International Journal of Solids and Structures最新文献

{"title":"A well-posed non-local theory in 1D linear elastodynamics","authors":"Dipendu Pramanik ,&nbsp;Andrea Nobili","doi":"10.1016/j.ijsolstr.2025.113511","DOIUrl":"10.1016/j.ijsolstr.2025.113511","url":null,"abstract":"<div><div>We show how to construct a well-posed theory of purely non-local elasticity by kernel modification. Specifically, we modify the classical Helmholtz kernel so that the constitutive boundary conditions associated with it are replaced by constraints that emerge from the natural boundary conditions of the problem at hand. The procedure is illustrated by two examples, one dealing with a statically indeterminate problem and the other concerning free vibrations of a cantilever beam. The defining feature of the method is that the modified kernel is no longer a difference kernel. This outcome is a consequence of the incorporation of the problem’s boundary conditions, which affects the kernel near the boundaries and, consequently, induces a different mechanical response in dependence of the distance from those. In contrast, negligible changes are found in the interior of the material. Still, the modified kernel remains symmetric and positive definite, which property guarantees that the strain energy is quadratic and positive definite, and it complies with the impulsivity requirement, by which it reverts to the classical local theory in the limit of a vanishing non-local length-scale. Kernel modification is conceptually different from the two-phase approach under many respects, most notably because it gets away from the need to introduce extra boundary conditions besides those naturally associated with the physics of the problem.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113511"},"PeriodicalIF":3.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489686","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 modeling method of failure for concrete considering the stress state in peridynamics","authors":"Zhiqiang Song ,&nbsp;Guosheng Wang ,&nbsp;Dechun Lu ,&nbsp;Xin Zhou ,&nbsp;Timon Rabczuk ,&nbsp;Xiuli Du","doi":"10.1016/j.ijsolstr.2025.113536","DOIUrl":"10.1016/j.ijsolstr.2025.113536","url":null,"abstract":"<div><div>A modeling approach for concrete failure that incorporates stress state related by integrating macroscopic and microscopic failure descriptions was presented. At the macroscopic level, a classical stress state related failure criterion, based on continuum mechanics, is employed to determine material failure. The Cauchy stress tensor is derived by enforcing force balance conditions between the representative volume element (RVE) in continuum mechanics and the non-local horizon in peridynamics. At the mesoscopic level, peridynamics effectively captures crack propagation in concrete through bond interactions. Bond fracture is determined using a combination of ultimate stretch and compression, which are linked to the macroscopic failure criterion through specific stress states. The validity and effectiveness of the proposed method are demonstrated through comparisons between the stress state related failure envelope and traditional peridynamic failure criteria. Additionally, the accuracy of Cauchy stress calculations before crack initiation is verified by comparing stress distributions obtained from the finite element method and peridynamics under tensile loading of a circular orifice plate. Further simulations of material failure modes under various stress states highlight the advantages of the proposed approach. This method provides a comprehensive framework for modeling geomaterial failure, accurately capturing both material deformation in the continuous state and crack evolution in the discontinuous state.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113536"},"PeriodicalIF":3.4,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144502509","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":"Stationary axisymmetric ideal plastic flows in pressure-dependent plasticity","authors":"Sergei Alexandrov ,&nbsp;Vyacheslav Mokryakov ,&nbsp;Yong Li","doi":"10.1016/j.ijsolstr.2025.113538","DOIUrl":"10.1016/j.ijsolstr.2025.113538","url":null,"abstract":"<div><div>Previous work has developed the ideal flow theory and established that axisymmetric ideal frictionless drawing and extrusion dies can be shaped such that the principal stress trajectories are everywhere coincident with streamlines for Tresca’s solids (i.e., the constitutive equations are Tresca’s yield criterion and its associated flow rule). This design increases these processes’ efficiency and the final product’s strain uniformity. The present work shows that a large class of stationary axisymmetric deformation processes in which the