Zengshen Yue , Zhaoshuai Fan , Chunhao Ma , Xiong Wei , Wei Li , Xin Wang , Qiancheng Zhang , Ruirui Chen , Tian Jian Lu
{"title":"Dynamic response of clamped all-metallic corrugated core sandwich cylindrical shell under localized lateral shock loading","authors":"Zengshen Yue , Zhaoshuai Fan , Chunhao Ma , Xiong Wei , Wei Li , Xin Wang , Qiancheng Zhang , Ruirui Chen , Tian Jian Lu","doi":"10.1016/j.jmps.2025.106190","DOIUrl":"10.1016/j.jmps.2025.106190","url":null,"abstract":"<div><div>While cylindrical shells having corrugated or honeycomb sandwich walls exhibit attractive properties such as high stiffness/strength at low density and enhanced energy absorption, existing studies focused primarily on axial loading conditions. In reality, however, such sandwich cylindrical shells frequently face the threat of lateral impacts like in the case of high-speed railways and tube/pipeline systems. To explore the dynamic response of a fully-clamped sandwich cylindrical shell under lateral shock loading, a combined experimental and numerical study is carried out. Specimens of aluminum (Al) corrugated core sandwich cylindrical shells as well as thin-walled Al cylindrical shells are fabricated using the method of extrusion. Impact tests on these specimens are conducted using closed-cell Al foam projectiles launched via a light-gas gun. For each specimen, dynamic structural evolution, final deformation mode, and quantitative deflection are comprehensively measured and analyzed. Subsequently, a finite element (FE) model is established to simulate the lateral impact test, with good agreement against experimental measurements achieved. The validated FE model is then employed to quantify the effect of the number of corrugations in the core and explore energy absorption characteristics of individual components in the sandwich shell. In comparison with a thin-walled cylindrical shell of equal mass, the corrugated core sandwich cylindrical shell exhibits elevated lateral shock resistance (particularly so in the case of outer surface mid-point deflection on the impact side and inner diameter crushing), due mainly to energy absorption via core compression. However, within the studied range of impact momentum, the sandwich shell experiences consistently more significant bulging on the rear side than its thin-walled counterpart. A circumferential stress distribution map is constructed to reveal that the introduction of a corrugated core interrupts the continuous transmission path of circumferential stress along the shell’s circumferential direction. As a result, the contribution of circumferential membrane force to rear-side deformation is reduced while the influence of bending moment becomes dominant, leading to more significant bulging deformation on the rear side of the sandwich shell.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106190"},"PeriodicalIF":5.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shear-lag model of laminated films with alternating stiff and soft layers wrinkling on soft substrates","authors":"Zheliang Wang , Xinyi Lin , Jia Liu , Nanshu Lu","doi":"10.1016/j.jmps.2025.106172","DOIUrl":"10.1016/j.jmps.2025.106172","url":null,"abstract":"<div><div>Multilayer laminated films, consisting of alternating stiff and soft layers, are widely used in flexible electronics and photonics. The extreme modulus mismatch between these layers can induce shear-lag effects, leading to mechanical behavior distinct from conventional Euler–Bernoulli beam theory. Compared to three-point bending, wrinkling on a soft substrate is an easier-to-implement approach for probing the elasticity of ultrathin films. In this work, we introduce a wrinkle-based metrology for directly measuring the equivalent flexural rigidity of laminated beams with shear-lag. An analytical framework is developed, demonstrating good agreement with experimental results. We systematically investigate the effects of the number of layers and layer properties within the film, and substrate modulus. Additionally, we propose a criterion to determine when the wrinkle-based metrology is more suitable than the traditional three-point bending test.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106172"},"PeriodicalIF":5.0,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid
{"title":"Pore defects’ influence on the local, near threshold fatigue crack growth behavior of additively manufactured Ti-6Al-4V","authors":"Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid","doi":"10.1016/j.jmps.2025.106173","DOIUrl":"10.1016/j.jmps.2025.106173","url":null,"abstract":"<div><div>Pore defects can exist in additively manufactured (AM) components, even with optimized process parameters and post processing techniques. Lack of fusion (LOF) defects can be detrimental to fatigue, and understanding their influence on near threshold behavior is necessary for the damage tolerant design of aerospace components. This work presents a modeling framework to predict an indicator for the near threshold, local growth of a crack in the vicinity of a pore in AM materials. Three statistically equivalent virtual microstructure (SEVM) models were generated