Continuum Mechanics and Thermodynamics最新文献_第10页

Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements 基于等效解析公式的一维有限元多体弹性系统分析

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-11-17 DOI: 10.1007/s00161-023-01270-4

Sorin Vlase, Marin Marin, Andreas Öchsner, Omar El Moutea

{"title":"Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements","authors":"Sorin Vlase, Marin Marin, Andreas Öchsner, Omar El Moutea","doi":"10.1007/s00161-023-01270-4","DOIUrl":"10.1007/s00161-023-01270-4","url":null,"abstract":"<div><p>For the particular case of an elastic multibody system (MBS) that can be modeled using one-dimensional finite elements, the main methods offered by analytical mechanics in its classical form for analysis are presented in a unitary description. The aim of the work is to present in a unitary form the main methods offered by classical mechanics for the analysis of solid systems. There is also a review of the literature that uses and highlights these methods, which need to be reconsidered considering the progress of the industry and the complexity of the studied systems. Thus, the kinematics of a finite element is described for the calculation of the main quantities used in the modeling of multibody systems and in analytical mechanics. The main methods used in the research of MBS systems are presented and analyzed. Thus, Lagrange’s equations, Gibbs–Appell equations, Maggi’s formalism, Kane’s equations and Hamilton’s equations are studied in turn. This presentation is determined by the advantages that alternatives to Lagrange’s equations can offer, which currently represent the method most used by researchers.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 1","pages":"197 - 215"},"PeriodicalIF":1.9,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138293327","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

Analysis of the contact critical pressure of collapsible tubes for biomedical applications 生物医学用可折叠管接触临界压力分析

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-11-10 DOI: 10.1007/s00161-023-01271-3

Marco Laudato, Mihai Mihaescu

引用次数: 0

Experimental investigations and numerical modelling: a fruitful interaction for the nonlinear dynamical analysis of masonry structures 试验研究和数值模拟：砌体结构非线性动力分析的一个富有成效的相互作用

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-11-08 DOI: 10.1007/s00161-023-01264-2

Riccardo Mario Azzara, Maria Girardi, Cristina Padovani, Daniele Pellegrini

{"title":"Experimental investigations and numerical modelling: a fruitful interaction for the nonlinear dynamical analysis of masonry structures","authors":"Riccardo Mario Azzara, Maria Girardi, Cristina Padovani, Daniele Pellegrini","doi":"10.1007/s00161-023-01264-2","DOIUrl":"10.1007/s00161-023-01264-2","url":null,"abstract":"<div><p>This paper describes the experiments carried out on a mediaeval masonry tower in the historic centre of Lucca and some finite element numerical simulations of the tower’s experimental response. The Guinigi Tower, one of the most iconic monuments in Lucca, has been continuously monitored by high-sensitivity seismic stations that recorded the structure’s response to the dynamic actions of the surrounding environment. The monitoring campaign results have been analysed to show the effectiveness of dynamic monitoring as a valuable source of information on the structural properties of the tower. The dynamic analyses of the tower and the surrounding palace subjected to some seismic events recorded during the experiments have highlighted the capabilities of experiment-based finite element modelling. The calibration of the finite element model and the numerical analysis have been carried out by resorting to procedures developed at ISTI-CNR and able to consider the nonlinear behaviour of masonry materials.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 5","pages":"1339 - 1359"},"PeriodicalIF":1.9,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01264-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71516752","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

Experimental verification of the internal ballistics numerical simulations of classical weapons in Lagrangian coordinates 拉格朗日坐标系下经典武器内弹道数值模拟的实验验证

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-31 DOI: 10.1007/s00161-023-01263-3

Filip Kagankiewicz, Mariusz Magier

{"title":"Experimental verification of the internal ballistics numerical simulations of classical weapons in Lagrangian coordinates","authors":"Filip Kagankiewicz, Mariusz Magier","doi":"10.1007/s00161-023-01263-3","DOIUrl":"10.1007/s00161-023-01263-3","url":null,"abstract":"<div><p>Using the possibilities of modern science and technology, it can be said that the presented mathematical model has been formulated without significant simplifications, and its (numerical) solution itself will be performed with high accuracy. The main purpose of the work was to create a tool supporting the calculation of the main problem of internal ballistics for barrel propellant systems in order to achieve digital solutions as close as possible to the results obtained using experimental ballistics methods. The scientific hypothesis of the work postulates that the physical model of internal ballistics formulated in Lagrange coordinates will allow to solve the main problem of internal ballistics of barrel systems in a digital way, obtaining such solution results that will satisfactorily reflect the solution results obtained using experimental ballistics methods. The results of digital simulations of physical phenomena of solutions to the main problem of internal ballistics of barrel weapons were compared with the results of experimental tests and the degree of agreement was determined.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 5","pages":"1323 - 1337"},"PeriodicalIF":1.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01263-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71509240","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

