International Journal of Solids and Structures最新文献

{"title":"Generation of random fiber distribution using the RSE-Monte Carlo algorithm to investigate the mechanical properties of UD composite","authors":"Mohamed Hassani ,&nbsp;Sabiha Tekili ,&nbsp;Youcef Khadri ,&nbsp;Haithem Boumediri","doi":"10.1016/j.ijsolstr.2025.113697","DOIUrl":"10.1016/j.ijsolstr.2025.113697","url":null,"abstract":"<div><div>This work presents a new algorithm designed to generate random spatial fiber distributions in the transverse cross-section of unidirectional composite materials. The approach establishes a three-dimensional representative volume element (RVE) within a numerical framework to estimate strain, stress fields, and stiffness tensors via numerical homogenization. The process is automated using Python scripting, from geometry creation to predicting elastic properties. To manage fiber arrangement effectively, the algorithm employs a user-defined probability function to control inter-fiber distances and includes a novel method named Random Sequence Expansion Monte Carlo. This method addresses common issues such as fiber clustering and unrealistic matrix regions. The algorithm’s performance was evaluated through statistical analysis of various geometric descriptors, showing good agreement with experimental data from the literature. Finite element analysis was used to predict the elastic properties of the generated microstructure, with results closely matching experimental data and exhibiting a coefficient of variation of less than 5 %. The study confirmed the transverse isotropy of unidirectional composites, showing that the random fiber distribution in the transverse plane of fiber direction was accurately represented. Overall, the proposed numerical framework demonstrates a strong correlation with experimental outcomes, providing a useful tool for material design and optimization. Future work will focus on validation of the framework for prediction of damage onset and strength of unidirectional composite materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113697"},"PeriodicalIF":3.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268777","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":"Behavior of architected instability-based metamaterials (AIMs) under out-of-plane geometric variations","authors":"Li Wan,&nbsp;Devin Young,&nbsp;Sibo Zhang,&nbsp;Yunlan Zhang","doi":"10.1016/j.ijsolstr.2025.113682","DOIUrl":"10.1016/j.ijsolstr.2025.113682","url":null,"abstract":"<div><div>Architected instability-based metamaterials (AIMs), composed of multistable elementary building blocks, can undergo highly reversible geometric phase transformations, making them ideal for dynamic systems such as energy-dissipating structures and micro-electro-mechanical devices (MEMS). While prior research has largely focused on in-plane geometries and global responses, limited studies have explored how out-of-plane geometry affects the critical mechanical behavior of AIMs. Here, we study a representative class of AIMs constructed from curved beam-based building blocks, <span><math><msup><mrow><mtext>AIMs</mtext></mrow><mrow><mtext>cb</mtext></mrow></msup></math></span>, and investigate how their out-of-plane geometry influences key performance metrics. <span><math><msup><mrow><mtext>AIMs</mtext></mrow><mrow><mtext>cb</mtext></mrow></msup></math></span> rely on elastic buckling of slender beams to achieve reversibility, which limits their strength and energy dissipation. Their limited geometric tunability also constrained their utility in MEMS requiring diverse multistable behaviors. To address these limitations, we introduce a new geometric control parameter, <span><math><mi>k</mi></math></span>, to adjust the out-of-plane geometry of <span><math><msup><mrow><mtext>AIMs</mtext></mrow><mrow><mtext>cb</mtext></mrow></msup></math></span> and tune their mechanical properties. Our results show that <span><math><mi>k</mi></math></span> governs the localization of maximum strain, thereby controlling the reversibility and robustness of the multistable response. Using finite element simulations, digital image correlation, and cyclic compression experiments, we demonstrate that <span><math><msup><mrow><mtext>AIMs</mtext></mrow><mrow><mtext>cb</mtext></mrow></msup></math></span> with <span><math><mrow><mi>k</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span> achieve up to 62.1% higher compressive strength and 45.6% greater energy dissipation, while also enabling a broader range of tunable multistable behaviors. The simplicity of fabricating out-of-plane geometries further enhances the practical applicability of <span><math><msup><mrow><mtext>AIMs</mtext></mrow><mrow><mtext>cb</mtext></mrow></msup></math></span>, extending their use from energy-focused applications such as packaging, shock absorption, and impact protection to adaptive systems including MEMS and other multistability-driven devices.