Continuum Mechanics and Thermodynamics最新文献

A functionally graded hydro-poroelastic semiconductor material subjected to photo-thermoelasticity theory 基于光热弹性理论的功能梯度水孔弹性半导体材料

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-05-15 DOI: 10.1007/s00161-025-01387-8

Marwa H. R. Ahmed, Shreen El-Sapa, Alaa A. El-Bary, Khaled Lotfy

{"title":"A functionally graded hydro-poroelastic semiconductor material subjected to photo-thermoelasticity theory","authors":"Marwa H. R. Ahmed, Shreen El-Sapa, Alaa A. El-Bary, Khaled Lotfy","doi":"10.1007/s00161-025-01387-8","DOIUrl":"10.1007/s00161-025-01387-8","url":null,"abstract":"<div><p>This paper presents a theoretical investigation of a functionally graded hydro-poroelastic semiconductor material subjected to photo-thermoelasticity theory. The material properties, including thermal conductivity, elasticity, and porosity, are assumed to vary spatially following a functionally graded distribution. A one-dimensional problem is formulated to analyze the coupled interactions between the hydro-semiconductor medium’s thermal, mechanical, and electronic transport phenomena. The governing equations incorporate hydrodynamic effects, poroelasticity, and semiconductor carrier transport under the influence of thermal and photonic excitation. The Laplace transform technique is employed to obtain analytical solutions in main physical fields. Numerical results are derived using inverse Laplace transformation, and the effects of functionally graded parameters on wave propagation and heat transport are examined. Graphical analysis illustrates the impact of grading index and porosity on the material’s response. The results highlight the significance of functional grading in tailoring the behavior of hydro-poroelastic semiconductors for advanced technological applications, including optoelectronic devices, photodetectors, and thermal management systems.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949699","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 continuum thermodynamic approach to the phase-field method: the order parameter as internal state variable

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-05-14 DOI: 10.1007/s00161-025-01383-y

Andreas Prahs, Daniel Schneider, Britta Nestler

{"title":"A continuum thermodynamic approach to the phase-field method: the order parameter as internal state variable","authors":"Andreas Prahs, Daniel Schneider, Britta Nestler","doi":"10.1007/s00161-025-01383-y","DOIUrl":"10.1007/s00161-025-01383-y","url":null,"abstract":"<div><p>The phase-field method is well established for simulating microstructure evolution in computational materials science, providing a numerically efficient tracking of interfaces and surfaces by means of an order parameter. The derivation of its evolution equation is usually based on a variational approach or a corresponding principle of virtual power. Both approaches consider the order parameter as an additional degree of freedom and assume a diffuse interface region from the outset. This work examines the interpretation of the order parameter as an internal state variable, instead of an additional degree of freedom, since it represents an observable rather than a controllable quantity. Furthermore, the phase-field method is considered as an approximation of the sharp interface theory of a continuum containing a singular surface. A Cauchy continuum with a material singular surface is considered as starting point. The evolution equation of the order parameter is derived consistently in the context of continuum thermodynamics by exploitation of the Clausius–Duhem inequality. In this context, the equation of heat conduction and the thermomechanical coupling is discussed regarding the diffuse interface region and the role of the latent heat due to phase evolution. Based on restrictions of the free energy, special cases of the evolution equation are presented. For a special case, the coincidence of the evolution equation obtained by the presented approach and the classical variational approach is demonstrated. Based on the presented approach, the classical Allen–Cahn/Ginzburg–Landau equation is obtained by assuming a spatially homogeneous temperature distribution.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-025-01383-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944388","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

Asymptotic behaviour of throughflow solutions in the class of Jeffreys fluids Jeffreys流体中通流解的渐近行为

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-05-06 DOI: 10.1007/s00161-025-01384-x

G. Arnone, F. Capone, R. De Luca, J. A. Gianfrani, F. Iovanna

引用次数: 0

A novel class of electro-mechanical metamaterials for stress reduction through electric fields 一种新型的通过电场减少应力的机电超材料

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-30 DOI: 10.1007/s00161-025-01385-w

Mischa Blaszczyk, Klaus Hackl

引用次数: 0

Modeling and identification of residual stress fields in cylinders and plates 圆柱和板内残余应力场的建模与识别

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-27 DOI: 10.1007/s00161-025-01388-7

Rostislav Nedin, Alexander Vatulyan

引用次数: 0

Investigating nonlinear buckling and post-buckling characteristics of functionally graded porous cylindrical shells under external pressure and thermal conditions 研究了在外压力和热条件下功能梯度多孔圆柱壳的非线性屈曲和后屈曲特性

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-26 DOI: 10.1007/s00161-025-01382-z

Habib Talati, Alireza Shaterzadeh

{"title":"Investigating nonlinear buckling and post-buckling characteristics of functionally graded porous cylindrical shells under external pressure and thermal conditions","authors":"Habib Talati, Alireza Shaterzadeh","doi":"10.1007/s00161-025-01382-z","DOIUrl":"10.1007/s00161-025-01382-z","url":null,"abstract":"<div><p>This paper investigates the post-buckling behavior of functionally graded porous (FGP) perfect/imperfect cylindrical shells under external pressure in a thermal environment. The properties of these porous cylindrical shells are assumed to be temperature-dependent, determined using the modified rule of mixture and Touloukian formulation. The governing equations are derived from classical shell theory and von Kármán-Donnell’s type of kinematic nonlinearity. The boundary layer theory of shell buckling, which accounts for nonlinear prebuckling deformations, large deflections in the post-buckling range, and initial geometric imperfections, is extended to FGP cylindrical shells. A two-step perturbation approach is employed to solve the post-buckling problem, determining the buckling loads and post-buckling equilibrium paths. Numerical parametric analysis, including three types of porosity distribution, is conducted to examine the effects of shell geometric parameters, material properties, and temperature rise on the post-buckling behavior of the FGP cylindrical shell. Numerical results indicate that the current method effectively and accurately resolves the problem, aligning with literature findings. It is observed that increases in geometric parameters related to length, radius-to-thickness ratio, porosity volume fraction, functionally graded volume fraction index, and temperature lead to a decrease in post-buckling load. Additionally, it is demonstrated that the porosity index significantly influences the post-buckling path of an FGP cylindrical shell.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 3","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877713","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

