Continuum Mechanics and Thermodynamics最新文献

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Quantifying the effects of particle spatial distribution in random thermoelastic composites – numerical and mean-field analyses 量化随机热弹性复合材料中颗粒空间分布的影响-数值和平均场分析
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-23 DOI: 10.1007/s00161-026-01498-w
Paweł Hołobut, Michał Majewski, Katarzyna Kowalczyk-Gajewska
{"title":"Quantifying the effects of particle spatial distribution in random thermoelastic composites – numerical and mean-field analyses","authors":"Paweł Hołobut,&nbsp;Michał Majewski,&nbsp;Katarzyna Kowalczyk-Gajewska","doi":"10.1007/s00161-026-01498-w","DOIUrl":"10.1007/s00161-026-01498-w","url":null,"abstract":"<div><p>The effect of spatial distribution of randomly-placed particles in a representative composite volume on the thermoelastic effective properties and local stress and strain distribution is analyzed. Quantitative assessment is performed using both the full-field finite element analyses and the mean-field interaction model, known also as a “cluster” model. The latter model is developed in the multi-family setting enabling one to study the mean stress and strain separately for each inclusion in the representative unit cell. The particles are assumed to be spherical and of equal size, while considered examples differ by the volume fraction of inclusions and the particle spatial layout, and in particular the mean nearest-neighbour distances.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01498-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148586774","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
FEM analysis of time-dependent nanolayer Boger fluid flow in a semi-circular cavity with centrally heated step-shaped obstacle under Dufour effects Dufour效应下半圆形腔体中心加热阶梯状障碍物中随时间变化的纳米层Boger流体流动有限元分析
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-15 DOI: 10.1007/s00161-026-01508-x
Qadeer Raza, Xiaodong Wang, Tahir Mushtaq, Hijaz Ahmad
{"title":"FEM analysis of time-dependent nanolayer Boger fluid flow in a semi-circular cavity with centrally heated step-shaped obstacle under Dufour effects","authors":"Qadeer Raza,&nbsp;Xiaodong Wang,&nbsp;Tahir Mushtaq,&nbsp;Hijaz Ahmad","doi":"10.1007/s00161-026-01508-x","DOIUrl":"10.1007/s00161-026-01508-x","url":null,"abstract":"<div><p>Heat and mass transfer in semi-circular cavities remains a central focus in thermal engineering research. The present study investigates transport phenomena in a porous semi-circular enclosure filled with Boger fluid, with particular emphasis on the role of nanolayer thermal conductivity. A centrally embedded heated step is introduced as a thermal barrier to capture the influence of localized heating on flow dynamics. The governing partial differential equations are nondimensionalized using similarity transformations and solved numerically through the finite element method (FEM). The analysis demonstrates that key parameters–including solvent fraction, nanolayer thickness, time relaxation ratio, particle size, Darcy number, buoyancy ratio, Rayleigh number, Brownian diffusion, thermophoresis, Eckert number, and Schmidt number strongly affect flow circulation, thermal and concentration fields, and local Nusselt number variation. It is observed that changes in the solvent fraction and time relaxation ratio indirectly influence material dispersion and transport within the fluid. Increasing nanolayer thickness enhances the heat transfer rate in both the temperature profile and the local Nusselt number, whereas larger particle radius exhibit the opposite effect. Higher Brownian motion and thermophoresis parameters intensify the flow field, temperature, and concentration distributions, but reduce the local Nusselt number. Moreover, larger time variations yield stronger flow circulation, elevated temperature fields, and enhanced concentration distributions compared to smaller time values. The centrally heated step-shaped obstacle is shown to provide significantly more effective heat and mass transfer relative to the cold and adiabatic cases.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466518","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 investigation of double shock-induced microjetting from a grooved Sn sample via Eulerian peridynamics 基于欧拉动力学的双激波微喷流数值研究
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-12 DOI: 10.1007/s00161-026-01505-0
Chen Yao, Fei Han, Ling Zhang, Xiaoliang Deng
