Acta Mechanica最新文献_第5页

Implementation of isotropic hyperelastic material models: a »template« approach 各向同性超弹性材料模型的实现：一种“模板”方法

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-17 DOI: 10.1007/s00707-025-04235-7

S. Eisenträger, L. Maurer, D. Juhre, H. Altenbach, J. Eisenträger

{"title":"Implementation of isotropic hyperelastic material models: a »template« approach","authors":"S. Eisenträger, L. Maurer, D. Juhre, H. Altenbach, J. Eisenträger","doi":"10.1007/s00707-025-04235-7","DOIUrl":"10.1007/s00707-025-04235-7","url":null,"abstract":"<div><p>The implementation of new constitutive models in existing finite element software is often complicated and daunting. It requires in-depth knowledge of different disciplines such as mathematics (tensor calculus), computer science (advanced knowledge of different programming languages: <span>MATLAB</span>, <span>FORTRAN</span>, <span>Python</span>, <span>Julia</span>, etc., data structures, and software architecture), and continuum mechanics. Therefore, the process of implementing new material models is a rather complex task, best left to specialists in the field of computational material science. This, however, constitutes a severe roadblock for scientific progress as experts developing novel numerical algorithms might lack knowledge in at least one of the mentioned areas. Hence, the overarching goal of this paper is to provide a cookbook-type recipe for implementing <i>hyperelastic</i> material models in finite element software. The process of implementing a hyperelastic model is broken down into small steps such that only a good understanding of calculus of univariate functions (chain rule, product rule, etc.) is required. Without loss of generality, we limit our presentation to material models implemented in <span>MATLAB</span>. The general methodology is, however, easily applicable also to any other programming language of choice. To facilitate the adoption of our approach, the implementation of several constitutive laws is showcased, including established models such as the 2-parameter Mooney-Rivlin model and the Arruda-Boyce (8-chain) model and more exotic ones such as the 4-parameter model and the Knowles model. Listings of all necessary files are provided throughout the paper, which can be easily adapted for other models and additionally an https://bitbucket.org/ifmedevs/hyper-mat/src/main/repository can be accessed. \u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1899 - 1934"},"PeriodicalIF":2.3,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04235-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638605","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

Optimization analysis of stiffness and natural frequency of unidirectional and randomly oriented short fiber-reinforced composite materials 单向和随机取向短纤维增强复合材料刚度和固有频率的优化分析

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-17 DOI: 10.1007/s00707-025-04253-5

Emmanuel Chukwueloka Onyibo, Aysegul Gazioglu, Mohammad Abulibdeh, Osman Mohamed Osman, Turki Bin Huwail, Mohammed Alkhatib, Amr Aburemeis, Seyedalireza Razavi, Saeid Sahmani, Babak Safaei

{"title":"Optimization analysis of stiffness and natural frequency of unidirectional and randomly oriented short fiber-reinforced composite materials","authors":"Emmanuel Chukwueloka Onyibo, Aysegul Gazioglu, Mohammad Abulibdeh, Osman Mohamed Osman, Turki Bin Huwail, Mohammed Alkhatib, Amr Aburemeis, Seyedalireza Razavi, Saeid Sahmani, Babak Safaei","doi":"10.1007/s00707-025-04253-5","DOIUrl":"10.1007/s00707-025-04253-5","url":null,"abstract":"<div><p>In this study, numerical and analytical techniques including finite element analysis (FEA), rule of mixture (ROM), and Halpin–Tsai model were used to study the effects of the fiber volume fraction (FVF) on the vibrational responses of microscale unidirectional (UD) and random short fiber-reinforced (RSFR) finite element (FE)-modeled composite unit cells. It was found that as the FVF increases, so do the strength, resistance to deformation (stiffness), and natural frequency of the fiber-reinforced composite. However, such improvements have also shown to cause an increase in the overall mass of the composites, due to higher FVFs, and therefore, resulting in the exhibition of an early fiber–matrix debonding potential. The results of the simulation showed that the optimal dynamic stability was attained for a FVF of 0.3, and the maximum resistance to deformation with respect to stiffness-to-mass ratio was achieved for a FVF of 0.2. These results highlight the importance of selecting optimum FVFs for achieving the best balance between the desired performance (stiffness-to-mass) and mechanical properties of unidirectional fiber-reinforced composites (UD-FRC) and RSFR composites. Also, the harmonic loading capabilities of the hybrid composites having optimized FVFs were equally investigated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1935 - 1953"},"PeriodicalIF":2.3,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04253-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638604","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

