Journal of The Mechanics and Physics of Solids最新文献

{"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 ,&nbsp;Ben Wang ,&nbsp;Zaoyang Guo ,&nbsp;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}

{"title":"A phase-field fracture formulation for generalized standard materials: The interplay between thermomechanics and damage","authors":"Lampros Svolos ,&nbsp;Quoc-Thai Tran ,&nbsp;Ismael D. Boureima ,&nbsp;Veronica Anghel ,&nbsp;Krishna Garikipati ,&nbsp;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}

{"title":"Characterizing hydrogel behavior under compression with gel-freezing osmometry","authors":"Yanxia Feng ,&nbsp;Dominic Gerber ,&nbsp;Stefanie Heyden ,&nbsp;Martin Kröger ,&nbsp;Eric R. Dufresne ,&nbsp;Lucio Isa ,&nbsp;Robert W. Style","doi":"10.1016/j.jmps.2025.106166","DOIUrl":"10.1016/j.jmps.2025.106166","url":null,"abstract":"<div><div>Hydrogels are particularly versatile materials that are widely found in both Nature and industry. One key reason for this versatility is their high water content, which lets them dramatically change their volume and many of their mechanical properties – often by orders of magnitude – as they swell and dry out. Currently, we lack techniques that can precisely characterize how these properties change with water content. To overcome this challenge, here we develop Gel-Freezing Osmometry (GelFrO): an extension of freezing-point osmometry. We show how GelFrO can measure a hydrogel’s mechanical response to compression and shrinkage in response to an applied osmotic pressure, while only using small, <span><math><mi>O</mi></math></span> (<span><math><mrow><mn>100</mn><mspace></mspace><mi>μ</mi></mrow></math></span>L) samples. Because the technique allows measurement of properties over an unusually wide range of water contents, it allows us to accurately test theoretical predictions. We find simple, power-law behavior for both mechanical and osmotic responses, while these are not well-captured by classical Flory–Huggins theory. We interpret this power-law behavior as a hallmark of a microscopic fractal structure of the gel’s polymer network, and propose a simple way to connect the gel’s fractal dimension to its mechanical and osmotic properties. This connection is supported by observations of hydrogel microstructures using small-angle X-ray scattering. Finally, our results motivate simplifications to common models for hydrogel mechanics, and we propose an updated hydrogel constitutive model.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106166"},"PeriodicalIF":5.0,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918234","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":"Universal pull-off force for separating a rigid sphere from a membrane","authors":"Wanying Zheng,&nbsp;Zhaohe Dai","doi":"10.1016/j.jmps.2025.106163","DOIUrl":"10.1016/j.jmps.2025.106163","url":null,"abstract":"<div><div>A pull-off force <span><math><msub><mrow><mi>F</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> is required to separate two objects in adhesive contact. For a rigid sphere on an elastic slab, the classic Johnson–Kendall–Roberts (JKR) theory predicts <span><math><mrow><msub><mrow><mi>F</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mi>π</mi><mi>γ</mi><msub><mrow><mi>R</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow></math></span>, where <span><math><mi>γ</mi></math></span> represents the interface adhesion or toughness and <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>s</mi></mrow></msub></math></span> is the radius of the sphere. Here, we investigate an alternative, extreme scenario: the pull-off force required to detach a rigid, frictionless sphere from a thin membrane, a scenario observed in a wide range of nature and engineering systems, such as nanoparticles on cell membranes, atomic force microscopy probes on atomically thin 2D material sheets, and electronic devices on flexible films. We show that, within the JKR framework, the pull-off forces in axisymmetric soap films, linearly elastic membranes, and nonlinear hyperelastic membranes are all given by <span><math><mrow><msub><mrow><mi>F</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mi>π</mi><mi>γ</mi><msub><mrow><mi>R</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow></math></span>. This result is remarkable as it indicates that the pull-off force for membranes is independent of the material’s constitutive law, size, pretension, and solid surface tension.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106163"},"PeriodicalIF":5.0,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904248","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":"Thermal fluctuations effects on crack nucleation and propagation","authors":"Claudia Binetti ,&nbsp;Giuseppe Florio ,&nbsp;Nicola M. Pugno ,&nbsp;Stefano Giordano ,&nbsp;Giuseppe Puglisi","doi":"10.1016/j.jmps.2025.106157","DOIUrl":"10.1016/j.jmps.2025.106157","url":null,"abstract":"<div><div>This paper investigates the impact of thermal effects on fracture propagation, a subject that poses significant theoretical and experimental challenges across multiple scales. While previous experimental and numerical studies have explored the relationship between temperature fluctuations and mechanical behavior, a comprehensive theoretical framework in fracture mechanics that rigorously incorporates