{"title":"Numerical investigation of double shock-induced microjetting from a grooved Sn sample via Eulerian peridynamics","authors":"Chen Yao,&nbsp;Fei Han,&nbsp;Ling Zhang,&nbsp;Xiaoliang Deng","doi":"10.1007/s00161-026-01505-0","DOIUrl":"10.1007/s00161-026-01505-0","url":null,"abstract":"<div><p>This study employs the Eulerian peridynamic model to investigate microjetting phenomena from a grooved Sn surface under double-shock loading, with particular emphasis on the dynamic evolution of secondary microjetting. The formation mechanisms are analyzed through variations in particle velocity, and the origins of the ejected mass are examined in detail. In addition, the effects of loading parameters, such as the duration and amplitude of the first shock and the amplitude of the second shock, are systematically evaluated. The results demonstrate that prolonging the first shock duration, increasing its amplitude, or reducing the amplitude of the second shock leads to decreases in both spike velocity and ejected mass during secondary microjetting. The simulations further reveal that the occurrence of secondary microjetting is primarily governed by the bubble morphology generated in the initial stage. Consequently, the concept of bubble morphology offers new insights into understanding and predicting secondary microjetting behavior.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148428981","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
Physics-informed neural network and data-driven modeling of non-Fourier heat transfer in laser-irradiated semiconductor media using bi-Helmhotz nonlocal theory 使用bi-Helmhotz非局域理论的激光辐照半导体介质中非傅立叶传热的物理信息神经网络和数据驱动建模
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-09 DOI: 10.1007/s00161-026-01507-y
Abhik Sur, Syed Modassir Hussain, Eduard-Marius Craciun, Abhinav Singhal, Nayan Kumar Ranjit, Murat Yaylacı, Soumik Das
{"title":"Physics-informed neural network and data-driven modeling of non-Fourier heat transfer in laser-irradiated semiconductor media using bi-Helmhotz nonlocal theory","authors":"Abhik Sur,&nbsp;Syed Modassir Hussain,&nbsp;Eduard-Marius Craciun,&nbsp;Abhinav Singhal,&nbsp;Nayan Kumar Ranjit,&nbsp;Murat Yaylacı,&nbsp;Soumik Das","doi":"10.1007/s00161-026-01507-y","DOIUrl":"10.1007/s00161-026-01507-y","url":null,"abstract":"<div><p>This study develops a hybrid analytical and physics-informed machine learning framework to analyze non-Fourier heat transfer in laser-irradiated semiconductor media. The model integrates bi-Helmholtz nonlocal thermoelasticity with dual length-scale parameters to capture size-dependent mechanical effects, alongside a modified Green–Naghdi heat conduction theory to describe finite-speed thermal wave propagation and relaxation phenomena. The coupled governing equations for displacement, temperature, carrier density, and stress are first solved analytically using a normal-mode approach to obtain benchmark solutions. A physics-informed neural network (PINN) is then constructed by embedding the governing equations and boundary conditions into the learning process, enabling efficient and accurate prediction of multiphysics responses. The proposed approach significantly reduces computational cost while preserving high accuracy. Parametric analysis highlights the strong influence of nonlocal parameters and thermal relaxation on wave propagation and carrier dynamics. The framework offers a robust tool for real-time simulation of laser-induced thermal processes in semiconductor systems.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148408956","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 study of energy in thermoelastic diffusion theory for Cosserat media Cosserat介质热弹性扩散理论中的能量研究
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-08 DOI: 10.1007/s00161-026-01503-2
Stefan Pirlog, Marin Marin, Octavia Hapenciuc
{"title":"A study of energy in thermoelastic diffusion theory for Cosserat media","authors":"Stefan Pirlog,&nbsp;Marin Marin,&nbsp;Octavia Hapenciuc","doi":"10.1007/s00161-026-01503-2","DOIUrl":"10.1007/s00161-026-01503-2","url":null,"abstract":"<div><p>In our study we approach some energy considerations in the theory of thermoelastic diffusion for Cosserat bodies. After defining the mixed problem in this context, that is, the motion equations, the initial values and the boundary conditions, we introduce the Cesaro means for different components of energy, attached to a solution to this problem. In our main result, we show that the strain energy becomes equal, in mean, to the kinetic energy, as <span>(trightarrow infty )</span>, that is, we have an asymptotic partition, in mean, of the two important components of energy.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148408913","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
Transmission conditions for a poroelastic interface in a rectangular domain 矩形域孔弹性界面的传输条件
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-06 DOI: 10.1007/s00161-026-01501-4
Natalya Vaysfeld, Daniel Peck, Yuriy Protserov, Zinaida Zhuravlova