Stress distribution and deflection of symmetric tapered beams 对称锥形梁的应力分布与挠度

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-12 DOI: 10.1007/s00707-025-04243-7

Juergen Schoeftner

{"title":"Stress distribution and deflection of symmetric tapered beams","authors":"Juergen Schoeftner","doi":"10.1007/s00707-025-04243-7","DOIUrl":"10.1007/s00707-025-04243-7","url":null,"abstract":"<div><p>This paper discusses stress distributions and deflections of tapered beams. Assuming the elementary axial stress distribution and applying Jourawski theory, the shear stress is calculated. In an analogous manner, the transverse normal stress is computed. In contrast to prismatic beams, the shear and the transverse normal stress do not vanish over the surfaces if the beam height varies, even if surface tractions are not present. Their values also depend on the tapering angle and the axial stress at the boundary. Then analytical expressions for the deflections are computed by applying Castigliano’s second theorem and considering a fictitious (dummy) force. The complementary strain energy is computed from the derived stress relations as a function of the real load and the dummy forces and moments. Taking the partial derivative with respect to the dummy force, the analytical results for the axial and vertical deflections are calculated. The outcome of the derived tapered beam model is compared to elementary results from Bernoulli-Euler and Timoshenko. The target solutions are obtained by two-dimensional finite element calculations for a tapered cantilever and a clamped-hinged beam subjected to various loads. It is shown that both the shear stress and also the transverse normal stress are correctly predicted by the new method and the deflections computed by Castigliano’s theorem are in a very good agreement with numerical solutions. Errors are significantly reduced compared to the errors of the Timoshenko solution.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1883 - 1898"},"PeriodicalIF":2.3,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04243-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638135","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

Correction to: A novel modified nonlocal strain gradient theory for comprehensive analysis of functionally graded nanoplates 修正：一种用于功能梯度纳米片综合分析的新型修正非局部应变梯度理论

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-10 DOI: 10.1007/s00707-024-04189-2

Pham Van Vinh

引用次数: 0

Reflection, transmission and energy ratio characteristics of elastic waves in fractional-order viscoelastic nanoplates 分数阶粘弹性纳米片中弹性波的反射、透射和能量比特性

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-09 DOI: 10.1007/s00707-025-04246-4

Chuang Yang, Jiangong Yu, Cancan Liu, Lahoucine Elmaimouni

{"title":"Reflection, transmission and energy ratio characteristics of elastic waves in fractional-order viscoelastic nanoplates","authors":"Chuang Yang, Jiangong Yu, Cancan Liu, Lahoucine Elmaimouni","doi":"10.1007/s00707-025-04246-4","DOIUrl":"10.1007/s00707-025-04246-4","url":null,"abstract":"<div><p>Based on nonlocal elasticity theory, the Weyl definition of fractional-order derivatives and the extended Legendre orthogonal polynomial method are employed to solve the elastic wave reflection and transmission characteristics in two fractional viscoelastic nanoplates sandwiched in two elastic half-spaces in the context of the Kelvin–Voigt viscoelastic theory. The extended Legendre polynomial method is verified by the existing literature and global matrix method. The influences of nonlocal effects and fractional order on the reflection, transmission and energy ratio of elastic waves are analyzed. The result of research shows that the nonlocal effect increases the energy dissipation caused by viscoelasticity. The nonlocal effect and viscoelasticity is related to fractional order (<i>ɑ</i>): When <i>ɑ</i> < 0.3, the mutual strength between viscoelastic and nonlocal effects becomes stronger with the decrease of the fractional order; when <i>ɑ</i> ˃ 0.3, the mutual inhibition of viscoelasticity and nonlocal effects becomes stronger with the increase in fractional order; and when <i>ɑ</i> = 0.3, the viscoelasticity and nonlocal effects show changes from strength to inhibition with the increase in nonlocal effects. With the increase in incident frequency, the critical angles of pure elastic structure and viscoelastic structure become smaller and larger, respectively. The results can be used in the fabrication and design of SAW devices, transducers and sensors, and to improve the stability and performance of micro/nano-electronic components.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1863 - 1882"},"PeriodicalIF":2.3,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638583","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

