Continuum Mechanics and Thermodynamics最新文献_第10页

Predicting mechanical failure of polycrystalline dual-phase nickel-based alloys by numerical homogenization using a phase field damage model 利用相场损伤模型，通过数值均质化预测多晶双相镍基合金的机械故障

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-29 DOI: 10.1007/s00161-024-01298-0

Jakob Huber, Jonas Vogler, Jan Torgersen, Ewald Werner

{"title":"Predicting mechanical failure of polycrystalline dual-phase nickel-based alloys by numerical homogenization using a phase field damage model","authors":"Jakob Huber, Jonas Vogler, Jan Torgersen, Ewald Werner","doi":"10.1007/s00161-024-01298-0","DOIUrl":"10.1007/s00161-024-01298-0","url":null,"abstract":"<div><p>Brazing of nickel-based alloys plays a major role in the assembly of turbine components, e.g., abradable sealing systems. In a brazed joint of nickel-based alloys a composition of brittle and ductile phases can be formed if the brazing conditions are not ideal. This heterogeneous microstructure is a crucial challenge for predicting the damage behavior of a brazed joint. The initiation and evolution of microdamage inside of the brittle phase of a virtual dual-phase microstructure representing the material in a brazed joint is studied by means of numerical simulations. A phase field approach for brittle damage is employed on the microscale. The simulation approach is capable of depicting phenomena of microcracking like kinking and branching due to heterogeneous stress and strain fields on the microscale. No information regarding the initiation sites and pathways of microcracks is needed a priori. The reliability of calculating the effective critical energy quantities as a microstructure-based criterion for macroscopic damage is assessed. The effective critical strain energy density and the effective critical energy release rate are evaluated for single-phase microstructures, and the approach is transferred to dual-phase microstructures. The local critical strain energy density turns out to be better suited as a model input parameter on the microscale as well as for a microstructure-based prediction of macroscopic damage compared to a model employing the energy release rate. Regarding the uncertainty of the model prediction, using the effective critical energy release rate leads to a standard deviation which is five times larger than the standard deviation in the predicted effective critical strain energy density.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"775 - 793"},"PeriodicalIF":1.9,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01298-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140329194","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

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics 用于细化热力学理论中时间相关问题的双场混合 hp 有限元

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-26 DOI: 10.1007/s00161-024-01300-9

Balázs Tóth, Zsombor Molnár, Róbert Kovács

{"title":"Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics","authors":"Balázs Tóth, Zsombor Molnár, Róbert Kovács","doi":"10.1007/s00161-024-01300-9","DOIUrl":"10.1007/s00161-024-01300-9","url":null,"abstract":"<div><p>Modern manufacturing technologies allow heterogeneous materials with complex inner structures (e.g., foams) to be easily produced. However, their utilization is not straightforward, as the classical constitutive laws are not necessarily valid. According to various experimental observations, the Guyer–Krumhansl equation is a promising candidate for modeling such complex structures. However, practical applications need a reliable and efficient algorithm capable of handling both complex geometries and advanced heat equations. In the present paper, we derive new two-field variational formulations which treat the temperature and the heat flux as independent field variables, and we develop new, advanced <i>hp</i>-type mixed finite element methods, which can be reliably applied. We investigate their convergence properties for various situations, challenging in relation to stability and the treatment of fast propagation speeds. That algorithm is also proved to be outstandingly efficient, providing solutions four magnitudes faster than commercial algorithms.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"825 - 838"},"PeriodicalIF":1.9,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01300-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140291682","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

Modeling of sodiation-induced deformation of Sn anode based on the stress-driven nonlocal integral elasticity 基于应力驱动的非局部积分弹性的钠化诱导锡阳极变形模型

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-25 DOI: 10.1007/s00161-024-01290-8

Zuoquan Zhu, Mengmeng Lv, Zongchao Liu, Jing Wan

{"title":"Modeling of sodiation-induced deformation of Sn anode based on the stress-driven nonlocal integral elasticity","authors":"Zuoquan Zhu, Mengmeng Lv, Zongchao Liu, Jing Wan","doi":"10.1007/s00161-024-01290-8","DOIUrl":"10.1007/s00161-024-01290-8","url":null,"abstract":"<div><p>The anode material Sn used in sodium-ion batteries displays high theoretical capacity, complex phase transformation, and significant volume change during the charging/discharging process. In particular, the effects of small scale on the mechanical behavior of Sn anode at the nanoscale are very active research fields. However, the majority of these results are based on nonlocal gradient formulations. In this study, we proposed and established a model that combines the electrochemical reaction with stress-driven nonlocal integral elasticity for the nanoelectrode to analyze the evolution of diffusion-induced deformation during the sodiation process. Several critical features, such as the small-scale parameter, two-phase reaction, and concentration-dependent elastic modulus, were incorporated into the established model. The model demonstrated that a small scale could significantly affect the deformation behavior. The results obtained using the finite element method showed that the mechanical reliability of the Sn anode could be significantly enhanced when the anode was sodiated with larger nonlocal parameters and smaller slenderness. In addition, the axial action force exhibited a strong size effect and was influenced by the nondimensional thickness parameter of the anode. This work provides a framework for multi-scale research on high-capacity sodium-ion battery electrodes.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"725 - 735"},"PeriodicalIF":1.9,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140291636","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

