Mechanics Research Communications最新文献

{"title":"Comparative investigation of the contact coated rough surface coatings using the indentation and flattened methods","authors":"Zhaoning Sun ,&nbsp;Bangchun Wen","doi":"10.1016/j.mechrescom.2025.104422","DOIUrl":"10.1016/j.mechrescom.2025.104422","url":null,"abstract":"<div><div>A comparison between the indentation and flattened model for the contact of coated asperities during the elastic deformation was analyzed. The influence of the coating thicknesses and elastic moduli ratios on the two methods was studied in a wide range of materials (including soft and hard coatings). The constitutive relationships of the transition parameters and the effective modulus of elasticity were established by numerical fittings. The contact relations of the coated asperity were applied to the coated rough surfaces basing on the GW model. The influence of coating thicknesses, material properties and the surface roughness of substrate on the deformation of the coating surface were explored. The equivalent plasticity index of the two models were compared during the elastic deformation till to the limit. The reasons for the differences are discussed. This study provides a theoretical foundation for the friction and wear of the coated rough surfaces.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"147 ","pages":"Article 104422"},"PeriodicalIF":1.9,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143932224","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}

{"title":"Adjoint state method in the block-parametric approach to the inverse problem analysis for elastic layered packages","authors":"Alexander V. Trofimov","doi":"10.1016/j.mechrescom.2025.104426","DOIUrl":"10.1016/j.mechrescom.2025.104426","url":null,"abstract":"<div><div>Issues of efficiently calculating the gradient of the residual function play an important role in the analysis of inverse problems of any nature. One of the methods for calculating the gradient, which allows considering the “state equation” as part of the forward mapping, is the Adjoint State Method. This method is applied to inverse problems for a layered elastic package located on an elastic foundation. The materials of the package layers are generally assumed to be anisotropic and non-uniform, as are the parameters of the elastic foundation. The model/observed data of the inverse problem are the ray displacements of some points on the upper surface of the package. Formulas for the gradient components are obtained in an infinite-dimensional version using a block-parametric approach to the analysis of inverse problems. The essence of the approach lies in the special block-parametric approximation of the prior probability density and likelihood function in a set of parameters and model data of the problem. The method allows one to estimate the parameters of the prior distribution of the diagnosed values, identify and exclude outliers of measured data from the created model, and construct the estimate of the posterior probability density of unknown parameters with an acceptable resolution. The issues related to the discretization of the initial infinite-dimensional problems, comparison of the results obtained based on the adjoint state method and difference schemes of different orders of approximation for calculating the gradient components, as well as the application of the Multigrid Iterative Method for solving the forward and adjoint problems are considered.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"147 ","pages":"Article 104426"},"PeriodicalIF":1.9,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071268","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}

{"title":"Analytic shapes of air-filled thin-walled membranes impacted upon a variable transmural pressure","authors":"Mustafa Turkyilmazoglu","doi":"10.1016/j.mechrescom.2025.104421","DOIUrl":"10.1016/j.mechrescom.2025.104421","url":null,"abstract":"<div><div>This work presents analytical solutions for the shapes of air-filled, thin-walled membranes subjected to variable transmural pressures. These elastic membranes, resting on a rigid foundation, are assumed to be in equilibrium. The governing equations are derived from a static balance of horizontal and vertical operating forces acting on the membrane tube’s surface. Unlike previous studies that assumed constant transmural pressure (acting normal to the wall surface), we generalize it to account for variable net force differences due to external and internal pressure forces. This allows us to analytically determine the corresponding shapes of the membranes and derive closed-form expressions for their mechanical properties. Notably, we demonstrate that the air pressure inside the tube can be reduced below atmospheric pressure while maintaining inflation, where the external pressure actually corresponds to a pulling from the outside.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104421"},"PeriodicalIF":1.9,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143907879","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}

{"title":"FPGA-accelerated Binary Neural Networks as a surrogate model for a viscoplastic constitutive law in impulsively loaded beams","authors":"Vasileios Polydoras,&nbsp;Saurabh Balkrishna Tandale,&nbsp;Rutwik Gulakala,&nbsp;Marcus Stoffel","doi":"10.1016/j.mechrescom.2025.104420","DOIUrl":"10.1016/j.mechrescom.2025.104420","url":null,"abstract":"<div><div>In the present study, constitutive equations are replaced by a new type of energy-efficient neural networks that lead to significantly shorter computation times. We propose this method for impulsively loaded structures exhibiting strain-rate-dependent plasticity and replacing the material law with a so-called Binarized Neural Network (BNNs) in an in-house Finite Element algorithm. BNNs share the same architecture as the Feedforward Neural Networks (FFNNs) but utilize binary layers in place of dense layers. The motivation for employing BNNs lies in the possibility that the binary operations within the binary layers can be optimized for hardware implementation. Specifically, BNNs allow for effective programming of Field Programmable Gate Arrays (FPGAs), enabling the efficient execution of BNNs forward passes in terms of computation time and energy consumption, thus improving the performance of real-time dynamic simulations. Thus in the present study, a BNN is deployed to learn the non-linear viscoplastic material law and the PYNQ Z2 FPGA board has been programmed to process the forward pass of the BNN efficiently. The computation time of the BNN forward pass in the PYNQ Z2 FPGA is 60% faster than in 13th Gen. Intel i7-13700K CPU and 26% faster than in NVIDIA GeForce RTX 4090 GPU.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104420"},"PeriodicalIF":1.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906160","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}