Fiber-reinforced material in a double porous transversely isotropic medium with rotation and variable thermal conductivity 具有旋转和可变导热系数的双孔横向各向同性介质中的纤维增强材料

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-08 DOI: 10.1007/s00707-025-04238-4

Madhu Khatri, Sunita Deswal, Kapil Kumar Kalkal

{"title":"Fiber-reinforced material in a double porous transversely isotropic medium with rotation and variable thermal conductivity","authors":"Madhu Khatri, Sunita Deswal, Kapil Kumar Kalkal","doi":"10.1007/s00707-025-04238-4","DOIUrl":"10.1007/s00707-025-04238-4","url":null,"abstract":"<div><p>The present manuscript investigates the thermoelastic interactions in a double porous transversely isotropic fiber-reinforced material with rotation and variable thermal conductivity, when a thermal load is applied on the surface of the half-space. The governing equations are formulated in the light of Green–Lindsay theory of generalized thermoelasticity. The normal mode technique is adopted to procure the analytical expressions for the physical fields such as temperature, stresses, equilibrated stresses and displacement components in the physical domain. With the help of MATLAB software, these physical fields are computed numerically and depicted graphically to scrutinize the effects of rotation, variable thermal conductivity and time on the physical fields. Some comparisons are made in the presence and absence of double porosity and fiber reinforcement to highlight the distinctive nature of the problem under investigation. Furthermore, it is observed that the physical fields are consistent with the boundary conditions and become zero outside some bounded region of space. This observation aligns with the principles of generalized thermoelasticity theory.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1819 - 1843"},"PeriodicalIF":2.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638522","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

Effects of intrinsic deformation-dependent diffusion-induced stress of electrode particles in lithium-ion batteries 锂离子电池中电极颗粒本征变形相关扩散诱导应力的影响

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-08 DOI: 10.1007/s00707-025-04242-8

Yiyu Zhang, Shuanglong Geng, Yong Li, Feng Wang, Bailin Zheng, Kai Zhang

{"title":"Effects of intrinsic deformation-dependent diffusion-induced stress of electrode particles in lithium-ion batteries","authors":"Yiyu Zhang, Shuanglong Geng, Yong Li, Feng Wang, Bailin Zheng, Kai Zhang","doi":"10.1007/s00707-025-04242-8","DOIUrl":"10.1007/s00707-025-04242-8","url":null,"abstract":"<div><p>This work explores the mechanical behavior of silicon (Si) anode materials in lithium-ion batteries (LIBs) during the charge–discharge process, with a focus on the impact of intrinsic deformation on diffusion-induced stress and the diffusion coefficient. Compared to traditional graphite anodes, silicon offers a significantly higher theoretical capacity and is more cost-effective due to its abundance. However, Si anodes experience substantial volume changes, up to 300% during lithiation, leading to large intrinsic strains that affect the diffusion process and stress distribution within the electrode. The study investigates how these intrinsic deformations influence the diffusion coefficient, using a theoretical model based on large deformation theory and continuum mechanics. The diffusion-induced stress is analyzed using the thermal stress analogy method, and numerical simulations are performed to solve the complex nonlinear equations involved. The results reveal how intrinsic deformation-related changes in the diffusion coefficient affect lithium concentration distribution and stress in the electrode under various conditions. These findings are crucial for the design of low-stress, high-performance LIBs, offering insights into optimizing the mechanical stability and electrochemical performance of Si-based anodes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1845 - 1862"},"PeriodicalIF":2.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638521","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

Analysis of bending in stretchable nanocomposite badminton sport plates composed of graphene-origami metamaterials 石墨烯-折纸超材料组成的可拉伸纳米复合羽毛球运动板的弯曲分析

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-07 DOI: 10.1007/s00707-025-04244-6

He Jiajia, Mohd Ahmed, Nejib Ghazouani

引用次数: 0

Chebyshev-PEM approach for the stochastic dynamic analyses of FG-GPLRC annular plate 用于 FG-GPLRC 环形板随机动态分析的切比雪夫-PEM 方法

IF 2.3 3区工程技术

Acta Mechanica Pub Date : 2025-02-06 DOI: 10.1007/s00707-024-04205-5

Qingzheng Xie, Qingshan Wang, Rui Zhong

引用次数: 0

Modification of the Vlasov subsoil model Vlasov地基模型的修正