Continuum Mechanics and Thermodynamics最新文献

Unified analysis of stiffening and weakening size effects in nanobeams on Winkler–Pasternak foundations via local/nonlocal stress gradient elasticity 基于局部/非局部应力梯度弹性的纳米梁在Winkler-Pasternak基础上的加劲和弱化效应的统一分析

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-12 DOI: 10.1007/s00161-026-01537-6

Akbar Hassanpour, Hamid M. Sedighi, Victor A. Eremeyev

{"title":"Unified analysis of stiffening and weakening size effects in nanobeams on Winkler–Pasternak foundations via local/nonlocal stress gradient elasticity","authors":"Akbar Hassanpour, Hamid M. Sedighi, Victor A. Eremeyev","doi":"10.1007/s00161-026-01537-6","DOIUrl":"10.1007/s00161-026-01537-6","url":null,"abstract":"<div><p>The free transverse vibration of Rayleigh nanobeams resting on a Winkler-Pasternak two-parameter elastic foundation is investigated within the local/nonlocal stress-driven gradient (LNStressG) elasticity framework. The constitutive model incorporates three length-scale parameters—the nonlocal characteristic length <span>({L}_{C})</span>, stress-gradient length scale <span>({L}_{l})</span>, and mixture parameter <span>(alpha)</span>—to capture both stiffness-stiffening and stiffness-weakening size-dependent responses within a thermodynamically consistent formulation. The model is validated against three independent benchmark solutions, achieving excellent agreement with the reference results. Four model hierarchies are systematically examined for clamped–clamped and pinned–pinned boundary conditions: the classical Rayleigh beam, purely stress-driven nonlocal model, two-phase local/nonlocal stress-driven model, and full LNStressG model. The Winkler and Pasternak parameters consistently increase stiffness, with the strongest influence observed in the fundamental mode of pinned–pinned beams and diminishing effects at higher modes as nonlocal constitutive stiffness dominates. The purely stress-driven nonlocal model exhibits exclusively stiffening behavior, whereas the full LNStressG model reveals competing effects: increasing <span>({L}_{C})</span> stiffens the response, while increasing <span>({L}_{l})</span> softens it. Their relative influence depends on mode number, boundary condition, and <span>(alpha)</span>. The results provide insight into substrate–size-effect interactions in nanobeam resonators, mass sensors, and energy harvesters.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01537-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189180","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

Heating of a semi-infinite Hooke chain 半无限胡克链的加热

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-08 DOI: 10.1007/s00161-026-01536-7

Sergei D. Liazhkov

{"title":"Heating of a semi-infinite Hooke chain","authors":"Sergei D. Liazhkov","doi":"10.1007/s00161-026-01536-7","DOIUrl":"10.1007/s00161-026-01536-7","url":null,"abstract":"<div><p>We investigate unsteady ballistic heat transport in a semi-infinite Hooke chain with a free end subjected to an arbitrary heat source. We derive an exact integral representation for the kinetic temperature, together with a weak-dissipation lattice approximation and two continuum-type descriptions. The continualization of the discrete solution for the kinetic temperature in the weakly dissipative limit is obtained in two representations. The first is a symmetrical continuum solution based on an even extension of the source with respect to the boundary. The second is a discrete-continuum solution derived by applying a large-time asymptotic approximation to the fundamental solution at the fronts of the incident and reflected thermal waves in an instantaneously perturbed conservative semi-infinite chain. This solution retains a contribution from the interaction of the incident and reflected waves, which is absent in the symmetrical continuum solution. Analysis of sudden point heat supply indicates that, even in the non-dissipative chain, the discrete solution for the kinetic temperature exhibits pronounced large-time slowing near the free end, consistent with a local nonequilibrium plateau, whereas the symmetrical continuum representation predicts unbounded logarithmic growth. The results are expected to provide a benchmark for continuum models of heat transport in lattices with a free boundary.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149130419","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

Nonlinear thermoelasticity within dual-phase-lag 双相滞后条件下的非线性热弹性

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-08 DOI: 10.1007/s00161-026-01534-9

