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Thermal buckling analysis of functionally graded multilayer hybrid nanocomposite annular sector plate reinforced by GPLs and CNTs gpl和CNTs增强多层杂化纳米复合环形扇形板的热屈曲分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-01 DOI: 10.1007/s00419-025-02873-w
Amin Kalhori, Mohammad Javad Bayat, Kamran Asemi
{"title":"Thermal buckling analysis of functionally graded multilayer hybrid nanocomposite annular sector plate reinforced by GPLs and CNTs","authors":"Amin Kalhori,&nbsp;Mohammad Javad Bayat,&nbsp;Kamran Asemi","doi":"10.1007/s00419-025-02873-w","DOIUrl":"10.1007/s00419-025-02873-w","url":null,"abstract":"<div><p>Annular and annular sector plates play a critical structural role in a wide range of industrial applications—such as heat exchangers, nuclear reactors, gas turbines, and aerospace systems—where they are routinely subjected to combined mechanical and thermal loads that pose significant risks of structural failure. The purpose of this research is to investigate the thermal buckling response of functionally graded (FG) multilayered hybrid nanocomposite annular sector plates reinforced with carbon nanotubes (CNTs) and graphene platelets (GPLs). The effective mechanical, elastic, and physical properties of the composite structure are evaluated using a modified model derived from the Halpin–Tsai micromechanical framework, integrated with the rule of mixtures. The theoretical formulation is developed based on the first-order shear deformation theory, and the differential quadrature finite element method is utilized to derive the numerical solutions. Multiple nanofiller distribution patterns, such as uniform distribution and functionally graded arrangements (FG-X, FG-O, and FG-V), are investigated to determine the most effective layer grading strategy. To assess the accuracy of the proposed methodology, comparative analyses are performed against existing published findings. The results indicate that a proper piecewise functionally graded distribution of CNT and GPL nanofillers can enhance the thermal buckling load capacity by up to 35%. To comprehensively evaluate the thermal buckling stability of composite annular sector plate structures, the effects of various parameters—including the nanofiller distribution pattern, weight fractions of CNTs and GPLs, number of layers, volume fraction index for nonlinear gradation patterns, sector angle, radius ratio, thickness ratio, and boundary conditions—are thoroughly examined. The findings are systematically presented using detailed graphical representations, diagrams, and tabulated data.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160497","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}
引用次数: 0
A performance analysis of hydrodynamic journal bearing lubricated with hybrid MWCNTs-TiO2 nanolubricants considering thermal effects 考虑热效应的MWCNTs-TiO2混合纳米润滑剂润滑流体动力滑动轴承的性能分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-07-01 DOI: 10.1007/s00419-025-02882-9
Mustafa Kilic, Abdurrahim Dal, Mahir Sahin
{"title":"A performance analysis of hydrodynamic journal bearing lubricated with hybrid MWCNTs-TiO2 nanolubricants considering thermal effects","authors":"Mustafa Kilic,&nbsp;Abdurrahim Dal,&nbsp;Mahir Sahin","doi":"10.1007/s00419-025-02882-9","DOIUrl":"10.1007/s00419-025-02882-9","url":null,"abstract":"<div><p>The new development of nanotechnology proposes cost-effective and upgrading solutions for tribological characteristics of the lubricant. One of these solutions is the coexistence of two or more types of nanoparticles known as hybrid nanoparticles. This work presents useful results of research on the performance features of the circular journal bearings operated with SAE30/TiO<sub>2</sub>-MWCNTs (SAE 30-grade base oil blended with titanium dioxide and multi-walled carbon nanotube hybrid nanoparticles) hybrid nanolubricant. In this study, the mathematical model of the lubricant with hybrid nanolubricant is based on the Dowson equation and three-dimensional heat transfer equations. Furthermore, the thermophysical specifications of the hybrid nanoparticle are formulized in terms of characteristics of the base lubricant, TiO<sub>2</sub>, and MWCNTs, as well as an empirical formula for the viscosity–temperature relationship. To obtain bearing performance features, a series simulation is conducted under various volume and mass fractions of hybrid nanoparticle and