain data with the evolution of the yield surface. This study addresses these challenges by proposing a methodology for characterizing the initiation and evolution of the yield surface while assessing the normality rule. The approach uses: (1) plastic dissipation as a unifying scalar state variable, (2) the advantages of mesoscale simulations to provide variables at every stage of deformation, (3) an appropriate mathematical form for the yield criterion, and (4) nonlinear implicit data fitting techniques for parameter identification. The practical application of the proposed methodology is demonstrated using simple 2D voided solids.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"143 ","pages":"Article 104364"},"PeriodicalIF":1.9,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093111","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