{"title":"Kriging-based uncertainty optimization of vibration characteristics for laminated elliptical shells considering material and load uncertainties","authors":"Tianchen Huang , Qingshan Wang , Liming Chen , Rui Zhong","doi":"10.1016/j.euromechsol.2025.105587","DOIUrl":"10.1016/j.euromechsol.2025.105587","url":null,"abstract":"<div><div>In this paper, an uncertainty optimization method based on Kriging surrogate model is proposed to optimize the laying angles of laminated elliptical shells. First, a transient dynamic model of laminated elliptical shells is constructed to calculate the vibration energy. The accuracy of the transient dynamic model is validated by comparing the results from literature with the solutions of finite element model. Then, the Subtraction-Average-Based Optimizer is improved and used for the optimization of the hyper-parameters of the Kriging surrogate model. Furthermore, a sensitivity analysis is conducted using the constructed Kriging surrogate models to identify several uncertainty parameters that have a significant impact on the vibration energy response. Subsequently, two Kriging surrogate models with the identified significant uncertainty parameters and the design variables (laying angles) as input and the vibration energy as output are reconstructed for different structural boundaries, thicknesses, and shift distance of revolution axis, respectively. The applicability of these Kriging surrogate models for uncertainty analysis is verified by comparing with the Monte Carlo simulation results. Finally, the improved Subtraction-Average-Based Optimizer (ISABO) combined with the Kriging surrogate models is employed to optimize the laying angles of the laminated elliptical shells under material and load uncertainties. The results of the optimized peak values of vibration energy and intervals of peaks demonstrate that the uncertainty optimization method proposed in this paper is applicable and efficient.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105587"},"PeriodicalIF":4.4,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136046","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":"Efficient time-stepping for the evolution equations of damage-induced growth and remodelling in soft biological tissues","authors":"Igor Tagiltsev, Peter Wriggers","doi":"10.1016/j.euromechsol.2025.105582","DOIUrl":"10.1016/j.euromechsol.2025.105582","url":null,"abstract":"<div><div>The constrained mixture method is a powerful instrument to model soft biological tissues, in particular — their growth and remodelling (G&R) behaviour. Its clear drawback lays in the increase of governing equations which corresponds to the increase of material constituents. In the current paper we scrutinise a particular G&R model, that is based on the detailed description of material’s chemo-mechano-biological state, caused by excessive load associated with collagen fibres’ unfolding. The model consist of many interacting evolution equations, solving of which takes most of computational time during applied simulations. Two qualitative model assumptions are made to improve its capabilities. Moreover, several iteration-free numerical schemes are introduced addressing the integration of evolution equations. We show that the numerical performance of the model drastically improves with the proposed schemes, while no compromises with respect to robustness or accuracy of the simulation are made.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105582"},"PeriodicalIF":4.4,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Anton Y. Beliaev, Roman I. Izyumov, Alexander L. Svistkov
{"title":"Stability loss of a thin subsurface layer as a result of stresses caused by the distributed electric charge","authors":"Anton Y. Beliaev, Roman I. Izyumov, Alexander L. Svistkov","doi":"10.1016/j.euromechsol.2025.105585","DOIUrl":"10.1016/j.euromechsol.2025.105585","url":null,"abstract":"<div><div>A new variant of the analysis of the mechanical behaviour of an elastic layer with uniformly distributed electric charges is proposed. With a special term in the equation, written on the basis of the first beginnings of thermodynamics, it is proposed to take into account the work done when the layer is deformed by electric charges. A new element in the theory is the use of a special tensor (orthoprojector) in recording the work done by electric charges. The article derives the defining equations from the laws of thermodynamics. It is shown that the Cauchy stress tensor is the sum of two terms. The first term determines the stresses arising from the interaction of the charges.</div><div>The application of the theory to the modelling of processes during ion plasma treatment of polymeric materials is considered. The purpose of the considered example is the analysis of the hypothesis that the phenomenon of the appearance of the wavy relief of the appeared carbonised layer on the surface of the polymer material can be connected with the stresses arising due to the fact that the charges try to deform the material at the repulsion. A methodology for estimating the stresses arising from the described process is proposed. A calculation is carried out which shows that the hypothesis passes numerical verification. A comparative analysis of the relief characteristics obtained by calculation according to the proposed model and the relief obtained by atomic force microscopy (AFM) of plasma-treated polyurethanes is carried out.