operational conditions (a range of eccentricity ratio from 0.05 to 0.8 and a range of rotating speed from 1000 to 9000 r/min) with a developed algorithm for the iterative solution. The results showed that the effect of the hybrid nanoparticles on the maximum pressure and the load capacity are more visible at high eccentricity ratio, and nanolubricants could increase the load capacity, maximum pressure, and friction force till 11%, 13%, and 15%, respectively. Besides, when the bearing operates with a lubricant containing MWCNTs-TiO<sub>2</sub>, the pressure values are higher than the lubricant containing solely MWCNTs nanoparticles by 0.2%, while they are lower than the lubricant containing solely TiO<sub>2</sub> nanoparticles by 1%.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02882-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comment on the paper “Numerical simulation for non-constant parameters effects on blood flow of Carreau–Yasuda nanofluid flooded in gyrotactic microorganisms: DTM-Pade application, M.G. Ibrahim, Archive of Applied Mechanics (2022) 92:1643–1654” “非恒定参数对旋转微生物中carau - yasuda纳米流体血流影响的数值模拟:DTM-Pade应用,M.G. Ibrahim,应用力学档案(2022)92:1643-1654”论文评论
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-30 DOI: 10.1007/s00419-025-02883-8
Asterios Pantokratoras
{"title":"Comment on the paper “Numerical simulation for non-constant parameters effects on blood flow of Carreau–Yasuda nanofluid flooded in gyrotactic microorganisms: DTM-Pade application, M.G. Ibrahim, Archive of Applied Mechanics (2022) 92:1643–1654”","authors":"Asterios Pantokratoras","doi":"10.1007/s00419-025-02883-8","DOIUrl":"10.1007/s00419-025-02883-8","url":null,"abstract":"<div><p>Many serious errors exist in the above paper.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02883-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Principal Hankel Component Algorithm with Data Correlations (PHCA/DC) for the state-space model identification and the experimental modal analysis of structural systems 基于数据关联的主Hankel分量算法(PHCA/DC)用于结构系统状态空间模型识别和试验模态分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-29 DOI: 10.1007/s00419-025-02855-y
Carmine Maria Pappalardo, Şefika İpek Lök, Ömer Ekim Genel, Domenico Guida
{"title":"A Principal Hankel Component Algorithm with Data Correlations (PHCA/DC) for the state-space model identification and the experimental modal analysis of structural systems","authors":"Carmine Maria Pappalardo,&nbsp;Şefika İpek Lök,&nbsp;Ömer Ekim Genel,&nbsp;Domenico Guida","doi":"10.1007/s00419-025-02855-y","DOIUrl":"10.1007/s00419-025-02855-y","url":null,"abstract":"<div><p>This paper develops a new computational procedure for the time-domain state-space first-order model identification of dynamical systems and demonstrates its superior capabilities for the experimental modal analysis of structural systems. The applied system identification method devised in this work is referred to as the Principal Hankel Component Algorithm with Data Correlations (PHCA/DC). This study extensively evaluates the performance of the proposed computational method across various scenarios of interest in mechanical engineering. Firstly, the identification method analyzed in the paper is applied to a benchmark system comprising a two-degree-of-freedom mass–spring–damper mechanical system. Subsequently, a demonstrative example involving a finite element model of a truss system is used to demonstrate the effectiveness and applicability of the proposed method in more complex structural configurations. Finally, the methodology considered in this work is tested in a case study involving the experimental modal analysis of a three-story shear building system, providing insights into its applicability and performance in realistic scenarios. The numerical and experimental results found in this investigation corroborate the effectiveness and reliability of the proposed time-domain system identification methodology, thereby highlighting its potential for practical applications in structural dynamic analysis and modal parameters identification of mechanical engineering systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171170","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}
引用次数: 0
Virtual beam-based prior interface reduction for optimizing plate substructures with complex interface geometry 基于虚拟梁的优先界面简化优化复杂界面几何形状板子结构
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-27 DOI: 10.1007/s00419-025-02881-w
