Archive of Applied Mechanics最新文献

Modeling the viscoelastic behavior of elastomer blends including a diffuse interphase

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-02 DOI: 10.1007/s00419-025-02788-6

J. Voges, M. Müller, A. Lang, M. Klüppel, D. Juhre

{"title":"Modeling the viscoelastic behavior of elastomer blends including a diffuse interphase","authors":"J. Voges, M. Müller, A. Lang, M. Klüppel, D. Juhre","doi":"10.1007/s00419-025-02788-6","DOIUrl":"10.1007/s00419-025-02788-6","url":null,"abstract":"<div><p>Blending elastomers is an attractive method for achieving desired mechanical properties in materials. While the experimental characterization of the viscoelastic properties is usually feasible for the pure phases, it can be difficult or even impossible for blends due to their components’ interactions and the complex behavior resulting from their different glass transition temperatures. Typically, blending elastomers results in heterogeneous morphologies comprising regions with (almost) pure phases and finite interphases. The pure phases and interphases both significantly influence the viscoelastic properties. Material modeling and numerical simulations can be employed to understand the phase interactions better and predict the resulting viscoelastic properties. In this contribution, we model and simulate a representative element of a binary blend consisting of natural rubber and styrene butadiene rubber. We use microscope images as the basis for the morphology that we input in our finite element simulations. The morphology is stored within a phase parameter for each spatial point in the domain and is evolved in an Allen–Cahn framework to create differently sized diffuse interphases. These are subsequently used for mechanical simulations to investigate the influence on the storage and loss moduli. Different blend ratios are approached.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02788-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749160","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}

引用次数: 0

Hypoelastic stress analysis of a pure shear deformation

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-01 DOI: 10.1007/s00419-025-02795-7

Ruocheng Lin, Jiaqi Zhang

{"title":"Hypoelastic stress analysis of a pure shear deformation","authors":"Ruocheng Lin, Jiaqi Zhang","doi":"10.1007/s00419-025-02795-7","DOIUrl":"10.1007/s00419-025-02795-7","url":null,"abstract":"<div><p>In view of that a representative pure shear deformation was studied widely on its kinematic necessary condition for providing a plane pure shear Cauchy stress and seldom on its stress response under different constitutive characterizations, the present work renders a systematic hypoelastic stress analysis of grade zero of the deformation. On the basis of a concise description of the pure shear deformation, a novel trigonometric formulation of the deformation is presented. Then, the necessary deformation and rate tensors are derived, and a common representation equation of the material spins is formulated for the pure shear deformation. With these results in hand, the hypoelastic differential equations based on eight representative objective stress rates are derived and solved systematically, and multiple sets of analytical solutions are formulated. The obtained solutions can establish an analytical foundation for further numerical and experimental studies on the pure shear deformation. In order to show and compare the solutions directly and visually, all the solutions are coded in a MATLAB program and calculated numerically. For each hypoelastic equation, the four stress components included in the solutions are plotted vs. a given range of shear. On the basis of the numerical results and graphs, all the stress solutions are compared and analyzed. It can be found that all the hypoelastic equations related to the corotational stress rates can provide in-plane pure shear stresses, but only the one based on the logarithmic corotational description provides the pure shear stress components observed within the standard reference frame. The equations based on the non-corotational descriptions cannot present pure shear stress.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749244","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}

引用次数: 0

Nonlinear thermo-mechanical isogeometric analysis of axially functionally graded porous graphene platelet-reinforced composite arches resting on Winkler–Pasternak foundation

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-30 DOI: 10.1007/s00419-025-02796-6

