International Journal of Solids and Structures最新文献

{"title":"Dynamic homogenization of random elastodynamic metamaterials using space–time Fourier transform","authors":"Ali Heidari Shirazi ,&nbsp;Reza Abedi ,&nbsp;Raj Kumar Pal","doi":"10.1016/j.ijsolstr.2025.113339","DOIUrl":"10.1016/j.ijsolstr.2025.113339","url":null,"abstract":"<div><div>The dynamic homogenization of metamaterials with transfer matrix-based methods poses significant challenges due to an inherent branch ambiguity associated with the real part of the wavenumber. This problem is exacerbated in the presence of disorder (randomness) in cell geometry or material properties. Disorder necessitates larger domains for homogenization, which increase the range of wavenumbers with a branch ambiguity. To resolve this ambiguity, we utilize a Space–Time Fourier Transform (STFT)-based technique and extract primary parameters such as wavenumber and phase velocity, alongside secondary parameters including effective mass density, elastic modulus, and Willis-coupling terms for 1D multilayer media. A variation-based criterion is used to show that dynamic Representative Volume Element (RVE) can only be defined for the primary parameters. A sensitivity analysis is conducted to show that the coefficient of variation of secondary parameters is not only much higher than that of primary parameters, but also does not decrease by increasing the Statistical Volume Element (SVE) size. Our simulations predict the appearance of minor bandgaps induced by disorder. Phenomena such as blue-shift, widening, and merging of bandgaps are observed in random realizations. The STFT technique predicts homogenized parameters in both passbands, bandgaps, and can naturally be extended to higher dimensional metamaterials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113339"},"PeriodicalIF":3.4,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724221","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":"Elastic sheets on Winkler foundations: Indentation stiffness and nonlinearities","authors":"Erteng Chen,&nbsp;Zhaohe Dai","doi":"10.1016/j.ijsolstr.2025.113346","DOIUrl":"10.1016/j.ijsolstr.2025.113346","url":null,"abstract":"<div><div>The indentation of thin sheets on Winkler’s mattress or elastic foundations offers valuable opportunities to gain quantitative insights into the mechanical properties of both the material and its interface. However, interpreting indentation data is complicated by the interplay of plate bending, sheet pre-tension, and foundation deformation. The challenges are further amplified in recently developed nanoindentation techniques for small-scale systems, such as 2D materials and cell membranes, where indenter size, shape, and foundation nonlinearity have been found to influence the results significantly. Here, we address these challenges by investigating a generalized indentation problem involving a pre-tensioned elastic sheet on a mattress foundation, considering both punch and spherical indenters. By linearizing the Föppl–von Kármán equations and the elastic foundation under small indentation depth, we obtain a set of asymptotic solutions that quantify the effects of pre-tension and indenter geometry on indentation stiffness. These solutions show excellent agreement with numerical solutions in various parameter regimes that we classify. We also discuss sources of nonlinearities arising from the kinematics in sheet stretching and the evolving contact radius in spherical indentation. The results should be of direct use for the nanometrology of layered materials where indentation remains one of the most accessible techniques for characterizing mechanical properties at small scales.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113346"},"PeriodicalIF":3.4,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724341","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":"Upscaling transformation plasticity using full field fast Fourier transform simulations of polycrystals undergoing phase transformations under applied loads","authors":"Shahul Hameed Nambiyankulam Hussain ,&nbsp;Daniel Weisz-Patrault ,&nbsp;Benoit Appolaire ,&nbsp;Sabine Denis ,&nbsp;Amico Settefrati","doi":"10.1016/j.ijsolstr.2025.113337","DOIUrl":"10.1016/j.ijsolstr.2025.113337","url":null,"abstract":"<div><div>Transformation plasticity has been intensively studied because of its significant impact on various industrial fabrication and forming processes. The widely used analytical macroscopic models are based on idealized microstructures and strong assumptions. Such models predict linear (or weakly non-linear) dependence between the transformation plastic strain rate and the applied load, whereas experimental evidence shows that this dependence becomes highly non-linear when the applied stress becomes non-negligible with respect to the macroscopic yield stress. Such a non-linear response is not fully understood especially for phase transformations arising at high temperatures for which the product phase is often softer than the parent phase, and involving visco-plastic behavior.