based on the crystallographic orientation and morphology of <span><math><mi>α</mi></math></span> laths, given the prior <span><math><mi>β</mi></math></span> grain structures of AM Ti-6Al-4V. Each SEVM was simulated with a small semicircular crack, constituting the baseline case, as well as with five experimentally characterized LOF defects positioned at variable distances from the small crack. Cyclic crystal plasticity simulations were performed with several applied stress intensity factors, and a methodology based on the accumulated plastic strain energy density, <span><math><msup><mrow><mi>w</mi></mrow><mrow><mi>P</mi></mrow></msup></math></span>, was developed to postulate crack growth rates from these static simulations. Multiple simulations lead to the construction of crack growth rate curves, from which a threshold stress intensity factor, <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span>, can be defined. The findings demonstrated that LOF morphology and crack-pore distance are the most influencing factors resulting in a decreased value of <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span>, while crack shielding and crack blunting can increase the <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span> value. This modeling approach and near threshold crack behavior can provide important quantification of pore influence on fatigue crack growth rates of AM Ti-6Al-4V, which can support material qualification efforts.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106173"},"PeriodicalIF":5.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interlayer-slip-mediated large deflection bending of multilayer two-dimensional structures: theory and application","authors":"Xiangtian Shen, Yueguang Wei","doi":"10.1016/j.jmps.2025.106192","DOIUrl":"10.1016/j.jmps.2025.106192","url":null,"abstract":"<div><div>Multilayer two-dimensional (2D) materials often exhibit bending profiles and nonlinear responses that lie between membranes and large deflection plates, primarily due to significant interlayer slip. However, a comprehensive theoretical model to quantify this phenomenon remains lacking. By employing an energy variational approach based on complex-variable formalism, this work establishes a concise and general set of governing equations for large deflection bending of multilayer 2D structures. Exact and perturbative solutions for one-dimensional (1D) and axisymmetric pressurized bubbles are derived and validated by Finite Element Method (FEM) simulations. The analytical results quantitatively reveal the influence of the shear factor, a dimensionless parameter quantifying interlayer slip resistance, on the system’s bending profiles and responses, as well as the transition from membrane-like to plate-like behavior. This framework not only explains the nonlinear bending behavior measured in previous experiments on multilayer 2D materials, but also enables direct extraction of interlayer shear parameters. Consequently, it offers critical insights for strain engineering, interfacial property characterization, and the design of functional devices based on multilayer 2D systems.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106192"},"PeriodicalIF":5.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 variational approach to the modeling of compressible magnetoelastic materials","authors":"Barbora Benešová , Šárka Nečasová , Jan Scherz , Anja Schlömerkemper","doi":"10.1016/j.jmps.2025.106169","DOIUrl":"10.1016/j.jmps.2025.106169","url":null,"abstract":"<div><div>We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow equation for the magnetization in the quasi-static setting. The viscous dissipation considered in this model induces an extended material derivative in the magnetic force balance. We prove existence of weak solutions based on De Giorgi’s minimizing movements scheme, which allows us to deal with the non-convex energy as well as the non-convex state space for the deformation. In the application of this method we rely on the fact that the magnetic force balance in the model can be expressed in terms of the same energy and dissipation potentials as the equation of motion, allowing us to model the functional for the discrete minimization problem based on these potentials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106169"},"PeriodicalIF":5.0,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Antonio Kaniadakis , Van-Dung Nguyen , Jacques Besson , Thomas Pardoen
