International Journal of Solids and Structures最新文献

{"title":"TPMS-based scaffolds: Adaptation of morphological properties and mechanical response to reference tissue","authors":"Nataliya Elenskaya ,&nbsp;Mikhail Tashkinov ,&nbsp;Vadim V. Silberschmidt","doi":"10.1016/j.ijsolstr.2025.113366","DOIUrl":"10.1016/j.ijsolstr.2025.113366","url":null,"abstract":"<div><div>Tissue engineering of bones is based on repair and replacement of their damaged parts with artificial scaffolds that have similar morphometric, mechanical, and biological properties. This study proposes a new approach to tailor the geometry and mechanical response of a scaffold to those of the micro-CT model of a reference bone tissue using target’s morphometric parameters such as mean trabecular thickness and porosity. A design approach for scaffolds is based on triply periodic minimal surfaces (TPMS), adapted by adjusting their surface parameters, number and orientation of unit cells. A match of stresses distributions in a scaffold with that of the reference model under the same loading conditions was used for comparison of their mechanical responses. The effect of the TPMS-based unit-cell type on the morphometric properties of the structure is studied, and the mechanical behaviour of the structures under uniaxial compression and shear loading is numerically simulated. The results indicate that the spatial orientation of the unit cell significantly affects the mechanical response and stress intensity under different mechanical loads. Several TPMS structures were identified with a good agreement with the reference model in terms of mechanical response for the controlled morphometric parameters of porosity and mean wall thickness.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113366"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785798","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":"Rescaling and mesoshear deformations of lattice metamaterials","authors":"M. Spagnuolo ,&nbsp;V.A. Eremeyev ,&nbsp;F. D’Annibale ,&nbsp;F. Hild","doi":"10.1016/j.ijsolstr.2025.113349","DOIUrl":"10.1016/j.ijsolstr.2025.113349","url":null,"abstract":"<div><div>Experimental results are presented for a lattice metamaterial with a complex mesostructure composed of parallel fibers aligned at different levels. The experimental evidence suggests that the fibers, in addition to their own deformations, such as elongation and bending, and to the relative rotation between two adjacent layers, may also slide relative to each other under certain conditions. This deformation mechanism is taken into account and used as a key hypothesis in the development of a new continuum model. A remarkable rescaling property possessed by the considered metamaterial is also discussed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113349"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800582","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":"Different mechanical models for the study of ultrasonic wave dispersion for mechanical characterization of construction materials","authors":"Nicola De Fazio ,&nbsp;Luca Placidi ,&nbsp;Andrea Tomassi ,&nbsp;Aguinaldo Fraddosio ,&nbsp;Anna Castellano ,&nbsp;Francesco Paparella","doi":"10.1016/j.ijsolstr.2025.113352","DOIUrl":"10.1016/j.ijsolstr.2025.113352","url":null,"abstract":"<div><div>It is well known from the literature that the phase velocity of waves is directly correlated with the stiffness of the material; however, experimental practice shows that this velocity changes significantly with varying frequencies, despite the fact that the elastic modulus of the material is, by definition, a material constant. We explore the dependence on the frequency of longitudinal ultrasonic plane waves velocity in construction materials, both from experimental and modeling points of view. For the sake of simplicity, the dispersive features are modeled by considering the case of a 1D medium, and two different kinds of mechanical models capable of describing wave dispersion phenomena are employed: a non-dissipative strain-gradient elastic model, and a dissipative viscoelastic one. In both cases, by using the extended Rayleigh–Hamilton principle, we derive the governing equations for 1D bulk waves propagation; in particular, in the case of the dissipative viscoelastic model either classical linear damping or Kelvin–Voigt damping is considered. The comparison of theoretical results with experimental findings obtained by ultrasonic tests on natural (sandstone) and artificial (concrete) construction materials shows that both theoretical models can satisfactorily describe the experimental behavior. These results encourage further experimental investigations for a clear and quantitative identification of the model that can be better used for engineering purposes.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113352"},"PeriodicalIF":3.