Continuum Mechanics and Thermodynamics最新文献

{"title":"Boundary excitation of localized oscillatory waves in a metamaterial","authors":"A. V. Porubov,&nbsp;N. M. Bessonov,&nbsp;O. S. Loboda,&nbsp;Y. Asaturova","doi":"10.1007/s00161-024-01349-6","DOIUrl":"10.1007/s00161-024-01349-6","url":null,"abstract":"<div><p>Harmonic boundary excitation of localized oscillatory waves in a mass-in-mass metamaterial is studied. It is shown that switch-on/off of the boundary excitation gives rise to a formation of a sequence of such waves, which propagate keeping its form and velocity. The wave formation is achieved only outside the band gap interval of the excitation frequencies. The boundary reflection of the localized oscillatory waves is observed and analysed.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142758011","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 multi-scale analysis to predict elastic response in different weight fractions of carbon fiber powder","authors":"Fatih Huzeyfe Öztürk","doi":"10.1007/s00161-024-01344-x","DOIUrl":"10.1007/s00161-024-01344-x","url":null,"abstract":"<div><p>In this study, the effect of varying weight percentages of carbon fiber powder (CFP) (10 wt.%, 20 wt.% and 30 wt.%) on the mechanical properties of polycarbonate (PC) components produced by plastic injection molding was investigated using analytical, numerical and experimental methods. This research is a novel study in terms of comparing experimental data with microscopic features and full-scale analysis. The micro-scale study was carried out using the Halpin-Tsai (HT) and Generalized Modified Halpin Tsai (G-HT) models as well as the representative volume element (RVE). Findings from RVE were then transferred to the finite element analysis (FEA) module for full-scale comprehensive analysis. A comparison of the experimental tensile test results demonstrated an increase of 56.90% and 191.47% in the tensile strength and Young’s modulus of the composite containing 30 wt. % CFP compared to pure PC, respectively. The minimum and maximum differences between Young’s modulus and the experimental Young’s modulus were determined to be 0.39% and 7.92% using RVE and G-HT, respectively. The maximum and minimum value of the difference between experimental and FEA strengths were determined as 3.44% and 1.91%, respectively. Young’s modulus of the composite with increasing fiber weight ratio was successfully predicted by RVE, G-HT and FEA.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142752982","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 bone remodeling model involving two mechanical stimuli originated from shear and normal load conditions within the 3D continuum mechanics framework","authors":"Natalia Branecka,&nbsp;Matin Shanehsazzadeh,&nbsp;M. Erden Yildizdag,&nbsp;Ivan Giorgio","doi":"10.1007/s00161-024-01347-8","DOIUrl":"10.1007/s00161-024-01347-8","url":null,"abstract":"<div><p>We propose a three-dimensional macroscopic continuum model designed to predict the remodeling phenomenon of bone tissue. In the proposed model, we focus on the evolution of two crucial stiffness parameters: the bulk and shear moduli. These parameters independently adapt to the mechanical demands to which bone tissue is subjected, mainly to withstand hydrostatic and deviatoric deformations. These mechanical stimulations influence the activity of bone cells, leading to changes in bone structure and strength and, in turn, the above-mentioned moduli. The formulation is simplified, serving as an initial step towards a more comprehensive modeling approach. The evolution of these stiffness parameters is proposed based on an energetic argument to describe the functional adaptation process. Numerical experiments, conducted on a cylindrical specimen resembling a femur, demonstrate the feasibility of modeling the bone remodeling process with distinct evolutions for multiple material parameters, in contrast to the conventional approach that permits only one-parameter evolution.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142713266","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":"Study of two-dimensional nonlinear coupled time-space fractional order reaction advection diffusion equations using shifted Legendre-Gauss-Lobatto collocation method","authors":"Anjuman,&nbsp;Manish Chopra,&nbsp;Subir Das,&nbsp;Holm Altenbach","doi":"10.1007/s00161-024-01338-9","DOIUrl":"10.1007/s00161-024-01338-9","url":null,"abstract":"<div><p>In this article, the nonlinear coupled two-dimensional space-time fractional order reaction-advection–diffusion equations (2D-STFRADEs) with initial and boundary conditions is solved by using Shifted Legendre-Gauss-Lobatto Collocation method (SLGLCM) with fractional derivative defined in Caputo sense. The SLGLC scheme is used to discretize the coupled nonlinear 2D-STFRADEs into the shifted Legendre polynomial roots to convert it to a system of algebraic equations. The efficiency and efficacy of the scheme are confirmed through error analysis while applying the scheme on two existing problems having exact solutions. The impact of advection and reaction terms on the solution profiles for various space and time fractional order derivatives are shown graphically for different particular cases. A drive has been made to study the convergence of the proposed scheme, which has been applied on the proposed mathematical model.