temperature effects is still absent. Building upon the Griffith energetic approach and equilibrium statistical mechanics, we incorporate entropic effects into the overall energy balance of the system and replace the total mechanical energy with free energies. Indeed, our model captures the energetic interplay between elastic deformation, external loads, fracture energy, and entropic contributions. We propose a simplified approach in which both discrete and continuum representations are formulated concurrently, reflecting a multiscale paradigm. The discrete model leverages statistical mechanics to account for temperature effects, while the continuum model provides a mesoscopic description of the fracture process. This framework provides (temperature dependent) analytical expressions for key mechanical parameters, such as the stress and displacement fracture thresholds, the energy release rate, the fracture surface energy, and the J-integral. Notably, we identify a critical temperature at which the system undergoes a phase transition from an intact to a fractured state in the absence of mechanical loading. We believe that this approach lays the foundation for a new theoretical framework, enabling a rigorous multiscale understanding of thermal fluctuations in fracture mechanics. We finally propose a comparison with numerical data concerning the fracture of graphene as a function of temperature exhibiting the efficiency of the model in describing thermal effects in fracture behavior.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106157"},"PeriodicalIF":5.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143948477","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":"Microstructure-based machine learning of damage models including anisotropy, irreversibility and evolution","authors":"Julien Yvonnet,&nbsp;Qi-Chang He","doi":"10.1016/j.jmps.2025.106160","DOIUrl":"10.1016/j.jmps.2025.106160","url":null,"abstract":"<div><div>A homogenization framework for materials incorporating evolving cracks is proposed, with machine learning to discover the evolution laws of the internal variables describing the homogenized anisotropic damage. The damage model is constructed using data-driven harmonic analysis of damage (DDHAD). First, simulations on Representative Volume Elements (RVEs) with local crack initiation and propagation are performed along different loading trajectories. The elastic tensor is homogenized for each loading increment and step, and recorded as data. Macroscopic internal variables defining arbitrary anisotropic damage are extracted by calculating orientation-dependent damage functions and expanding them into spherical harmonics, the independent coefficients of which are used as macroscopic internal variables. A reduction step is performed to minimize the number of internal variables using Proper Orthogonal Decomposition. A simple Feed-Forward neural network is used to discover the evolution laws of these internal variables, and an algorithm is proposed to manage loading/unloading scenarios. The technique is applied to different RVEs so as to construct anisotropic damage models, including initial and induced anisotropy, progressive and compressive damage.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106160"},"PeriodicalIF":5.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891970","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 finite strain model for fiber angle plasticity of textile fabrics based on isogeometric shell finite elements","authors":"Thang X. Duong ,&nbsp;Roger A. Sauer","doi":"10.1016/j.jmps.2025.106158","DOIUrl":"10.1016/j.jmps.2025.106158","url":null,"abstract":"<div><div>This work presents a shear elastoplasticity model for textile fabrics within the theoretical framework of anisotropic Kirchhoff–Love shells with bending of embedded fibers proposed by Duong et al. (2023). The plasticity model aims at capturing the rotational inter-ply frictional sliding between fiber families in textile composites undergoing large deformation. Such effects are usually dominant in dry textile fabrics such as woven and non-crimp fabrics. The model explicitly uses relative angles between fiber families as strain measures for the kinematics. The plasticity model is formulated directly with surface invariants without resorting to thickness integration. Motivated by experimental observations from the picture frame test, a yield function is proposed with isotropic hardening and a simple evolution equation. A classical return mapping algorithm is employed to solve the elastoplastic problem within the isogeometric finite shell element formulation of Duong et al. (2022). The verification of the implementation is facilitated by the analytical solution for the picture frame test. The proposed plasticity model is calibrated from the picture frame test and is then validated by the bias extension test, considering available experimental data for different samples from the literature. Good agreement between model prediction and experimental data is obtained. Finally, the applicability of the elastoplasticity model to 3D shell problems is demonstrated.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"200 ","pages":"Article 106158"},"PeriodicalIF":5.0,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902538","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}