Mechanics Research Communications最新文献

{"title":"A mixed formulation of the plane-stress problem to facilitate reuse of constitutive models in finite-element programs","authors":"","doi":"10.1016/j.mechrescom.2024.104307","DOIUrl":"10.1016/j.mechrescom.2024.104307","url":null,"abstract":"<div><p>The plane-stress assumption can be challenging to support in a finite element program because it traditionally requires separate implementations of constitutive models than those intended for three-dimensional or two-dimensional plane-strain simulations. As a solution to this issue, this paper presents a method to solve the plane-stress problem using a mixed formulation. In this formulation, the out-of-plane strain is treated as a field variable that is solved for in addition to the standard in-plane displacement variables, in a manner that weakly enforces the condition that the out-of-plane stress is zero. The proposed formulation is non-intrusive, requiring no modifications to the constitutive models in contrast to the conventional plane-stress formulation. The proposed mixed formulation has been benchmarked against analytical solutions and numerical solutions, with good performance and accuracy.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141638199","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":"Accurate elastic field in non-homogeneous geo-material halfspace under axisymmetric indentation of circular rigid plate","authors":"Sha Xiao ,&nbsp;Zhongqi Quentin Yue","doi":"10.1016/j.mechrescom.2024.104308","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104308","url":null,"abstract":"<div><p>This paper examines non-homogeneous geo-material halfspaces under the axisymmetric indentation of a circular rigid plate. A multilayered model is proposed to approximate arbitrary variations of the elastic parameters in geo-materials with depth. The non-homogeneous geo-material halfspaces can have variable shear modulus and Poisson's ratio with depth. Numerical verification is performed for the contact problem of a non-homogeneous halfspace with variable shear modulus and constant Poisson's ratio. Results illustrate the effects of material inhomogeneity on the elastic fields of a non-homogeneous halfspace.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141606818","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":"Exact solution for mode shapes of cracked nonuniform axially functionally graded beams","authors":"","doi":"10.1016/j.mechrescom.2024.104306","DOIUrl":"10.1016/j.mechrescom.2024.104306","url":null,"abstract":"<div><p>This paper established the exact formulas for mode shapes of cracked nonuniform axially functionally graded (AFG) beams. The formula of the mode shape of cracked nonuniform AFG beam is derived in the form of a power presented as a recurrent relation. The power series solution of cracked beam is the same with the intact beam where the effect of cracks contributes to only the first four coefficients of the power series. The derivation of the formula of mode shapes is presented in details. Numerical simulations show that these effects on the natural frequency and mode shape are quite significant. The natural frequency and mode shape are more sensitive to cracks located at positions with low elastic modulus, small cross section and high mass density. For the case of tapered AFG cantilever beam, it is important to consider not only cracks located close to the fixed end but also cracks located close to the free end, especially when the free end has lower elastic modulus and higher mass density.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141638198","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":"Numerical algorithms for the phase-field models using discrete cosine transform","authors":"Youngjin Hwang ,&nbsp;Seokjun Ham ,&nbsp;Hyun Geun Lee ,&nbsp;Hyundong Kim ,&nbsp;Junseok Kim","doi":"10.1016/j.mechrescom.2024.104305","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104305","url":null,"abstract":"<div><p>We briefly review of numerical scheme based on the Fourier-spectral approach with discrete cosine transform (DCT) and its implementation. The DCT is a mathematical technique of expressing a set of discrete data as a sum of cosine functions that oscillate at different frequencies. In this study, we apply the DCT to numerically approach phase-field models equipped with homogeneous Neumann boundary conditions. The phase-field model is a powerful mathematical tool used to numerically simulate phase transformations in materials. This model describes many physical phenomena and is especially applicable to various phase transformation problems such as solidification, liquefaction, crystal growth, phase separations, and transitions. One of the most important concepts in the phase-field model is the order parameter. This is a variable that represents the state of the phase and usually has a value between 0 and 1. For example, in a system where solids and liquids coexist, the order parameter is set to 1 in the solid region and 0 in the liquid region. Additionally, the free energy functional calculates the free energy based on the spatial distribution of the order parameter, which is a