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Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001] 用于对称保全同质化和各向同性超材料的周期斜面单元"[Mech. Res. Commun.
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-06-01 DOI: 10.1016/j.mechrescom.2024.104268
Giulio G. Giusteri , Raimondo Penta
{"title":"Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001]","authors":"Giulio G. Giusteri ,&nbsp;Raimondo Penta","doi":"10.1016/j.mechrescom.2024.104268","DOIUrl":"10.1016/j.mechrescom.2024.104268","url":null,"abstract":"<div><p>We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000284/pdfft?md5=1d854d220bc46d1f764b5e034b3a36c9&pid=1-s2.0-S0093641324000284-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140182362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Identification of the constitutive parameters of strain gradient elasticity using guided wave propagation in architectured materials 利用建筑材料中的导波传播识别应变梯度弹性的构成参数
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-05-21 DOI: 10.1016/j.mechrescom.2024.104292
Giuseppe Rosi , Nicolas Bochud , Vu-Hieu Nguyen , Nicolas Auffray
{"title":"Identification of the constitutive parameters of strain gradient elasticity using guided wave propagation in architectured materials","authors":"Giuseppe Rosi ,&nbsp;Nicolas Bochud ,&nbsp;Vu-Hieu Nguyen ,&nbsp;Nicolas Auffray","doi":"10.1016/j.mechrescom.2024.104292","DOIUrl":"10.1016/j.mechrescom.2024.104292","url":null,"abstract":"<div><p>In this work we introduce an identification procedure for the numerical assessment of the constitutive parameters of strain gradient elasticity (SGE) for architectured materials. The key idea is to measure the dispersion diagram of guided waves propagating in an architectured plate and then, by solving an inverse problem, to retrieve the constitutive parameters of the homogeneous equivalent material by fitting the response of the SGE model. In the present contribution this procedure is tested in the case study of a hexagonal honeycomb lattice. The strength of such approach, which is investigated here from a numerical viewpoint only, is that it could also be readily applied in an experimental setting.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141141368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Operator learning for homogenizing hyperelastic materials, without PDE data 在没有 PDE 数据的情况下，对超弹性材料进行均质化的算子学习
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-05-06 DOI: 10.1016/j.mechrescom.2024.104281
Hao Zhang, Johann Guilleminot
{"title":"Operator learning for homogenizing hyperelastic materials, without PDE data","authors":"Hao Zhang,&nbsp;Johann Guilleminot","doi":"10.1016/j.mechrescom.2024.104281","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104281","url":null,"abstract":"<div><p>In this work, we address operator learning for stochastic homogenization in nonlinear elasticity. A Fourier neural operator is employed to learn the map between the input field describing the material at fine scale and the deformation map. We propose a variationally-consistent loss function that does not involve solution field data. The methodology is tested on materials described either by piecewise constant fields at microscale, or by random fields at mesoscale. High prediction accuracy is obtained for both the solution field and the homogenized response. We show, in particular, that the accuracy achieved with the proposed strategy is comparable to that obtained with the conventional data-driven training method.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140905597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On the hyperbolicity of the governing equations for the linearization of a class of implicit constitutive relations 论一类隐式构成关系线性化控制方程的双曲性
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-05-01 DOI: 10.1016/j.mechrescom.2024.104291
D. Sfyris , R. Bustamante , K.R. Rajagopal
{"title":"On the hyperbolicity of the governing equations for the linearization of a class of implicit constitutive relations","authors":"D. Sfyris ,&nbsp;R. Bustamante ,&nbsp;K.R. Rajagopal","doi":"10.1016/j.mechrescom.2024.104291","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104291","url":null,"abstract":"<div><p>For a relatively new class of linearization of implicit constitutive relations, wherein the linearized strain tensor is assumed to be a function of the Cauchy stress tensor, we write the balance of linear momentum and the time differentiated constitutive relation as a first order system, and we examine conditions for the hyperbolicity of such a system; this procedure is carried out for one and three dimensions. For the one dimensional case we use the characteristic polynomial and find conditions so that our system is hyperbolic. For three dimensions we find conditions so that our system can be put in a symmetric hyperbolic form.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140880117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Assessing measurement uncertainties on high-speed DCB testing of composites 评估复合材料高速 DCB 测试的测量不确定性
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-29 DOI: 10.1016/j.mechrescom.2024.104276
Thomas Fourest, Gérald Portemont
