International Journal of Solids and Structures最新文献

{"title":"Deformation and stability of initially stressed hyperelastic plates","authors":"Soumya Mukherjee ,&nbsp;Prashant Saxena","doi":"10.1016/j.ijsolstr.2025.113253","DOIUrl":"10.1016/j.ijsolstr.2025.113253","url":null,"abstract":"<div><div>Initial/residual stress is inherent in nearly all natural and engineered structures. This paper presents a comprehensive theory for modelling residually stressed, growing plates. By constructing a two-dimensional representation of three-dimensional solid mechanics, we avoid any need for prior assumptions about deformation fields. This approach reformulates both the initial stress fields and deformation gradients in three-dimensional space through planar quantities, yielding a set of plate equations that govern their interactions. This framework enables modelling of various naturally and artificially generated planar structures with residual stress and growth, such as plant leaves and additively manufactured plates.</div><div>To explore the wrinkling instabilities that often arise in such structures, we derive a principal solution for an initially stressed, growing plate supported by Winkler foundations. We then apply linear perturbation to examine bifurcation phenomena, solving the resulting governing equations analytically and computationally. The numerical scheme is validated with analytical results and shows promise for solving more geometrically complex instability problems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113253"},"PeriodicalIF":3.4,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379104","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":"Free vibration and buckling analysis of simply supported rectangular nano-plates: A closed-form solution based on nonlocal 3D elasticity theory","authors":"Parvaneh Nateghi-Babagi ,&nbsp;Bahram Navayi-Neya ,&nbsp;Morteza Eskandari-Ghadi","doi":"10.1016/j.ijsolstr.2025.113261","DOIUrl":"10.1016/j.ijsolstr.2025.113261","url":null,"abstract":"<div><div>Free vibration and stability analysis of simply supported rectangular nano-plates is presented based on Eringen’s nonlocal elasticity theory, where an exact solution is proposed to determine natural frequencies and critical buckling loads of nonlocal plates. Accordingly, a set of new scalar potential functions is introduced to decouple either coupled equations of motion or buckling equations. Afterward, the method of separation of variables is utilized to solve PDEs governing potential functions in each case. Followingly, solutions of potential functions and displacements are expressed in the form of double Fourier series. However, the accuracy of the present method is confirmed by comparing the obtained results with the simpler case of molecular dynamic simulation, and other nonlocal methods. It is also noteworthy that this study presents a novel method with high accuracy and precision which facilitates analysis of nano systems. The developed scheme can be useful for vibration and stability analysis of two- and three-dimensional systems in nano dimensions. Small-scale, aspect ratio and thickness ratio effects in vibration and stability analysis are also investigated. Final results demonstrate that the thickness ratio has a significant effect on the vibrational and stability behavior of nanoplates, which is increased by considering non-local relationships in three dimensions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113261"},"PeriodicalIF":3.4,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419997","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":"Electro-thermal vibration of graphene platelets reinforced functionally graded piezoelectric microplates under different boundary conditions","authors":"Van-Loi Nguyen ,&nbsp;Naruethep Sukulthanasorn ,&nbsp;Watanachai Smittakorn ,&nbsp;Jaroon Rungamornrat","doi":"10.1016/j.ijsolstr.2025.113273","DOIUrl":"10.1016/j.ijsolstr.2025.113273","url":null,"abstract":"<div><div>The paper presents, for the first time, the electro-thermal vibration behavior of novel graphene platelet (GPL)-reinforced functionally graded piezoelectric material (FGPM) microplates under various boundary conditions. The matrix material consists of two piezoelectric materials, with properties varying continuously across the thickness according to a power-law model. The FGPM matrix is reinforced by GPLs in five distribution patterns: symmetric-1 (G1), symmetric-2 (G2), asymmetric-1 (G3), asymmetric-2 (G4), and uniform (G5). The smart microplate model is developed using the four-variable refined plate theory (RPT-4) and modified couple stress theory. Its accuracy and reliability are validated through the Rayleigh-Ritz method, showing excellent agreement with benchmark results. A comprehensive investigation is conducted into the effects of GPL reinforcement, power-law index, boundary conditions, size dependency, side-to-thickness ratio, applied voltage, and temperature rise on the fundamental frequency of the smart microplates.