{"title":"Hadamard compatibility condition implies existence of supersonic shock waves in bi-modular materials","authors":"Sergey V. Kuznetsov","doi":"10.1016/j.mechrescom.2025.104425","DOIUrl":"10.1016/j.mechrescom.2025.104425","url":null,"abstract":"<div><div>It is known that the propagation of signals in linearly elastic rods cannot exceed the so called “rod” velocity; a similar restriction holds for nonlinearly elastic rods for which the rod velocity may depend upon strain. Herein, it is shown that the Hadamard compatibility condition applied to the propagation of acoustic waves in bi-modular rods implies (i) the appearance of discontinuities in strain, stress and rod velocity, known as strong shocks; and (ii) the instantaneous propagation velocity of these shocks can be unbounded, exceeding the maximal rod velocity. The existence of instantaneous supersonic velocities of strong shocks is demonstrated in the propagation of a harmonic acoustic wave.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104425"},"PeriodicalIF":1.9,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888172","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}

{"title":"A modified critical plane energy–energy gradient based multiaxial fatigue life prediction model for smooth/notched specimens","authors":"YiHeng Wei ,&nbsp;Xu Zhang ,&nbsp;Wei Ye ,&nbsp;XuDong Li ,&nbsp;ShiChao Zhang ,&nbsp;He Mao ,&nbsp;JianYao Yao","doi":"10.1016/j.mechrescom.2025.104418","DOIUrl":"10.1016/j.mechrescom.2025.104418","url":null,"abstract":"<div><div>The energy-based critical plane method has gained considerable acceptance in multiaxial fatigue life prediction, but conventional implementations fundamentally limit accuracy through oversimplified strain energy density computations. By combining the modified strain energy computation approach and critical plane criterion, a general prediction model that applicable to both smooth and notched specimens is established, in which the critical plane is determined by the maximum damage parameter. In the proposed model, the concept of energy gradient influence coefficient in terms of the energy distribution on the critical plane is defined to account for the influence of the notch. For model verification and comparison, finite element analysis (FEA) and the experimental data of GH4169, TC4 and Al7050-T7451 alloys are utilized. Quantitative evaluation shows that the proposed model has superior prediction accuracy compared to conventional energy-based models (SWT, CXH and CCB), especially when the materials generate plastic strain energy.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104418"},"PeriodicalIF":1.9,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878922","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}

{"title":"VIV of 2DOF square and 1DOF circular structures in tandem","authors":"Henry Francis Annapeh,&nbsp;Victoria Kurushina","doi":"10.1016/j.mechrescom.2025.104423","DOIUrl":"10.1016/j.mechrescom.2025.104423","url":null,"abstract":"<div><div>This study investigates the vortex-induced vibration (VIV) of a tandem configuration consisting of a two-degree-of-freedom (2DOF) upstream square cylinder and a one-degree-of-freedom (1DOF) downstream circular cylinder. Numerical simulations are conducted using the Detached Eddy Simulation-Shear Stress Transport (DES-SST) model at Reynolds numbers ranging from 1000 to 6500 and reduced velocities between 2 and 11, with spacing ratios (<em>L/D</em>) of 3, 6, and 9. The study examines the effects of spacing ratios on hydrodynamic coefficients, oscillation amplitudes, frequency ratios, vortex shedding behavior, and the lock-in phenomenon. Results reveal that the spacing ratio significantly influences VIV dynamics, with smaller <em>L/D</em> ratios producing narrower lock-in regions and enhanced shielding effects, which lead to reduced vibration amplitudes and drag coefficients for the downstream cylinder. The maximum displacement amplitude observed in this study reaches 1D at <em>L/D</em> = 6 for the downstream structure. The upstream square cylinder exhibits relatively small oscillations, with a decrease in transverse amplitude as the spacing ratio increases. These findings provide critical insights into the dynamics of tandem structures, contributing to the improved design and operation of offshore systems subjected to VIV.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104423"},"PeriodicalIF":1.9,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143890505","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}

{"title":"Hyperelastic behaviour of plates with a centred hole using the asymptotic numerical method","authors":"Romuald Tagne Noumbissi ,&nbsp;Guy Edgar Ntamack ,&nbsp;Lahcen Azrar","doi":"10.1016/j.mechrescom.2025.104424","DOIUrl":"10.1016/j.mechrescom.2025.104424","url":null,"abstract":"<div><div>This paper presents a methodological approach to solve nonlinear problems of a membrane plate with a centred hole hyperelastic properties. For this structure, we considered the Mooney-Rivlin and Gent models of strong non-linearity and the Hybrid Integral Approach (HIA) model of very high non-linearity. The finite elements and the asymptotic numerical method are used to handle this nonlinear effects the results of the stress-strain curve are presented, showing the influence of hole size on the structure for the different specified energy models, as well as the influence of structure size when the hole is fixed. We also show from the obtained results a decrease in stress as the size of the hole increases with the parameters of the Dirichlet boundary conditions when the structure has no hole for certain energy models and a decrease for others. The opposite phenomenon is observed regarding the influence of the size of the structure with a hole.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104424"},"PeriodicalIF":1.9,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912693","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}

{"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}

{"title":"The Second Law as a constraint and admitting the approximate nature of constitutive assumptions","authors":"Amit Acharya","doi":"10.1016/j.mechrescom.2025.104407","DOIUrl":"10.1016/j.mechrescom.2025.104407","url":null,"abstract":"<div><div>A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is designed for solving the resulting mathematical problem. Cases when the Second Law becomes an over-constraint on the mechanical model, as well as when it serves as a necessary constraint, are discussed.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"146 ","pages":"Article 104407"},"PeriodicalIF":1.9,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888174","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}