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105585"},"PeriodicalIF":4.4,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136049","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":"Prediction on the fatigue behavior of Ti–6Al–4V components treated by split sleeve cold expansion with different final reaming depth","authors":"Zhangchi Dang , Li Yan , Xuedong Gan , Dongyun Ge","doi":"10.1016/j.euromechsol.2025.105578","DOIUrl":"10.1016/j.euromechsol.2025.105578","url":null,"abstract":"<div><div>The fatigue life of fastening holes in metal components is a critical issue in structural design. Many methods have been proposed to enhance the fatigue performance of the components, among which the split sleeve cold expansion method is an effective and widely used one. Previous research has shown that the final reaming process will increase the residual stress level in the components, but this does not always improve the fatigue life. Therefore, this paper presents a comprehensive study of the residual stress distribution in the components treated by the split sleeve cold expansion technique and also estimates the fatigue life of the components using numerical methods with a new mean stress correction model specifically modified for Ti–6Al–4V alloy. The calculation results agreed with the previous experiments well and the changing pattern of fatigue life to the reaming depth is acquired, which shows that a small ratio of reaming benefits the fatigue life by providing extra compressive stress, but the benefit of excessive reaming on residual stress does not bring about further life extension. This phenomenon can be well explained using the proposed four-area model of the cumulative damage in the components. Apart from increasing the residual stress level near the hole edge, the reaming process will cause another area with maximum tensile stress to move inward and bear a higher level of load, which is harmful to the fatigue life. The movement of the fatigue crack initiation area is also in good agreement with the experimental results, which verifies the reliability of the proposed model.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105578"},"PeriodicalIF":4.4,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135995","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":"Guided wave propagation and scattering in pipes with axisymmetric defects under reciprocity considerations","authors":"Ductho Le , Hoai-Nam Tran , Hoang Ngoc Quy , Haidang Phan","doi":"10.1016/j.euromechsol.2025.105584","DOIUrl":"10.1016/j.euromechsol.2025.105584","url":null,"abstract":"<div><div>This paper presents a theoretical framework utilizing the reciprocity theorem to investigate the behavior of guided waves in pipe-like structures. The reciprocity theorem is first employed to derive closed-form solutions of guided waves generated by time-harmonics sources in seamless pipes. The application of this technique is then extended to address the scattering of longitudinal modes by a circumferential defect in pipes. The scattered field results are afterward validated by numerical simulations, demonstrating good quantitative agreement across various defect configurations. Furthermore, we introduce the dispersion curves superimposed by wave magnitude spectra, providing a clear visualization of wave propagation phenomena in pipes. These curves can also be utilized for optimal mode and excitation frequency selection in practical inspection processes. This study makes a significant contribution to the field of nondestructive evaluation by offering a simple and effective approach to analyzing the scattering of guided longitudinal waves in pipes. The results can enhance the accuracy and reliability of defect detection and characterization, leading to more efficient and cost-effective maintenance and repair processes.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105584"},"PeriodicalIF":4.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136063","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}
Hongzhe Niu , Jiaming Lu , Ruixian Qin , Xi Wang , Qijian Li , Tianyi Li , Bingzhi Chen
{"title":"A self-locked chiral honeycomb: In-plane compression behavior and energy absorption","authors":"Hongzhe Niu , Jiaming Lu , Ruixian Qin , Xi Wang , Qijian Li , Tianyi Li , Bingzhi Chen","doi":"10.1016/j.euromechsol.2025.105580","DOIUrl":"10.1016/j.euromechsol.2025.105580","url":null,"abstract":"<div><div>A novel aluminum self-locked nested chiral structure (SLKH) has been introduced to significantly enhance the energy absorption capacity of honeycomb structures. This innovative design leverages the geometrical advantages of chirality, offering a cost-effective and facile manufacturing process. A comprehensive study on the mechanical properties and energy absorption characteristics was conducted by utilizing the LS-DYNA. The multi-parameter design investigation revealed that the proportional coefficient, in conjunction with the relative density, significantly influences the mechanical performance of the SLKH. Comparative analysis with integrated structures underscored the superior energy absorption and buffering capabilities of the SLKH. Furthermore, the study delved into the dynamic impact performance under quasi-static conditions, highlighting the impact of Poisson's ratio on self-locked structures. The findings provide valuable insights for the design and practical application of advanced cellular structures.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105580"},"PeriodicalIF":4.4,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135997","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":"Efficient and robust numerical determination of stress trajectories in 2D and 3D domains","authors":"J.P. Moitinho de Almeida","doi":"10.1016/j.euromechsol.2024.105556","DOIUrl":"10.1016/j.euromechsol.2024.105556","url":null,"abstract":"<div><div>This work presents an efficient and robust computational procedure for the determination of stress trajectories in 2D and 3D domains. This is preceded by a brief review of the historical context of stress trajectories, since their existence was implied by Lamé in 1841, together with other stress visualisation techniques used before the advent of computers. Application examples, obtained from analytical solutions or from finite element stress fields, for 2D, 3D and plate bending elastic problems, illustrate some characteristics of stress trajectories and the choices made in the proposed technique. This procedure, being general in nature, can be used in the visualisation of any real symmetric second order tensor field.