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113273"},"PeriodicalIF":3.4,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143611476","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":"Discussion of: “A numerical study on tensile strength of low-density Kagome networks made of brittle fibers” by S.M. Mane, K.M. Liechti, R. Huang [Int. J. Solids Struct. 302 (2024) 112987]","authors":"Michael Ryvkin","doi":"10.1016/j.ijsolstr.2025.113274","DOIUrl":"10.1016/j.ijsolstr.2025.113274","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113274"},"PeriodicalIF":3.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471697","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":"Response to “A numerical study on tensile strength of low-density Kagome networks made of brittle fibers”","authors":"Rui Huang,&nbsp;Kenneth M. Liechti","doi":"10.1016/j.ijsolstr.2025.113275","DOIUrl":"10.1016/j.ijsolstr.2025.113275","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113275"},"PeriodicalIF":3.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471698","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":"Characterization of orientational order for arbitrary-shaped particles and its applications in granular assemblies","authors":"Chuang Zhao ,&nbsp;Chengbo Li","doi":"10.1016/j.ijsolstr.2025.113257","DOIUrl":"10.1016/j.ijsolstr.2025.113257","url":null,"abstract":"<div><div>Within granular assemblies, different arrangement structures of the particles can also affect the macroscopic mechanical properties of the system. Characterizing the particle order parameter is a prerequisite for studying the properties of the system. The order parameter of arbitrarily shaped particle can be characterized by Wigner D-matrices or the super-tensor basis, and the super-tensor basis more clearly explains the physical meaning of the order parameter. However, the expressions for the super-tensor basis are complex, and explicit expressions for orders higher than three are rarely provided in the literature. This paper reveals the relationship between the super-tensor basis and the projection operators, which decomposes symmetric tensors into irreducible tensors. Explicit expression for the projection operator is provided, and the consistency with the existing recursive expression and differential expression is demonstrated. Based on this, the expression for super-tensor basis of any order is derived, and the orthogonality of super-tensor basis is provided. Finally, the sound propagation in a biaxial super-ellipsoid particle system is simulated by the discrete element method, and the sound velocity is also calculated. The results indicate that different arrangement structures can affect the sound velocity. From the perspectives of order parameter and elastic moduli, the differences in sound velocities of different packing structures are explained. The explicit expressions of the projection operator and the super-tensor basis provided in this paper facilitate the convenient calculation of the anisotropy of other physical quantities within the system, which can be utilized to elucidate the macroscopic mechanical properties of the system.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113257"},"PeriodicalIF":3.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143387927","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":"Corrigendum to “A numerical study on tensile strength of low-density Kagome networks made of brittle fibers” [Inter. J. Solids Struct. 302 (2024) 112987]","authors":"Soham M. Mane,&nbsp;Kenneth M. Liechti,&nbsp;Rui Huang","doi":"10.1016/j.ijsolstr.2025.113255","DOIUrl":"10.1016/j.ijsolstr.2025.113255","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113255"},"PeriodicalIF":3.4,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143240326","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":"Anisotropic hyper-visco-pseudoelastic damage constitutive model for fiber-reinforced flexible composites considering a temperature effect","authors":"Yifeng Dong ,&nbsp;Zeang Zhao ,&nbsp;Xiaoyao Xu ,&nbsp;Yutong Fu ,&nbsp;Heng Yang ,&nbsp;Ying Li ,&nbsp;Daining Fang","doi":"10.1016/j.ijsolstr.2025.113254","DOIUrl":"10.1016/j.ijsolstr.2025.113254","url":null,"abstract":"<div><div>Fiber-reinforced flexible composites (FRFCs) and flexible structures are widely used in applications such as soft actuators and biomedical engineering owing to their excellent flexibility and toughness. However, the temperature-sensitive and history-dependent stress-softening effect during cyclic loading–unloading processes cannot be adequately described by the existing theoretical models. In this study, an anisotropic hyper-visco-pseudoelastic damage constitutive model that considers the temperature effect is established to examine the cyclic stress-softening effect and residual-deformation behavior of FRFCs. This model combines the hyper-visco-pseudoelastic theory and continuum damage mechanics while incorporating the influence of temperature. To quantify the degree of damage during cyclic loading–unloading processes, an