Continuum Mechanics and Thermodynamics最新文献_第2页

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}

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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

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Stability of rectangular bar with distributed dislocations 分布位错矩形杆的稳定性

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-27 DOI: 10.1007/s00161-025-01377-w

Evgeniya V. Goloveshkina, Leonid M. Zubov

{"title":"Stability of rectangular bar with distributed dislocations","authors":"Evgeniya V. Goloveshkina, Leonid M. Zubov","doi":"10.1007/s00161-025-01377-w","DOIUrl":"10.1007/s00161-025-01377-w","url":null,"abstract":"<div><p>The problem of the influence of distributed dislocations on the equilibrium stability of a rectangular bar loaded with a longitudinal force is investigated. In the subcritical (unperturbed) state, the body experiences a finite plane inhomogeneous deformation. The dislocation density tensor depends on the coordinate measured along the bar thickness and has only one nonzero component corresponding to the distribution of edge dislocations. Within the framework of the compressible semilinear material model, the unperturbed state is defined as an exact solution to the equations of the nonlinear continuum theory of dislocations. Stability analysis is performed using the Euler bifurcation method, which consists in finding nontrivial solutions to the linearized homogeneous boundary value problem of the equilibrium of a prestressed elastic body. The influence of different types of dislocation distribution on the critical values of the longitudinal force and the form of stability loss of the bar is studied. It is established, in particular, that dislocations significantly affect the number of waves along the length of the bar, characterizing the form of stability loss.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 3","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143717047","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

Exact hydrodynamic manifolds for the linear Boltzmann BGK equation II: spectral closure 线性Boltzmann BGK方程的精确流体动力流形II：谱闭包

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-25 DOI: 10.1007/s00161-025-01379-8

Florian Kogelbauer, Ilya Karlin

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Visual tracking of plate compactor trajectories and soil compaction through metamaterial-inspired approach 通过超材料启发方法对板式压实机轨迹和土壤压实进行视觉跟踪

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-21 DOI: 10.1007/s00161-025-01374-z

A. Kwaśniewski, S. Bak, P. Ciężowski, L. Knap, J. Maciejewski, M. Bialas, M. Spagnuolo

引用次数: 0

Compatibility equations, generalized Cesaro’s equations and expansion effects of spacetime 相容方程，广义Cesaro方程和时空的膨胀效应

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-18 DOI: 10.1007/s00161-025-01370-3

P. Belov, S. Lurie

{"title":"Compatibility equations, generalized Cesaro’s equations and expansion effects of spacetime","authors":"P. Belov, S. Lurie","doi":"10.1007/s00161-025-01370-3","DOIUrl":"10.1007/s00161-025-01370-3","url":null,"abstract":"<div><p>A kinematic model of 4D continuum with different types of symmetry is introduced and a unified kinematic model of long-range electromagnetic and gravitational fields is proposed. We define the 4D vector potential, introduce 4D distortion tensor, and show that its antisymmetric part gives the classical definition of the electric field intensity vector and the pseudovector of magnetic induction. On the other hand, the symmetric part of the distortion tensor is interpreted as the gravitational field intensity. The structure of the gravitational field kinematic model is analyzed. For the 4D continuum, generalized compatibility equations are established including homogeneous Papkovich and Saint-Venant relations. It is shown that homogeneous Saint-Venant relations can be also integrated in quadrature’s respect to the 4D spherical deformation tensor, which can be defined through an integro-differential operator applied only to the components of the deviator tensor. We show that 4D Cesaro equations indicate the existence of two kinematic states in the spacetime in the absence of the strain deviator tensor. The first kinematic state proves the existence of an expansion metric effect of the 4D continuum since the speed of the observed point is always proportional to the distance to it. The second kinematic state indicates a purely geometric effect of uniformly accelerated expansion of event space.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638553","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 stripe domains in nematic LCEs by means of a dynamic numerical framework 用动态数值框架分析向列LCEs的条纹域

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-14 DOI: 10.1007/s00161-025-01376-x