key factor in determining the phase transformation process of the given system. For instance, phase-field models may include the following equations and properties. The Allen–Cahn equation describes the evolution of phase boundaries, representing the transition between different phases or states in a material system. The Cahn–Hilliard equation serves as a diffuse interface model for describing the spinodal decomposition in binary alloys. The nonlocal CH equation is utilized to simulate the microphase separation occurring within a diblock copolymer composed of distinct monomer types. The Swift–Hohenberg equation captures attention due to its intriguing perspective on pattern formation, owing to its possession of many qualitatively different stable equilibrium solutions. Furthermore, the phase-field crystal equation offers a simple dynamical density functional theory for crystalline solidification. The Fourier-spectral approach with DCT is characterized by both high accuracy and simplicity of implementation. We offer a detailed elucidation of this method along with its association with MATLAB usage, facilitating interested individuals to effortlessly employ the Fourier-spectral approach with DCT in their research. To validate the effectiveness of the numerical methods, we perform various standard numerical experiments on phase-field models. Furthermore, the MATLAB code implementation can be found in the appendix.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542748","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":"Flexoelectric and transverse shear effects on band gaps in periodic microbeams","authors":"Rui Liao ,&nbsp;Yu Cong ,&nbsp;Gongye Zhang ,&nbsp;Shuitao Gu","doi":"10.1016/j.mechrescom.2024.104300","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104300","url":null,"abstract":"<div><p>This paper applies wave equations and boundary conditions to a periodic electro-elastic microbeam, which incorporates transverse shear, microstructure and flexoelectric effects to anticipate the occurrence of band gaps in elastic waves. The new model has been simplified as the flexoelectric model and classical elastic model, as special cases. Meanwhile, compared to Bernoulli-Euler beam model, it is found that transverse shear effect has a significant effect on the band gap predictions of thick beams, but this effect is negligible for slender beams, indicating that this new model can be used to predict band gaps of both thick and slender beams in the high-frequency range. Furthermore, the impacts of microstructure and flexoelectric effects as well as material and microstructural parameters on band gaps are studied. The numerical results show that the influence of flexoelectricity on band gaps is the primary in the submicron beams, while the microstructure effect is the main in the micron beams. Additionally, the band gap frequencies and sizes (bandwidth) are significantly affected by the beam thickness, unit cell length and volume fraction. Thus, these discoveries demonstrate the feasibility of tailoring the band gap frequencies and sizes through the adjustment of material and microstructural parameters.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542845","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":"Analysis of APB in vertical wells with evaporite layers: A 1D axisymmetric multilayer thermomechanical model","authors":"Themisson dos Santos Vasconcelos,&nbsp;Romildo dos Santos Escarpini Filho,&nbsp;Eduardo Nobre Lages","doi":"10.1016/j.mechrescom.2024.104304","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104304","url":null,"abstract":"<div><p>Temperature increases and creep in saline rocks can cause annular pressure buildup (APB), presenting a significant challenge in oil well operations, particularly in deep and ultra-deep pre-salt fields. This paper proposes a one-dimensional axisymmetric multilayer thermomechanical model that accounts for the influence of evaporite layers and thermomechanical effects on APB. We developed a finite element model that integrates heat transfer and thermomechanical interactions, utilizing a double deformation mechanism as a constitutive model to represent the viscous behavior of the rock formation. Additionally, this model enables the iterative calculation of fluid properties based on temperature and pressure conditions. To validate the model, we conducted case studies using widely adopted commercial finite element software. Its consistent results provide a deeper understanding of the pressure increases caused by the influence of saline rock and thermal effects, offering valuable insights into the safe and efficient operation of oil wells using a model with reduced computational complexity.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596414","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":"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}

{"title":"An analytical approach for modelling hypervelocity impact by long rod","authors":"Hyo-Song Kim ,&nbsp;Kumchol Yun ,&nbsp;Yong-Nam Pak ,&nbsp;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 ,&nbsp;Frederic Dias ,&nbsp;Franck Schoefs ,&nbsp;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}