International Journal of Solids and Structures最新文献

{"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":"Flexoelectric metamaterials design based on anti-trichiral structure","authors":"Hui Jiang ,&nbsp;Tianhao Lu ,&nbsp;Tingjun Wang ,&nbsp;Zewei Hou ,&nbsp;Xueyun Wang ,&nbsp;Yingzhuo Lun ,&nbsp;Jiawang Hong","doi":"10.1016/j.ijsolstr.2025.113347","DOIUrl":"10.1016/j.ijsolstr.2025.113347","url":null,"abstract":"<div><div>Flexoelectricity is characterized by the polarization in response to strain gradients. Since the flexoelectric effect is not restricted by crystalline symmetry and exists in all dielectrics, flexoelectric metamaterials offer a promising approach to achieve apparent piezoelectricity in non-piezoelectric materials through structural design. In this work, a bending-dominated anti-trichiral structure is utilized to design a flexoelectric metamaterial. Theoretical analysis and finite element simulations reveal that external axial compression enable the rotation of solid cylinders and consequently leads to a bending deformation in ligaments. The superposition of the flexoelectric charges of the bent ligaments makes the anti-trichiral structure exhibit apparent piezoelectricity. The effective piezoelectric coefficient is theoretically predicted to exceed 3000 pC/N by optimizing the structural parameters, such as reducing the ligament thickness to hundreds of micrometers. Resin- and unpoled lead zirconium titanate-based metamaterials are fabricated by 3D printing and laser cutting, respectively. Both specimens exhibit apparent piezoelectricity subjected to axial dynamic loads. The measured piezoelectric coefficient is consistent with the theoretical predictions, verifying the design strategy. This work offers insights into the design of flexoelectric metamaterials and highlights the potential of mechanical metamaterials for high-performance sensing and energy harvesting applications utilizing the flexoelectric effect.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113347"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737932","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 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}

{"title":"Dynamic stress intensity factors for the sharp notch problem with the tip located at the interface","authors":"Grzegorz Mieczkowski ,&nbsp;Hubert Dębski","doi":"10.1016/j.ijsolstr.2025.113344","DOIUrl":"10.1016/j.ijsolstr.2025.113344","url":null,"abstract":"<div><div>This study focuses on determining the dynamic stress intensity factors (DSIF) for sharp notches located at the interface of bi-material structures. Plane elements with single-sided notches subjected to uniaxial tension with a Heaviside-function time dependence were analysed using the finite element method (FEM). The stress fields near the notch tip were computed and the DSIF values were derived through a developed linear extrapolation function. The accuracy of this methodology was verified by comparing the results with data from centrally cracked homogeneous bars. While existing DSIF determination methods largely focus on homogeneous materials and central crack problems, this study introduces an enhanced analytical–numerical method tailored for bi-material interfaces with sharp notches, addressing the specific challenges posed by such configurations. The analysis revealed that the DSIF values oscillated due to the interference and diffraction of mechanical waves at the notch tip, with peak values typically occurring in the third oscillation cycle. These oscillations are influenced by the notch angle, height, and relative stiffness of the bi-material components. The findings underscore the significance of case-specific analyses for accurate fracture behaviour predictions and provide valuable insights for the design of bi-material structures under dynamic loads.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113344"},"PeriodicalIF":3.4,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143643521","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":"Coupled arches: A new class of free-form funicular structures","authors":"Ágoston P. Szesztay,&nbsp;Péter L. Várkonyi","doi":"10.1016/j.ijsolstr.2025.113287","DOIUrl":"10.1016/j.ijsolstr.2025.113287","url":null,"abstract":"<div><div>We investigate form finding of funicular structures composed of two slender, planar arches connected by a dense sequence of cables. Two problem formulations based on nonlinear algebraic equations, and on differential equations are developed. Both of them accept prescribed arch geometry and loads as input, and generate an appropriate geometry of connectors enabling static equilibrium of all components without shear or bending. Investigation of the solution sets reveals rich geometric structures, bifurcations, and singularities. Our results have a wide range of applications including the conceptual design and form finding of planar arch, suspension, cable-stayed, and harp bridges, cable trusses, and beams with external post-tensioning.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113287"},"PeriodicalIF":3.4,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684572","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 generalized descriptions of elastic constitutive model and equation of state for nonaxisymmetrical large deformation of cubic crystals under extreme high pressures","authors":"Hongyu Wang,&nbsp;Linli Zhu","doi":"10.1016/j.ijsolstr.2025.113336","DOIUrl":"10.1016/j.ijsolstr.2025.113336","url":null,"abstract":"<div><div>The large deformation behavior of materials under extreme high pressures has become a key focus in high-pressure science research. The diamond anvil cell (DAC) experiments have revealed anomalous volume-pressure (<em>V/V₀</em> – <em>P</em>) relationships, which have driven the development of more widely applicable high-pressure equations of state with higher precision. Traditional equations of state often could not involve the anisotropic factors appearing in DAC experiments, which is one of the primary reasons for the lack of precision. Based on the theoretical framework of Birch and Murnaghan, this work derives the anisotropic compression large deformation constitutive relations and the equations of state from both the Lagrangian and Eulerian perspectives, and extends them to describe the strain hardening effects on second-order elastic constants and bulk modulus. Using these theoretical descriptions, the volume-pressure relationships for four face-centered cubic (FCC) metals (Au, Ag, Cu, Ni) and four body-centered