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01338-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142690696","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":"Towards the Galerkin approximation of tetraskelion metamaterials","authors":"Ryan McAvoy,&nbsp;Emilio Barchiesi","doi":"10.1007/s00161-024-01334-z","DOIUrl":"10.1007/s00161-024-01334-z","url":null,"abstract":"<div><p>The connection of two orthogonal families of parallel equispaced duoskelion beams results in a 2D microstructure characterizing so-called tetraskelion metamaterials. In this paper, based on the homogenization results already obtained for duoskelion beams, we retrieve the internally-constrained two-dimensional nonlinear Cosserat continuum describing the in-plane mechanical behaviour of tetraskelion metamaterials when rigid connection is considered among the two families of duoskelion beams. Contrarily to duoskelion beams, due to the dependence of the deformation energy upon partial derivatives of kinematic quantities along both space directions, the limit model of tetraskelion metamaterials cannot be reduced to an initial value problem describing the motion of an unconstrained particle subjected to a potential. This calls for the development of a finite element formulation taking into account the internal constraint. In this contribution, after introducing the continuum describing tetraskelion metamaterials in terms of its deformation energy, we exploit the Virtual Work Principle to get governing equations in weak form. These equations are then localised to get the equilibrium equations and the associated natural boundary conditions. The feasibility of a Galerkin approach to the approximation of tretraskelion metamaterials is tested on duoskelion beams by defining two different equivalent weak formulations that are discretised and then solved by a Newton–Rhapson scheme for clamped-clamped pulling/pushing tests. It is concluded that, given the high nonlinearity of the problem, the choice of the initial guess is crucial to get a solution and, particularly, a desired one among the several bifurcated ones.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142690697","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 model for debonding of composite cantilever beams under point loads","authors":"Marcin Białas,&nbsp;Giuliano Aretusi","doi":"10.1007/s00161-024-01332-1","DOIUrl":"10.1007/s00161-024-01332-1","url":null,"abstract":"<div><p>The paper presents an analytical model to study the shear driven debonding of a composite cantilever beam subjected to a point load. The composite structure consists of two elastic beams connected by an interface layer, and the model uses cohesive zone models to simulate the degradation process at the joint. These cohesive zone models are characterized by non-continuous and linear softening in the relationship between shear stress and relative tangential displacement. The results are expressed using non-dimensional parameters, and the model yields quasi-static equilibrium paths that demonstrate snap-back responses in both force and displacement values. The significance of the research lies in its application to structural engineering, where composite materials are extensively used. The study emphasizes the critical role of the interface layer strength in maintaining the structural integrity of composites. The proposed model advances the understanding of debonding by introducing a constitutive relation for the interface that accounts for the step-wise change in mechanical properties. The governing equations for the cantilever beam are derived, considering the equilibrium of forces and moments, and the relative tangential displacement at the interface. The model delineates three stages of interface degradation: no relative slip, plastic deformation, and progressive debonding. The analytical solutions for each stage provide insights into the beam deflection, shear stress, and axial force distribution. This research contributes to the field by offering a more refined analytical approach to study debonding in composite beams, which is essential for improving the design and analysis of composite structures.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679200","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":"Predictive models for bone remodeling during orthodontic tooth movement: a scoping review on the “biological metamaterial” periodontal ligament interface","authors":"Michele Tepedino,&nbsp;Francesco D’Annibale,&nbsp;Ivan Giorgio,&nbsp;Ewa Bednarczyk,&nbsp;Daniel George","doi":"10.1007/s00161-024-01336-x","DOIUrl":"10.1007/s00161-024-01336-x","url":null,"abstract":"<div><p>Orthodontic tooth movement is the fundamental phenomenon underlying the treatment of dental malocclusions. For orthodontic treatment to be efficient and effective, the amount of force applied to the teeth for every kind of movement should be appropriately dosed, because it is associated with the risk of side effects and the treatment time. However, our knowledge of the complex cascade of events that transforms a mechanical stimulus into an ordinated bone remodeling is incomplete. Predictive theoretical numerical models could be of invaluable help in understanding the bone response to orthodontic loading and in studying the effects of complex orthodontic force systems. However, either short-term or evolutive predictive models showed a large heterogeneity of material properties and governing equations. The present review provides an outline of the physical and biochemical basis of orthodontic tooth movement with a focus around the periodontal ligament interface. The use of a standardized method for designing predictive models is advocated, and perspectives for future studies are presented.