principal stress trajectories are everywhere coincident with streamlines exists for a special case of the double slip and rotation model based on the Mohr-Coulomb yield criterion, extending the ideal flow theory to these constitutive equations. Two equation systems in the form ready for applying the finite-difference method in characteristic space are derived. One of these systems is adopted to calculate the shape of the ideal drawing die for the constitutive equations considered. The effect of the reduction and the internal friction angle on the die’s shape and the drawing stress is illustrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113538"},"PeriodicalIF":3.4,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470893","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":"Large deformations of gradient elastic shells","authors":"Mohammadjavad Javadi ,&nbsp;Marcelo Epstein ,&nbsp;Mohsen Asghari","doi":"10.1016/j.ijsolstr.2025.113507","DOIUrl":"10.1016/j.ijsolstr.2025.113507","url":null,"abstract":"<div><div>Based on Budiansky’s nonlinear shell theory, a consistent mechanical formulation for a fully nonlinear gradient shell theory in the large deformation regime is developed. This work extends the <em>Piola micro-macro identification procedure</em>, which is grounded in the correspondence between micro and macro kinematical quantities within the framework of the Kirchhoff–Love hypothesis. The field equations are derived in their weak forms using a kinematically exact model, expressed in terms of the shell mid-surface membrane and bending strains along with their covariant derivatives. This formulation retains higher-order terms in the Lagrangian strain tensor, enabling a comprehensive representation of the deformation behavior. An extension of the Saint-Venant constitutive equation is introduced to incorporate the influence of an internal material length scale. A suitable finite element is developed to accommodate the additional degrees of freedom introduced by the strain gradient theory. To demonstrate the capability of the proposed formulation in capturing large deformations, numerical examples involving gradient microplates are presented. The results show that the predicted deflections of micro-scale plates are significantly smaller than those predicted by classical shell theory in both small and large deformation regimes.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113507"},"PeriodicalIF":3.4,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470894","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 numerical upper-bound approach to the strength of a masonry wall under combined in-plane and out-of-plane loadings","authors":"Elodie Donval ,&nbsp;Ghazi Hassen ,&nbsp;Duc Toan Pham ,&nbsp;Patrick de Buhan","doi":"10.1016/j.ijsolstr.2025.113513","DOIUrl":"10.1016/j.ijsolstr.2025.113513","url":null,"abstract":"<div><div>The present contribution proposes a novel yield design, finite element based approach to determine the strength of a masonry wall. The proposed approach relies on a semi-analytical upper bound estimate of the in-plane and out-of-plane strength domain of a running bond masonry wall, recently proposed by Donval et al. (2024). Such an estimate is versatile, as it accounts for a finite strength for the blocks and the mortar, and a non-zero thickness for the joints, without any specific assumption on the state of stress or strain of the structure. This estimate may be expressed as a second-order cone optimization problem. We build on this property to derive a kinematic, finite element based formulation of the yield design problem. After describing the finite element implementation, some examples highlight the specificities of the approach. In particular, it accounts for the coupling between membrane stresses and bending moments, depends little on the mesh orientation, and provides a rigorous upper bound on the failure load of the structure. Then, the proposed approach is favorably compared to existing methods based on the limit analysis framework and to experiments.