Dependence on strain rate of the glass and ductile-to-brittle transition temperatures of an ultra-high molecular weight polyethylene used at cryogenic temperature 玻璃的应变速率和超高分子量聚乙烯在低温下的韧性-脆性转变温度的相关性

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-30 DOI: 10.1007/s00161-023-01261-5

Nathan Odou, James Hermary, Cristian Ovalle, Lucien Laiarinandrasana

{"title":"Dependence on strain rate of the glass and ductile-to-brittle transition temperatures of an ultra-high molecular weight polyethylene used at cryogenic temperature","authors":"Nathan Odou, James Hermary, Cristian Ovalle, Lucien Laiarinandrasana","doi":"10.1007/s00161-023-01261-5","DOIUrl":"10.1007/s00161-023-01261-5","url":null,"abstract":"<div><p>This paper investigates the mechanical response and the mechanisms of failure of an ultra-high molecular weight polyethylene under service at cryogenic temperature. The service temperature <span>(T_textrm{s})</span> being about <span>({50},^circ {text {C}})</span> below its glass transition temperature <span>(T_textrm{g})</span>, the study focuses on the experimental techniques to determine both the glass transition temperature <span>(T_textrm{g})</span> and the ductile–brittle transition temperature (DBTT). <span>(T_textrm{g})</span> was estimated by dynamic mechanical thermal analysis (DTMA) and contrasted with the glassy–rubbery transition defined by using the Young’s modulus issued from monotonic tensile tests on smooth specimens at room and low temperature and various cross-head speeds. Concerning the DBTT, two estimators of the transition, based on the fracture surface and the up-to-failure data, were studied. An operating diagram (temperature/cross-head speed) including the probability of ductile failure and both the rubbery and glassy domains is proposed. This diagram aims at finding an optimal compromise of the material response combining stiff versus soft with brittle versus ductile behaviour.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 2","pages":"391 - 413"},"PeriodicalIF":1.9,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71509234","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

Thermodynamically consistent variational theory of porous media with a breaking component 具有破碎成分的多孔介质的热力学一致变分理论

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-23 DOI: 10.1007/s00161-023-01262-4

François Gay-Balmaz, Vakhtang Putkaradze

{"title":"Thermodynamically consistent variational theory of porous media with a breaking component","authors":"François Gay-Balmaz, Vakhtang Putkaradze","doi":"10.1007/s00161-023-01262-4","DOIUrl":"10.1007/s00161-023-01262-4","url":null,"abstract":"<div><p>If a porous media is being damaged by excessive stress, the elastic matrix at every infinitesimal volume separates into a ‘solid’ and a ‘broken’ component. The ‘solid’ part is the one that is capable of transferring stress, whereas the ‘broken’ part is advecting passively and is not able to transfer the stress. In previous works, damage mechanics was addressed by introducing the <i>damage parameter</i> affecting the elastic properties of the material. In this work, we take a more microscopic point of view, by considering the <i>transition</i> from the ‘solid’ part, which can transfer mechanical stress, to the ‘broken’ part, which consists of microscopic solid particles and does not transfer mechanical stress. Based on this approach, we develop a thermodynamically consistent dynamical theory for porous media including the transfer between the ‘broken’ and ‘solid’ components, by using a variational principle recently proposed in thermodynamics. This setting allows us to derive an explicit formula for the breaking rate, i.e., the transition from the ‘solid’ to the ‘broken’ phase, dependent on the Gibbs’ free energy of each phase. Using that expression, we derive a reduced variational model for material breaking under one-dimensional deformations. We show that the material is destroyed in finite time, and that the number of ‘solid’ strands vanishing at the singularity follows a power law. We also discuss connections with existing experiments on material breaking and extensions to multi-phase porous media.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 1","pages":"75 - 105"},"PeriodicalIF":1.9,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135367734","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

Numerical treatment of reactive diffusion using the discontinuous Galerkin method 使用非连续伽勒金方法对反应扩散进行数值处理

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-13 DOI: 10.1007/s00161-023-01258-0

Wolfgang Flachberger, Jiri Svoboda, Thomas Antretter, Manuel Petersmann, Silvia Leitner