</div><div>Therefore to overcome this difficulty, the first key contribution of this paper is to exhibit the detailed mechanisms leading to transformation plasticity in steels undergoing austenite to ferrite phase transformation at high temperature and to explain the non-linear dependence between the transformation plastic strain and the applied load. To do so, full-field simulations of visco-plastic polycrystalline aggregates undergoing phase transformations under applied load are performed. In addition, the second key contribution consists in upscaling the outcomes obtained at the scale of the polycrystal into a macroscopic statistical model, that can be used for large simulations of industrial processes. To do so, a database of computations with various initial microstructures, grain shape distributions, and applied loads have been performed, and used to derive the macroscopic statistical model. Of course, to create such a database, a relatively short computation time should be obtained for the full-field simulations, which is achieved by using a fast Fourier transform-based algorithm.</div><div>Numerical results showed that the combination of two different mechanisms may explain the non-linear behavior of transformation plasticity with respect to the applied load. Moreover, the upscaled statistical model has been tested on full field simulations not included in the database and a good agreement was observed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113337"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143705827","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":"Self-excited fluctuation of sliding velocity induced by LuGre friction in a minimal mechanical model","authors":"Balazs J. Bekesi ,&nbsp;Gabor Csernak","doi":"10.1016/j.ijsolstr.2025.113293","DOIUrl":"10.1016/j.ijsolstr.2025.113293","url":null,"abstract":"<div><div>The paper explores various bifurcations that can occur due to the variation of the linear internal damping (bristle damping) term in the LuGre friction model. To capture the essence of the nonlinear effects associated with friction, we consider a minimal mechanical model: a block sliding on a horizontal surface, which is subjected to a constant external force and the LuGre friction force with a viscous damping term. Despite the simplicity of the mechanical model, six different bifurcation scenarios are identified, involving Hopf bifurcations. Due to the emerging limit cycles – that may undergo fold or homoclinic bifurcations, as well – the slipping velocity and the friction force fluctuate near the Stribeck characteristic at sufficiently large bristle damping values. This phenomenon can be considered as a self-excited counterpart of the well-known frictional lag phenomenon.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113293"},"PeriodicalIF":3.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724222","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":"The determination of interfacial strength in Al/SiC long fibre composites","authors":"Luke J. Rollings ,&nbsp;Samuel A. McDonald ,&nbsp;M.J. Roy ,&nbsp;Philip J. Withers","doi":"10.1016/j.ijsolstr.2025.113335","DOIUrl":"10.1016/j.ijsolstr.2025.113335","url":null,"abstract":"<div><div>The interfacial properties have been measured for a novel AA6061/SiC-C coated silicon carbide SM3256 monofilamentary fibre (Al/SiC<span><math><msub><mrow></mrow><mrow><mtext>f</mtext></mrow></msub></math></span>) MMC using a variant of the single fibre fragmentation test. In this test, fibre fragmentation is followed in situ using synchrotron X-ray diffraction to probe the axial fibre elastic strains as a function of applied loading, while X-ray radiography is used to follow the fracture sequence. In this way, the variation in axial fibre stress along the fibre is tracked and hence the variation in interfacial shear stress along the fibre inferred at various stages of fibre fragmentation. Prior to loading, the fibre was in a state of axial compression (<span><math><mo>≈</mo></math></span>280 MPa) due to thermal residual stresses representative of cooling from 200 °C. During the fragmentation process, the variations in axial strain and interfacial stress show characteristic “stick–slip” behaviour, where the fibre interface must exceed a threshold stress (<span><math><msub><mrow><mi>τ</mi></mrow><mrow><mtext>deb</mtext></mrow></msub></math></span> = 94 ± 10 MPa), close to the shear strength of the matrix before debonding. Once debonded, the fibre slides at a frictional shear stress, <span><math><msub><mrow><mi>τ</mi></mrow><mrow><mtext>fr</mtext></mrow></msub></math></span>, initially of around 40 MPa, but falling with increased sliding distance to around <span><math><msub><mrow><mi>τ</mi></mrow><mrow><mtext>fr</mtext></mrow></msub></math></span> = 15 ± 5 MPa. Radiography taken during loading, and post-mortem, indicates that interfacial failure occurs at the fibre-coating interface, leaving coating material lining the pull-out within the matrix. The accumulation of coating damage may be responsible for the progressive decrease in sliding stress with increased sliding. These sliding stresses, are much lower than observed for comparable Ti/SiC composites, and would facilitate significant fibre-pull-out and fibre bridging under fatigue conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113335"},"PeriodicalIF":3.