Archive of Applied Mechanics最新文献

{"title":"On torsional vibrations of infinite axial-symmetric dry and air-saturated poroelastic cylinders","authors":"Selene Solorza-Calderón,&nbsp;Jonathan Verdugo-Olachea,&nbsp;Rajitha Gurijala,&nbsp;Jesus Antonio Sauceda-Cazares","doi":"10.1007/s00419-025-02898-1","DOIUrl":"10.1007/s00419-025-02898-1","url":null,"abstract":"<div><p>This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169043","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 review of the three-dimensional elasticity analysis of a rotating annular disk","authors":"Marko V. Lubarda,&nbsp;Vlado A. Lubarda","doi":"10.1007/s00419-025-02896-3","DOIUrl":"10.1007/s00419-025-02896-3","url":null,"abstract":"<div><p>Novel stress-based derivations of three-dimensional elastic stress and displacement fields in an isotropic annular disk of uniform thickness, rotating around its axis of symmetry with constant angular speed, are presented, which complement other more involved derivations available in the literature. The first derivation is based on the direct integration of two partial differential equations for the sum and difference of the in-plane stresses, which are obtained by combining the equation of motion and the compatibility condition. In the second derivation the stresses are obtained by using a simple form of the stress function satisfying a first-order nonhomogeneous partial differential equation following from the Beltrami–Michell compatibility equations, which can be solved readily. The third derivation is based on Love’s stress function of axisymmetric three-dimensional elasticity, generalized to include a rotational inertia force. The resulting nonhomogeneous biharmonic partial differential equation is solved by two alternative methods of constructing its particular and complementary solution. The derived expression for Love’s function has not been reported in the literature before. The displacement-based derivation of elastic fields is also presented, including a construction of the corresponding Papkovich–Neuber potentials.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02896-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169360","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":"An optimization method for the splitting factors of generalized mixed finite elements","authors":"Weiming Guo,&nbsp;Guanghui Qing,&nbsp;Zhicheng Yong,&nbsp;Zhenyu Wang","doi":"10.1007/s00419-025-02893-6","DOIUrl":"10.1007/s00419-025-02893-6","url":null,"abstract":"<div><p>Determining the optimal splitting factor is crucial for the efficient application of generalized mixed finite elements (GME). In GME, the splitting factor adjusts the proportion of strain and complementary energy in the functional, which directly affects the accuracy of the numerical solution. To improve the accuracy of distorted hexahedral elements in GME, an alternative method for optimizing the splitting factors is introduced. The deviation of the coefficient matrix between a distorted element and its corresponding standard element is quantified by the matrix norm. Accordingly, the splitting factor is obtained by minimizing the deviation. Rather than adopting a uniform splitting factor, the method determines individualized splitting factors for each element in the finite element model. Several representative examples with different geometric parameters, boundary conditions, and loads are used to validate the proposed method. Numerical examples demonstrate that, compared to adopting a uniform splitting factor of 0.75, the individualized splitting factors significantly improve the numerical accuracy of generalized mixed elements with distortion.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169361","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":"Effect of damage initiation in laminated composites using piezoelectric patch: an investigation using AE technique","authors":"Neetika Saha,&nbsp;Parikshit Roy,&nbsp;Pijush Topdar","doi":"10.1007/s00419-025-02907-3","DOIUrl":"10.1007/s00419-025-02907-3","url":null,"abstract":"<div><p>Identification of damage at its initiation is crucial for laminated composites due to their usual brittle behavior. Acoustic emission (AE) technique is capable of identifying such an initiation of damage in real time. However, laminated composites undergo several complex damage mechanisms. These AE-based damage mode identification is a complex phenomenon, and rigorous studies are needed in this direction for assigning signature signal to a specific damage mechanism. In this regard, pencil lead break (PLB), as a tool, is capable of simulating various damage mechanisms in laminated composites. Moreover, the interface of laminated composites is the weakest region, but applying PLB in this region is impossible through experimentation. To address this problem, a numerical model of laminated carbon fiber-reinforced polymer composite is modeled where PLB is applied at the interfaces in order to investigate the damage initiation at these weakest zones. However, a full-scale model of AE sensor to capture the AE waves increases the modeling complexity and cost of computation. In this regard, a simplified modeling approach is introduced by developing a finite element model of piezoelectric patch integrated with laminated composite plate. An approach is developed to correlate the frequency contents of AE signals generated by varying the angle of PLB application with various modes of damage mechanisms in laminated composites by performing wavelet transform. The introduced methodology can be used to identify several modes of damages in laminated composites for high-end engineering applications even when there is scarcity of high-end computational facility.