Fani Derveni, Florian Choquart, Arefeh Abbasi , Dong Yan, Pedro M. Reis
{"title":"The most severe imperfection governs the buckling strength of pressurized multi-defect hemispherical shells","authors":"Fani Derveni, Florian Choquart, Arefeh Abbasi , Dong Yan, Pedro M. Reis","doi":"10.1016/j.mechmat.2025.105295","DOIUrl":"10.1016/j.mechmat.2025.105295","url":null,"abstract":"<div><div>We perform a probabilistic investigation on the effect of systematically removing imperfections on the buckling behavior of pressurized thin, elastic, hemispherical shells containing a distribution of defects. We employ finite element simulations, which were previously validated against experiments, to assess the maximum buckling pressure, as measured by the knockdown factor, of these multi-defect shells. Specifically, we remove fractions of either the least or the most severe imperfections to quantify their influence on the buckling onset. We consider shells with a random distribution of defects whose mean amplitude and standard deviation are systematically explored while, for simplicity, fixing the width of the defect to a characteristic value. Our primary finding is that the most severe imperfection of a multi-defect shell dictates its buckling onset. Notably, shells containing a single imperfection corresponding to the maximum amplitude (the most severe) defect of shells with a distribution of imperfections exhibit an identical knockdown factor to the latter case. Our results suggest a simplified approach to studying the buckling of more realistic multi-defect shells, once their most severe defect has been identified, using a well-characterized single-defect description, akin to the weakest-link setting in extreme-value probabilistic problems.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105295"},"PeriodicalIF":3.4,"publicationDate":"2025-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Novel uniaxial and biaxial reverse experiments for material parameter identification in an advanced anisotropic cyclic plastic-damage model","authors":"Zhichao Wei , Steffen Gerke , Michael Brünig","doi":"10.1016/j.mechmat.2025.105294","DOIUrl":"10.1016/j.mechmat.2025.105294","url":null,"abstract":"<div><div>This paper discusses the calibration and verification of material parameters based on novel one-axis and biaxial reverse loading experiments. The uniaxially loaded tension–compression (TC-), one-axis-loaded shear, and biaxially loaded HC-specimens are designed to perform different cyclic experiments, covering a wide range of stress triaxialities. Special anti-buckling clamping jaws and a newly designed downholder are used during the experiments to avoid buckling under compression loads. During the experiments, strain fields are recorded and analyzed using the digital image correlation (DIC) technique. A combination of direct and indirect fitting approaches is employed to identify the essential elastic–plastic material parameters for the proposed advanced elastic–plastic-damage constitutive model. The characterization of damage parameters is not discussed in this paper. A quantitative error analysis method is introduced to check the quality of the numerical simulation using the obtained material parameters. The comparison between experimental and numerical results demonstrates that the proposed damage model with identified parameters can predict global load–displacement curves and local strain fields with good accuracy.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"205 ","pages":"Article 105294"},"PeriodicalIF":3.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A poroelastic model of the optic nerve shows a significant effect of fluid pressure on the nerve fibers","authors":"Denis Kucherenko , Arina Korneva","doi":"10.1016/j.mechmat.2025.105299","DOIUrl":"10.1016/j.mechmat.2025.105299","url":null,"abstract":"<div><div>The structure of the optic nerve resembles a cylindrical composite where the pia mater surrounds the nervous tissue which is saturated with interstitial fluid. This interstitial fluid is necessary for effective nerve conduction of visual signals. The reaction of the optic nerve to physiological loads remains unknown. Current computational and material models do not fully capture the complexities of this tissue's structure, particularly the biofluid has not yet been considered as a load-supporting material. We developed a microstructurally motivated analytical model of a cylindrical composite with a poroelastic core and an elastic outer layer subjected to an axial load. We examined the effect of the geometry and the material parameters of the composite on the stress distribution across the composite. We found physiologically relevant conditions when the outer layer and the biofluid support most of the applied stress relative to the solid constituents of the core. The model shows that the fluid pressure can be as large as one third of the applied stress. The model makes possible the fluid pressure injuring nerve fibers. This scenario is missing in studies modeling the optic nerve as an elastic solid. We examined how variations in outer layer thickness and compressibility of animal nerves or materials stiffen the stress-strain response. This study provides guidelines for measuring and comparing the material parameters between diseased, aged, and healthy nerves and similar biomaterials. The model can be used to analyze mechanics of similar composites.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105299"},"PeriodicalIF":3.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ronghai Wu , Yuxin Zhang , Zichao Peng , Di Song , Heng Li