{"title":"Numerical treatment of reactive diffusion using the discontinuous Galerkin method","authors":"Wolfgang Flachberger, Jiri Svoboda, Thomas Antretter, Manuel Petersmann, Silvia Leitner","doi":"10.1007/s00161-023-01258-0","DOIUrl":"10.1007/s00161-023-01258-0","url":null,"abstract":"<div><p>This work presents a new finite element variational formulation for the numerical treatment of diffusional phase transformations using the discontinuous Galerkin method (DGM). Steep concentration and property gradients near phase boundaries require particular focus on a sound numerical treatment. There are different ways to tackle this problem ranging from (i) the well-known phase field method (PFM) (Biner et al. in Programming phase-field modeling, Springer, Berlin, 2017, Emmerich in The diffuse interface approach in materials science: thermodynamic concepts and applications of phase-field models, Springer, Berlin, 2003), where the interface is described continuously to (ii) methods that allow sharp transitions at phase boundaries, such as reactive diffusion models (Svoboda and Fischer in Comput Mater Sci 127:136–140, 2017, 78:39–46, 2013, Svoboda et al. in Comput Mater Sci 95:309–315, 2014). Phase transformation problems with continuous property changes can be implemented using the continuous Galerkin method (GM). Sharp interface models, however, lead to stability problems with the GM. A method that is able to treat the features of sharp interface models is the discontinuous Galerkin method. This method is well understood for regular diffusion problems (Cockburn in ZAMM J Appl Math Mech 83(11):731–754, 2003). As will be shown, it is also particularly well suited to model phase transformations. We discuss the thermodynamic background by review of a multi-phase, binary system. A new DGM formulation for the phase transformation problem with sharp interfaces is then introduced. Finally, the derived method is used in a 2D microstructural evolution simulation that features a binary, three-phase system that also takes the vacancy mechanism of solid body diffusion into account.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 1","pages":"61 - 74"},"PeriodicalIF":1.9,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01258-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135857087","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

Constitutive relationships for osteonal microcracking in human cortical bone using statistical mechanics 利用统计力学分析人体皮质骨中骨性微裂纹的构成关系

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-11 DOI: 10.1007/s00161-023-01257-1

S. García-Vilana, D. Sánchez-Molina

{"title":"Constitutive relationships for osteonal microcracking in human cortical bone using statistical mechanics","authors":"S. García-Vilana, D. Sánchez-Molina","doi":"10.1007/s00161-023-01257-1","DOIUrl":"10.1007/s00161-023-01257-1","url":null,"abstract":"<div><p>The post-elastic mechanical behavior of cortical bone, which is represented by extensive microcracking once the elastic regime is exceeded, has been characterized by a nonlinear constitutive relationship for osteonal microcracking. The relationship/model is based on the formalism of Statistical Mechanics, allowing the degree of irreversibility to be calculated using the increase in entropy associated with the progression of microcracking. Specific tensile and bending tests were conducted to compare theoretical predictions of constitutive relationships to empirical curves. In addition, the tests were utilized to determine the model’s parameters, whose values were used to explicitly calculate the entropy increase. A large sample was used: 51 cortical bone coupons (dog-bone-shaped specimens) were extracted from the 4th ribs of numerous individuals and subjected to uniaxial tensile testing. Additionally, fifteen complete 4th ribs were used for bending tests. Displacement and strain fields were measured for both types of tests using digital image correlation or video recordings of the tests. All experimental specimen data were successfully fitted to the model, and all constitutive parameter values were found to be correlated with anthropometric variables. Explicit entropy calculations indicate that microcracking is minimal for low strain and, initially, stress is nearly proportional to strain. After a certain point, significant microcracking occurs, and the relationship between stress and strain becomes invalid. Several significant associations between constitutive parameters and age have also been identified.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 1","pages":"41 - 59"},"PeriodicalIF":1.9,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01257-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062435","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

Phase field modeling of anisotropic fracture 各向异性断裂的相场建模

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-04 DOI: 10.1007/s00161-023-01260-6

D. Pranavi, A. Rajagopal, J. N. Reddy

{"title":"Phase field modeling of anisotropic fracture","authors":"D. Pranavi, A. Rajagopal, J. N. Reddy","doi":"10.1007/s00161-023-01260-6","DOIUrl":"10.1007/s00161-023-01260-6","url":null,"abstract":"<div><p>The main aim of the current study is to explore direction-dependent fracture initiation and propagation within an arbitrary anisotropic solid. In particular, the specific objective is to develop an anisotropic cohesive phase-field (PF) fracture model. In this model, weak and strong anisotropy is considered both in the strain energy and fracture energy. This is achieved by considering contributions to strain energy of fiber and matrix as in the case of fiber-reinforced composites (FRC) together with introducing anisotropy in fracture energy through higher-order structural tensors. Motivated from earlier works of Van den Bosch et al. (Eng Fract Mech 73:1220–1234, 2006), the PF fracture model is integrated with a coupled exponential cohesive zone law which considers both normal and tangential components of separation. Such a cohesive PF description has a strong micromechanical basis for fracture, requiring interface fracture toughness and ultimate traction in normal and tangential directions. <span>(C^0)</span> and <span>(C^1)</span> approximations are used for modeling the weak and strong anisotropy. Several numerical examples are presented to demonstrate the usefulness of the model developed herein. The obtained numerical results are validated with the experimental results from the literature. The anisotropic fracture resulting in either intergranular or transgranular failure of polycrystalline material is analyzed by adopting a coupled anisotropic phase field and cohesive zone approach.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 5","pages":"1267 - 1282"},"PeriodicalIF":1.9,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135591008","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

Workshop “Micropolar continua and beyond” "微极连续体及其他 "讲习班

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2023-10-03 DOI: 10.1007/s00161-023-01259-z

Wolfgang H. Müller, Victor A. Eremeyev

引用次数: 0