Francesca Concas, Michael Groß

{"title":"Analysis of stripe domains in nematic LCEs by means of a dynamic numerical framework","authors":"Francesca Concas, Michael Groß","doi":"10.1007/s00161-025-01376-x","DOIUrl":"10.1007/s00161-025-01376-x","url":null,"abstract":"<div><p>Liquid crystal elastomers are a class of materials which shows unusual characteristics due to its dual nature, i.e. the orientational behavior of liquid crystals combined with the intrinsic features of elastomers. Apart from inhomogeneities, the mesogens, which are linked to the polymer chains in LCEs and are modeled as a unit nematic director, are oriented along a unique direction in case of a monodomain sample. Among other remarkable properties, LCEs exhibit a particular behavior under mechanical stretching, such as the semisoft elastic response and the onset of stripe domains in the originally monodomain sample under certain conditions. As observed in experiments, in a sample with stripe domains the mesogens of two adjacent stripes are rotated through the same angle but with opposite senses of rotation. We aim to reproduce the stripe domains in nematic LCEs under mechanical stretch and high strain rates by using a dynamic three-dimensional mixed finite element formulation, which is based on the usage of a mixed principle of virtual power, local drilling degrees of freedom for LCE-network and mesogens and frame-indifferent free energy density functions based on tensor invariants associated with the mixed fields.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-025-01376-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612337","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

On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer 用弹性薄层评价声辐射的近似格式

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-12 DOI: 10.1007/s00161-025-01365-0

Julius Kaplunov, Ludmila Prikazchikova, Sheeru Shamsi

引用次数: 0

Modeling the kinetics of stress–strain state and damage accumulation in structural alloys under the mutual influence of fatigue and creep 建立了疲劳和蠕变共同作用下结构合金应力-应变状态和损伤积累动力学模型

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-12 DOI: 10.1007/s00161-025-01371-2

L. A. Igumnov, I. A. Volkov, A. I. Yudintseva, A. I. Volkov

{"title":"Modeling the kinetics of stress–strain state and damage accumulation in structural alloys under the mutual influence of fatigue and creep","authors":"L. A. Igumnov, I. A. Volkov, A. I. Yudintseva, A. I. Volkov","doi":"10.1007/s00161-025-01371-2","DOIUrl":"10.1007/s00161-025-01371-2","url":null,"abstract":"<div><p>The corresponding mathematical model of cyclic viscoplastic deformation of damaged material, a structural element counteracting multiaxial disproportionate modes of hybrid thermomechanical loading, is considered. The model is determined by the relations between viscoplastic deformation and failure, as well as the evolution equations of damage accumulation kinetics and the material strength criterion. The description of viscoplastic deformation is based on the existence of plasticity and creep surfaces in the stress space and the principle of gradient of the velocity vectors of the corresponding deformations at the loading point. Such a description distinguishes the main effects of the cyclic behaviour of the material for complex loading trajectories. The description of kinetic damage accumulation is based on the scalar damage parameter. The formation, growth and coalescence of micro-defects are considered. A coupled formulation of the evolution equations for low-cycle fatigue and long-term strength is proposed. The condition that the damage value reaches a critical value is taken as the strength criterion. In the work, material parameters and scalar functions of the mathematical model are obtained. Based on the model, the results of the numerical simulation of the behaviour of the alloys are presented. It is shown that the model describes the durability of the materials with practical reliability.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143602099","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 three-dimensional, continuum mechanical model for additively manufactured polyamide 12 增材制造聚酰胺12的三维连续力学模型

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2025-03-11 DOI: 10.1007/s00161-025-01369-w

Dominik Hahne, Michael Johlitz, Alexander Lion

{"title":"A three-dimensional, continuum mechanical model for additively manufactured polyamide 12","authors":"Dominik Hahne, Michael Johlitz, Alexander Lion","doi":"10.1007/s00161-025-01369-w","DOIUrl":"10.1007/s00161-025-01369-w","url":null,"abstract":"<div><p>Polyamide 12 (PA12) is a semi-crystalline thermoplastic used in the automotive and aerospace industries due to its high resistance to chemicals and abrasion and its good thermal stability. The material can be processed with various manufacturing technologies, including selective laser sintering (SLS), which offers great potential for industrial production due to its excellent and reproducible mechanical properties and thus motivates a detailed understanding of the mechanical behavior. This paper presents an approach for modeling the mechanical behavior of selectively laser-sintered polyamide 12. A continuum mechanical model is developed based on a comprehensive temperature and velocity-controlled experimental program, and its parameters are identified. After presenting the test specimens developed in-house, which utilized the geometric freedom of the SLS process, the kinematic description of the test specimens and the digital image correlation technique used for this purpose are discussed. The experimental test results are then presented, which consist of relaxation tests and experiments with a constant strain rate at various temperatures. After the two material-theoretical approaches of linear viscoelasticity and endochronic plasticity have been presented, the material model is derived in three dimensions, and the parameters are identified.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594771","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