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Physics-informed extreme learning machine for rapid form-finding of frame-supported lightweight tensile membrane structures
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-04-22 DOI: 10.1016/j.mechrescom.2025.104419
Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh
{"title":"Physics-informed extreme learning machine for rapid form-finding of frame-supported lightweight tensile membrane structures","authors":"Sounak Kabasi ,&nbsp;Allan L. Marbaniang ,&nbsp;Siddhartha Ghosh","doi":"10.1016/j.mechrescom.2025.104419","DOIUrl":"10.1016/j.mechrescom.2025.104419","url":null,"abstract":"<div><div>Tensile membrane structures (TMS) are one of the most in-demand types of structures these days owing to their aesthetic appeal, light-weight nature, ability to span large distances with very little supports, high material usage efficiency, etc. They are mostly used as roofing structures in stadiums, airports, parking lots, facades, etc. However, the design of such TMS is not trivial. The initial shape of the TMS is not known beforehand unlike other traditional structures like steel, masonry, etc. and hence, the designer requires a form finding framework to find the equilibrium shape of the TMS subjected to a particular combination of prestress and boundary constraints. Conventional mesh-based approaches, although very popular, are known to encounter serious convergence issues especially for non-minimal TMS related to choice of initial reference configuration, hyper-parameter selection, mesh-distortion, deviation of the Cauchy stress distribution on the form found surface, etc. Hence, an alternative mesh-less form finding method is proposed which is devoid of the aforementioned limitations of these customary form finding techniques. The modified Laplace equation is explored for form finding of TMS in this study by employing a new framework in the domain of scientific machine learning called the physics-informed extreme learning machine (PIELM). Initially a vanilla PIELM based framework is used for validation of the proposed form finding approach. However, this approach is seen to be a victim of the curse of dimensionality. Subsequently a modified algorithm based on PIELM is proposed and it is seen that for real life high dimensional TMS, the proposed method performs significantly better than Physics informed neural network (PINN) based form finding approach and a conventional mesh-based form finding approach in terms of computational efficiency. The advantage of this PIELM-based form finding in comparison to traditional physics-informed neural networks (PINNs) is in its extremely fast convergence, which can be highly beneficial for form finding design. Extensive form finding case studies show the overall reliability and computational efficiency of the proposed framework. Additionally, it is evident that the PIELM-based form finding framework can help provide a solution that is inherently devoid of the existing shortcomings associated with conventional mesh-based methodologies. A computational speedup of 50–100 times is also observed for a certain case study compared to traditional methods using the proposed scientific machine learning framework.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104419"},"PeriodicalIF":1.9,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867913","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
The zeta potential for cancellous bone is calculated by poroelasticity
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-04-02 DOI: 10.1016/j.mechrescom.2025.104404
Young June Yoon
{"title":"The zeta potential for cancellous bone is calculated by poroelasticity","authors":"Young June Yoon","doi":"10.1016/j.mechrescom.2025.104404","DOIUrl":"10.1016/j.mechrescom.2025.104404","url":null,"abstract":"<div><div>The zeta potential of cancellous bone is estimated by using poroelasticity. In colloidal chemistry, the zeta potential refers to the electric potential at the interface of the double layer. It is the potential difference between the stational layer on the solid bone matrix and interstitial fluid. The cancellous bone porosity, with a porosity of around 70–80 %, generates the peak of zeta potential in the wave propagation. If the zeta potential is small, attractive forces may exceed repulsive forces, and the aggregation of charged particles may be disrupted. If the zeta potential is significant, the charged molecules are stable and tend to aggregate. Thus, cancellous bone porosity, which ranges from 70 to 80 %, is ideal for the stability of charged molecules because a more significant zeta potential is required in this porosity range.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104404"},"PeriodicalIF":1.9,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834559","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
Modeling and experimental validation of Mullins stress-softening in male and female mice skins
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-04-01 DOI: 10.1016/j.mechrescom.2025.104406
Jayant Kumar, Deepak Kumar
{"title":"Modeling and experimental validation of Mullins stress-softening in male and female mice skins","authors":"Jayant Kumar,&nbsp;Deepak Kumar","doi":"10.1016/j.mechrescom.2025.104406","DOIUrl":"10.1016/j.mechrescom.2025.104406","url":null,"abstract":"<div><div>A Mullins effect is a commonly observed phenomenon describing how biological tissues lose their elastic modulus encountering a certain level of deformation. Many biological tissues, including heart, skin, and blood vessels, exhibit this stress-softening phenomenon. The current study models and simulates such an effect using skin samples from male and female mice tested under higher cyclic loading conditions. The study employs a newly proposed energy density function and compares its performance against existing energy functions that fail to accurately predict the Mullins effect at higher loading cycles. The findings, supported by experimental data, demonstrate that the proposed energy function qualitatively captures the effect in the tested skin samples.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104406"},"PeriodicalIF":1.9,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143758938","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
