Acta Mechanica最新文献

{"title":"Uncertainty quantification of local elastic properties in additively manufactured materials for topology optimization applications using machine learning","authors":"Zahra Kazemi,&nbsp;Craig A. Steeves","doi":"10.1007/s00707-025-04371-0","DOIUrl":"10.1007/s00707-025-04371-0","url":null,"abstract":"<div><p>The layering approach utilized in fused filament fabrication (FFF) enables the creation of complex designs generated by topology optimization. However, defects associated with the layer-by-layer process, often observed along the thin fusion regions, introduce considerable random variability to the local elastic modulus of the print. The elastic modulus along the fusion layers connecting bulk materials differs from that of the bulk areas. Accurate quantitative measurements of variations in both areas are essential to achieve robust optimized designs. In this study, we aim to quantify the parameters of the random distributions given the surface strain field of the print measured by digital image correlation (DIC). Two statistical properties, mean and standard deviation, are considered sufficient to characterize the stochastic elastic modulus fields in each region. We developed an efficient neural network model to estimate spatial variations in the local elastic modulus within both bulk and fusion layers. We trained the model on a dataset of synthetic strain fields with known elastic modulus distributions. The model performs well in correlating the elastic modulus with the input strain, provided that the standard deviation remains below 60% of the mean of the random field. The predictive accuracy of the model on testing data, measured by the R² score, is 0.99 and 0.95 for the mean and standard deviation in the fusion material. The scores for the bulk material are 0.97 each. We then applied the trained model to predict the elastic modulus distribution of an FFF-printed material at a print speed of 30 mm/s and an extrusion temperature of 220 °C, based on its DIC-measured surface strain data. The model predicts a mean and standard deviation of 1.2 GPa and 1 GPa for the bulk material, and 400 MPa and 430 MPa for the fusion region. Validation of these predictions confirms the reliability and credibility of this approach in quantifying uncertainty in the local properties of the prints.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"4041 - 4050"},"PeriodicalIF":2.9,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160543","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}

{"title":"Wave propagation phenomenon of poroelastic piezoelectric micro-fan actuators for power equipment detection","authors":"Xue Feng,&nbsp;Leng Yingxiong,&nbsp;Guo Xiaoji,&nbsp;Liang Haobo,&nbsp;Dong Caihong","doi":"10.1007/s00707-025-04370-1","DOIUrl":"10.1007/s00707-025-04370-1","url":null,"abstract":"<div><p>Porous elastic materials are widely used in the power Internet of Things, especially in temperature and vibration detection of equipment. Micro-fans used in small spaces of power equipment achieve adaptive cooling and heat dissipation. Due to these applications, examining their dynamic responses can lead to smarter and better designs and an enhancement in efficiency. In this paper, the wave transmission behavior of intelligent poroelastic micro-fans is investigated in-depth. Firstly, the problem should be formulated by establishing a comprehensive understanding of the underlying mechanics. To inspect the small size effects, nonlocal elasticity theory is implemented alongside the improved power-law homogenization scheme, which is used to obtain effective material properties. Notably, the novelty of this work lies in the unique integration of these advanced theories with Hamilton’s energy method, enabling a more precise capture of size-dependent dynamic responses than conventional approaches. Additionally, providing a robust mathematical framework for the analysis, the governing equations for the system are derived using the Hamilton energy method. To prove the method’s effectiveness, accuracy, and reliability, all outcomes are verified by comparing them with the previous works. Furthermore, the dynamic behaviors are visualized in detail under various conditions and parameters. The all-inclusive remarks would serve as a guide for the future optimal design of smart material systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"4025 - 4040"},"PeriodicalIF":2.9,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160545","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}

{"title":"Three-dimensional Green’s functions for a transversely isotropic elastic bimaterial with viscous interface","authors":"Xu Wang,&nbsp;Peter Schiavone","doi":"10.1007/s00707-025-04359-w","DOIUrl":"10.1007/s00707-025-04359-w","url":null,"abstract":"<div><p>We derive three-dimensional Green’s function solutions corresponding to the problem of a point force in a bimaterial consisting of two transversely isotropic elastic half-spaces bonded along a planar viscous interface. The interface is parallel to the isotropic plane of each medium. Exact closed-form solutions are derived when the point force is normal or parallel to the isotropic plane. We obtain explicit expressions for the time-dependent displacements and stresses in each half-space. The elastic fields evolve with a single intrinsic velocity when the point force is normal to the interface and evolve with two intrinsic velocities when the point force is parallel to the interface.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3995 - 4006"},"PeriodicalIF":2.9,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170947","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}