Yanan Liang, Xie Zhao, Yanqing Li, Shijie Zheng

{"title":"Nonlinear thermo-mechanical isogeometric analysis of axially functionally graded porous graphene platelet-reinforced composite arches resting on Winkler–Pasternak foundation","authors":"Yanan Liang, Xie Zhao, Yanqing Li, Shijie Zheng","doi":"10.1007/s00419-025-02796-6","DOIUrl":"10.1007/s00419-025-02796-6","url":null,"abstract":"<div><p>This paper delves into the investigation of the nonlinear thermal vibration and buckling responses of the axially functionally graded porous graphene platelet-reinforced composite (AFGP-GPLRC) semi-elliptic and parabolic arches resting on the Winkler–Pasternak foundation. Concurrently, three different length-wise GPL dispersion patterns mixed with three thickness-wise porosity distribution patterns are considered. The effective thermo-mechanical properties of the AFGP-GPLRC arch are calculated within the framework of the modified Halpin–Tsai parallel model and the Gaussian random field model. A theoretical framework that encompasses the third-order shear deformation theory (TSDT) in conjunction with the non-uniform rational B-splines (NURBS)-based isogeometric analysis (IGA) approach for the AFGP-GPLRC arch is introduced. Hamilton’s principle and TSDT formulation are implemented to formulate the governing equation of motion associated with nonlinear thermo-mechanical analysis. By virtue of the NURBS-based IGA technique and the direct iterative method, the nonlinear frequency is obtained. The current theoretical framework is thoroughly validated through a rigorous comparison of the numerical solutions against existing benchmark results. Parametric analyses, considering components such as GPL reinforcements, porosity imperfections, foundation parameters, and thermal gradients, delve into their influence on the nonlinear thermal vibration and buckling responses of the AFGP-GPLRC arch. These studies are elucidated through a series of demonstrative examples that vividly portray the interplay of these variables.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735388","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}

引用次数: 0

Analytical and numerical analysis of the mechanical behavior of spherical soft materials for a biomedical application: comparison of different models

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-29 DOI: 10.1007/s00419-025-02798-4

Safia Bouzidi, Mounir Methia, Abdelhakim Benslimane, Makrem Arfaoui, Nourredine Aït Hocine

{"title":"Analytical and numerical analysis of the mechanical behavior of spherical soft materials for a biomedical application: comparison of different models","authors":"Safia Bouzidi, Mounir Methia, Abdelhakim Benslimane, Makrem Arfaoui, Nourredine Aït Hocine","doi":"10.1007/s00419-025-02798-4","DOIUrl":"10.1007/s00419-025-02798-4","url":null,"abstract":"<div><p>This paper aims to investigate the stress field of a hollow sphere with thick walls made of a homogenous, isotropic, nonlinearly hyperelastic solid under internal or external pressure. It investigates various loading scenarios: exclusive internal pressure, exclusive external pressure and the simultaneous application of both. An analytical solution is derived in the case of incompressible sphere utilizing strain energy density functions from Neo-Hookean, Mooney–Rivlin and Yeoh models and a compressible Neo-Hookean constitutive equation in the case of the compressible one. To validate this solution, a finite element model is developed for the pressurized spherical vessel. Comparison between the analytical non-dimensional stress components and finite element method results shows strong agreement, confirming the accuracy of both approaches. The analysis reveals that under external pressure alone or combined internal and external pressures, all three constitutive models predict similar stress values. However, under internal pressure without external pressure, the Yeoh model consistently forecasts higher stress values than the Neo-Hookean and Mooney–Rivlin models, indicating that the choice of constitutive model significantly influences stress predictions under specific loading conditions. Additionally, for compressible hyperelastic materials, results indicate that maximum dilation of the sphere decreases with increasing Poisson’s ratio.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726732","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}

引用次数: 0

Thermoelastic vibration of bidirectional functionally graded nanobeams with the influence of micromechanical models

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-27 DOI: 10.1007/s00419-025-02790-y