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113682"},"PeriodicalIF":3.8,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268781","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":"The effect of variable fiber diameters in unidirectional fiber-reinforced bundles on stress redistributions around fiber breaks","authors":"M. Jafarypouria,&nbsp;S.V. Lomov,&nbsp;S.G. Abaimov","doi":"10.1016/j.ijsolstr.2025.113687","DOIUrl":"10.1016/j.ijsolstr.2025.113687","url":null,"abstract":"<div><div>Finite element modeling is conducted to simulate the stress redistribution around a broken fiber (BF) in a bundle with experimentally measured fiber diameter distributions (FDD), followed by a parametric study of the influence of the FDD coefficient of variation on the stress concentration factor (SCF) and ineffective length (IL). Two variants of the SCF definition are considered: based on average, SCF_avg, and maximum, SCF_max, stress in the fiber cross-section. Results demonstrate that bigger fiber diameters show higher SCF and clustering of such fibers increases SCF in nearest neighbor fibers (NNFs). Critically, maximum stress-based SCF (<span><math><msub><mrow><mi>maxSCF</mi></mrow><mrow><mi>max</mi></mrow></msub></math></span>​) significantly exceeds average stress-based SCF (<span><math><msub><mrow><mi>maxSCF</mi></mrow><mrow><mi>avg</mi></mrow></msub></math></span>​), with differences about 40–75% in NNFs for FDD bundles compared to fiber constant diameter (FCD) bundles. This emphasises the necessity of prioritizing maximum stress criteria over conventional average stress models in failure predictions. The findings challenge benchmark models that rely on averaged SCF values, offering critical insights for improving accuracy in predicting fiber break propagation and composite strength.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113687"},"PeriodicalIF":3.8,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268764","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 linear failure index for the Christensen criterion","authors":"Mathis Hach,&nbsp;Albrecht Radtke,&nbsp;Philipp Weißgraeber","doi":"10.1016/j.ijsolstr.2025.113685","DOIUrl":"10.1016/j.ijsolstr.2025.113685","url":null,"abstract":"<div><div>The Christensen failure criterion is a stress-based two-parameter failure criterion with two subcriteria for isotropic non-porous materials ranging from ductile materials like mild steel over plastics and cast iron to fully brittle materials like concrete or rocks. Despite reported experimental validation and wide applicability, the Christensen failure criterion is not widely used due to its complexity (combination of two subcriteria) and the lack of available implementations, e.g. in finite element software. In this work we propose a linear failure index for the Christensen criterion, akin to failure indices for fiber-reinforced plastic. The failure index is derived by projecting the stress state in spherical coordinates onto the failure surface, enabling a closed-form solution applicable also to other multi-parameter failure criteria. Additionally, the ductility number defined in the Christensen theory, describing the failure mode is implemented in the given framework. The methodology is further implemented in a new python package <span>Christensen_FailureIndex</span> as well as for the commercial finite element software Simulia ABAQUS (via a UMAT subroutine and also via a postprocessing Python GUI plugin) allowing for versatile use of the criterion. To assess efficiency and discuss its utility, the derived failure index is applied to a three point bending test with a notched specimen for a mildly brittle plastic to discuss critical load and failure location. The code for all implementations is publicly available on <span><span>https://github.com/cld-rostock/Christensen_FailureIndex</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113685"},"PeriodicalIF":3.8,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269771","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":"Modeling the short fatigue crack growth in additively manufactured notched parts","authors":"Arun Poudel ,&nbsp;Sajith Soman ,&nbsp;Nima Shamsaei ,&nbsp;Shuai Shao","doi":"10.1016/j.ijsolstr.2025.113694","DOIUrl":"10.1016/j.ijsolstr.2025.113694","url":null,"abstract":"<div><div>This