Investigation of static and dynamic responses of tensegrity-based footbridge structures with integrated deck plates subjected to time-independent load
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-24 DOI: 10.1016/j.mechrescom.2025.104405
Angelo Vumiliya, Ani Luo, Heping Liu
{"title":"Investigation of static and dynamic responses of tensegrity-based footbridge structures with integrated deck plates subjected to time-independent load","authors":"Angelo Vumiliya,&nbsp;Ani Luo,&nbsp;Heping Liu","doi":"10.1016/j.mechrescom.2025.104405","DOIUrl":"10.1016/j.mechrescom.2025.104405","url":null,"abstract":"<div><div>The tensegrity system’s nonlinear static and dynamic response has been used to describe the structural behavior of the tensegrity-based footbridge. However, the results may lead to inaccurate structural behavior because the structural model in studies of tensegrity bridges does not account for the deck. Therefore, the main objective of this study is to evaluate two models, one consisting of pure tensegrity components currently used as the footbridge model and a proposed model consisting of an integrated tensegrity and deck plate system. For this purpose, the finite element approach, alongside the Reissner–Mindlin theory for nonlinear deformation of discrete deck plate elements, is used to establish the nonlinear static and dynamic equations based on system equilibrium, which are linearized and solved to gain insight into the sensitivity of the structural element to variations in the initial prestress. The results show that including the deck plate significantly enhances predictive accuracy for the nonlinear behavior of the tensegrity-based footbridge. In contrast, the models without the deck plate exhibit substantial structural inaccuracies under varying initial prestress conditions. This research highlights the crucial role of initial prestressing and the deck plate’s integration in optimizing the structural performance of tensegrity-based footbridge systems.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104405"},"PeriodicalIF":1.9,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143777223","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
Onset of wavenumber bandgaps via alternating Willis coupling signs
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-10 DOI: 10.1016/j.mechrescom.2025.104401
Hasan B. Al Ba’ba’a
{"title":"Onset of wavenumber bandgaps via alternating Willis coupling signs","authors":"Hasan B. Al Ba’ba’a","doi":"10.1016/j.mechrescom.2025.104401","DOIUrl":"10.1016/j.mechrescom.2025.104401","url":null,"abstract":"<div><div>This article introduces a methodology for inducing wavenumber bandgaps via alternating Willis coupling signs. A non-reciprocal wave equation of Willis-type is first considered, and its wave dispersion analyses are carried out via the transfer matrix method. By creating unit cells from two identical Willis-type elastic layers, yet with reversed Willis-coupling signs, a reciprocal band structure peculiarly emerges, although each layer exhibits non-reciprocity if considered individually. Wavenumber bandgaps open due to such unit cell configuration, and their width and limits are analytically quantified. Similarities between materials with reversed-sign Willis coupling and bi-layered phononic crystals are noted, followed by concluding remarks.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104401"},"PeriodicalIF":1.9,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807140","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
Dislocation dipole confinement in a free-standing layer
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-04 DOI: 10.1016/j.mechrescom.2025.104384
Jérôme Colin
{"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}
引用次数: 0
A new approach for the inversion of residual stress based on acoustoelasticity theory and full waveform inversion
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-03 DOI: 10.1016/j.mechrescom.2025.104399
Maoyu Xu , Hongjian Zhao , Changsheng Liu , Yu Zhan
{"title":"A new approach for the inversion of residual stress based on acoustoelasticity theory and full waveform inversion","authors":"Maoyu Xu ,&nbsp;Hongjian Zhao ,&nbsp;Changsheng Liu ,&nbsp;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}
引用次数: 0
Dispersive wave propagation in piezoelectric–piezomagnetic imperfectly bonded media with surface effects based on strain gradient theory
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-01 DOI: 10.1016/j.mechrescom.2025.104390
Mohd Sadab, Santimoy Kundu
{"title":"Dispersive wave propagation in piezoelectric–piezomagnetic imperfectly bonded media with surface effects based on strain gradient theory","authors":"Mohd Sadab,&nbsp;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}
引用次数: 0
Denis Louis Blackmore (20 July 1943 – 24 April 2022)
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-01 DOI: 10.1016/j.mechrescom.2025.104379
Anthony D. Rosato PhD , Aminur Rahman PhD (Senior Scientist) , Emeritus John Tavantzis PhD
{"title":"Denis Louis Blackmore (20 July 1943 – 24 April 2022)","authors":"Anthony D. Rosato PhD ,&nbsp;Aminur Rahman PhD (Senior Scientist) ,&nbsp;Emeritus John Tavantzis PhD","doi":"10.1016/j.mechrescom.2025.104379","DOIUrl":"10.1016/j.mechrescom.2025.104379","url":null,"abstract":"","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"144 ","pages":"Article 104379"},"PeriodicalIF":1.9,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577478","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
Series solutions to elastic opening of double cantilever beam for several traction–separation laws
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-03-01 DOI: 10.1016/j.mechrescom.2025.104391
Zhenghao Yang , Konstantin Naumenko , Guozhao Dai , Nan-You Lu
{"title":"Series solutions to elastic opening of double cantilever beam for several traction–separation laws","authors":"Zhenghao Yang ,&nbsp;Konstantin Naumenko ,&nbsp;Guozhao Dai ,&nbsp;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}
引用次数: 0
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