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143768130","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":"Geometrically nonlinear analysis of graphene-reinforced bioinspired architectures-based microplates","authors":"Nam V. Nguyen","doi":"10.1016/j.ijsolstr.2025.113356","DOIUrl":"10.1016/j.ijsolstr.2025.113356","url":null,"abstract":"<div><div>Nature-inspired metamaterials with tunable mechanical properties have recently emerged as an excellent design solution for engineering applications in diverse fields. Establishing mathematical models for analyzing such intriguing materials, however, remains to ongoing challenge. This study represents the first attempt to evaluate the size-dependent nonlinear bending characteristics of graphene-reinforced triply periodic minimal surface (TPMS)-based microplates. We employ a computational approach that integrates four-variable refined plate theory and modified couple stress theory within the framework of NURBS-based isogeometric analysis to assess the nonlinear behavior of advanced microplates. Theoretical models of three typical sheet-based TPMS architectures, i.e. Primitive, Gyroid, and IWP (I-graph and Wrapped Package-graph), with uniform and two gradient porosity distributions, are considered. Additionally, the mechanical performance of cellular TPMS architectures is enhanced by the graphene-reinforcing phase with three different distribution patterns. Efficient homogenization models are here adopted to evaluate the effective mechanical characteristics of advanced cellular composite materials. For the first time, the complicated relationship between structural parameters and size-dependent nonlinear bending behavior concerning distribution types of porosity and graphene is presented and discussed in detail. This study represents a remarkable step towards exploring the intricate nonlinear mechanical responses of graphene-reinforced TPMS microplates as well as offering promising prospects for future designs utilizing lightweight bio-inspired metamaterials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113356"},"PeriodicalIF":3.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808723","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":"Time-dependent effective properties and local physical fields of polymer-based piezoelectric composites/nanocomposites via extended local-exact homogenization theory","authors":"Mengyuan Gao ,&nbsp;Rui Wu ,&nbsp;Zhelong He ,&nbsp;Guannan Wang","doi":"10.1016/j.ijsolstr.2025.113365","DOIUrl":"10.1016/j.ijsolstr.2025.113365","url":null,"abstract":"<div><div>In this paper, the micromechanics model (local-exact homogenization theory – LEHT) for composites is extended to the piezoelectric time domain to predict the time-dependent effective properties and local physical fields of polymer-based piezoelectric composites/nanocomposites with energetic surfaces using the electroelastic-viscoelectroelastic correspondence principle. The interface is modeled using a generalized Gurtin-Murdoch (G-M) model for piezoelectric nanocomposites, taking into account of discontinuities of both interface stresses and electrical displacement. The method introduces the boundary-value problem and the composite homogenization constitutive equations into the Laplace domain for solutions, and subsequently transforms the macroscopic and microscopic responses into the time domain by a numerical-stable Zakian method, which avoids step-by-step iteration of the viscoelectroelastic constitutive equations in an integral-containing form. The consistency between the proposed method and the extended Eshelby solution and Asymptotic Homogenization Method (AHM) in the literature validates the accuracy of the approach. Finally, different rheological models are used to analyze the effects of matrix’ viscoelastic properties, fiber/matrix volume ratio, temperature and interfacial parameters on the long-term effective performance and local responses of piezoelectric composites/nanocomposites. The results demonstrate that this method not only efficiently predicts the long-term properties of piezoelectric materials but also accurately recovering the local stress and electric displacement distributions in the representative unit cells (RUCs). In addition, the study of interfacial effects provides theoretical support for understanding and optimizing the practical properties of piezoelectric composites. These results contribute to their efficiency and stability in the field of sensors, actuators and energy harvesters.