Continuum Mechanics and Thermodynamics最新文献_第8页

An interface crack between two elastic semi-planes in the presence of surface energy 在表面能的作用下，两个弹性半平面之间的界面裂纹

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-04-01 DOI: 10.1007/s00161-026-01468-2

Anna Y. Zemlyanova

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On effective stress rate in Non-Linear Continuum Mechanics 非线性连续介质力学中的有效应力率

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-04-01 DOI: 10.1007/s00161-026-01449-5

Marzia Sara Vaccaro, Daniele Ussorio, Raffaele Barretta

{"title":"On effective stress rate in Non-Linear Continuum Mechanics","authors":"Marzia Sara Vaccaro, Daniele Ussorio, Raffaele Barretta","doi":"10.1007/s00161-026-01449-5","DOIUrl":"10.1007/s00161-026-01449-5","url":null,"abstract":"<div><p>Structures undergoing large displacements and deformations are investigated in a differential geometric framework by a <span>(,4)</span>-D <span>Euclid</span> spacetime approach. The developed variational scheme of rate equilibrium leads to the original notion of effective stress rate, which proves useful for addressing applicative problems in Non-Linear Continuum Mechanics. Notably, the rate virtual power principle is exploited according to the presented paradigm and the coordinate-free expression of the effective stress rate for <span>(,3)</span>-D <span>Cauchy</span> continua is contributed. Constitutive relations are formulated as instantaneous incremental responses to a finite set of tensor state variables and to their time convective rates along the motion, namely the (natural) stress state per unit mass, its convective rate and the elastic stretching. Geometrically nonlinear structural problems are addressed by resorting to an integrable and conservative covariant hypo-elasticity model. Specifically, the simplest linear hypo-elastic constitutive law is considered. Particularization to the <span>(,1)</span>-D case of elastic trusses is provided and two variants of the mentioned constitutive relation are examined. A straightforward incremental solution procedure is implemented to solve the nonlinear structural problem of a representative case-study and comparisons with standard finite elasticity strategies are carried out. It is shown that outcomes of conventional methodologies can be recovered for <span>(,1)</span>-D purely elastic structures by implementing the proposed computational strategy. This denouement paves the way for a theoretically and computationally promising formulation of nonlinear elasto-visco-plastic problems, circumventing long-known and debated issues that affect approaches to finite deformations.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 3","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01449-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579185","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}

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Elucidation of metal transfer behavior of metal-cored arc welding under the pulsed welding current 脉冲焊接电流下金属芯弧焊金属转移行为的研究

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-19 DOI: 10.1007/s00161-026-01463-7

Van Hanh Bui, Quang Ngoc Trinh, Shinichi Tashiro, Dang Khoi Le, Kieu Anh Duong Nguyen, Anthony B. Murphy, Kenta Yamanaka, Manabu Tanaka

{"title":"Elucidation of metal transfer behavior of metal-cored arc welding under the pulsed welding current","authors":"Van Hanh Bui, Quang Ngoc Trinh, Shinichi Tashiro, Dang Khoi Le, Kieu Anh Duong Nguyen, Anthony B. Murphy, Kenta Yamanaka, Manabu Tanaka","doi":"10.1007/s00161-026-01463-7","DOIUrl":"10.1007/s00161-026-01463-7","url":null,"abstract":"<div><p>This study investigated the effects of pulsed current under different CO<sub>2</sub> contents in mixture Ar-CO<sub>2</sub> shielding gas on Metal Transfer Frequency (MTF) in Metal-Cored Arc Welding (MCAW) and compared it with Gas Metal Arc Welding (GMAW) using a solid wire. Experiments were conducted for an average current of 250 A with 5–50% CO<sub>2</sub> under DC and DC-pulsed modes. Under DC-pulsed mode, MCAW maintained the MTF of around 190 Hz at 5–20% CO<sub>2</sub> (~ 150% of those under DC mode), gradually decreasing to 76 Hz at 50%, consistently higher than GMAW, particularly at 25–40% CO<sub>2</sub> (higher by ~ 70 Hz). MCAW preserved almost One-Droplet-Per-Pulse (ODPP) up to 35% CO<sub>2</sub>, transitioning to One-Droplet-per-Multi-Pulse (ODMP) beyond this level. The Computational Fluid Dynamics (CFD) simulations at 450 A corresponding to a peak current with Ar <span>(+)</span> 20% CO<sub>2</sub> was also carried out to analyze the effect of the relative axial position of the metal-cored tip to the droplet surface (<i>d</i><sub>f</sub>) on arc pressure beneath the droplet in MCAW. The arc pressure in GMAW was 6339 Pa. In contrast, that in MCAW decreased from 6119 to 4999 Pa with increasing <i>d</i><sub>f</sub> from − 0.1 to 0.1 mm, facilitating easier droplet detachment compared with GMAW due to decrease in current density under the droplet. Consequently, MCAW allowed a wider CO<sub>2</sub> range (~ 75% higher than GMAW) for the stable ODPP transfer and arc behavior, offering a key advantage for reducing welding costs.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560243","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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A thermoelastic microelongated plate in the context of the dual phase lag model loaded with viscous fluid layers 加载粘性流体层的双相滞后模型下的热弹性微拉长板