Asmaa Fawzy, E. K. Rawy, W. Mahmoud, A. F. Ghaleb

引用次数: 0

Nonlinear aero-thermal-induced vibrations of functionally graded beams using a quasi-3D beam formulation 用准三维梁公式研究功能梯度梁的非线性气动热激振动

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-08 DOI: 10.1007/s00161-026-01535-8

A. Mirsabetnazar, M. Faraji Oskouie, R. Ansari

{"title":"Nonlinear aero-thermal-induced vibrations of functionally graded beams using a quasi-3D beam formulation","authors":"A. Mirsabetnazar, M. Faraji Oskouie, R. Ansari","doi":"10.1007/s00161-026-01535-8","DOIUrl":"10.1007/s00161-026-01535-8","url":null,"abstract":"<div><p>In the present work, the nonlinear responses of functionally graded beams experiencing large-amplitude vibrations under simultaneous aerodynamic excitation and rapid thermal loading are analyzed. Both thermal and mechanical material characteristics are considered to change continuously along the beam thickness. The temperature distribution is determined by solving the one-dimensional heat conduction equation in the thickness direction. The aerodynamic pressure effects are represented using the modified form of the third-order piston theory. Furthermore, the material properties are defined as functions of both the temperature field and the coordinate across the thickness, where the gradation is described by Voigt’s homogenization scheme, and the temperature dependency is introduced through the higher-order Touloukian model. To account for thickness-direction tension, the displacement field is defined using a quasi-3D theory incorporating a thickness-stretching parameter and a third-order shape function as proposed by Reddy. The strain components are then derived, including the von Kármán geometric nonlinearity. Using Hamilton’s variational principle, the motion equations are derived and expressed within a matrix formulation based on the VDQ approach, followed by spatial discretization. The temporal discretization is carried out through the implicit Newmark time-integration algorithm, enabling numerical computation of the structural response. A detailed parametric investigation is then performed to examine how primary design and environmental variables—such as flow velocity, geometric slenderness, imposed temperature field, and the material gradation index—influence the nondimensional transverse displacement of the beam.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149130529","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

Comparative numerical assessment of SPH, EFG, and SPG methods for orthogonal cutting of steel SPH、EFG和SPG方法在钢的正交切削中的比较数值评估

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-06 DOI: 10.1007/s00161-026-01530-z

Ibodulloev Sherzod, Turaev Umarkhon

{"title":"Comparative numerical assessment of SPH, EFG, and SPG methods for orthogonal cutting of steel","authors":"Ibodulloev Sherzod, Turaev Umarkhon","doi":"10.1007/s00161-026-01530-z","DOIUrl":"10.1007/s00161-026-01530-z","url":null,"abstract":"<div><p>Orthogonal cutting of steel involves severe plastic deformation, high strain rates, and localised heating–conditions that make quantitative numerical prediction challenging. This study presents a systematic, fully controlled comparison of three mesh-free methods—Smoothed Particle Hydrodynamics (SPH), Element-Free Galerkin (EFG), and Smoothed Particle Galerkin (SPG)—implemented in LS-DYNA under identical Johnson–Cook constitutive parameters (A = 553 MPa, B = 601 MPa, n = 0.234, C = 0.0134, m = 1.0, <i>Tm</i> = 1480 °C), boundary conditions, and nodal distance (0.40 mm). SPG predicts the main cutting force with an average deviation of 2.2% from experimental data (vs. 6.5% for EFG and 8.1% for SPH) and achieves the lowest force oscillation (CV = 4.2% vs. 6.8% and 15.3%). The strong correlation between equivalent plastic strain and temperature confirms physically consistent thermomechanical coupling in SPG. A bond-based damage criterion (FS = 0.2) enables natural chip separation without external fracture tracking, in contrast to EFG (no intrinsic fracture) and SPH (tensile instability). Drawing on the cutting speed ratio concept of Ling et al. (J Manuf Process, 119:68–82) for vibration-assisted cutting, we define an effective separation ratio <span>({k}_{eff})</span> for each method: SPG exhibits <span>({k}_{text{e}text{f}text{f}}approx 0.67)</span>, indicative of a near-separated cutting regime that reduces forces and improves surface quality, whereas SPH and EFG operate in the near-continuous regime (<span>(k_{{{text{eff}}}} approx 0.9 - 1.0)</span>). SPG is recommended as the most reliable mesh-free framework for industrial machining simulations involving large deformation and fracture.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149090051","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

