{"title":"A numerical study to discriminate between the hydrostatic and deviatoric strain energies impact on cells activity during bone remodelling","authors":"R. Allena","doi":"10.1016/j.mechrescom.2024.104303","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104303","url":null,"abstract":"<div><p>Bone remodelling is regulated by specific cellular activities. In particular, the osteocytes are able to transform a mechanical signal into a chemical one and transmit it to the osteoclasts and osteoblasts cells. Additionally, osteocytes are more sensitive to fluid shear than pressure stress. Thus, the mechanical environment, especially the type of external loads applied to the bone structure, may highly influence its evolution over time. In this paper we propose a strain energy based model in which we distinguish between the deviatoric and hydrostatic energy contributions. We study here simple loads and geometries for which the strain energy distribution is homogeneous. From these two cases, we are able to show that when considering more complex structures such as the bone microstructure where the energy distribution is heterogeneous, it is necessary to discriminate between the deviatoric and hydrostatic energy parts.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542747","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}
{"title":"Nonlinear wave localization in an acoustic metamaterial with attached masses through one element of main chain","authors":"A.V. Porubov","doi":"10.1016/j.mechrescom.2024.104301","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104301","url":null,"abstract":"<div><p>The nonlinear strain solitary waves in a metamaterial mass-in-mass lattice model with a di-atomic symmetry is studied when attached masses tare located through one element of main chain are studied in the continuum limit. The reasonable variables are introduced to account for strains. An asymptotic procedure is developed to reduce coupled continuum equations to a single equation for longitudinal strains. A correspondence with the classic model with a di-atomic symmetry is established. An improvement of the model is suggested to account for a switch-on/off of the parts of the metamaterial model arising due to the studied kind of symmetry. It allows us to change the behavior of the localized nonlinear strain waves. This improvement is important for description of a durability of the metamaterial. Also it helps to understand new heat processes, like thermal diode, in complex symmetric lattices.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141481605","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}
Hyo-Song Kim , Kumchol Yun , Yong-Nam Pak , Chang-Hyon Choe
{"title":"An analytical approach for modelling hypervelocity impact by long rod","authors":"Hyo-Song Kim , Kumchol Yun , Yong-Nam Pak , Chang-Hyon Choe","doi":"10.1016/j.mechrescom.2024.104302","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104302","url":null,"abstract":"<div><p>Hydrodynamic theory of hypervelocity penetration is widely used to describe the penetration of long rods because of its simplicity and computational efficiency. In this paper, the penetration resistance is evaluated from the crater size generated by hypervelocity impact and is combined with one-dimensional analytical model to predict DOP (depth of penetration). Then, a computational formulation for change of energy per unit DOP is derived and the influences of different parameters on DOP are analysed. At last, in the multi-layer target, the effect of the layer arrangement is considered from the energetic point of view. The method for determining the effective arrangement of material layers with maximum energy variation is proposed. The validity of our approach is confirmed by comparing our analytical results with the AUTODYN results and literature.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542891","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}
{"title":"An ecologically aware modification of the Morison’s equation for long term marine growth effects","authors":"Cian Warby , Frederic Dias , Franck Schoefs , Vikram Pakrashi","doi":"10.1016/j.mechrescom.2024.104293","DOIUrl":"10.1016/j.mechrescom.2024.104293","url":null,"abstract":"<div><p>The Morison’s equation continues to be an important approximation of the load effect of waves on structures. However, such forces can evolve with time due to marine growth and the evolution of long term growth within the Morison equation is challenging. Incorporation of long term marine growth gives rise to two timescales associated with the Morison equation. A short time scale is associated with the period of a wave, while a long time scale is associated with the change in geometry of the structure due to marine growth. This paper proposes a new modification of the Morison’s equation where these multiple time scales of change are addressed. The proposed method allows for a better understanding of how the force predicted by the Morison equation changes over time. The approach allows considering marine growth as an integral part of the Morison equation, expanding the capability to handle a significantly wider range of conditions related to lifetime performance of marine infrastructure, like wind turbines. The proposed approach is compatible with ecological processes and consequently the sampling of randomness over time is physically and biologically viable. The proposed approach allows incorporation of changes in the geometry of these structures through simple biological sampling and subsequently provides a way of updating Morison’s equation to provide more accurate force estimates. This ecologically compatible geometry allows for forces estimates closer to reality, departing from the existing and simplistic smooth and rough regimes which are typically used as binary parameters.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000533/pdfft?md5=d59a1a3d7d4c156029693552ec303f33&pid=1-s2.0-S0093641324000533-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141280775","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}
{"title":"Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001]","authors":"Giulio G. Giusteri , 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}
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 , Nicolas Bochud , Vu-Hieu Nguyen , 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}
{"title":"Operator learning for homogenizing hyperelastic materials, without PDE data","authors":"Hao Zhang, 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}
{"title":"On the hyperbolicity of the governing equations for the linearization of a class of implicit constitutive relations","authors":"D. Sfyris , R. Bustamante , 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}
{"title":"Assessing measurement uncertainties on high-speed DCB testing of composites","authors":"Thomas Fourest, 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}
{"title":"Effects of compressive stress on wave Love waves propagation in a piezoelectric semiconductor ZnO/Diamond: A screening effect","authors":"Issam Ben Salah , Cherif Othmani , 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}