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105556"},"PeriodicalIF":4.4,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136000","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":"Multiaxial low-cycle fatigue behavior and life prediction model for Ti-6Al-3Nb-2Zr-1Mo titanium alloy","authors":"Yuhao Guo, Yuze Song, Gang Liu","doi":"10.1016/j.euromechsol.2025.105581","DOIUrl":"10.1016/j.euromechsol.2025.105581","url":null,"abstract":"<div><div>In this paper, a multiaxial low-cycle fatigue damage model is proposed based on the Continuum Damage Mechanics and Modified Wöhler Curve Method. The model identifies the plane with the maximum shear stress amplitude as the critical plane for fatigue damage calculation. The influence of the normal and shear stress components on the multiaxial fatigue strength is directly considered by introducing a variable stress ratio into the traditional fatigue damage model. In the comparison of the prediction results with experimental data, all life data under different loading conditions fall into the scatter band of ±1.5. Stress-controlled multiaxial low-cycle fatigue tests of Ti-6Al-3Nb-2Zr-1Mo were performed. The results indicate that under torsional and combined axial-torsional load conditions, the plane with the maximum shear stress amplitude is not unique, which leads to inconsistencies in the directions of the propagation planes of different crack sources and changes in direction of fatigue crack propagation. The symmetry of the hysteresis curves is related to the final fracture pattern. When shear stress governs fatigue failure, the hysteresis curves near failure are symmetric. In contrast, when normal stress dominates fatigue failure, the hysteresis curves near failure are asymmetric.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105581"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135996","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":"Analytical procedures for the determination of the anisotropy parameters of the non-quadratic orthotropic Yld91 yield function for extruded materials","authors":"Oana Cazacu, Benoit Revil-Baudard","doi":"10.1016/j.euromechsol.2025.105577","DOIUrl":"10.1016/j.euromechsol.2025.105577","url":null,"abstract":"<div><div>For extrusion materials, generating data for various orientations is very challenging, so the parameters involved in anisotropic yield criteria must be estimated using limited data. Except for Hill (1948)model, parametrization of anisotropic models is done numerically, and the quality of the predictions is strongly dependent on the quality of the parametrization. Recently, Cazacu (2018) has demonstrated that the 3-D anisotropic yield criterion Yld91 can be rewritten as a polynomial in terms of the stress components. In this paper we specialize and use the Yld91 criterion and associated flow rule to model the behavior of extruded materials. Specifically, we provide analytical procedures for identification of the Yld91 criterion using only yield stresses or only Lankford coefficients. In either case, the datapoints used as input are the same as those required for Hill (1948)'s identification. First, illustration of the approach is provided for an extruded AA6060 material for which data is available only in a single plane. Next, we consider an extruded AA 7079, for which data is available in all the symmetry planes. For both materials, the influence of data subset used for parameterization on the quality of the predictions and the material response for multiaxial loadings is discussed.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105577"},"PeriodicalIF":4.4,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135999","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":"Axial compression of cylinders assisted by cyclic torsion of sintered powder iron","authors":"Mariusz Rosiak","doi":"10.1016/j.euromechsol.2025.105574","DOIUrl":"10.1016/j.euromechsol.2025.105574","url":null,"abstract":"<div><div>The study presents the results of research on porous compacts subjected to complex loading conditions. The sintered samples were produced under standard powder metallurgy (PM) operating conditions. Plastic deformation of the compacts was carried out under compressive conditions with simultaneous oscillatory torsion. The time-variable parameters during compaction included the torsion angle, torsion angle amplitude, and frequency. The influence of the deformation process conditions on the consolidation of compacts and the evolution of porosity was analyzed. Research was conducted to assess changes in density, porosity, and geometry for various deformation variants. Conditions for the most effective densification of porous compacts under free compression with simultaneous oscillatory torsion were identified. The conducted tests revealed that low-density sinters (ρ<sub>w</sub> = 0.75) achieve highly variable densities after deformation, which strongly depend on the set parameters of the torsion angle amplitude (α) and the torsion frequency (f). It was determined in this case that the material densification was more significantly influenced by the torsion frequency (f) than by the value of the torsion angle amplitude (α). For higher-density sinters (ρ<sub>w</sub> = 0.85), achieving high densification is possible with high oscillatory torsion parameters but with much smaller contributions from compressive deformation. Applying compression levels suitable for sinters with lower initial density, combined with maximum oscillatory torsion parameters, results in a loss of material cohesion and the appearance of cracks.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105574"},"PeriodicalIF":4.4,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143135998","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}