{"title":"Assessing measurement uncertainties on high-speed DCB testing of composites","authors":"Thomas Fourest,&nbsp;Gérald Portemont","doi":"10.1016/j.mechrescom.2024.104276","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104276","url":null,"abstract":"<div><p>This study investigates dynamic behavior in Double Cantilever Beam (DCB) tests across loading rates from 6 mm/min to 3 m/s. Comprehensive instrumentation has been used to investigate the sources of measurement errors (load, opening and crack length) or biases (asymmetry) and to quantify their effects on the fracture toughness determination using three variations of the Corrected Beam Theory. In particular, challenges in establishing zero load and displacement references were revealed through monitoring initial test phases. The resulting uncertainties in the fracture toughness have been estimated to be between 7 and 15%. Arms asymmetry during higher loading rates (1 m/s and 3 m/s) has been recorded using Digital Images Correlation. Using this data and a simple beam model, mode mixity (<span><math><mrow><msub><mrow><mi>G</mi></mrow><mrow><mi>I</mi><mi>I</mi></mrow></msub><mo>/</mo><msub><mrow><mi>G</mi></mrow><mrow><mi>I</mi></mrow></msub></mrow></math></span> from Williams approach) computed is in the order of 10%–20%.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140843763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 compressive stress on wave Love waves propagation in a piezoelectric semiconductor ZnO/Diamond: A screening effect 压应力对压电半导体氧化锌/金刚石中爱波传播的影响：屏蔽效应
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-26 DOI: 10.1016/j.mechrescom.2024.104278
Issam Ben Salah , Cherif Othmani , Anouar Njeh
{"title":"Effects of compressive stress on wave Love waves propagation in a piezoelectric semiconductor ZnO/Diamond: A screening effect","authors":"Issam Ben Salah ,&nbsp;Cherif Othmani ,&nbsp;Anouar Njeh","doi":"10.1016/j.mechrescom.2024.104278","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104278","url":null,"abstract":"<div><p>The issue of applied stress in hetero-structures is a persistent problem in materials science and technology. Significant efforts have been made from both numerical and experimental points of view to gain a better understanding of how to address this issue in various engineering industrial applications. In this paper, we numerically calculate the effects of compressive stress on Love waves propagation in a pre-stressed piezoelectric semiconductor ZnO/Diamond. The <em>p</em>-type semiconductor is explicitly taken into account, where the concentrations of holes and electrons are <em>p</em><sub>0</sub> = 1 × 10<sup>24</sup><em>m</em><sup>−3</sup>and <em>n</em><sub>0</sub> = 1 × 10<sup>23</sup><em>m</em><sup>−3</sup>, respectively. Numerical results show that the phase velocities of Love waves decrease with uniaxial stress equal to -100 MPa. In addition, this uniaxial compressive stress contributes to a decrease in the magnitude of the electric potential and the concentrations of holes and electrons. In the meantime, the “Screening effect” remains similar for both the unstressed and the pre-stressed structures.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000387/pdfft?md5=2e481518c26906c2c29c4d4207c8e2a3&pid=1-s2.0-S0093641324000387-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140815856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Non-locality as a regularization mechanism in elastodynamics 作为弹性动力学正则化机制的非位置性
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-24 DOI: 10.1016/j.mechrescom.2024.104280
J.R. Fernández , R. Quintanilla
{"title":"Non-locality as a regularization mechanism in elastodynamics","authors":"J.R. Fernández ,&nbsp;R. Quintanilla","doi":"10.1016/j.mechrescom.2024.104280","DOIUrl":"10.1016/j.mechrescom.2024.104280","url":null,"abstract":"<div><p>It is well known that the solutions to the elastodynamic problem do not satisfy continuous dependence properties on the initial values, and/or supply terms, when the elastic tensor fails to be positive. In fact, the behavior of the solutions can be very explosive since the elements of the spectrum can go to infinite. Therefore, it is very relevant to identify thermomechanical mechanisms regularizing the behavior of the solutions. So, the main aim of this note is to show, from an analytical point of view, how the <em>non-locality</em>, in the sense of Eringen, is a mechanism satisfying this property of regularization of the solutions. It is worth noting that such system has not been previously studied from an analytical point of view. We firstly obtain the existence of the solutions to this problem, even when we do not assume any positivity on the elastic tensor. This result is proved with the help of the linear semigroups theory; however, even with these regularizing effects, the solutions to this problem are unstable. A particular easy one-dimensional problem is also considered. The extension of the existence and instability results to the thermoelastic case is pointed out later. Finally, we also study the spatial behavior of the solutions to the problem in the case that the region is a semi-infinite cylinder, and we obtain a Phragmen–Lindelöf alternative of the exponential type. This result is also relevant because a similar result, without considering regularizing terms, is unknown if the elastic tensor is not positive definite.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000405/pdfft?md5=994a15812920cf093c2e25e6b0fb04b0&pid=1-s2.0-S0093641324000405-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140758618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Vibration transmission characteristics of the pyramidal cylinder lattice truss structure 金字塔圆柱体格构桁架结构的振动传递特性