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169050","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":"Numerical simulation analysis of failure mechanism of expansive soil canal based on thermo-hydro-mechanics three-field coupling","authors":"Zhe Wang,&nbsp;Ling-kai Zhang,&nbsp;Hui Cheng,&nbsp;Xiao-ying Zhang","doi":"10.1007/s00419-025-02895-4","DOIUrl":"10.1007/s00419-025-02895-4","url":null,"abstract":"<div><p>Under the action of multiple physical fields, slope failure frequently occurs in water conveyance canal projects in northern Xinjiang. The study of its failure mechanism is highly important for disaster prevention. To further study the sliding failure mechanism of the canal slope, COMSOL finite element numerical simulation software was used to establish a thermo-hydro-mechanical (THM) coupling theoretical model by the partial differential equation (PDE) modeling method. The model was analyzed from the perspectives of solar radiation, the lining structure, and the groundwater level. The results show that: (1) The influence of solar radiation causes the canal slope to produce a shade-sun slope effect, and the large U-shaped canal is the most obvious on a single day of the freezing period. The maximum temperature difference among the three structural canals reaches 4.1 °C, 8.1 °C, and 4.8 °C, but the temperature difference during the maximum freezing period decreases. (2) Canal cross-sectional form: The degree of frost heaving uniformity of different canals is as follows: U-shaped canal &gt; arc-bottom trapezoidal canal &gt; trapezoidal canal. The recovery ability of the trapezoidal canal is the worst, which easily results in a hollow state and detachment phenomenon, but the increase in frost heave displacement is the least affected by multiple freeze–thaw cycles. (3) Groundwater level influence: An increase in the groundwater level changes the freezing depth of the canal, which increases by only 2.81% at the top of the canal and 23.91% at the bottom of the canal. When the groundwater level increases and decreases, the maximum frost heave displacement of the extreme point of the canal slope will fluctuate. (4) Canal failure modes: An analysis of the failure characteristics of the canal slope under the action of three influencing factors reveals that the failure modes of the canal mainly include uneven frost heave on the slope surface, hollowing instability of the lining structure, and fluctuations in the extreme points of frost heave.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169362","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":"Modeling of strain-induced phase transformation in metastable austenitic Cr–Ni steels","authors":"Hari Kisan Thammineni,&nbsp;Ralf Müller,&nbsp;Ralf Denzer","doi":"10.1007/s00419-025-02887-4","DOIUrl":"10.1007/s00419-025-02887-4","url":null,"abstract":"<div><p>A macroscopic constitutive model for the strain-induced martensite transformation observed in metastable austenitic stainless steels is presented. It models the material as an evolving two-phase austenite-martensite composite, where the plastic strains in each phase are computed using viscoplastic power-law relations. Two distinct hardening rules, one for austenite and the other for martensite, are employed to represent the disparities in their strengths and hardening abilities. The stress strain fields in the individual phases are homogenized using the Reuss/Sachs method to compute the macroscopic behavior. The phenomenological transformation kinetics model proposed by Stringfellow is directly adapted; it considers the influences of stress state, plastic strain, and temperature to model the evolution of martensite. Both the small- and large-strain formulations of the model are implemented as material routines in the finite element framework, and the material parameters in these formulations are calibrated using the experimental data obtained from a quasistatic uniaxial tension test performed on AISI 347. The calibrated model formulations are used to simulate isothermal quasistatic loading on a solid body with a center hole, and a comparison between the predictions from small- and large-strain models is presented. Furthermore, the influence of martensite evolution on necking in uniaxial tension tests is studied.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02887-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168726","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":"On the scaling of strength of flat and mushroom-shaped ends of microstructured adhesives","authors":"M. Ciavarella","doi":"10.1007/s00419-025-02897-2","DOIUrl":"10.1007/s00419-025-02897-2","url":null,"abstract":"<div><p>Considerable research has been conducted on shape of pillar ends for optimal adhesion. In experiments with elastomers, it has been found that mushrooms-ended ones are superior to flat-ended ones, but early experiments have suggested an extremely strong scaling in strength with pillar radius (del Campo et al. Langmuir 23:10235–10243, 2007). We discuss various theories and experimental results on scaling of strength, and in particular, we elaborate recent experiments on single pillars with mushroom ends finding that the scaling on strength is much less surprising. When the ratio of tip to shaft radii increases toward an optimal value, the mode of failure changes from edge to center defects, and the scaling of strength changes from that associated with the presence of the classical linear elastic fracture mechanics stress singularity at the corner of the flat-ended punches caused by large friction at the interface, with that caused by the population of defects immersed on a nearly uniform stress field in the mushroom center. Strong scaling of strength therefore is also accompanied with large scatter of strength.