{"title":"Predicting multiple fatigue properties of twinning-induced plasticity steels by black-box and white-box machine learning","authors":"Ronghai Wu , Yuxin Zhang , Zichao Peng , Di Song , Heng Li","doi":"10.1016/j.mechmat.2025.105307","DOIUrl":"10.1016/j.mechmat.2025.105307","url":null,"abstract":"<div><div>Predicting multiple fatigue properties of metals under a wide range of conditions is still a challenge, as massive high-dimension inputs and multiple outputs are involved. We systematically conduct fatigue experiments on TWIP steel under various conditions, including different preloading methods, temperatures, strain amplitudes and mean strains. Using experimental data, we propose both black-box and white-box machine learning models to predict the fatigue performance of TWIP steel. The black-box model employs dimensionality reduction, clustering and regression techniques to achieve simultaneous predictions for fatigue life and maximum stress amplitude. The predicted fatigue lives are 100% within 3✕ error band and 88.31% within 2✕ error band. The predicted maximum stress amplitudes are all within 1.51✕ error band. The white-box model utilizes symbolic regression and matching analysis to automatically discover several predictive formulas for fatigue life and maximum stress amplitude, without any predefined equations. The three optimal fatigue life prediction formulas yield 100% predicted values within 3✕ error band and 98% within 2✕ error band. The two optimal maximum stress amplitude prediction formulas yield predicted values all within 1.09✕ error band. Based on the results, we discuss the applicability of our models and propose suggestions for future developments in machine learning fatigue performance predictions.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"205 ","pages":"Article 105307"},"PeriodicalIF":3.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chuan He , Yuanming Lai , Enlong Liu , Siming He , Jianhai Zhang , Yunming Yang
{"title":"Higher-order indentation model based on mixture unified gradient with surface elasticity: A theoretical study","authors":"Chuan He , Yuanming Lai , Enlong Liu , Siming He , Jianhai Zhang , Yunming Yang","doi":"10.1016/j.mechmat.2025.105298","DOIUrl":"10.1016/j.mechmat.2025.105298","url":null,"abstract":"<div><div>This study proposes a higher-order framework for half-space indentation based on mixture unified gradient theory (MUGT) with surface elasticity (SE). MUGT, a well-posed theory that captures both nonlocal and strain gradient properties, is essential for understanding size effects in nano/micro-scale materials and structures. However, indentation problems considering MUGT remain unexplored. We develop efficient analytical and numerical methods to address the problem. In the 3D context, the stress components are analytically determined using 2D Fourier transform applied to constitutive relations that incorporate stress gradient elasticity. Regarding the contact pressure, the problem results in integral equations whose kernel is challenging to obtain explicitly. These are numerically solved using the sum of independent functions, rather than relying on discrete point values as done in previous studies on singular integral equations. Our findings demonstrate that stress gradient elasticity leads to greater surface vertical displacement, whereas strain gradient and surface elasticity result in smaller surface vertical displacement, highlighting the softening and hardening behaviors respectively. Drastically different contact pressure distributions and surface vertical displacements can be obtained compared to existing theories. Particularly, both hardening and softening of size-dependent indentation hardness are intrinsically captured, aligning with available experimental observations. These behaviors, however, are challenging to simultaneously reflect in existing indentation theories due to the exclusion of stress gradient elasticity. The study enhances the understanding of contact mechanics and is of practically significance for nano/micro-scale materials and structures.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105298"},"PeriodicalIF":3.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143480014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jun Wang , Ziwei Ma , Gan Ding , Rong Yang , Songlin Cai , Lanhong Dai , Chunsheng Lu , Minqiang Jiang
{"title":"Impact response of pearlitic steel dominated by ferrite/cementite interface","authors":"Jun Wang , Ziwei Ma , Gan Ding , Rong Yang , Songlin Cai , Lanhong Dai , Chunsheng Lu , Minqiang Jiang","doi":"10.1016/j.mechmat.2025.105300","DOIUrl":"10.1016/j.mechmat.2025.105300","url":null,"abstract":"<div><div>It is experimentally difficult to ascertain the role of ferrite/cementite interface in the impact properties and structural evolution of pearlitic steel. In this paper, we propose a solution based on molecular dynamics simulations of planar shocks of pearlitic steel. It is found that the ferrite/cementite interface reflects the part of a shock wave and facilitates the nucleation of voids and dislocations. Consequently, the disturbance and plastic wave details are added to free surface velocity−time profiles. The evolution of voids contributes to the subsequent occurrence of spallation at interface, generating a power law relationship between the tensile strain rate and spall strength with an exponent of 2.7, which differs from that of 4.0 as spallation happens in polycrystalline ferrite regions.