{"title":"Strain hardening effect on ductile tearing under small scale yielding plane strain conditions","authors":"Antonio Kaniadakis , Van-Dung Nguyen , Jacques Besson , Thomas Pardoen","doi":"10.1016/j.jmps.2025.106171","DOIUrl":"10.1016/j.jmps.2025.106171","url":null,"abstract":"<div><div>The effect of strain-hardening on ductile crack growth is explored based on a small scale yielding finite element approach using an advanced nonlocal Gurson model. A focus is put on considering high strain hardening exponent <span><math><mi>n</mi></math></span> up to 0.5, while classical literature is often limited to <span><math><mrow><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn></mrow></math></span>, in order to encompass materials like stainless steels as well as several modern TRIP-TWIP alloys and high entropy alloys. First, <span><math><msub><mrow><mi>J</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> plasticity-based simulations are performed to set the static crack reference. These simulations provide a hint about the origin of the increase of fracture toughness with increasing <span><math><mi>n</mi></math></span>, connected to much smaller finite strain zones at a given loading level quantified by the value of the <span><math><mi>J</mi></math></span> integral. In addition, it is found that above <span><math><mrow><mi>n</mi><mo>∼</mo><mn>0</mn><mo>.</mo><mn>3</mn></mrow></math></span>, the opening stress does not attain a maximum value at a distance equal to one to two crack openings but keeps increasing towards the surface of the blunted crack tip. Then, Gurson-based simulations are used to determine the <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>R</mi></mrow></msub></math></span> curve for different <span><math><mi>n</mi></math></span> and initial porosity, and associated quantities related to crack initiation such as <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>I</mi><mi>c</mi></mrow></msub></math></span>, critical crack tip opening displacement <span><math><msub><mrow><mi>δ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, and fracture process zone length. As already found in earlier studies, both <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>I</mi><mi>c</mi></mrow></msub></math></span> and <span><math><msub><mrow><mi>δ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> increase with increasing <span><math><mi>n</mi></math></span>, although the effect is much more marked on <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>I</mi><mi>c</mi></mrow></msub></math></span>. The origin of this first-order effect is unraveled by looking at the stress triaxiality, damage, and plastic strain fields. Even though the near crack tip stress triaxiality increases with <span><math><mi>n</mi></math></span>, the associated lower plastic strain at a fixed distance to the crack front leads to much lower void growth rates and delays void coalescence. As a important side result, the simulations appear very sensitive to an accurate fine-tuning of the adjustment factors entering the Gurson model at high strain hardening, pointing towards the intrinsic limitations of the model when <span><math><mi>n</mi></math></span> is large. This study confirms the interest in developing alloys with large strain hardenin","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106171"},"PeriodicalIF":5.0,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 homogenization-based magneto-viscoelastic constitutive model for soft magnetorheological elastomers","authors":"Jialin Wang , Ben Wang , Zaoyang Guo , Yang Chen","doi":"10.1016/j.jmps.2025.106162","DOIUrl":"10.1016/j.jmps.2025.106162","url":null,"abstract":"<div><div>Soft magnetorheological elastomers (s-MREs) are a kind of smart composites composed of a mechanically soft viscoelastic matrix filled with soft magnetic particles. This work provides a standard two-potential framework for the constitutive model of s-MREs incorporating viscous dissipative mechanism, which rigorously adheres to the physical constrains imposed by even magneto-mechanical coupling, material frame indifference, material symmetry requirement and the second law of thermodynamics. Moreover, a numerical homogenization framework is developed to compute the macroscopic homogenized response of s-MREs. Based on the numerical homogenization results, an explicit free energy function and a dissipative potential that rely on the properties of the underlying microstructure are constructed. Only a small number of model parameters are calibrated by means of the numerically average magnetostriction responses under purely magnetic loading. The validity of the developed model is assessed by comparing the model predictions to the numerical homogenization results, under various matrix material parameters, magnetic loading rates and magneto-mechanical loading paths. The results demonstrate that the proposed model exhibits good agreement with the numerical homogenization results in all cases considered. Finally, the model is employed to solve for the magnetostriction of s-MRE specimens in the air medium. It is found that the simulation results are in excellent agreement with the experimental data reported in the literature. In addition, our research reveals that the proposed model provides a more profound insight into the underlying physical mechanisms behind the magnetostrictive behaviors of the s-MREs.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106162"},"PeriodicalIF":5.0,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lampros Svolos , Quoc-Thai Tran , Ismael D. Boureima , Veronica Anghel , Krishna Garikipati , Hashem M. Mourad