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02897-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168724","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":"Instability and buckling analysis of bi-directional FG multiple nanobeam system in thermal environment by a meshless method","authors":"Isa Ahmadi,&nbsp;Vladimir Sladek,&nbsp;Jan Sladek","doi":"10.1007/s00419-025-02890-9","DOIUrl":"10.1007/s00419-025-02890-9","url":null,"abstract":"<div><p>The critical buckling load of two-directional functionally graded multiple nanobeam system in thermal environment are investigated by meshless formulation. The mechanical properties of the FG nanobeams are assumed to vary over the thickness and length direction of the nanobeams. Winkler elastic medium is modeled between the nanobeams in the multiple nanobeam system to account for inter-beam interactions. To model the nanobeam behavior, the Timoshenko beam theory is used and the nonlocal elasticity theory is applied to consider the effects of small-size dimensions. A meshless formulation is developed to discretize the governing equations based on the weak form of the equations. Various boundary conditions are examined in the numerical results. The obtained numerical results are verified by comparison of the results with 1D-FG nanobeam and homogeneous double nanobeam system available in the literature and good agreements are seen. Additionally, the effects of key parameters—including gradation indices, temperature rise, nonlocal parameter, foundation stiffness, and boundary conditions—on the buckling load and <i>in-phase</i> and <i>out-of-phase</i> buckling modes of both single and <i>free-chain</i> and <i>clamped-chain</i> multiple nanobeam systems are systematically investigated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167757","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":"Optimized neural networks and fuzzy logic for predicting post-buckling loads in polymer composite tubes","authors":"Hayri Yıldırım","doi":"10.1007/s00419-025-02888-3","DOIUrl":"10.1007/s00419-025-02888-3","url":null,"abstract":"<div><p>This study presents a novel modeling framework that integrates artificial neural networks and fuzzy logic systems to predict the maximum post-buckling loads of polymer fiber-reinforced composite tubes manufactured via the filament winding method. The research addresses the challenge of accurately modeling the complex nonlinear mechanical behavior of composite materials, particularly under post-buckling conditions. Four key parameters, reinforcement type, winding angle, wall thickness, and tube length, were evaluated using multilayer perceptron (MLP), learning vector quantization (LVQ), and Mamdani fuzzy inference techniques. The MLP model achieved a prediction accuracy of 99.9%, while the LVQ and SVM classifiers reached 100% classification accuracy. The Mamdani fuzzy model yielded an average absolute percentage error of 5.5%, closely aligning with experimental values. These results confirm the efficacy of hybrid computational approaches in mechanical load prediction. Although promising, the models were trained on a relatively limited dataset constrained to specific geometries and material configurations. Therefore, their broader applicability to other composite systems or manufacturing methods remains to be tested. Furthermore, the high classification accuracy observed, particularly in the LVQ and SVM models, may indicate a degree of overfitting, highlighting the need for validation using larger and more diverse datasets. Overall, the study contributes to safer and more efficient structural design processes in aerospace, automotive, and civil engineering applications and opens new avenues for research and development in both academic and industrial settings.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166825","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 novel theory for bending and vibration analysis of functionally graded beams based on exact elasticity solution","authors":"Changwei Tang,&nbsp;Guansuo Dui,&nbsp;Yanhui Xi,&nbsp;Dianen Wei,&nbsp;Yuyao Fu","doi":"10.1007/s00419-025-02889-2","DOIUrl":"10.1007/s00419-025-02889-2","url":null,"abstract":"<div><p>In this work, a novel shear deformation theory for functionally graded beams based on the exact solution of elasticity is presented. The distribution patterns of shear stress and strain in this novel theory perfectly match those of elasticity solutions; this includes the shear stress and strain vanishing on upper and lower surfaces, and the shear stress reaches its maximum value at the neutral layer. The variationally consistent governing equations, as well as the boundary and initial conditions, are derived via Hamilton’s principle. The new theory is applied to case studies for bending and vibration analyses, in which the results of deflection, shear stress and strain align perfectly with the exact results of the elasticity solution, and the natural frequencies agree well with existing related studies.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164483","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}