Heat conduction in multi-component step-wise FGMs 多组分阶梯式 FGM 中的热传导

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-22 DOI: 10.1007/s00161-024-01296-2

Olga Szlachetka, Ivan Giorgio

{"title":"Heat conduction in multi-component step-wise FGMs","authors":"Olga Szlachetka, Ivan Giorgio","doi":"10.1007/s00161-024-01296-2","DOIUrl":"10.1007/s00161-024-01296-2","url":null,"abstract":"<div><p>This paper provides a thorough investigation of a heat conduction problem that pertains to tolerance modelling in layered materials made up of multiple components. These media are functionally graded materials and thus have varying properties that affect their effectiveness. The proposed equations explain the conduction of heat in layered composites. The formulation involves partial differential equations, which utilise smooth and slowly varying functions. Notably, an extension of the unified tolerance modelling procedure is presented generalising existing models for two-component step-wise functionally graded materials (FGMs). This extension allows for the analysis of specific issues related to heat conduction in multi-component stratified composites with a transversal gradation of effective properties. This is the most important novelty achievement of the present paper because it will contribute to advancing knowledge and allows researchers, engineers, and practitioners to use the method in a broader context, addressing a more extensive set of real-world situations not limited to the number of component materials.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 5","pages":"1393 - 1411"},"PeriodicalIF":1.9,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01296-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140188694","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

Peridynamic simulation of creep deformation and damage 蠕变变形和损伤的周动态模拟

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-17 DOI: 10.1007/s00161-024-01295-3

Deepak Behera, Pranesh Roy, Erdogan Madenci

引用次数: 0

Exact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material 在带有不可压缩非线性弹性微波材料预变形层的复合板坯中施加大变形的一个问题的精确解法

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-16 DOI: 10.1007/s00161-024-01294-4

V. A. Levin, K. M. Zingerman, A. E. Belkin

{"title":"Exact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material","authors":"V. A. Levin, K. M. Zingerman, A. E. Belkin","doi":"10.1007/s00161-024-01294-4","DOIUrl":"10.1007/s00161-024-01294-4","url":null,"abstract":"<div><p>An exact solution is obtained for a new class of problems on the imposition of large deformations in nonlinear elastic micropolar bodies. The problem of determining the stress state in a compound slab having the shape of a rectangular parallelepiped, composed of pre-deformed layers and subjected to biaxial tension or compression is solved. The layers are made of isotropic incompressible nonlinear elastic micropolar materials. The layers are preliminarily deformed by straightening of circular cylindrical sectors. The solution is based on a class of universal deformations for isotropic incompressible nonlinear elastic micropolar materials. Numerical studies were carried out. The dependencies of stresses, resulting forces and moments on the parameters of initial and additional deformations are presented. Significant nonlinear effects are revealed. The influence of micropolar effects on the stress state has been studied. The solution can be used to verify software designed to numerically solve problems on the imposition of large deformations in bodies made of nonlinear elastic micropolar materials.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"763 - 774"},"PeriodicalIF":1.9,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140142068","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

Variable properties reconstruction for functionally graded thermoelectroelastic cylinder 功能分级热电弹性圆柱体的可变特性重构

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-13 DOI: 10.1007/s00161-024-01292-6