Electro-induced nonlinear stability of graphene platelets reinforced functionally graded dielectric plate 石墨烯平板强化功能梯度电介质板的电致非线性稳定性

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-23 DOI: 10.1007/s00161-025-01381-0

Jinghua Zhang, Haorui Ren

{"title":"Electro-induced nonlinear stability of graphene platelets reinforced functionally graded dielectric plate","authors":"Jinghua Zhang, Haorui Ren","doi":"10.1007/s00161-025-01381-0","DOIUrl":"10.1007/s00161-025-01381-0","url":null,"abstract":"<div><p>The stability of composite structures are fundamental problems in continuum mechanics. In present study, considering piezoelectric and electrostrictive effects simultaneously, electro-induced nonlinear buckling and post-buckling characteristics of graphene platelets (GPL) reinforced functionally graded dielectric circular plates are examined. Firstly, equivalent dielectric constant and Young’s modulus of the intelligent composites with different GPL distribution patterns are calculated according to effective medium theory, in which the gradient characteristics, the imperfect combination between reinforcements and matrix, the interface electron tunnel and the Maxwell–Wagner–Silla polarization are considered. Then, the nonlinear displacement governing differential equations are derived according to von Kármán nonlinear plate theory and virtual work principle and solved by shooting method for different boundary conditions. The buckling critical voltage and post-buckling deflection-voltage path under various conditions are obtained. Finally, the effects of distribution pattern, gradient slope and geometrical dimension parameters of GPL, as well as interface phase size on the critical electrical parameters and post-buckling characteristics are examined by cross-scale analysis between micro and macro in detail. This research may offer theoretical guidance value for the engineering design of the intelligent structures.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 3","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143861205","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

On an extended Hamilton principle for electro/magneto-thermo-mechanical materials with dissipative microstructure evolution 电/磁-热-机械材料耗散微观结构演化的扩展Hamilton原理

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-12 DOI: 10.1007/s00161-025-01373-0

Sebastian Wolf, Philipp Junker

引用次数: 0

Size-dependent analysis of thermoelastic damping in small-scaled circular plates using the Moore–Gibson–Thompson thermoelasticity theory: frequency and energy approaches 基于Moore-Gibson-Thompson热弹性理论的小型圆板热弹性阻尼的尺寸依赖性分析：频率和能量方法

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-07 DOI: 10.1007/s00161-025-01378-9

Paul Rodrigues, Ankur Kulshreshta, M. K. Ranganathaswamy, Vikasdeep Singh Mann, Ruby Pant, Rajaa Jasim Mohammed, Ambati Vijay Kumar, Mansurov Zuxriddin Xalilillayevich, Nouby M. Ghazaly, Carlos Rodriguez-Benites

{"title":"Size-dependent analysis of thermoelastic damping in small-scaled circular plates using the Moore–Gibson–Thompson thermoelasticity theory: frequency and energy approaches","authors":"Paul Rodrigues, Ankur Kulshreshta, M. K. Ranganathaswamy, Vikasdeep Singh Mann, Ruby Pant, Rajaa Jasim Mohammed, Ambati Vijay Kumar, Mansurov Zuxriddin Xalilillayevich, Nouby M. Ghazaly, Carlos Rodriguez-Benites","doi":"10.1007/s00161-025-01378-9","DOIUrl":"10.1007/s00161-025-01378-9","url":null,"abstract":"<div><p>Understanding and accurately quantifying thermoelastic damping (TED) in micro/nanoresonators is a major step in designing them to work well. Empirical and theoretical evidence suggests that classical elasticity theory (CET) and the Fourier heat equation break down when applied to structures with minuscule dimensions. This research presents an innovative framework to approximate TED value in miniature circular plates by leveraging both the frequency and energy-based approaches commonly applied in TED studies. The model incorporates the modified couple stress theory (MCST) and Moore–Gibson–Thompson (MGT) heat equation to enhance accuracy beyond the constraints of classical formulation at ultra-small scales. Non-classical constitutive relations and heat equation are firstly derived. Next, the MGT heat conduction equation is solved to determine the temperature distribution within the plate. In conclusion, TED is analytically formulated using two distinct approaches of frequency and energy. The agreement between these two approaches in yielding identical TED expressions reinforces the accuracy of the computations and the credibility of the developed model. The discussion in the numerical results section highlights the influence of essential parameters, especially the characteristic constants of the MCST and MGT model, on TED. The results indicate that while MCST reduces TED and the MGT model increases it, the classical framework, grounded in CET and the Fourier model, predicts a higher TED than the non-classical framework proposed in this study. This suggests that the reduction caused by MCST outweighs the increase due to the MGT model.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 3","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143790176","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

On a BIE for a 2D flow of viscous fluid around a round cylinder, with specific Green’s function 二维粘性流体绕圆圆柱流动的BIE，具有特定的格林函数

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-04-03 DOI: 10.1007/s00161-025-01380-1

Mezhlum Sumbatyan, Rafael Zakaryan

引用次数: 0