{"title":"Transmission conditions for a poroelastic interface in a rectangular domain","authors":"Natalya Vaysfeld,&nbsp;Daniel Peck,&nbsp;Yuriy Protserov,&nbsp;Zinaida Zhuravlova","doi":"10.1007/s00161-026-01501-4","DOIUrl":"10.1007/s00161-026-01501-4","url":null,"abstract":"<div><p>We investigate a pair of rectangular poroelastic layers separated by a thin poroelastic interface. The domain has either permeable or impermeable boundaries. The interface’s material and hydrological properties may vary significantly from those of the main body, impacting the resulting displacement, stress and pore pressure fields. A total of eighteen transmission conditions are considered: eight independent conditions derived from asymptotic analysis and ten auxiliary conditions obtained through their combinations. Numerical simulations are performed for both mechanical loading and external pressure loading, providing a systematic comparison between the proposed transmission conditions and the classical ideal contact model. The results demonstrate pronounced qualitative and quantitative differences, with the contrast between the layers’ poroelastic constants significantly affecting the redistribution of stress, deformations and pore pressure, highlighting the limitations of idealized interface assumptions. The effect of boundary permeability on the poroelastic stress state reveal its significant role in the overall response of the system. The findings underscore the relevance of advanced transmission conditions for realistic modeling of layered poroelastic structures and provide guidance for selecting appropriate interface models in practical engineering applications.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01501-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148408924","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
Zero approximation of micropolar prismatic bodies via Legendre polynomial expansion: dispersion and wave phenomena 通过勒让德多项式展开的微极棱柱体零逼近:色散和波动现象
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-06 DOI: 10.1007/s00161-026-01502-3
Armine Ulukhanyan
{"title":"Zero approximation of micropolar prismatic bodies via Legendre polynomial expansion: dispersion and wave phenomena","authors":"Armine Ulukhanyan","doi":"10.1007/s00161-026-01502-3","DOIUrl":"10.1007/s00161-026-01502-3","url":null,"abstract":"<div><p>The dynamic behaviour of a micropolar elastic prismatic body is investigated using the zero approximation of the three-dimensional Cosserat continuum, reducing the governing equations across the thickness. The resulting system decouples into independent subsystems, yielding six dispersion branches, including micro-rotational modes with material-dependent cutoff frequencies. The framework is applied to a finite simply supported square plate under harmonic loading, and analytical predictions are verified by direct numerical evaluation of the derived closed-form solutions. A parametric study reveals a pronounced size effect: thinner plates exhibit enhanced micro-rotational response, absent in classical plate theories. Equivalent fourth-order wave equations for transverse displacement and micro-rotation highlight three advantages over classical Timoshenko-type theory: the emergence of a micropolar length scale, an analytical shear correction factor derived from material constants, and well-posedness in the incompressible limit. The proposed formulation provides a compact yet physically rich approach for predicting size-dependent wave phenomena in microstructured materials and metamaterials. These hyperbolic equations emerge at the zero approximation, whereas the classical analogue requires the first approximation.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148408917","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
Initial temperature, heat flux, and distribution of quasiparticles in one-dimensional chains 一维链中准粒子的初始温度、热通量和分布
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-06 DOI: 10.1007/s00161-026-01482-4
Alexander A. Kedrov, Vitaly A. Kuzkin, Zhongwei Zhang, Jie Chen