Ngoc Anh Thi Le, An Ninh Thi Vu, Dinh Kien Nguyen

{"title":"Thermoelastic vibration of bidirectional functionally graded nanobeams with the influence of micromechanical models","authors":"Ngoc Anh Thi Le, An Ninh Thi Vu, Dinh Kien Nguyen","doi":"10.1007/s00419-025-02790-y","DOIUrl":"10.1007/s00419-025-02790-y","url":null,"abstract":"<div><p>The thermoelastic vibration of power-law bidirectional functionally graded material (BFGM) nanobeams considering the influence of different micromechanical models is studied for the first time. The material properties of the nanobeams are temperature-dependent, and they are predicted by four micromechanical models, namely the Voigt, Mori–Tanaka, Hashin–Shtrikman, and Reuss models. Based on the third-order shear deformation theory and Eringen’s nonlocal elastic theory, the governing equations are derived using the transverse shear rotation rather than cross-sectional rotation as an independent variable. Natural frequencies are predicted for BFGM nanobeams with various boundary conditions by the Galerkin finite element method. The result reveals that the micromechanical model is of great importance in predicting the frequencies, and the frequencies obtained by the Mori–Tanaka and Hashin–Shtrikman models are close to each other, while those predicted by the Voigt and Reuss models are the most and the least conservative, respectively. It is also shown that the influence of the temperature rise on the frequencies is more significant for the higher nonlocal parameter. The effects of the material distribution, nonlocal parameter, temperature rise, and aspect ratio on the vibration of the BFGM nanobeams are studied in detail and highlighted.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143717048","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}

引用次数: 0

Nonlocal elasticity theory for transverse vibration of composite nanobeams based on wave approach

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-25 DOI: 10.1007/s00419-025-02789-5

Liu Wei, Wang Xiandong

{"title":"Nonlocal elasticity theory for transverse vibration of composite nanobeams based on wave approach","authors":"Liu Wei, Wang Xiandong","doi":"10.1007/s00419-025-02789-5","DOIUrl":"10.1007/s00419-025-02789-5","url":null,"abstract":"<div><p>Wave approach provides a powerful technique for the vibration analysis of macrostructures and micro/nanostructures. This method exhibits the essence of mechanical behavior excellently through describing waves propagating within structures in matrix form. In this article, wave approach is combined with nonlocal elasticity theory to systematically investigate the composite nanobeams subjected to transverse vibration. Initially, the transfer matrix is derived and combined with the conventional method to capture the general characteristic equation. Then, the propagation, reflection and coordination matrices are assembled for achieving the exact solution of the composite nanobeams. In order to validate the feasibility of the proposed method in investigating the resonance behavior, the nonlocal frequency predicted by wave approach is examined by the available published data. Numerical comparisons are conducted to illustrate the natural characteristic of composite nanobeams with various boundary constraints by employing conventional method and wave approach. Finally, the effects of some parameters such as boundary condition, nonlocal parameter and material parameter on the fundamental frequency are also discussed cautiously.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688439","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}

引用次数: 0

Static analysis of a hemispherical nanoshell under uniform pressure based on MCST: a comparison of FEM and GDQ solutions

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-25 DOI: 10.1007/s00419-025-02794-8

Piyawat Suwankornkij, Tawich Pulngern, Chanachai Tangbanjongkij, Somchai Chucheepsakul, Weeraphan Jiammeepreecha

{"title":"Static analysis of a hemispherical nanoshell under uniform pressure based on MCST: a comparison of FEM and GDQ solutions","authors":"Piyawat Suwankornkij, Tawich Pulngern, Chanachai Tangbanjongkij, Somchai Chucheepsakul, Weeraphan Jiammeepreecha","doi":"10.1007/s00419-025-02794-8","DOIUrl":"10.1007/s00419-025-02794-8","url":null,"abstract":"<div><p>This study focuses on the static analysis of hemispherical nanoshells subjected to uniform pressure based on the modified couple stress theory (MCST). The strains, change of curvatures, and rotation gradients can be expressed by the surface fundamental form in orthogonal curvilinear coordinates. Here, the numerical results are calculated using two different approaches. Firstly, the finite element method (FEM) is used to solve the variational formulation, which is derived based on the principle of virtual work. Secondly, the generalized differential quadrature method (GDQ) is recommended in this study to solve the governing differential equations with essential and nonessential boundary conditions. Therefore, the novelty of this research is a comparison between the FEM and GDQ methods under different conditions, as no published studies to date have compared these approaches for this application based on MCST. The static behavior of hemispherical nanoshells made of fullerene C<sub>4860</sub>, silver, and gold with the effect of small-scale parameters are highlighted in this work, and the advantages and limitations of FEM versus GDQ are demonstrated and summarized. Overall, the results based on MCST from the two different methods match closely in terms of nanoshell displacement; however, the GDQ model without the nanoscale effect is validated with the published research and is in close agreement for all membrane forces and bending moments.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698538","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}

