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Non-monotonic dependence of martensitic transformation on crystal orientation of NiTi shape memory alloy
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-28 DOI: 10.1016/j.euromechsol.2025.105593
Aimeng Zhang , Shaobin Zhang , Fa Wu , Chun Li
Crystal orientation is considered a pivotal factor influencing phase transformation of shape memory alloys (SMAs), which has been confirmed by comparing several specific orientations. A comprehensive atomic-scale understanding of the physical mechanisms of the crystal orientation effects could significantly contribute to the development of high-performance SMAs. This study systematically explores the dependence of the transformation behavior of NiTi SMA on the crystal orientation, focusing on preferred martensite variants and their corresponding energy evolutions, utilizing molecular dynamic simulations. The research reveals that crystal orientation plays a crucial role in selecting preferred martensite variants during phase transformation from austenite to martensite phase, and the selection rules can be predicted through a simple theoretical model based on the minimum free energy criterion. This phenomenon leads to a non-monotonic variation in the energy barriers during phase transformation and the mechanical properties, such as transformation stress and energy hysteresis, with the crystal orientation. Furthermore, the study validates the significance of this understanding in developing high-performance bicrystal SMA by constructing crystal grains with different orientations.
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引用次数: 0
Efficient feature extraction for morphologically complex self-assembled porous microstructures using computational homology and unsupervised machine learning
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-27 DOI: 10.1016/j.euromechsol.2025.105589
Farshid Golnary, Mohsen Asghari
Porous microstructures formed during the self-assembly process exhibit complex morphologies that directly influence their material properties. This study proposes an efficient method for microstructural parametrization, specifically designed for these complex structures. The method effectively combines computational homology and unsupervised machine learning techniques to achieve this goal. Computational homology is a technique that analyzes topological spaces by examining "holes" of different dimensions. Therefore, it is particularly effective for the morphological analysis of random and heterogeneous porous microstructures. In this regard, computational homology is used to extract simpler disjoint regions within the microstructure. convolutional autoencoder, k-means clustering, and other quantitative analyses are employed to analyze these regions as grayscale images.
A microstructure may consist of numerous disjoint regions. To efficiently represent these regions in a lower-dimensional space, a convolutional autoencoder is used. K-means clustering is then applied to group the low-dimensional representations of these disjoint regions based on morphological similarity. By clustering the microstructural regions, we can analyze the microstructures more efficiently and interpretably. Each disjoint region belongs to a cluster, and the microstructure is thus represented by low-dimensional features, indicating the percentage of disjoint regions in each cluster. To enhance interpretability, the feature orders are sorted based on their correlation with relative density. The correlation analysis revealed that the proposed microstructural representation features are interpretable, as the majority of features exhibit correlations with material properties such as Young's modulus and Poisson's ratio as well as topological features such as Betti numbers.
The proposed method is computationally efficient due to its low-dimensional representation of the microstructure and is interpretable, with features sorted and organized based on their correlation with relative density. To demonstrate its efficiency, numerical experiments were performed on microstructures created during the spinodal decomposition process. The results show that the method is effective for computational tasks such as material properties prediction and inverse design.
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引用次数: 0
A modification of Holzapfel–Ogden hyperelastic model of myocardium better describing its passive mechanical behavior
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-27 DOI: 10.1016/j.euromechsol.2025.105586
Jiří Vaverka, Jiří Burša
The passive mechanical behavior of the myocardium is usually mathematically described within the framework of hyperelasticity. One of the most popular models of this kind is that proposed by Holzapfel and Ogden in 2009. It is an orthotropic model formulated in terms of a reasonably selected set of scalar invariants representing different components of the myocardium. Several modifications of the model have emerged over the years. In this paper, we present another one which is characterized by an innovative approach to the modeling of myocardial “sheets”, i.e. lamellar collagenous structures that endow the myocardium with orthotropic mechanical properties. We describe their contribution by means of a less common scalar invariant which expresses the change of area of an oriented planar element (representing the plane of a sheet). To compare our formulation with the original model, we matched both of them to the biaxial tension and simple shear experimental data from the literature using a nonlinear least-squares optimization algorithm. The objective function for each model included both biaxial and simple shear data in order to obtain a single set of parameters for both deformation modes. The results show that our modified model can accurately describe both types of tests. The total residual is lowered by approximately 80% by our modification and R2 increases from 0.877 to 0.978 which demonstrates the significance of our modification on the quality of the fit.
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引用次数: 0
Free vibration properties of novel sandwich plates with a layered and rotational core
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-25 DOI: 10.1016/j.euromechsol.2025.105588
Youlong Wang , Yuxiang Cai , Kamal Hosen , Junwei Pan
The layered sandwich plate structure is widely used in various fields due to its lightweight and high-strength characteristics. To further enhance the functionality of these structures and expand their application areas, this study investigates the impact of an innovative method for adjusting the interlayer angle. This study adopts experimental analysis and numerical simulation methods, taking honeycomb core and grid core as examples, to explore the influence of interlayer angle on the first 9 natural frequencies and vibration modes of bilayer and tri-layer circular sandwich plates, and explain the mechanism of the influence of interlayer angle on the structural natural frequency through theoretical analysis. The results indicate that 1) at different angles, the natural frequencies of the same order vibration modes exhibit significant differences. For instance, in the case of the grid core, the minimum change rate of the natural frequency can exceed 10%, and the maximum can reach 16.68%; 2) compared to the unadjusted layered plates, which exhibit localized deformation in higher-order vibration modes, the stiffness distribution becomes more uniform after rotation, transforming the vibration modes into overall continuous deformations; 3) the proposed method allows for considerable changes in natural frequencies of various orders while maintaining stable structural mechanical properties without adding weight. This effectively avoids resonance with the working environment and promotes uniform stiffness distribution, making the structure suitable for use in more demanding stable environments.