{"title":"Initial temperature, heat flux, and distribution of quasiparticles in one-dimensional chains","authors":"Alexander A. Kedrov,&nbsp;Vitaly A. Kuzkin,&nbsp;Zhongwei Zhang,&nbsp;Jie Chen","doi":"10.1007/s00161-026-01482-4","DOIUrl":"10.1007/s00161-026-01482-4","url":null,"abstract":"<div><p>Macroscopic heat transfer problems, governed by the Fourier law, require a single initial condition, namely the initial temperature profile. The corresponding profile of the initial heat flux is uniquely determined by the temperature gradient. At micro- and nanoscales, however, non-Fourier effects often dominate, demanding independent specification of initial temperature and heat flux profiles (e.g., in Maxwell-Cattaneo-type theories) or even the full initial quasiparticle distribution function (in kinetic theory). The question arises of how these continuum initial conditions can be set in discrete molecular dynamics simulations, which are widely used for investigation of non-Fourier heat transfer. Answering this question is of fundamental importance because it allows one to link the predictions of various continuum and discrete models of heat transfer. We address this question, using the simplest model of a solid — a one-dimensional harmonic chain. The main idea is to represent the initial conditions for particles as a superposition of waves with random phases and slowly varying envelopes. We show analytically that by properly choosing the envelopes, one can set a desired initial quasiparticle distribution function and corresponding temperature and heat flux profiles. Using several examples, we discuss capabilities and limitations of this approach.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148409005","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
Size-Dependent DPL Model for Thermoelastic Damping in Piezothermoelastic Fiber-Reinforced Resonator 压热弹性纤维增强腔热弹性阻尼的尺寸相关DPL模型
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-07-01 DOI: 10.1007/s00161-026-01506-z
Bikram Dholey, Kshitish Ch. Mistri, Amrita Das, Gopal Chandra Shit
{"title":"Size-Dependent DPL Model for Thermoelastic Damping in Piezothermoelastic Fiber-Reinforced Resonator","authors":"Bikram Dholey,&nbsp;Kshitish Ch. Mistri,&nbsp;Amrita Das,&nbsp;Gopal Chandra Shit","doi":"10.1007/s00161-026-01506-z","DOIUrl":"10.1007/s00161-026-01506-z","url":null,"abstract":"<div><p>In this study an analytical study of thermoelastic damping in piezothermoelastic fiber-reinforced composite (PTFRC) Kirchhoff plate resonators considering size dependency is carried out through generalized heat conduction. Effective characteristics of the composite medium are computed based on a combination of rule of mixture (RM) and strength of materials (SM) approach; thereby the coupling of the mechanical-electromagnetic and thermal characteristics of the PTFRC can be realistically modeled. Modified couple stress (MCS) theory and dual phase lag (DPL) conduction are employed in formulating the governing equations. Based on numerical calculations, the influence of various factors like fiber volume fraction, phase lags, and size dependency on the damping effect and frequency shift of the composite can clearly be observed. The potential to optimize the dynamics behavior of the composite through careful material design can be inferred from the current findings. The proposed approach offers a strong base for application oriented studies in multifunctional composites and may prove to be useful in developing smart sensors, micro/nano electromechanical systems (MEMS/NEMS) resonators, energy harvesters, and other adaptive structures.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380515","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
Protective Beam Lattice with Buckling Sacrificial Bonds 具有屈曲牺牲键的保护梁晶格
IF 3 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2026-06-28 DOI: 10.1007/s00161-026-01497-x
Gregory Bolshak, Michael Ryvkin
{"title":"Protective Beam Lattice with Buckling Sacrificial Bonds","authors":"Gregory Bolshak,&nbsp;Michael Ryvkin","doi":"10.1007/s00161-026-01497-x","DOIUrl":"10.1007/s00161-026-01497-x","url":null,"abstract":"<div><p>The paper demonstrates the ability of beam lattices to reduce the amplitude of a wave generated by the external high-pressure impulse. Therefore such lattices are good candidates for the design of protective layers. The suggested lattice design is based on the comprehensive study of basic phenomena in a mass-spring chain with partly breakable springs. The protection is provided by a specific lattice layout architecture with sacrificial beam elements. The distributed damage caused by their failure weakens the lattice material. However, it remains intact, and the pressure applied to one boundary of the layer diminishes at the opposite boundary. The maximum amplitude is defined by the interaction between the waves of three different types: the leading wave propagating in the undamaged lattice, the phase transition wave following the leading wave, and the unloading wave propagating in the damaged lattice toward the phase transition front. Two phase transition zones may be generated, and their influence on the protection effect is examined.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148355585","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
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