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-22 DOI: 10.1016/j.mechrescom.2024.104279
Xin Xue , Zeyu Li , Fang Wu , Yuhan Wei , Yichuan Shao , Mangong Zhang , Juan Liao
{"title":"Vibration transmission characteristics of the pyramidal cylinder lattice truss structure","authors":"Xin Xue ,&nbsp;Zeyu Li ,&nbsp;Fang Wu ,&nbsp;Yuhan Wei ,&nbsp;Yichuan Shao ,&nbsp;Mangong Zhang ,&nbsp;Juan Liao","doi":"10.1016/j.mechrescom.2024.104279","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104279","url":null,"abstract":"<div><p>In this work, an innovative cylindrical metamaterial inspired by origami was developed. It featured arrays of pyramid units arranged both circumferentially and axially. The vibration transfer characteristics were determined using numerical method (Frequency Domain Frequency Response Solver of COMSOL) and dynamic testing (Scanning Vibrometer System). The results indicate that the structure effectively attenuates vibrations within the 0–6000 Hz range. Adjusting key geometric parameters can widen or shift vibration attenuation bands toward low–frequencies. Increasing the rod diameter weakens the vibration attenuation capability, while an increase in circumferential and axial angles has a positive impact on the frequency band for vibration attenuation. The significance of this work lies in providing an appropriate method to enhance vibration attenuation for the design and optimization of engineering structures.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140643865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Discrete modeling of elastic heterogeneous media 弹性异质介质的离散建模
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-19 DOI: 10.1016/j.mechrescom.2024.104277
Q. Zhang , J. Eliáš , K. Nagai , J.E. Bolander
{"title":"Discrete modeling of elastic heterogeneous media","authors":"Q. Zhang ,&nbsp;J. Eliáš ,&nbsp;K. Nagai ,&nbsp;J.E. Bolander","doi":"10.1016/j.mechrescom.2024.104277","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104277","url":null,"abstract":"<div><p>Discrete models provide advantages in simulating fracture in quasi-brittle materials due, in part, to their simplicity in representing cracking and other forms of displacement discontinuity. However, the stress analyses that form the basis for fracture simulation are complicated by difficulties in modeling the Poisson effect and other aspects of elastic behavior. The capabilities of Voronoi-cell lattice models, which are a form of particle-based lattice model, for elastic stress analysis are evaluated. It is found that the conventional means for representing the Poisson effect in particle-based lattice models result in spatially correlated stress oscillations that, at first glance, mimic the effects of material heterogeneity. The correlation length is dependent on discretization size. Alternatively, material heterogeneity can be introduced into elastically uniform lattice models via random assignments of material properties, independent of mesh size and geometry.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140622177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation 在自适应统一分区中使用周动态丰富有限元的多尺度断裂模型：实验验证
IF 2.4 4区 工程技术
Mechanics Research Communications Pub Date : 2024-04-15 DOI: 10.1016/j.mechrescom.2024.104275
Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer
{"title":"A multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation","authors":"Matthias Birner ,&nbsp;Patrick Diehl ,&nbsp;Robert Lipton ,&nbsp;Marc Alexander Schweitzer","doi":"10.1016/j.mechrescom.2024.104275","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104275","url":null,"abstract":"<div><p>Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Here, we apply Peridynamic (PD) enrichment to propagate cracks in the PUM global–local enrichment scheme. We apply linear elasticity globally and PD over local zones where fractures occur. The elastic fields provide appropriate boundary data for local PD simulations on a subdomain containing the crack tip to grow the crack. Once the updated crack path is found the elastic field in the body and surrounding the crack is updated using the PUM basis with an elastic field enrichment near the crack. The subdomain for the PD simulation is chosen to include the current crack tip as well as features that influence crack growth. This paper is part II of this series and validates the combined PD/PUM simulator against the experimental results. The results of numerical simulation show that we attain good agreement between experiment and simulation with a local PD subdomain that is moving with the crack tip and adaptively chosen size.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140605772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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