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143705828","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":"Adhesive contact problem between thermoelectric material and rigid solid with slightly wavy surface","authors":"Yali Zhang ,&nbsp;Yueting Zhou ,&nbsp;Wenxian Yang ,&nbsp;Chenxi Zhang ,&nbsp;Shenghu Ding","doi":"10.1016/j.ijsolstr.2025.113351","DOIUrl":"10.1016/j.ijsolstr.2025.113351","url":null,"abstract":"<div><div>The thermoelectric effect is a general term for the electrical effects that arise from a temperature difference, as well as the reversible thermal effects induced by electric current, commonly including the Seebeck effect, Peltier effect, and Thomson effect. Thermoelectric devices based on the advantageous thermoelectric effect are increasing used in practical engineering, such as the temperature measurement and thermoelectric power generation. The periodic wavy contact behavior is crucial for the long-term stability and energy conversion efficiency improvement of thermoelectric devices. This paper investigates the two-dimensional periodic Maugis-Dugdale (MD) adhesion contact behavior of thermoelectric half-plane using the integral equation method. The contact problem is transformed into a singular integral equation (SIE) with the Hilbert kernel, in which the size of cohesive zone becomes the key unknown parameter. Through theoretical analysis and numerical calculation, the relationships between normal load, contact zone and adhesion zone under two dimensionless parameters including classical Tabor parameter and the ratio of the surface energy of the grooved surface to the elastic strain energy when the grooved surface is smoothed-out are analyzed, and their curve distributions during loading and unloading are discussed. The results show that rougher surfaces cause more energy loss due to adhesion hysteresis.<!--> <!-->As the total current and energy flow increase, the normal load necessary to achieve the same contact half-width also rises. This enables us to adjust the surface contact behavior by varying the thermoelectric loads, thereby altering the stress distribution on the contact surface.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113351"},"PeriodicalIF":3.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143715433","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 fracture toughness identification method for the debonding test of DCB specimens accounting for three-dimensional effects","authors":"Gabriele Cricrì ,&nbsp;Michele Perrella","doi":"10.1016/j.ijsolstr.2025.113350","DOIUrl":"10.1016/j.ijsolstr.2025.113350","url":null,"abstract":"<div><div>The fracture toughness of adhesive joints and laminated composites subjected to opening load is commonly evaluated using Double Cantilever Beam (DCB) specimens according to ISO or ASTM standards. The formulations of these standards are based on two-dimensional (2D) elastic beam models, although a three-dimensional (3D) effect, related to the curvature of the crack front in DCB specimens and affecting the measured fracture toughness, is present and reported in literature.</div><div>In this paper, a novel test set up is proposed to evaluate the energy release rate by revisiting a recently published decohesion model that implicitly considers the presence of 3D effects, without measuring the crack propagation length. The elastic behaviour of adherends in terms of Young’s modulus and only load and macroscopic angular displacements response are necessary.</div><div>Using the finite element code Ansys APDL, several decohesion test simulations of 3D DCB specimen models were performed. The fracture surfaces were modelled using cohesive elements and the adherends as isotropic material. The results obtained from the simulations were used to evaluate the accuracy of the fracture toughness obtained both through the active standards and via the novel approach, by comparison with that imposed in the cohesive law.</div><div>The results showed that the standardized data reduction schemes were affected by systematic errors up to 30%, whilst the proposed methodology gave a negligible error in the fracture toughness evaluation compared to that imposed in the cohesive law.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113350"},"PeriodicalIF":3.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697808","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":"A multiphysics framework for energy conversion from nonlinear electrostrictive dielectric elastomer generators","authors":"Alireza Nejati,&nbsp;Hossein Mohammadi","doi":"10.1016/j.ijsolstr.2025.113345","DOIUrl":"10.1016/j.ijsolstr.2025.113345","url":null,"abstract":"<div><div>In this paper, we present a multiphysics framework for studying energy conversion from highly nonlinear electrostrictive dielectric elastomer generators. This framework investigates the impact of electrostriction on dielectric elastomers’ energy harvesting. Regarding the constitutive equations, we employ constitutive models which relate the dielectric permittivity of an elastomer to a general three-dimensional state of deformation based on the statistical mechanics of a Gaussian polymer chain. An in-house computer code is written based on the developed numerical framework. Two axisymmetric dielectric elastomer generators are studied: a circular diaphragm generator and a cylindrical tube generator. In this research, the case studies are diverse, though they focus on the electrostriction phenomenon. Our study demonstrates that the more negative (positive) the electrostrictive coefficient, the better (worse) the energy harvesting. More specifically, there exist cases in which we have improved the energy harvesting of the circular diaphragm generator and the cylindrical tube generator on average by 41.27, and 40.91 percent, respectively.