Tuan Anh Bui, Jun-Sik Kim, Junyoung Park
{"title":"Virtual beam-based prior interface reduction for optimizing plate substructures with complex interface geometry","authors":"Tuan Anh Bui,&nbsp;Jun-Sik Kim,&nbsp;Junyoung Park","doi":"10.1007/s00419-025-02881-w","DOIUrl":"10.1007/s00419-025-02881-w","url":null,"abstract":"<div><p>Collaboration among multiple companies on a project to design and produce complex structures offers numerous benefits, including reduced time and production costs, as well as enhanced product quality. Component mode synthesis techniques can be used to divide the entire structure into many substructures, thus distributing the design tasks among various groups. When substructures have a large number of physical degrees of freedom at the interface, interface reduction is necessary to ensure a reasonable computation time. Prior interface reduction methods, such as the orthogonal polynomial method, allow reduced-order models of substructures to be constructed independently. This independence allows the work of different teams to be non-overlapping, thereby increasing overall labor productivity. However, the orthogonal polynomial method encounters limitations when applied to interfaces with complex geometries. To address these challenges, this paper proposes a new prior interface reduction method. The interface reduction basis will be created from the eigenvalue analysis of a virtual beam, which mirrors the interface geometry. The examples presented in this paper show that the proposed method achieved high accuracy while maintaining a compact reduction basis.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170667","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}
引用次数: 0
An ES-MITC3+ plate element for static, free vibration, and buckling analyses of porous plates based on a higher-order shear deformation theory 基于高阶剪切变形理论的多孔板静力、自由振动和屈曲分析ES-MITC3+板单元
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-27 DOI: 10.1007/s00419-025-02865-w
Binh Le-Phuong, Thanh Chau-Dinh
{"title":"An ES-MITC3+ plate element for static, free vibration, and buckling analyses of porous plates based on a higher-order shear deformation theory","authors":"Binh Le-Phuong,&nbsp;Thanh Chau-Dinh","doi":"10.1007/s00419-025-02865-w","DOIUrl":"10.1007/s00419-025-02865-w","url":null,"abstract":"<div><p>In this paper, a new three-node triangular plate element is proposed to analyze porous plates based on the higher-order shear deformation theory (HSDT). This approach eliminates the need for shear correction factors to adjust transverse shear behaviors by incorporating higher-order terms into the displacement fields. A bubble node located at the centroid of the element enhances displacement approximations with a cubic shape function. The in-plane strain fields are improved by averaging over the domains of elements sharing common edges, following the edge-based smoothed (ES) strain method. The surface integration of the in-plane stiffness matrices transforms to line integration on the boundaries of the smoothing domain based on the divergence theorem. The transverse shear strain fields are separately interpolated based on the MITC3+ shear-locking removal technique. The robustness of the presented element, namely ES-MITC3+ element, is investigated through static, free vibration, and buckling analyses of several benchmark porous plates with various shapes, distributions of porosity, ratios of length to thickness, porosity coefficients, and boundary conditions. Compared to other references, the proposed element has shown excellent performance in the static analysis and has proven suitable for the free vibration and buckling analyses of porous plates. As the porosity coefficient rises, the deflections of porous plates increase, while their natural frequencies and critical buckling loads diminish due to a decrease in their rigidity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170701","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}
引用次数: 0
Using nonlinear energy sink to suppress the torsional vibration of electromechanical coupling transmission system 利用非线性能量汇抑制机电耦合传动系统扭振
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-26 DOI: 10.1007/s00419-025-02876-7
Yong Wang, Jiachen Li, Xiaodong Sun, Haodong Meng, Li-Qun Chen