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113365"},"PeriodicalIF":3.4,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143747515","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":"Deformation-dependent effective mobility in Structural Battery Electrolytes","authors":"Vinh Tu ,&nbsp;Fredrik Larsson ,&nbsp;Kenneth Runesson ,&nbsp;Ralf Jänicke","doi":"10.1016/j.ijsolstr.2025.113342","DOIUrl":"10.1016/j.ijsolstr.2025.113342","url":null,"abstract":"<div><div>This paper considers chemical diffusion in a Structural Battery Electrolyte (SBE) under the influence of finite deformation, which serves as a first step towards the more rigorous electro-chemically coupled modeling of deformation-dependent ionic transport in SBEs. The SBE is a porous (bicontinuous) microstructure consisting of a solid (polymer) skeleton, and pores filled with a liquid electrolyte. We present a variationally consistent computational homogenization scheme and exploit 3D-representation of the microstructure to compute the deformation-dependent effective mobility via direct upscaling in a two-step procedure (sequentially coupled approach). The pertinent RVE problem is established for the mechanical (equilibrium) problem under macro-scale deformation control, while adopting Neo-Hooke hyperelasticity for the fine-scale modeling of the solid skeleton. Thereby, the elastic moduli are calibrated based on experimental data for the effective response. Subsequently, Fickian diffusion, with a constant mobility in the liquid electrolyte is considered in the deformed pore space. Exploiting a pull-back to the reference configuration, we avoid remeshing while still incorporating the necessary pore space deformation. By adopting a suitable constitutive model for the fictitious solid in the pore space, we also prevent self-penetration of the solid skeleton during deformation, which mimics contact behavior without explicitly solving a computationally expensive contact problem involving contact search. Upon homogenizing the local ionic flux, we obtain the effective mobility pertaining to the macro-scale chemical potential gradient, while noting that the RVE-problem is linear in the chemical potential for a given macro-scale deformation gradient. The numerical results show that when the macro-scale loading is of compressive type, the pore volume is reduced and, as a direct consequence, the effective mobility becomes smaller. In essence, the framework can track the geometrically induced anisotropy of the RVE under mechanical loading, corresponding to a change in the computational domain for the transport problem, thereby influencing the ionic flux. E.g. for a bicontinuous SBE with 37% initial porosity and an externally applied macroscopic compression of 20% strain, we could observe up to 26% reduction in the effective mobility components.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113342"},"PeriodicalIF":3.4,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737933","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 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":"Extension of von-Mises failure criterion for comprehensive mixed-mode I/II fracture assessment of orthotropic materials","authors":"Elahe Kouhestani,&nbsp;Mahdi Fakoor","doi":"10.1016/j.ijsolstr.2025.113363","DOIUrl":"10.1016/j.ijsolstr.2025.113363","url":null,"abstract":"<div><div>This study aims to propose a general fracture criterion for cracked orthotropic materials that incorporates normal and shear modes of fracture. For this purpose, an extension of the von-Mises failure criterion, commonly applied to isotropic materials, is utilized to analyze the fracture behavior of orthotropic materials within the linear elastic fracture mechanics (LEFM) framework. The new failure criterion presented in this research is called the extended von-Mises criterion (EVM). The presented criterion is promoted in conjunction with reinforced isotropic solid (RIS) concept which is an efficient material model suitable for orthotropic materials. Thus, the role of the fibers in strengthening the matrix is considered as coefficients in the isotropic stress field of the matrix. This combination is able to properly account for the reinforcing effects of the fibers and the anisotropic mechanical properties of the materials and improve the accuracy of failure predictions. EVM criterion is presented for two different crack propagation scenarios: along and perpendicular to the fibers. In the latter case, kinked crack phenomenon is considered involving crack rotation along the fiber direction, upon encountering the fibers. To investigate EVM accuracy and applicability, this criterion is examined for some wooden species. The fracture limit curves of EVM show promising results when compared to experimental data, indicating that the proposed criterion can accurately predict the failure behavior of materials. It demonstrates performance comparable to the energy-based criterion. The application of RIS theory to enhance this criterion led to a notable increase in its predictive accuracy, suggesting a deeper understanding of the material’s behavior. This enhancement improved performance by 17–20%, and the analysis of the results was conducted with greater precision.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113363"},"PeriodicalIF":3.4,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143777484","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}