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113513"},"PeriodicalIF":3.4,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470897","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":"Wrinkle behavior of adhesive lined pipe under cyclic bending","authors":"Yi-Fan Liang ,&nbsp;Zhan-Feng Chen ,&nbsp;Lin Yuan ,&nbsp;Yi Shuai ,&nbsp;Wen Wang","doi":"10.1016/j.ijsolstr.2025.113531","DOIUrl":"10.1016/j.ijsolstr.2025.113531","url":null,"abstract":"<div><div>The wrinkle behavior threatens the life and structural integrity of lined pipe, which is a typical composite structure. A new lined pipe with an adhesive layer exhibits excellent resistance to wrinkling. However, the mechanism of wrinkling in adhesive lined pipe remains unclear. In this paper, the wrinkle behavior of the new adhesive lined pipe is studied numerically. Firstly, the wrinkle behavior of adhesive lined pipe structure under cyclic bending load is examined by the finite element method. Secondly, the effect of the length of defects in the adhesive layer is studied. Finally, the influence of local welding and Glue-Free-Zone (GFZ) on the structural stability of the adhesive lined pipe is verified. The results imply that defects within the adhesive layer are a significant factor in wrinkling formation, with wrinkles forming in defect areas. The larger the defect size, the more severe the wrinkle behavior becomes, leading to greater damage to the bonding layer. Results also suggest that the design of GFZ and local welding in adhesive lined pipe structures is more reasonable, as wrinkle behavior in these areas under cyclic bending loads is minimal and does not cause damage to the bonding layer.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113531"},"PeriodicalIF":3.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321009","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":"Field Dislocation Mechanics, Conservation of Burgers vector, and the augmented Peierls model of dislocation dynamics","authors":"Amit Acharya","doi":"10.1016/j.ijsolstr.2025.113491","DOIUrl":"10.1016/j.ijsolstr.2025.113491","url":null,"abstract":"<div><div>Dissipative models for the quasi-static and dynamic response due to slip in an elastic body containing a single slip plane of vanishing thickness are developed. Discrete dislocations with continuously distributed cores can glide on this plane, and the models are developed as special cases of a fully three-dimensional theory of plasticity induced by dislocation motion. The reduced models are compared and contrasted with the augmented Peierls model of dislocation dynamics. A primary distinguishing feature of the reduced models is the a-priori accounting of space–time conservation of Burgers vector during dislocation evolution. A physical shortcoming of the developed models as well as the Peierls model with regard to a dependence on the choice of a distinguished, coherent reference configuration is discussed, and a testable model without such dependence is also proposed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113491"},"PeriodicalIF":3.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144338711","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":"Modelling the impact-damage behaviour of composite sandwich panels with functionally-graded TPMS-latticed cores","authors":"Chukwugozie J. Ejeh ,&nbsp;Imad Barsoum ,&nbsp;Wesley J. Cantwell ,&nbsp;Rashid K. Abu Al-Rub","doi":"10.1016/j.ijsolstr.2025.113534","DOIUrl":"10.1016/j.ijsolstr.2025.113534","url":null,"abstract":"<div><div>Advances in 3D printing technology have driven the digital design of multifunctional lattice structures for use in sandwich panel applications. However, understanding the intrinsic relationship between lattice-core topological features, especially when functionally graded, and impact properties is crucial for designing lightweight sandwich panels. Therefore, this paper simulates the low-energy drop-weight impact behavior of 3D printable sandwich panels composed of a stainless steel 316L sheet-based minimal surface lattice core and Prepreg skin. The study examines how cell size, relative density, topology of the lattice, and control of anisotropy in the core through periodicity gradation influence the low-energy impact-damage behavior of sandwich panels. The results indicate that the impact-damage behavior of sheet-based minimal surface-lattice sandwich panels is highly dependent on the core’s topological features. Notably, controlling anisotropy within the lattice core significantly enhanced the impact properties of the lightweight sandwich panel. Varying the periodicity of the Schwartz Diamond topology to control anisotropy in the lattice core improved the peak load and internal energy-to-maximum penetration ratio of the sandwich panel by 35.2 % and 42.4 %, respectively, for the same average relative density of 20 %. Moreover, combining periodicity gradation and relative density gradation using the same topology minimized damages to the frontal panel, in addition to contributing to 117.4 % and 130.6 % increase in peak load and specific energy absorption of sandwich panels, respectively, alongside a considerable rise in energy dissipation capacity. Furthermore, combining multiple lattice-topology functional gradation techniques proved essential in limiting failure localization and thus, improving the impact-damage tolerance of the sandwich panel. The study highlights the importance of combining various lattice-topology functional grading strategies to control the anisotropy and deformation behaviour of minimal surface lattices under drop-weight impact loads. These findings are crucial for designing high-impact protective and lightweight sandwich panels for diverse engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113534"},"PeriodicalIF":3.