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105300"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A concurrent multiscale simulation for nonlinear flexural and postbuckling analyses of single-layer graphene sheets at finite temperature","authors":"Akash Raikwar, Sandeep Singh","doi":"10.1016/j.mechmat.2025.105297","DOIUrl":"10.1016/j.mechmat.2025.105297","url":null,"abstract":"<div><div>A computationally efficient numerical simulations based on an atomistic-continuum coupling in conjunction with a finite element model are presented for the static response of graphene sheets under transverse and in-plane compressive loads at finite temperatures. The present multiscale approach incorporates the dihedral energy terms in atomic interactions based on Tersoff-Brenner potential and Green-Lagrange nonlinearity through strain displacement relations. The atomic level deformations (bond lengths, bond angles and dihedral angles) are coupled to continuum scale through the quadratic-type Cauchy Born rule. The governing equations at continuum scale are solved through finite element method. The separate subroutine is developed to calculate stress/moments resultants, and the tangent constitutive matrix is embedded in the Gauss-quadrature numerical integration of the elemental equations. The influence of dihedral energy term and finite temperature on the linear and nonlinear bending response and postbuckling analyses of graphene sheets is investigated in detail. In addition, a new set of empirical parameters proposed by authors in their earlier work has also been examined for the nonlinear response of graphene sheets.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"205 ","pages":"Article 105297"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143519730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Necessary conditions for stable equilibrium states of lattice solids based on the Cosserat elasticity theory","authors":"Milad Shirani , Mircea Bîrsan","doi":"10.1016/j.mechmat.2025.105292","DOIUrl":"10.1016/j.mechmat.2025.105292","url":null,"abstract":"<div><div>In this work, we derive the necessary conditions for stable equilibrium states for fibrous materials and lattice solids. We use Cosserat elasticity to obtain balance laws and boundary conditions by minimizing the total potential energy. Afterward, we find conditions that have to be satisfied by the solutions of the balance laws and boundary conditions. These conditions are quasi-convexity condition, ordinary convexity condition, and Legendre–Hadamard inequalities. For the surfaces of discontinuity, we derive Maxwell–Eshelby relations.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105292"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sui Jia , Hao Zhang , Jidong Yu , Xiaoyang Pei , Songlin Yao , Qiang Wu
{"title":"Modeling of shock-induced plasticity of single-crystalline magnesium with a coupled dislocation and twinning constitutive model","authors":"Sui Jia , Hao Zhang , Jidong Yu , Xiaoyang Pei , Songlin Yao , Qiang Wu","doi":"10.1016/j.mechmat.2025.105296","DOIUrl":"10.1016/j.mechmat.2025.105296","url":null,"abstract":"<div><div>Despite significant attention over recent decades, the dynamic plasticity of magnesium (Mg) under high pressure and high strain rates remains far from well understood owing to the complexity of deformation under such extreme conditions. In particular, dynamic twinning plasticity is still described by phenomenological models, which limits further understanding of the dynamic mechanical response of metals. In this work, a twinning substructure model, in which twinning nucleation, propagation, and growth are taken into account, is applied to address plastic deformation of single-crystalline Mg subjected to shock compression. The model is coupled with a dislocation plasticity model under the thermoelastic–viscoplastic framework. By utilizing this combined model, a quantitative connection between the evolution of defects, including dislocations and twins, and the experimentally measured wave profiles is established. Modeling the mechanical response of single-crystalline Mg under shock compression provides new insights into the twinning-related plasticity of Mg, revealing that the typical features of the wave profile of Mg are significantly influenced by twinning, especially those along the (10–10) direction. Notably, in contrast to the classical understanding predicted by the dislocation plasticity model that deformation on the elastic precursor wavefront is purely one-dimensional elastic, the new model indicates that twinning nucleation leads to considerable plastic deformation on the elastic precursor wavefront. Additionally, plasticity along the (10–10) direction at the plastic front is demonstrated to be governed by twinning and dislocation mechanisms acting together, while the power-scaling law appears to be almost independent of the twinning mechanisms.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105296"},"PeriodicalIF":3.4,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143464767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic effective properties of piezoelectric composites with inclusions in arbitrary orientations","authors":"Yanpeng Yue , Yongping Wan , Zheng Zhong","doi":"10.1016/j.mechmat.2025.105293","DOIUrl":"10.1016/j.mechmat.2025.105293","url":null,"abstract":"<div><div>The dynamic effective properties of piezoelectric composites containing inclusions oriented in arbitrary directions are studied using the self-consistent method. The direction angle distribution function is introduced to describe the orientations of inclusions. An interpolation method for calculating the angle average integral is provided. The results of this work show good agreement with other theoretical and experimental results, both for the static and dynamic effective properties. The effect of the volume fraction on the effective phase velocity and attenuation is examined. The influence of the degree of alignment of the inclusions on the effective elastic moduli and resonant frequency is analyzed. The results show that the effects of the shape and orientation of the inclusions, as well as the frequency, act jointly rather than independently. The model will offer theoretical insights into controlling elastic waves in piezoelectric composites by adjusting the orientation of inclusions.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"204 ","pages":"Article 105293"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}