work numerically assessed the synergistic effects of volumetric defects and macroscopic notches on the short fatigue crack growth behavior in metallic materials. The effective stress intensity factor (SIF), proposed by El Haddad to quantify a crack’s driving force, was utilized to assess the tendency of crack arrest for short cracks initiating from defects in notched specimens. Notch-defect configurations with defects of varying shapes and sizes at different locations (notch-surface, corner, sub-surface, and lateral-surface) were analyzed using linear elastic finite element analysis. Features such as notch root radii, defect’s size, shape, and location (proximity to notch and free lateral surfaces) influenced the effective SIF of cracks. A fatigue notch factor-based approach, incorporating the effective SIF of cracks, was employed to predict the fatigue lives of notched specimens. Predicted fatigue lives were validated using the experimentally observed fatigue lives of additively manufactured AlSi10Mg and 17-4 precipitation hardening (PH) stainless steel (SS) flat notched specimens with varying geometries from the authors’ previous work. For AlSi10Mg, 86 % of all fatigue life predictions fell within the scatter band of 3—most of them were conservative, and 100 % fell within the same scatter band for 17-4 PH SS.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113694"},"PeriodicalIF":3.8,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145218428","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":"New nonlinear thermomechanical buckling solutions of spherical caps and annular spherical shells","authors":"Jie Xu,&nbsp;Li Liang,&nbsp;Zixuan Wang,&nbsp;Yiming Chen,&nbsp;Zhuofan Ni,&nbsp;Rui Li","doi":"10.1016/j.ijsolstr.2025.113690","DOIUrl":"10.1016/j.ijsolstr.2025.113690","url":null,"abstract":"<div><div>New thermomechanical buckling solutions of spherical caps and annular spherical shells accounting for the pre-buckling nonlinearity, which is important but was generally neglected in previous studies, are presented in this study. The nonlinearity in the buckling equation of a spherical shell is separated into the pre-buckling equations using the parameter perturbation. Subsequently, the quasilinearization method and the partitioned solution scheme is employed, wherein a series of variable-coefficient matrix equations are solved to rapidly obtain the nonlinear solution. The matrix exponential computation involved is tackled using the precise integration method, leading to the derivation of the state transition equation. A global matrix equation is then formulated incorporating the boundary conditions, from which the buckling eigenvalues are determined. The convergence study and benchmark buckling solutions are presented. In addition, the impacts of temperature change, pre-buckling nonlinearity, shell thickness, and BCs on the buckling behavior are quantitatively investigated through comprehensive numerical and graphic results.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113690"},"PeriodicalIF":3.8,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145218429","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 mixed Cosserat and higher gradient formulation for fibrous tissues and biomaterials","authors":"Milad Shirani ,&nbsp;Ivan Giorgio ,&nbsp;Davide Astori ,&nbsp;Jay D. Humphrey","doi":"10.1016/j.ijsolstr.2025.113671","DOIUrl":"10.1016/j.ijsolstr.2025.113671","url":null,"abstract":"<div><div>Fibrous materials, including engineering composites and biological tissues, exhibit distinctive behaviors that can be characterized by melding concepts of Cosserat and higher gradient elasticities. In this work, we generalize higher gradient theories for fibrous materials by considering Cosserat effects. We use the principle of virtual power and the calculus of variations to obtain the balance laws and boundary conditions. For minimizing the total potential energy of the system, we find conditions for quasi-convexity, rank-one convexity, and Legendre–Hadamard inequalities that must be satisfied for solutions of the balance laws to be valid. Finally, we present a linearized formulation and show illustrative computational results. According to one example, Poynting effects arise from non-classical effects such as higher gradients and Cosserat effects.