Alexander Vatulyan, Sergey Nesterov, Rostislav Nedin

{"title":"Variable properties reconstruction for functionally graded thermoelectroelastic cylinder","authors":"Alexander Vatulyan, Sergey Nesterov, Rostislav Nedin","doi":"10.1007/s00161-024-01292-6","DOIUrl":"10.1007/s00161-024-01292-6","url":null,"abstract":"<div><p>In this research, we present an approach to identify variable characteristics of an inhomogeneous thermoelectroelastic radially polarized elongated hollow cylinder. The cylinder’s thermomechanical characteristics depend on the radial coordinate. We consider two loading types for the cylinder—the mechanical and the thermal ones. The radial displacement is considered as the additional data collected on the outer cylinder’s surface under the first type load, while the temperature measured over a certain time interval is considered for the second type load. The direct problem after non-dimensioning and applying the Laplace transform is solved by jointly applying the shooting method and the transform inversion based on expanding the actual space in terms of the shifted Legendre polynomials. The effect of the laws of change in variable characteristics on the input data values taken in the experiment is analyzed. A nonlinear inverse problem on the reconstruction of the cylinder’s variable properties is formulated and solved on the basis of an iterative technique. The initial approximation is set in the class of positive bounded linear functions whose coefficients are determined from the condition of minimizing the residual functional. To find the corrections at each stage of the iterative process, the Fredholm integral equations of the first kind are solved by means of the Tikhonov method. A series of computational experiments on recovering one and two variable characteristics is conducted. The effect of coupling parameters and input noise on the reconstruction results is revealed.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"745 - 762"},"PeriodicalIF":1.9,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140123875","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

Asymptotic behaviour for convection with anomalous diffusion 具有反常扩散的对流的渐近行为

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-06 DOI: 10.1007/s00161-024-01291-7

Brian Straughan, Antonio Barletta

引用次数: 0

Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect 带有同位素缺陷的一维谐波链中的非稳态弹性波散射和能量传输

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-04 DOI: 10.1007/s00161-024-01289-1

Serge N. Gavrilov, Ekaterina V. Shishkina

{"title":"Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect","authors":"Serge N. Gavrilov, Ekaterina V. Shishkina","doi":"10.1007/s00161-024-01289-1","DOIUrl":"10.1007/s00161-024-01289-1","url":null,"abstract":"<div><p>The fundamental solution describing non-stationary elastic wave scattering on an isotopic defect in a one-dimensional harmonic chain is obtained in an asymptotic form. The chain is subjected to unit impulse point loading applied to a particle far enough from the defect. The solution is a large-time asymptotics at a moving point of observation, and it is in excellent agreement with the corresponding numerical calculations. At the next step, we assume that the applied point impulse excitation has random amplitude. This allows one to model the heat transport in the chain and across the defect as the transport of the mathematical expectation for the kinetic energy and to use the conception of the kinetic temperature. To provide a simplified continuum description for this process, we separate the slow in time component of the kinetic temperature. This quantity can be calculated using the asymptotics of the fundamental solution for the deterministic problem. We demonstrate that there is a thermal shadow behind the defect: the order of vanishing for the slow temperature is larger for the particles behind the defect than for the particles between the loading and the defect. The presence of the thermal shadow is related to a non-stationary wave phenomenon, which we call the anti-localization of non-stationary waves. Due to the presence of the shadow, the continuum slow kinetic temperature has a jump discontinuity at the defect. Thus, the system under consideration can be a simple model for the non-stationary phenomenon, analogous to one characterized by the Kapitza thermal resistance. Finally, we analytically calculate the non-stationary transmission function, which describes the distortion (caused by the defect) of the slow kinetic temperature profile at a far zone behind the defect.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"699 - 724"},"PeriodicalIF":1.9,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140032035","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 modified mathematical model for thermo-viscous thermal conduction incorporating memory-based derivatives and the Moore–Gibson–Thomson equation 包含基于记忆的导数和摩尔-吉布森-汤姆森方程的热粘性热传导修正数学模型

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-03-02 DOI: 10.1007/s00161-024-01284-6

Ahmed E. Abouelregal, Marin Marin, Sameh S. Askar, Abdelaziz Foul

{"title":"A modified mathematical model for thermo-viscous thermal conduction incorporating memory-based derivatives and the Moore–Gibson–Thomson equation","authors":"Ahmed E. Abouelregal, Marin Marin, Sameh S. Askar, Abdelaziz Foul","doi":"10.1007/s00161-024-01284-6","DOIUrl":"10.1007/s00161-024-01284-6","url":null,"abstract":"<div><p>Analyzing the viscoelastic characteristics of materials, especially polymers, is essential for understanding their mechanical properties and their capacity to function in different conditions. This paper presents a novel viscoelastic heat transfer model that integrates a memory-based derivative with the Moore–Gibson–Thomson (MGT) equation. The purpose is to examine the viscoelastic characteristics of materials and assess their response to external stresses and deformations over a certain period of time. In addition to incorporating the third-type thermoelastic model that Green and Naghdi provided, the derivation of this thermo-viscoelastic model included the integration of heat flow and its time derivative into Fourier’s equation. To verify and understand the proposed model, it was applied to consider an unbounded viscoelastic semi-space immersed in a uniform magnetic field and exposed to non-Gaussian laser radiation as a heat source. An analysis of computational results was conducted to evaluate how the behavior of the field variables under consideration is affected by viscoelastic coefficients and memory-based derived factors.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"585 - 606"},"PeriodicalIF":1.9,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140015413","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