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引用次数: 0
A thermodynamically consistent wear modeling approach based on damage accumulation
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-22 DOI: 10.1016/j.euromechsol.2025.105583
Quentin Caradec , Matthieu Breuzé , Claude Stolz , Habibou Maitournam
Due to the diversity of mechanisms involved, wear is very complex to model. Wear models are mostly empirical, and they sometimes fail to accurately predict wear evolution. In this paper, a damage-based wear modeling approach is developed in the framework of continuum thermodynamics. The model is physically consistent and aims at accounting for the progressive accumulation of near-surface degradation leading to material detachment. A thermodynamic driving force associated with wear is derived under the form of an energy release rate. Wear evolution is then driven by the accumulation of near-surface damage, and wear occurs when the surface damage value reaches a threshold. The damage evolution problem is treated using the thick level set approach, providing a non-local formulation for damage evolution. Numerical simulations are conducted on a fretting test case using the finite element method, and the results compared to those obtained with a classical friction energy wear law.
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引用次数: 0
Plane strain problems for flexoelectric semiconductors
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-22 DOI: 10.1016/j.euromechsol.2025.105573
Jinchen Xie , Xiaowen He
The flexoelectric effect, which is induced by strain gradients, is a pervasive phenomenon in dielectric and semiconductor materials. Flexoelectric semiconductors have considerable potential for application in the field of micro- and nanoelectronics, although their theoretical research is still in its infancy. In particular, there is a paucity of research on the exact solutions of the multiphysics field coupling problems for flexoelectric semiconductors. In light of these considerations, this paper presents the first comprehensive and rigorous investigation into the plane strain issues pertaining to flexoelectric semiconductors. The coupled governing equations for flexoelectric semiconductors under plane strain conditions are reformulated for decoupling purposes. On this basis, we derive the exact solutions to a series of plane-strain problems for flexoelectric semiconductors, including bending of beams, deformation of pressurized cylinders, cylindrical cavities, cylindrical inhomogeneities, and cylindrical inclusion problems with eigenstrain. By employing these exact solutions, we investigate the size effect of multiphysics field coupling in flexoelectric semiconductors and the influence of the initial doping concentration. Furthermore, we employ a mixed finite element method for numerical simulations of flexoelectric semiconductors. The high degree of agreement between the finite element solutions and the analytical exact solutions validates the utility of the exact solutions derived in this study as benchmark solutions for related numerical methods. This study offers insights and guidance for the design of flexoelectric semiconductor devices and provides a deeper understanding of the multiphysics field coupling behavior of flexoelectric semiconductors containing defects.
{"title":"Plane strain problems for flexoelectric semiconductors","authors":"Jinchen Xie ,&nbsp;Xiaowen He","doi":"10.1016/j.euromechsol.2025.105573","DOIUrl":"10.1016/j.euromechsol.2025.105573","url":null,"abstract":"<div><div>The flexoelectric effect, which is induced by strain gradients, is a pervasive phenomenon in dielectric and semiconductor materials. Flexoelectric semiconductors have considerable potential for application in the field of micro- and nanoelectronics, although their theoretical research is still in its infancy. In particular, there is a paucity of research on the exact solutions of the multiphysics field coupling problems for flexoelectric semiconductors. In light of these considerations, this paper presents the first comprehensive and rigorous investigation into the plane strain issues pertaining to flexoelectric semiconductors. The coupled governing equations for flexoelectric semiconductors under plane strain conditions are reformulated for decoupling purposes. On this basis, we derive the exact solutions to a series of plane-strain problems for flexoelectric semiconductors, including bending of beams, deformation of pressurized cylinders, cylindrical cavities, cylindrical inhomogeneities, and cylindrical inclusion problems with eigenstrain. By employing these exact solutions, we investigate the size effect of multiphysics field coupling in flexoelectric semiconductors and the influence of the initial doping concentration. Furthermore, we employ a mixed finite element method for numerical simulations of flexoelectric semiconductors. The high degree of agreement between the finite element solutions and the analytical exact solutions validates the utility of the exact solutions derived in this study as benchmark solutions for related numerical methods. This study offers insights and guidance for the design of flexoelectric semiconductor devices and provides a deeper understanding of the multiphysics field coupling behavior of flexoelectric semiconductors containing defects.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105573"},"PeriodicalIF":4.4,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136048","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}
引用次数: 0
Kriging-based uncertainty optimization of vibration characteristics for laminated elliptical shells considering material and load uncertainties
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-22 DOI: 10.1016/j.euromechsol.2025.105587
Tianchen Huang , Qingshan Wang , Liming Chen , Rui Zhong
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.
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引用次数: 0
Efficient time-stepping for the evolution equations of damage-induced growth and remodelling in soft biological tissues
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-21 DOI: 10.1016/j.euromechsol.2025.105582
Igor Tagiltsev, Peter Wriggers
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.
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引用次数: 0
Stability loss of a thin subsurface layer as a result of stresses caused by the distributed electric charge
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-20 DOI: 10.1016/j.euromechsol.2025.105585
Anton Y. Beliaev, Roman I. Izyumov, Alexander L. Svistkov
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.
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.
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引用次数: 0
Prediction on the fatigue behavior of Ti–6Al–4V components treated by split sleeve cold expansion with different final reaming depth
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2025-01-18 DOI: 10.1016/j.euromechsol.2025.105578
Zhangchi Dang , Li Yan , Xuedong Gan , Dongyun Ge
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.
{"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 ,&nbsp;Li Yan ,&nbsp;Xuedong Gan ,&nbsp;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}
引用次数: 0
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European Journal of Mechanics A-Solids
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