{"title":"Using nonlinear energy sink to suppress the torsional vibration of electromechanical coupling transmission system","authors":"Yong Wang,&nbsp;Jiachen Li,&nbsp;Xiaodong Sun,&nbsp;Haodong Meng,&nbsp;Li-Qun Chen","doi":"10.1007/s00419-025-02876-7","DOIUrl":"10.1007/s00419-025-02876-7","url":null,"abstract":"<div><p>The permanent magnet synchronous motor (PMSM) has been widely used in the new energy electric vehicle, due to its reliable structure, high efficiency and high torque density, the PMSM driven transmission system is a electromechanical coupling transmission system (ECTS), which could occur torsional vibration in the PMSM startup, braking and other transient conditions. Here, a novel nonlinear energy sink (NES) based on the elastic connected disc mechanism is proposed and applied in the PMSM driven transmission system to attenuate the torsional vibration. The dynamic model of the ECTS coupled with NES is established, which considers the electromagnetic excitation nonlinearity and NES nonlinear characteristic. The dynamic performance of the ECTS coupled with NES under harmonic excitation, shock excitation and random excitation are studied, and evaluated by the torsional angle of transmission system and the relative torsional angle between the PMSM and transmission system, also compared with those of the original ECTS and ECTS coupled with traditional dynamic vibration absorber (DVA). The effects of PMSM and NES structural parameters on the dynamic performance of the ECTS are studied, and the NES structural parameters are further optimized using the genetic algorithm. The results show that compared with the original ECTS and ECTS coupled with DVA, applying the NES in the ECTS can reduce the torsional angle peak amplitude and widen the stable frequency region when the system is under harmonic excitation, can decrease the torsional angle amplitude and reduce the vibration attenuation time when the system is under shock excitation, can reduce the root mean square (RMS) value of the relative torsional angle between the PMSM and transmission system when the system is under random excitation. The dynamic performance of the ECTS coupled with NES can be improved by selecting larger internal power factor angle, larger ampere-turn, larger pole pair and smaller saturation ratio of the PMSM. In addition, the torsional vibration suppression performance of the NES can be enhanced by choosing larger rotational inertia and appropriate damping, the effect of the stiffness of the spring inside the NES is limited. Therefore, the proposed NES is a novel mechanism and can improve the dynamic performance of the ECTS effectively.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169584","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}
引用次数: 0
Hollow core-based FGP bio-resonator incorporating coupled mass-driven wide response range via nonlocal parabolic shear strain framework 基于空心核的FGP生物谐振器,通过非局部抛物线剪切应变框架结合耦合质量驱动的宽响应范围
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-26 DOI: 10.1007/s00419-025-02877-6
Soumia Khouni, Hicham Bourouina, Abir Lamari, Mohamed Mektout, Yahia Maiza
{"title":"Hollow core-based FGP bio-resonator incorporating coupled mass-driven wide response range via nonlocal parabolic shear strain framework","authors":"Soumia Khouni,&nbsp;Hicham Bourouina,&nbsp;Abir Lamari,&nbsp;Mohamed Mektout,&nbsp;Yahia Maiza","doi":"10.1007/s00419-025-02877-6","DOIUrl":"10.1007/s00419-025-02877-6","url":null,"abstract":"<div><p>This study aims to examine the adsorption-induced resonance frequency shift in a biomolecule-resonator system subjected to a magnetic field, considering shear distortion, distributed adatoms, and small-scale effects using nonlocal strain gradient elasticity theory (SGET). The theory includes two scale parameters that correspond to both strain gradient and nonlocal effects, enabling accurate modeling of size-dependent behaviors critical for biosensing applications. The goal is to develop a dynamic behavior model suitable for determining the mass and density of proteins and viruses. The microstructure is modeled as sandwich, with functionally graded porous (FGP) face sheets and hollow intercore, featuring two-dimensional periodic square holes (2D PSH) network. The material gradation properties across the graded layer are described according to a power-law function, while the porosity is represented using even and uneven distributions. The Levinson beam model (LBM) and the Euler–Bernoulli beam model (EBM) are developed by