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144331293","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":"Approximate solution of finite deformation for the combined bending and torsion of circular tubes","authors":"Zekun Yang,&nbsp;Jianjun Wu,&nbsp;Hui Wang,&nbsp;Long Liu","doi":"10.1016/j.ijsolstr.2025.113533","DOIUrl":"10.1016/j.ijsolstr.2025.113533","url":null,"abstract":"<div><div>In this paper, the equilibrium problem of incompressible hyperelastic circular tubes under combined bending and torsional deformation is studied. By using polar coordinates on the axis, a three-dimensional kinematic model of the longitudinal bending of a circular tube with wall thickness variation is established. Due to the adoption of the semi-inverse method, the displacement field specified in the model contains three unknown functions. Lagrangian and Eulerian analyses are performed on the model to determine the (first) Piola-Kirchhoff stress and Cauchy stress, clarify the equilibrium equations and boundary conditions, and thus solve for the unknown parameters in the kinematic model. In addition, the established model is validated by comparing it with the finite element (FE) results. The results show that the established model is effective and exhibits high accuracy. It describes the combined deformation of bending and torsion quite well and obtains the axial normal stress and torsional shear stress with relatively high precision. It can characterize the distribution of the wall thickness and the strain-neutral layer (SNL) after deformation with quite high precision. According to the deformation angle, the corresponding bending moment and torque are obtained, and the relative errors are all at a low level. Finally, the axial elongation rates of tubes with different specifications are analyzed, and it is found that they increase with the increase of the outer diameter or the inner diameter.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113533"},"PeriodicalIF":3.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321010","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":"Quasi-brittle fracture mechanics to assess ex vivo Raloxifene treatment of human cortical bone","authors":"Glynn Gallaway ,&nbsp;Rachel K. Surowiec ,&nbsp;Matthew R. Allen ,&nbsp;Joseph M. Wallace ,&nbsp;Laura J. Pyrak-Nolte ,&nbsp;John Howarter ,&nbsp;Thomas Siegmund","doi":"10.1016/j.ijsolstr.2025.113506","DOIUrl":"10.1016/j.ijsolstr.2025.113506","url":null,"abstract":"<div><div>Osteoporosis patients are growing in number, but treatments do not fully reduce fracture risk. Fracture mechanics, historically applied to engineering materials, provides tools to understand the non-linear behavior in cortical bone fractures and inform further treatment opportunities. Specifically, this study demonstrates the relevance of quasi-brittle fracture in the assessment of human cortical bone. Human cortical bone from one male donor femur was sectioned into notched prismatic bars and randomly assigned to two treatment groups: a control group and a treatment group. Treatment consisted of ex vivo soaking with Raloxifene, an FDA-approved pharmaceutical. In-situ four-point bend fracture experiments were conducted in the beamline of a 3D X-ray microscope under physiologic conditions. Fracture process zone (FPZ) length was measured directly from images. Quasi-brittle fracture mechanics (QBFM) theory was applied to assess treatment effects and determine bone tissue properties. QBFM scaling laws are applied to theoretically predict treatment effects at the organ length scale. In both treatment groups, the FPZ is large compared to the microstructure and sample dimension. Raloxifene treatment increases the tissue FPZ length and tissue fracture toughness of the material. Raloxifene treatment significantly decreases the brittleness of bone tissue at the experimental and organ length scales; non-linear relationships emerge from both microstructural influences on the fracture process. Due to the large FPZ and quasi-brittle behavior of the tissue, size effects on apparent fracture toughness emerge. The QBFM theory allows for understanding individual experiments in the context of size and treatment.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113506"},"PeriodicalIF":3.4,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144335991","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}