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113671"},"PeriodicalIF":3.8,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268780","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":"Investigating amorphization as a deformation mechanism using a novel phase field model at the mesoscale","authors":"Yuntong Huang ,&nbsp;Shuyang Dai ,&nbsp;Chuqi Chen ,&nbsp;Yang Xiang","doi":"10.1016/j.ijsolstr.2025.113691","DOIUrl":"10.1016/j.ijsolstr.2025.113691","url":null,"abstract":"<div><div>Amorphization during severe plastic deformation has been observed in various crystalline materials, yet its underlying mechanisms remain poorly understood. This study introduces a novel phase-field model at the mesoscale, integrating elastoplastic theory with a deviatoric stress-dependent transformation strain tensor to capture stress-induced amorphization. The model enables quantitative predictions of amorphous phase nucleation and propagation under high stress, resolving distinctive micro-structural patterns such as amorphous shear bands. Simulations reveal key phenomena, including avalanche-like amorphization, grain size effects, the Hall–Petch effect, and surface amorphization, consistent with experimental observations. By bridging phase-field methods with elastoplastic theory, this work provides a robust framework for studying amorphization as a deformation mechanism and offers valuable insights for designing materials resistant to extreme mechanical conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113691"},"PeriodicalIF":3.8,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269773","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":"The interface behavior of an electrode imperfectly bonded to a thermoelectric substrate","authors":"Xiaojuan Tian ,&nbsp;Jiahui Jin ,&nbsp;Wenshuai Wang ,&nbsp;Shenghu Ding ,&nbsp;Yueting Zhou","doi":"10.1016/j.ijsolstr.2025.113688","DOIUrl":"10.1016/j.ijsolstr.2025.113688","url":null,"abstract":"<div><div>This paper examines the interfacial behavior of an electrode imperfectly bonded to a thermoelectric substrate, either with or without an adhesive interlayer. The governing integro-differential equations for the interface problem under consideration are formulated based on the equilibrium and deformation compatibility conditions. The integral equations are solved by utilizing the Gauss-Chebyshev discretization method. The effects of the debonding length, the debonding position, the thermoelectric load, the geometry, and the shear modulus of the electrode and the adhesive interlayer on the interfacial response are comprehensively studied. The singularities of the current density, the energy flux, and the shear stress at the debonding edges are analyzed in detail. It is found that a more reliable interface can be achieved if the electrode has a lower modulus. A thicker adhesive interlayer is demonstrated to effectively mitigate interfacial stress concentration. The results provide important references for the design of electrode-thermoelectric substrate systems in advanced flexible and stretchable thermoelectric devices.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113688"},"PeriodicalIF":3.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268767","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 hereditary integral, transient network approach to modeling permanent set and viscoelastic response in polymers","authors":"Stephen T. Castonguay ,&nbsp;Joshua B. Fernandes ,&nbsp;Michael A. Puso ,&nbsp;Sylvie Aubry","doi":"10.1016/j.ijsolstr.2025.113670","DOIUrl":"10.1016/j.ijsolstr.2025.113670","url":null,"abstract":"<div><div>An efficient numerical framework is presented for modeling viscoelasticity and permanent set of polymers. It is based on the hereditary integral form of transient network theory, in which polymer chains belong to distinct networks each with different natural equilibrium states. Chains continually detach from previously formed networks and reattach to new networks in a state of zero stress. The free energy of these networks is given in terms of the deformation gradient relative to the configuration at which the network was born . A decomposition of the kernel for various free energies allows for a recurrence relationship to be established, bypassing the need to integrate over all time history. The technique is established for both highly compressible and nearly incompressible materials through the use of neo-Hookean, Blatz–Ko, Yeoh, and Ogden-Hill material models. Multiple examples are presented showing the ability to handle rate-dependent response and residual strains under complex loading histories.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113670"},"PeriodicalIF":3.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269772","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}