{"title":"A phase-field fracture formulation for generalized standard materials: The interplay between thermomechanics and damage","authors":"Lampros Svolos , Quoc-Thai Tran , Ismael D. Boureima , Veronica Anghel , Krishna Garikipati , Hashem M. Mourad","doi":"10.1016/j.jmps.2025.106154","DOIUrl":"10.1016/j.jmps.2025.106154","url":null,"abstract":"<div><div>Accurately modeling fracture of ductile materials poses open challenges in the field of computational mechanics due to the multiphysics nature of their failure processes. Integrating the interplay between thermodynamics and damage into ductile fracture models is vital for predicting critical failure modes. In this paper, we develop a versatile phase-field (PF) framework for modeling ductile fracture, taking into account finite-strain elasto-plasticity. The framework stems from a variational formulation of constitutive relations for generalized standard materials (GSMs), whose response is described by a Helmholtz free energy and a dissipation pseudo-potential. Its variational structure is based on a minimum principle for a functional that expresses the sum of power densities for reversible and irreversible processes. By minimizing this functional with a constraint on a von Mises yield function, we derive the evolution equation for the equivalent plastic strain and an associative flow rule. This constrained optimization problem is analytically solved for a wide class of thermo-viscoplasticity models. The key innovations of the current work include (i) a cubic plastic degradation function that accounts for a non-vanishing damage-dependent yield stress, (ii) closed-form expressions of the Helmholtz free energy and dissipation pseudo-potential for three thermo-viscoplasticity models, (iii) an extended Johnson–Cook plasticity model with a nonlinear hardening law, and (iv) a plastic work heat source that depends on the plastic degradation function and a variable Taylor–Quinney (TQ) coefficient. The capabilities of the proposed framework are tested with the aid of four ductile fracture problems, including the Sandia Fracture Challenge. In each of these problems, we examine the evolution of relevant field variables such as the PF order parameter, the equivalent plastic strain, the temperature, and the internal power dissipation density, in addition to the overall structural response quantified by the force–displacement curve. These numerical studies demonstrate that the proposed framework effectively represents ductile fracture, yielding computational results that exhibit good agreement with experimental data.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106154"},"PeriodicalIF":5.0,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143942813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Foreword for the 70th Anniversary Issue of JMPS in Honor of Nicolas Triantafyllidis","authors":"Ryan S. Elliott","doi":"10.1016/j.jmps.2025.106153","DOIUrl":"10.1016/j.jmps.2025.106153","url":null,"abstract":"","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106153"},"PeriodicalIF":5.0,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"From bending to stretching driven peeling of heterogeneous adhesives","authors":"Laurent Ponson","doi":"10.1016/j.jmps.2025.106165","DOIUrl":"10.1016/j.jmps.2025.106165","url":null,"abstract":"<div><div>We study theoretically the peeling behavior of adhesives. Adopting a fracture mechanics approach, we derive the equation of motion of the adhesion front propagating at the interface between the adhesive and the substrate from which the peel strength is inferred. The originality of our approach lies in the description of the interplay during peeling between the stretching and the bending modes of deformation of the adhesive that is described as a Föppl–Von Karman’s thin film. Considering first a straight adhesion front, we retrieve the most salient feature of homogeneous adhesives, namely a peeling angle dependent peel strength driven by bending at large angles and by stretching at low angles. We also derive the shape of the adhesive that can be described using a single bending length scale derived from our model. We then investigate the impact of adhesion heterogeneities. We evidence that the deformations of the adhesion front are governed by a non-local interface elasticity the strength of which decreases with the peeling angle. This phenomenon reflects the transition between a stretching dominated peeling at low angle to a bending driven peeling at large angles that is captured in our model. This transition impacts the stability of adhesive fronts that relax more slowly from perturbations and gives rise to a stronger toughening effect in presence of a disorder distribution of adhesion energy at low peeling angles. Overall, this study sheds light on the central role played the elastic deformations of adhesives on their peeling behavior. The proposed framework unfolds the complex interplay between the deformation of adhesives and the peeling driving force that may be leveraged to engineer heterogeneous adhesives with enhanced properties. It also provides rich insights on the mechanisms underlying the emergence of non-local elasticity in interface problems.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106165"},"PeriodicalIF":5.0,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}