{"title":"Plane stress finite element modelling of arbitrary compressible hyperelastic materials","authors":"Masoud Ahmadi,&nbsp;Andrew McBride,&nbsp;Paul Steinmann,&nbsp;Prashant Saxena","doi":"10.1007/s00707-025-04310-z","DOIUrl":"10.1007/s00707-025-04310-z","url":null,"abstract":"<div><p>Modelling the large deformation of hyperelastic solids under plane stress conditions for arbitrary compressible and nearly incompressible material models is challenging. This is in contrast to the case of full incompressibility where the out-of-plane deformation can be entirely characterised by the in-plane components. A rigorous general procedure for the incorporation of the plane stress condition for the compressible case (including the nearly incompressible case) is provided here, accompanied by a robust and open source finite element code. An isochoric/volumetric decomposition is adopted for nearly incompressible materials yielding a robust single-field finite element formulation. The nonlinear equation for the out-of-plane component of the deformation gradient is solved using a Newton–Raphson procedure nested at the quadrature point level. The model’s performance and accuracy are made clear via a series of simulations of benchmark problems. Additional challenging numerical examples of composites reinforced with particles and fibres further demonstrate the capability of this general computational framework.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3975 - 3994"},"PeriodicalIF":2.9,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12214036/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144558730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Photothermoelastic behavior of fractal semiconductor media in noninteger-dimensional space via memory and nonlocal effects","authors":"Pranjali Lute,&nbsp;Lalsingh Khalsa,&nbsp;Nitin Chandel,&nbsp;Vinod Varghese","doi":"10.1007/s00707-025-04372-z","DOIUrl":"10.1007/s00707-025-04372-z","url":null,"abstract":"<div><p>In this research, we investigate the photothermoelastic properties of fractal semiconductor materials by extending vector calculus principles to fractional-dimensional spaces. We develop generalized photothermoelastic equations for regions with noninteger dimensions and provide solutions for achieving the equilibrium state of these materials. Our approach involves defining both basic and advanced mathematical tools, such as gradient, divergence, and Laplacian, by extending their use to different dimensions. To streamline our analysis, we focus on scalar point functions and rotationally invariant vectors that are independent of angles. We derive the heat conduction equation in accordance with the Moore–Gibson–Thompson (MGT) framework of generalized photothermoelasticity, which incorporates memory effects over a sliding interval. The governing equations are solved using the Laplace transform method. The continuum boundary is exposed to mechanical shock and specified thermal loading. After obtaining the Laplace transform solution, numerically invert it using the Gaver–Stehfest algorithm. Graphical representation of the numerical results validates our new theory, demonstrating that certain parameters significantly influence thermoelastic behavior. These findings are critical for accurately predicting thermoelastic responses in the design and processing of nanostructures. Fractal-based modeling improves semiconductor technology, NEMS resonators, energy materials, optoelectronics, structural engineering, and environmental remedies by improving lenses and filters and supporting resistant composites.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"4007 - 4024"},"PeriodicalIF":2.9,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171683","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}

{"title":"On propagation analysis of flexural waves in functionally graded poroelastic biocomposite higher-order beams","authors":"Hu Yuanchao,&nbsp;Wu Yijiang,&nbsp;Mostafa Habibi,&nbsp;Dong Zhicong,&nbsp;Li Bei,&nbsp;Liang Yuhuan","doi":"10.1007/s00707-025-04362-1","DOIUrl":"10.1007/s00707-025-04362-1","url":null,"abstract":"<div><p>The present work uses higher-order shear deformation theory to investigate the propagation behavior of a functionally graded poroelastic biocomposite (FGPB) beam placed on an elastic medium. Titanium-hydroxyapatite and gold-hydroxyapatite alloy were used as ingredients for two biocomposites. It is assumed that the structure is supported by an elastic medium. An improved power-law homogenization scheme that calculates porosity is used to compute the effective material characteristics of the FGPB beam. The result showed that the wave number, porosity coefficients, and Winkler–Pasternak parameters have an increasing role in the wave frequency and phase speed of both biocomposites. The power index also presented different behaviors in two biocomposites. Emphasizing the theoretical analysis, the current study shows how the change in the distribution patterns of the elastic medium and the amount of porosity can affect the performance and efficiency of biocomposites. These findings can be effective in designing and optimizing biocomposite materials with desirable mechanical properties and various applications in bioengineering and composite materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3959 - 3974"},"PeriodicalIF":2.9,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171575","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}