modifying the standard beam equations, and the governing equations are solved applying the Navier-type method (NTM) and the differential quadrature method (DQM) is implemented with the SBCGE technique for boundary conditions, which provides increased accuracy. The interaction-driven resonance is modeled through van der Waals (vdW) energy utilizing Morse and Lennard–Jones (6–12) potentials. The computations show that the computed nonlocal shift is influenced by the active surface, adsorbed adatoms, and localized receptor and proteins. Additionally, the response is affected by perforation properties, magnetic field, and small-scale effects, emphasizing the complex interaction between structural and environmental factors. The proposed model proves its effectiveness in analyzing the dynamic behavior, aiding in the precise determination of protein mass and density, and enhancing mass sensing technologies within micro/nanoelectromechanical systems M/NEMS.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169585","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}
引用次数: 0
Thermoviscoelastic diffusion analysis of a cylindrical cavity via three-phase-lag law and nonlocality effect 基于三相滞后定律和非局域效应的圆柱腔热粘弹性扩散分析
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-25 DOI: 10.1007/s00419-025-02861-0
Gulshan Makkad, Lalsingh Khalsa, Anand Kumar Yadav, Vinod Varghese
{"title":"Thermoviscoelastic diffusion analysis of a cylindrical cavity via three-phase-lag law and nonlocality effect","authors":"Gulshan Makkad,&nbsp;Lalsingh Khalsa,&nbsp;Anand Kumar Yadav,&nbsp;Vinod Varghese","doi":"10.1007/s00419-025-02861-0","DOIUrl":"10.1007/s00419-025-02861-0","url":null,"abstract":"<div><p>The study explores an infinitely extended Kelvin–Voigt visco-thermoelastic continuum with a cylindrical cavity, applying generalized thermoelastic diffusion theory and focusing on three-phase-lag non-local heat conduction law. The chemical potential at the boundary is considered a known time-dependent function. The analysis assumes a traction-free cavity surface subjected to a smooth, time-dependent heating effect, and the problem is addressed in the Laplace domain. Numerical inversion of the Laplace-transformed solutions is performed. The research juxtaposes the theoretical predictions with those of generalized thermoelastic diffusion theory, examining the influence of the time-nonlocal parameter and visco-thermoelastic relaxation parameter on various thermoelastic quantities. This is achieved by computing and graphically presenting the distributions of temperature, displacement, stress, concentration, and chemical potential. The findings are significant for aerospace engineering, MEMS/NEMS devices, and energy-harvesting systems. The developed framework enhances predictive capabilities for material behavior under transient thermal and mechanical loads. Future research could explore more complex geometries and boundary conditions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169114","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}
引用次数: 0
A short note on minor and major symmetries in linear elasticity 关于线弹性中的小对称和大对称的简短说明
IF 2.5 3区 工程技术
Archive of Applied Mechanics Pub Date : 2025-06-25 DOI: 10.1007/s00419-025-02879-4
Stefan Hartmann, Alexander Düster
{"title":"A short note on minor and major symmetries in linear elasticity","authors":"Stefan Hartmann,&nbsp;Alexander Düster","doi":"10.1007/s00419-025-02879-4","DOIUrl":"10.1007/s00419-025-02879-4","url":null,"abstract":"<div><p>Simply applying the directional derivative either twice to the strain-energy density function (hyperelasticity) or once to the stress–strain state (Cauchy elasticity) does not lead to the symmetries of the fourth-order elasticity tensor specified in the literature. Moreover, there are many justifications and arguments for the desired symmetries, which are summarized in this contribution. Thus, a symmetrization operator has to be introduced to guarantee minor symmetry, since the symmetry of the strain tensor is frequently neglected but is needed to obtain results required for particular elasticity relations. A thorough investigation is provided for both Cauchy elasticity and hyperelasticity, and what conclusion can be drawn on by various assumptions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02879-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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