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-13 DOI: 10.1007/s00161-026-01461-9

Praveen Ailawalia, Marin Marin, Andreas Öchsner

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Efficient numerical method of solution of the one-particle problems for transverse isotropic conductive medium 求解横向各向同性导电介质单粒子问题的有效数值方法

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-13 DOI: 10.1007/s00161-026-01451-x

S. Kanaun

{"title":"Efficient numerical method of solution of the one-particle problems for transverse isotropic conductive medium","authors":"S. Kanaun","doi":"10.1007/s00161-026-01451-x","DOIUrl":"10.1007/s00161-026-01451-x","url":null,"abstract":"<div><p>An isolated heterogeneous inclusion in an infinite homogeneous transverse isotropic conductive medium subjected to an arbitrary external electric (temperature) field is considered. This problem plays an important role in application of self-consistent methods for calculation of effective conductive properties of a wide class of composites materials. Such composites consist of a homogeneous matrix phase (host medium) and a set of isolated inclusions or they are polycrystals, i.e. agglomerations of similar grains of random orientations. Calculation of the electric field in the medium with an isolated inclusion is reduced to a volume integral equation in the region occupied by the inclusion only. For numerical solution, this equation is discretized using special class of approximating functions concentrated at the nodes of a regular grid covered the inclusion domain. For such functions, the elements of the matrices of the discretized problem have form of 1D-integrals that can be tabulated. In addition, these matrices have Toeplitz' structures, and therefore, fast Fourier transform algorithms can be used for iterative solution of the discretized problems. The method is applied to calculation of the tensors that define contribution of individual inclusions in the effective conductive properties of the composites.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441565","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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Bending analysis of rectangular sandwich plates with arbitrary internal elastic and boundary supports 具有任意内弹性和边界支承的矩形夹层板的弯曲分析

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-11 DOI: 10.1007/s00161-026-01459-3

Guanghui Cheng, Liang Shi, Xun Pan

{"title":"Bending analysis of rectangular sandwich plates with arbitrary internal elastic and boundary supports","authors":"Guanghui Cheng, Liang Shi, Xun Pan","doi":"10.1007/s00161-026-01459-3","DOIUrl":"10.1007/s00161-026-01459-3","url":null,"abstract":"<div><p>Honeycomb Sandwich Plates with Elastic Supports (HSPEs) are widely employed in aerospace, construction, and marine engineering due to their lightweight design, high strength, and vibration isolation capabilities. In this study, a composite spring-shell cell model is proposed for analyzing the geometrically nonlinear behavior of sandwich panels containing arbitrarily distributed internal and edge elastic supports. The equivalent elastic parameters are obtained based on the homogenization method, the nonlinear constitutive equations are constructed by combining the third-order shear deformation theory with the Green–Lagrange strain tensor, and the unit stiffness matrix is derived by the principle of virtual work. The elastic support stiffness is further superimposed on the unit stiffness matrix of the sandwich panel to form the overall stiffness matrix of the HSPE system. The accuracy of the proposed method in predicting displacement responses is verified by comparison with finite element method results. In addition, the coupled effects of boundary conditions, geometrical parameters, internal support locations and stiffness, and transversely distributed loads on the nonlinear bending behavior of rectangular honeycomb sandwich panels are systematically investigated. It is shown that the model can accurately capture the local and global deformation characteristics under different support conditions, which provides an efficient analysis tool for the engineering design and optimization of HSPEs.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441098","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

Flat indentation on a transversely isotropic functionally gradient thin film over a homogeneous substrate with an imperfect interface 在具有不完美界面的均匀基底上的横向各向同性功能梯度薄膜上的扁平压痕

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-09 DOI: 10.1007/s00161-026-01452-w