cubic (BCC) metals (Mo, Fe, W, Ta) are calculated, and validate the volume-pressure relationship through atomic-scale simulations. The impact of nonaxisymmetry on the pressure and volume changes is quantified, and it is revealed that the nonaxisymmetry amplifies the pressure difference for the same deformation and increases the volume difference for the same pressure. Additionally, the changes in second-order elastic constants and bulk modulus are investigated to analyze the anisotropic strengthening of elastic properties in various metal materials due to anisotropic deformation. The discrepancy of the predicted bulk modulus from the third-order Birch and Murnaghan equation evaluated by comparing the precise solutions from the generalized equation of state under nonaxisymmetrical conditions. It is found that the discrepancy increases with enlarging the degree of nonaxisymmetry, and the discrepancy for BCC metals is generally higher than that for FCC metals. The present theoretical models for the elastic constitutive behavior and the equation of state could provide the precise descriptions for the elastic performance under extreme high-pressure conditions and the theoretical supports for the design of pressure-resistant materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113336"},"PeriodicalIF":3.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631965","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 chemo-thermo-mechanical coupled phase-field model for complex early-age concrete mesoscale fracture simulations","authors":"Hui Li,&nbsp;Shanyong Wang","doi":"10.1016/j.ijsolstr.2025.113340","DOIUrl":"10.1016/j.ijsolstr.2025.113340","url":null,"abstract":"<div><div>Complex crack propagation at micro/<em>meso-</em>scale in heterogeneous early-age concrete is usually induced by non-uniform shrinkage and thermal expansion during hydration processes, directly affecting the loading-carrying capacity of concrete structures and their systems. Prediction of such early-age fracture is essential for investigating its effects on the macroscopic mechanical performance of concrete and further optimizing structural design. To this end, this study proposes a novel mesoscale hydration-induced fracture modelling method combining a chemo-thermo-mechanical coupled phase-field model and random aggregate models for complex mesoscale early-age concrete fracture simulations. In this method, the Fourier’s law and the Arrhenius’s law are used to simulate heat transfer and hydration reaction in heterogeneous models, respectively. The temperature and hydration degree of solids are fully incorporated into the governing equations of the phase-field regularized cohesive zone model to efficiently simulate complicated chemo-thermally induced fracture, without the need of remeshing, crack tracking or auxiliary fields. The resultant displacement-temperature-hydration degree-damage four-field coupled system of equations is solved using a staggered Newton–Raphson iterative algorithm within the finite element framework. The new method is first verified by a heat convection problem with numerical solutions and a hydration fracture problem of a concrete ring with experimental data. Mesoscale fracture modelling of an early-age concrete square is then carried out to investigate the effects of mesh size, phase-field length scale, boundary conditions, and the distribution and volume fraction of random aggregates, on concrete hydration. It is found that the present method is capable of accurately and robustly modelling chemo-thermally induced mesoscale multi-crack propagation, with insensitivity to mesh size and phase-field length scale. The capacity of modelling complex heterogeneous early-age cracking, as well as its potential for advancing structural design and optimization, is well demonstrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113340"},"PeriodicalIF":3.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631966","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":"Elastoplastic characterization of rolled C11000 copper sheets via a coupled calibration methodology: Experiments, modeling, and simulation","authors":"Alvaro Navarrete ,&nbsp;Matías Pacheco-Alarcón ,&nbsp;Julio Méndez ,&nbsp;Claudio M. García-Herrera ,&nbsp;Diego J. Celentano ,&nbsp;Javier W. Signorelli","doi":"10.1016/j.ijsolstr.2025.113314","DOIUrl":"10.1016/j.ijsolstr.2025.113314","url":null,"abstract":"<div><div>A comprehensive study of the post-necking response of materials is a relevant aspect in many metal-forming applications. For this purpose, the proposal of a suitable constitutive model to describe the elastoplastic response, an adequate material characterization, and the rise of numerical simulation as a feasible tool in the control and design of parts subjected to plastic deformation are key aspects that have to be addressed. In this context, to characterize the elastoplastic behavior of rolled C11000-H2 99.90% pure copper sheets, a constitutive model accounting for appropriate yield criterion function (Cazacu–Plunket–Barlat 06, named CPB-06) and hardening law (modified Voce) is presented. In this material, the necking formation is produced at low levels of strain (5% approximately in a tensile test). The 3D stress state that develops afterward is a critical aspect that must be considered when developing an adequate characterization of this material. Therefore, there is a need to formulate an effective and robust strategy to determine the model parameters. In this regard, a coupled calibration procedure is proposed, using a combined experimental–analytical–computational approach. To calibrate the model parameters, this methodology is used with experimental results of proportional loading paths corresponding to uniaxial tensile tests carried out in seven in-plane directions, along with the equi-biaxial condition via hydraulic bulge tests. Then, uniaxial tensile tests under non-proportional loading paths, with specimens previously pre-strained along the rolling direction of the sheets to two levels, both beyond the ultimate tensile strength (UTS) zone: 0.07 and 0.14, are used subsequently to evaluate the performance of the model previously calibrated. The reasonably good experimental–numerical agreement in the material response for these last cases successfully validated the proposed characterization methodology.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113314"},"PeriodicalIF":3.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629030","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}