anisotropic damage evolution law that satisfies thermodynamic constraints is proposed. Additionally, it has been demonstrated that a comprehensive consideration of viscoelasticity, pseudoelasticity, and the damage effect is crucial for accurately describing the cyclic stress-softening effect. Furthermore, a numerical computational framework is presented to analyze the cyclic softening effect and residual deformation in FRFCs and flexible structures. The effectiveness of the constitutive model and numerical computational framework are validated by conducting cyclic loading–unloading experiments at different temperatures. A good agreement is observed between the results of theoretical calculations and numerical simulations and experimental data, confirming the advantages of the proposed constitutive model and numerical computational framework in accurately describing the softening effect and residual deformation of FRFCs, soft biological tissues, and flexible structures with complex structural forms. This study provides theoretical guidance and numerical computation techniques for improving the performance stability of FRFCs and novel flexible structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113254"},"PeriodicalIF":3.4,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166723","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":"Circumferential wave propagation in nonlinear dielectric bilayer tubes under inhomogeneous biasing fields","authors":"Zi–Hao Miao ,&nbsp;Wei Wang ,&nbsp;Yi–Ze Wang","doi":"10.1016/j.ijsolstr.2025.113247","DOIUrl":"10.1016/j.ijsolstr.2025.113247","url":null,"abstract":"<div><div>Dielectric elastomer structures with large deformation and electromechanical coupling are susceptible to biasing fields and show potentials in tunable elastic wave devices. This work focuses on circumferential waves in the incompressible isotropic dielectric bilayer tube subjected to an axial pre–stretch and radial voltage. Based on the nonlinear electroelasticity theory, the deformation of the structure characterized by the Gent ideal dielectric model is elaborated. The strain–stiffening enables the bilayer tube to resist large deformation and enhances the tunability under inhomogeneous biasing fields. In order to analyze the dynamic behaviors of circumferential shear horizontal (CSH) and Lamb–like (CLT) waves, the Legendre polynomial expansion method (LPEM) is combined with the linearized incremental equations to derive the dispersion relation. It overcomes the difficulties of conventional matrix methods in dealing with radial dependent electroelastic moduli and shows good convergence. Numerical results demonstrate that the pre–stretch, voltage and strain–stiffening can change the geometry and electroelastic moduli of the dielectric tube, which exhibit the potential to tune the propagation behaviors of circumferential waves. In addition, dispersion properties of circumferential waves are sensitive to the voltage change, which indicates that the dielectric bilayer tubular systems can act as voltage–controlled elastic wave actuators and sensors.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113247"},"PeriodicalIF":3.4,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166721","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 longitudinal and transverse damage modeling of fiber-reinforced polymers using a smeared crack approach","authors":"Paulo Teixeira Goncalves ,&nbsp;Albertino Arteiro ,&nbsp;Nuno Rocha ,&nbsp;Fermin Otero","doi":"10.1016/j.ijsolstr.2025.113252","DOIUrl":"10.1016/j.ijsolstr.2025.113252","url":null,"abstract":"<div><div>Longitudinal damage, or fiber-dominated failures, is the principal contributor to the stiffness loss in multidirectional composite laminates. In this work, the 3D smeared crack model, previously developed for transverse damage in unidirectional fiber-reinforced polymer composites, is extended for the first time to include longitudinal tensile and compressive failure, considering fiber kinking using a continuum damage approach. This formulation is developed to facilitate the implementation in an implicit solver, increasing solution robustness and computational efficiency in quasi-static and long duration analyses. The smeared crack formulation is incorporated into the fiber kinking model and seamless coupled with the transverse damage evolution model to address combined loading modes and mixed mode loading. The performance of the model is evaluated using monotonic and non-monotonic damage evolution and verified with single element tests to demonstrate the consistency of the proposed formulation. Additional benchmark examples include open-hole tension and compression tests in multidirectional laminates, validated with experimental results, obtaining a good agreement in the predicted failure load, and correctly capturing the size effect.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113252"},"PeriodicalIF":3.4,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143167718","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}