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113345"},"PeriodicalIF":3.4,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143682378","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 high-precision non-classical method to solve fractional rheology and viscoelastic vibration: Linear computational complexity and experimental verification","authors":"Tian-Ming Liu,&nbsp;Yan-Mao Chen,&nbsp;Ji-Ke Liu,&nbsp;Qi-Xian Liu","doi":"10.1016/j.ijsolstr.2025.113341","DOIUrl":"10.1016/j.ijsolstr.2025.113341","url":null,"abstract":"<div><div>The theory of fractional calculus can precisely depict the non-integer order characteristics of materials, especially when it comes to predicting viscoelastic behaviors such as rheology and viscoelastic damping. Despite the marked superiority of fractional calculus in the realm of viscoelastic material modeling, its numerical processing encounters numerous challenges. This is because traditional computational methods for handling such problems must deal with a large amount of historical data, thus leading to low efficiency. Moreover, existing non-classical methods typically find it arduous to simultaneously take into account both computational accuracy and efficiency. In light of the aforementioned issues, this study presents an innovative non-classical computational approach. Through the implementation of the piecewise processing strategy, this study effectively addresses the inherent limitation of weak algebraic decay in the infinite state representation associated with non-classical methods. This innovative approach not only achieves a substantial improvement in computational accuracy but also maintains an efficient linear computational complexity, thereby striking an optimal balance between precision and computational efficiency. This method has been successfully applied to the solution of multi-component fractional viscoelastic constitutive equations and verified through experiments. Furthermore, based on the nonlocal strain gradient theory and the fractional-order constitutive relation, the nonlinear motion equation of the fractional viscoelastic nanobeam is derived. Comparative analyses of the vibration responses of the linear and nonlinear models are conducted, revealing the nonlinear viscoelastic damping characteristics of the system. The research outcomes indicate that this method is applicable to addressing fractional viscoelastic mechanics problems and holds the potential to extend to a broader category of fractional differential equations, being capable of providing computational support for multiple disciplines.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113341"},"PeriodicalIF":3.4,"publicationDate":"2025-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143696065","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":"Local field statistics in linear elastic unidirectional fibrous composites","authors":"Tarkes Dora Pallicity ,&nbsp;Maximilian Krause ,&nbsp;Thomas Böhlke","doi":"10.1016/j.ijsolstr.2025.113343","DOIUrl":"10.1016/j.ijsolstr.2025.113343","url":null,"abstract":"<div><div>Statistical fluctuations of local tensorial fields beyond the mean are relevant to predict localized failure or overall behavior of the inelastic composites. The expression for second moments of the local fields can be established using the Hill-Mandel condition. Complete estimation of the statistical fluctuations via second moments is usually ignored despite its significance. In Eshelby-based mean-field approaches, the second moments are evaluated through derivatives of Hill’s Polarization tensor <span><math><mfenced><msub><mi>ℙ</mi><mi>o</mi></msub></mfenced></math></span> using a singular approximation. Typically, semi-analytical procedures using numerical integration are used to evaluate the derivatives of the polarization tensor <span><math><msub><mi>P</mi><mi>o</mi></msub></math></span>. Here, new analytically derived explicit expressions are presented for calculating the derivatives, specifically for unidirectional fibrous composites with isotropic phases. Full-field homogenization using finite element is used to compute the statistical distribution of local fields (exact solution) for the class of random fibrous microstructures. The mean-field estimates are validated with the exact solution across different fiber volume fractions and aspect ratios. The results indicate that the fiber volume fraction significantly influences the fluctuation of stress tensor invariants, whereas the aspect ratio has minimal effect.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113343"},"PeriodicalIF":3.4,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724220","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}