{"title":"Predicting small-offset yield surfaces with polycrystal plasticity","authors":"Praveen Kumar,&nbsp;Sivasambu Mahesh","doi":"10.1007/s00707-025-04356-z","DOIUrl":"10.1007/s00707-025-04356-z","url":null,"abstract":"<div><p>The small-offset yield surfaces of aluminium deformed in uniaxial tension, and free-end torsion to various finite strain levels are predicted using a binary tree-based polycrystal plasticity model. The inelastic response of the model grains is taken to obey rate-independent plasticity, and anelasticity. The substructural state of each grain, comprised of dislocation densities, slip system hardness, backstress, and friction stresses are evolved during the deformation. Model parameters are algorithmically fitted to the measured yield surfaces of aluminium 1100 after uniaxial tensile deformation, as reported in the literature. With the same parameters, the model accurately captures the subsequent yield surfaces after free-end torsion also. Analysis of the model parameters reveals that coplanar interactions are mostly responsible for the sharp curvature at the nose of the yield surface. Also, anelastic strains, aided by backstress, are found to be essential to explain the large experimental Bauschinger effect.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3911 - 3939"},"PeriodicalIF":2.9,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171154","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}

{"title":"Modelling and characterization of the thermo-mechanical behaviour of firtree roots in turbine disc assemblies","authors":"Tongyu Wu,&nbsp;Shailesh Kundalwal,&nbsp;S. A. Meguid","doi":"10.1007/s00707-025-04376-9","DOIUrl":"10.1007/s00707-025-04376-9","url":null,"abstract":"<div><p>We conducted three-dimensional finite element (FE) analysis of the coupled thermo-mechanical contact behaviour of firtree joints in aviation turbine discs with the focus of the work being the effect of the geometrical features of the joint on the contact stresses and load sharing among firtree teeth. The 3D FE model of disc/blade assembly is developed using an existing preprocessor, and the contact behaviour at the firtree roots is described using penalty parameters. Convergence tests were conducted to overcome both the mesh size dependency of our simulations and the selection of an appropriate penalty parameter on the accuracy of our results. Furthermore, nickel-based alloy Inconel 718 is chosen for the turbine disc assembly with temperature-dependent properties. The importance of performing the current coupled thermo-mechanical analysis is reflected in the significant discrepancy between the coupled and the uncoupled models, where the mechanical and thermal loads are applied independently. The study is further extended to include the influence of friction on the state of stress at disc/blade interface and the resulting shear stresses. Contact stresses and interfacial disc/blade stresses have a direct impact on the structural integrity of the turbine disc and ultimately the safety of the entire gas turbine engine. </p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3941 - 3957"},"PeriodicalIF":2.9,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170108","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}

{"title":"Dynamic performance of circular cavity in an elastic half-space with initial stress","authors":"Xi-meng Zhang,&nbsp;Hui Qi,&nbsp;Zhiyu Fan","doi":"10.1007/s00707-025-04377-8","DOIUrl":"10.1007/s00707-025-04377-8","url":null,"abstract":"<div><p>In this paper, the dynamic problem of a circular cavity in an elastic half-space with initial stress is studied. Firstly, the equilibrium equation for the two-dimensional elastic medium with initial stress under the SH wave is obtained by tensor analysis. Then, the analytical expression of scattering wave is established by conformal mapping method and substitution method. Finally, based on the theory of incremental elasticity, the expression for the total stress is derived. The integral equations are set up through boundary conditions and solved by applying orthogonal function expansion technique and effective truncation. The calculation results analyzed and discussed the dynamic stress concentration factor around the circular cavity. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3893 - 3909"},"PeriodicalIF":2.9,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170584","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}

{"title":"A WKB approximation for the divergence-buckling instability of a travelling web","authors":"Ciprian D. Coman","doi":"10.1007/s00707-025-04375-w","DOIUrl":"10.1007/s00707-025-04375-w","url":null,"abstract":"<div><p>A WKB method is proposed to analyse edge-buckling phenomena in a simplified model for axially moving, stretched thin elastic webs. The fourth-order bifurcation equation for this configuration is characterised by the presence of two turning points. Connection matrices for these points are constructed and their implication on determining the critical buckling values are discussed. In particular, we derive a transcendental eigenrelation for localised eigenmodes whose complexity depends on the order of the WKB approximation employed. When secondary boundary-layer effects are ignored, the eigenrelation can be solved with high accuracy using regular perturbation techniques. Although the inclusion of (bending) edge effects makes the eigenrelation less tractable analytically, it can still be efficiently solved with the help of standard numerical methods. Comparisons with direct numerical simulations and previously derived approximations are also presented.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3873 - 3892"},"PeriodicalIF":2.9,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170585","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}