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142642571","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 enhanced beam model incorporating a hysteresis-based solid friction damping mechanism for cementitious materials","authors":"Larry Murcia Terranova,&nbsp;Christian Cardillo,&nbsp;Giuliano Aretusi","doi":"10.1007/s00161-024-01335-y","DOIUrl":"10.1007/s00161-024-01335-y","url":null,"abstract":"<div><p>In this work, we investigate a dynamic internal dissipation mechanism in the context of cement-based materials by introducing a 1D-enhanced micromorphic beam model with a dynamic internal friction term. Here, we consider an inherent feature in concrete-like materials arising from the multi-scale structure, namely, microcracks. Thus, we assume that the internal dissipation of the energy depends on the overall relative sliding displacement of the opposite faces in the microcracks under the effects of an applied cyclic load whenever no significant phenomena related to damage occur at the macroscopic level. The dynamic friction term is based on a well-known model for dry friction in solids due to P. R. Dahl, where the friction force depends only on the sliding displacement and evolves in time, reproducing an elastoplastic behavior. The model proposed in this paper takes into account a mechanical energy interchange between both bending and shear distortion in the beam with the sliding occurring at the microcracks, a storage of mechanical energy because of the asperities inside the faces of the microcracks, and the dissipation of the energy that follows from the interaction between the bending and the microcracks. Numerical simulations of the kinematic descriptors and the dissipative cycles are also provided by using the Finite Element Method and the commercial software COMSOL Multiphysics^®.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636841","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":"Mixed FEM implementation of three-point bending of the beam with an edge crack within strain gradient elasticity theory","authors":"Aleksandr Yu. Chirkov,&nbsp;Lidiia Nazarenko,&nbsp;Holm Altenbach","doi":"10.1007/s00161-024-01333-0","DOIUrl":"10.1007/s00161-024-01333-0","url":null,"abstract":"<div><p>This paper considers the problem of symmetrical three-point bending of a prismatic beam with an edge crack. The solution is obtained by the mixed finite element method within the simplified Toupin–Mindlin strain gradient elasticity theory. A mixed variational formulation of the boundary value problem for displacements–strains–stresses and their gradients is applied, simplifying the choice of approximating functions. The concept of energy balance is adopted to calculate the energy release rate with a virtual increase in crack length. The increment of the potential energy of an elastic body is determined by accounting for the strain and stress gradient contribution. Numerical calculations were performed using a quasi-uniform triangular mesh of the cross-type. The mesh refinement was applied in the vicinity of the crack tip, at the concentrated support, and the point of application of the transverse force, and uniform mesh partitioning was utilized in the rest of the beam. The fine-mesh analysis was carried out on the successively condensed meshes in the stress concentration domain for different values of the length scale parameter. The crack opening displacements and the distribution of strains and Cauchy stresses for various values of the length scale parameter are presented. An increase in this parameter increases the stiffness of the crack, which leads to a decrease in the crack opening displacements and a smooth closure of its faces at the crack tip. In addition, accounting for the scale parameter reduces the calculated values of strains and stresses near the crack tip. Based on the energy balance criterion, local fracture parameters such as the release rate of elastic energy at the crack tip and the stress intensity factor are determined for different values of the mesh step. The numerical calculations indicate the convergence of the obtained approximations. The main feature of solutions, which includes the strain gradient contribution, is the decrease in the values of the calculated parameters associated with the fracture energy compared to the classical elasticity theory.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01333-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142636840","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":"A frequency-dependent model for bone remodeling using a micromorphic porous medium subjected to harmonic mechanical loading","authors":"Yanfei Lu","doi":"10.1007/s00161-024-01326-z","DOIUrl":"10.1007/s00161-024-01326-z","url":null,"abstract":"<div><p>In this paper, the bone tissue was modeled as a linear viscoelastic material saturated with interstitial fluid. We considered a specific case of harmonic loading and related the mechanical stimuli to the loading frequency. In this way, we could include the inertial effect in the model while not having to deal with the perturbation during each loading period. Two types of mechanical signals were considered: strain energy and dissipation energy. A parametric study revealed the dependency of the two signals on loading frequency and material property. The evolution of the apparent mass density supported the parametric study’s findings. Under the three different frequency loadings, the strain energy-stimulated samples experienced identical remodeling scenarios. The samples stimulated with dissipation energy, on the other hand, exhibited a strong frequency dependence. An additional study was performed to investigate the effect of long-term variations in the loading frequency on the remodeling process. This demonstrated the model’s capabilities in designing and evaluating load regimes for rehabilitation following a bone injury or bone reconstruction.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 6","pages":"1741 - 1753"},"PeriodicalIF":1.9,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01326-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142385170","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}