引用次数: 0

Thermo-mechanical buckling response of functionally graded sandwich dome structures

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-25 DOI: 10.1007/s00419-025-02793-9

Mehmet Fethi Ertenli, İsmail Esen

{"title":"Thermo-mechanical buckling response of functionally graded sandwich dome structures","authors":"Mehmet Fethi Ertenli, İsmail Esen","doi":"10.1007/s00419-025-02793-9","DOIUrl":"10.1007/s00419-025-02793-9","url":null,"abstract":"<div><p>This study investigates the static thermo-mechanical buckling analysis of various dome structures made of functionally graded materials (FGM). Spherical, cylindrical, elliptical paraboloid and hyperbolic paraboloid domes are considered. A series of equivalent three-layer sandwich plate configurations are evaluated using a high-order shear deformation theory (HSDT). The structures are designed to have a FGM and ceramic material with face layers of pure metal, pure ceramic, or a combination thereof, and up to 80% foam ratio in the core layer. The research focused on the thermo-mechanical behavior of sandwich dome structures with different face layers (pure metal face layers (MFM), mixed metal-ceramic face layers (NFN), and pure ceramic face layers (CFC)). In the study, the properties of the face layers and the FGM core layer, such as the foam ratio and dispersion type of the core layer, were extensively investigated. In addition, the effect of the geometric shape of the dome structure (spherical, cylindrical, elliptical paraboloid and hyperbolic paraboloid) on the radius of curvature is investigated. The equations of motion are derived using Hamilton’s principle and the Navier method is applied for their solution. It is concluded that the thermo-mechanical buckling behavior of the dome structure is affected by factors such as the type of sandwich structure (CFC, NFN and MFM), the presence of functional porous material in the core and geometrical properties. According to the data obtained, it was found that the thermal resistance of the dome structure increases when the foam ratio reaches 50%, but when it exceeds this ratio, the thermal resistance starts to decrease.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02793-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688437","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}

引用次数: 0

A coated elliptical compressible liquid inclusion

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-25 DOI: 10.1007/s00419-025-02791-x

Xu Wang, Peter Schiavone

引用次数: 0

Deformation and failure behaviour of straight-wall arched tunnels: effect of minimum principal stress under static stress and low-frequency disturbances

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-03-25 DOI: 10.1007/s00419-025-02785-9

Jianing Li, Jianhua Hu, Pengfei Gao, Binglei Li

{"title":"Deformation and failure behaviour of straight-wall arched tunnels: effect of minimum principal stress under static stress and low-frequency disturbances","authors":"Jianing Li, Jianhua Hu, Pengfei Gao, Binglei Li","doi":"10.1007/s00419-025-02785-9","DOIUrl":"10.1007/s00419-025-02785-9","url":null,"abstract":"<div><p>To comprehensively investigate the effect of different minimum principal stresses on the stability of straight-wall arched tunnels, the static stress and low-frequency disturbances are applied in true triaxial loading tests, accompanied by acoustic emissions (AE) and internal image monitoring for damage. The results show that (1) increasing the minimum principal stress (along the axial direction of the tunnel) will improve tunnel stability, and (2) during the damage process of straight-wall arched tunnels, whether caused by static stress or low-frequency disturbances, the dissipated energy and AE count had demonstrated identical increasing trends in their numerical values. (3) When the straight-wall arched roadway had been damaged by low-frequency disturbances, the dissipated energy and AE count had increased gradually at first and then surged rapidly upon macroscopic damage, following a trend similar to an exponential function.Please check and confirm that the authors and their respective affiliations have been correctly identified and amend if necessary.We have confirmed the correctness of the authors and their affiliations</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688438","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}

引用次数: 0