Kaifu Liu, Zhijie Jin, Zhiqing Zhang, Ernian Pan

{"title":"Flat indentation on a transversely isotropic functionally gradient thin film over a homogeneous substrate with an imperfect interface","authors":"Kaifu Liu, Zhijie Jin, Zhiqing Zhang, Ernian Pan","doi":"10.1007/s00161-026-01452-w","DOIUrl":"10.1007/s00161-026-01452-w","url":null,"abstract":"<div><p>The indentation response of rigid flat indenters on a transversely isotropic (TI) functionally graded (FG) thin film is of great significance in many engineering fields. Multi-layer structures are often employed to approximate FG materials; however, this approach, together with the low computational efficiency in the accurately self-adaptive semi-infinite integration algorithm, has led to high computational costs in previous analyses. To address these limitations, we develop an indentation response model for a flat indenter acting on an FG thin film bonded to a homogeneous substrate with an imperfect interface. The model employs the novel Fourier–Bessel series (FBS) system of vector functions to derive the Green’s function solution, in which the field quantities are expanded as discrete Love numbers, enabling accurate results through simple summation. The resulting Green’s function is then combined with a boundary discretization scheme to obtain the indentation response. The developed model is first validated against existing solutions for a flat indenter on a transversely isotropic elastic half-space. The superior computational efficiency of the present study is demonstrated by comparison with the previous benchmark solution. Parametric studies are subsequently carried out to examine the influence of the gradient index and interface imperfections on the indentation response. Results demonstrate that the thin-film material properties and the degree of interface imperfection are decisive in governing the indentation behavior. The proposed model offers valuable insights for the design and optimization of the FG thin-film.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147440981","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

Bench-mark potential problems for plane with impermeable arc 对具有不透水弧面的飞机的潜在问题进行基准测试

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-03-06 DOI: 10.1007/s00161-026-01462-8

Aleksandr Linkov, Ewa Rejwer-Kosińska, Liliana Rybarska-Rusinek, Anastasia Dobroskok

{"title":"Bench-mark potential problems for plane with impermeable arc","authors":"Aleksandr Linkov, Ewa Rejwer-Kosińska, Liliana Rybarska-Rusinek, Anastasia Dobroskok","doi":"10.1007/s00161-026-01462-8","DOIUrl":"10.1007/s00161-026-01462-8","url":null,"abstract":"<div><p>As evidently demonstrated by Professor Mark Kachanov, micromechanics of averages cannot predict fracture phenomena, which are governed by <i>extreme</i> rather than <i>average</i> values of physical fields. The study of extremes involves <i>tails</i> of statistical distributions. To date, research in this area has been limited to 2D problems. Extensions to 3D problems have been hindered primarily by the presence of finite part (Hadamard) integrals in the boundary integral equations, whose solutions define the key characteristics of the field strength—the field/stress intensity factors (FIF). This difficulty has now been overcome by the tangent plane approach, which simplifies the evaluation of finite-part integrals to the level of proper integrals.</p><p>Meanwhile, the few publications, addressing FIFs at surface edges in 3D, do not provide reliable methods for accurate evaluation. Developing such methods remains an important task, requiring comparison of results from repeated numerical experiments with accurate or exact solutions to bench-mark problems. These benchmarks should be representative and correspond to 3D cases while maintaining minimal computational complexity to reduce time cost.</p><p>The present work addresses this need by providing accurate numerical and exact analytical values of FIFs for an impermeable arc in an infinite plane under a prescribed flux at infinity. These results serve as benchmarks for comparison with the FIFs at the midpoint of an impermeable cylindrical surface whose cross-section corresponds to the arc.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362993","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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Dynamics of a FGM thin elastic coating subject to anti-plane shear 反平面剪切作用下FGM薄弹性涂层的动力学研究

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-02-26 DOI: 10.1007/s00161-026-01458-4

Nihal Ege, Barış Erbaş, Julius Kaplunov

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Application of the memory-dependent derivative to a nonlocal thermoelastic problem with a new version of a nonlinear memory kernel 具有新版本非线性记忆核的记忆相关导数在非局部热弹性问题中的应用

IF 2.2 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-02-24 DOI: 10.1007/s00161-026-01457-5

Subhadip Karmakar, Smita Pal Sarkar

{"title":"Application of the memory-dependent derivative to a nonlocal thermoelastic problem with a new version of a nonlinear memory kernel","authors":"Subhadip Karmakar, Smita Pal Sarkar","doi":"10.1007/s00161-026-01457-5","DOIUrl":"10.1007/s00161-026-01457-5","url":null,"abstract":"<div><p>This study formulates a new version of a nonlinear memory kernel within the framework of the memory-dependent derivative and applies it to a two-dimensional nonlocal thermoelastic problem subjected to a heat source, using the dual phase lag model. The rationale for introducing the new version of the memory kernel is underpinned by a comprehensive literature review that brings to light the established advantages of a nonlinear quadratic kernel. A semi-analytical method is used to determine the thermophysical quantities by bringing in suitable potential functions into the analysis. The governing equations are first transformed using Laplace and Fourier integral transforms, and numerical inversion techniques are then employed to retrieve the solutions in the physical domain. Recognizing the crucial influence that kernel functions exert in the structure of memory-dependent derivative, this work undertakes a comparative analysis of two distinct generalized thermoelastic models, focusing on how variations in kernel formulations impact the resulting thermophysical behavior. The results under nonlocal influences have been examined for two distinct thermoelastic models. The influence of the memory-dependent derivative is evaluated by presenting results obtained without it and comparing them with those that incorporate its effect.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147287141","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