Effective Young’s modulus of a unidirectional fiber reinforced composite: a mean Green operator interpretation 单向纤维增强复合材料的有效杨氏模量：平均格林算符解释

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-10-05 DOI: 10.1007/s00161-026-01531-y

Mario Spagnuolo, Giulio Sanna, Salma Barboura, Flavio Stochino

{"title":"Effective Young’s modulus of a unidirectional fiber reinforced composite: a mean Green operator interpretation","authors":"Mario Spagnuolo, Giulio Sanna, Salma Barboura, Flavio Stochino","doi":"10.1007/s00161-026-01531-y","DOIUrl":"10.1007/s00161-026-01531-y","url":null,"abstract":"<div><p>Experimental measurements of the effective Young’s modulus of an unidirectional composite obtained by embedding 3D-printed PLA–CF fibers in a cold-curing polyurethane elastomeric matrix are presented. Specimens with a controlled number of aligned fibers were tested in uniaxial compression along the direction of alignment. The force-displacement records were processed with a routine that identifies the linear loading regime, converts it to stress–strain through the specimen geometry, and returns the longitudinal modulus together with a combined uncertainty built from the repeatability of multiple tests and from the scatter of the experimental curve. The measured modulus increases monotonically, on average, with the fiber volume fraction, yet remains several orders of magnitude below the modulus of the fiber material. Finally, the data are interpreted within a mean Green-operator (mGo) based Ponte-Castañeda and Willis homogenization scheme, which provides the full anisotropic effective moduli.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01531-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149089604","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

Studies on the impact of a soft elastic infill on the mechanical properties and synergy effect of double-arrowhead honeycomb composites 软弹性填料对双箭头蜂窝复合材料力学性能及协同效应的影响研究

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-09-26 DOI: 10.1007/s00161-026-01532-x

Robert Panowicz, Marcin Konarzewski

引用次数: 0

On nth order linear strain gradient viscoelasticity 在n阶线性应变梯度上粘弹性

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-09-25 DOI: 10.1007/s00161-026-01528-7

Inna A. Eremeeva, Francesco D’Annibale

引用次数: 0

Mechanically active stress model for linear compressible nth-gradient viscous fluids 线性可压缩n梯度粘性流体的机械主动应力模型

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-09-23 DOI: 10.1007/s00161-026-01529-6

Carmine Di Nucci, Piera Fischione, Kamil Urbanowicz, Daniele Celli, Marcello Di Risio

{"title":"Mechanically active stress model for linear compressible nth-gradient viscous fluids","authors":"Carmine Di Nucci, Piera Fischione, Kamil Urbanowicz, Daniele Celli, Marcello Di Risio","doi":"10.1007/s00161-026-01529-6","DOIUrl":"10.1007/s00161-026-01529-6","url":null,"abstract":"<div><p>Selected results from the literature on first-, second- and third-gradient models for linear compressible viscous fluids (with constant phenomenological coefficients) are reinterpreted to propose a phenomenological model for <i>n</i>th-gradient fluids. The constitutive equations for the stress tensors are formulated in a reduced form involving only mechanically active second-rank tensors. Under adiabatic conditions, with negligible temperature variations, the continuity, momentum and barotropic equations are derived, together with expressions for the reduced kinetic energy dissipation function and the speed of sound. Within the framework of the proposed model, the role of thermodynamic pressure is examined and a discussion of mechanical and viscous pressures is provided. The issue of boundary conditions is also addressed. The strengths, limitations and critical aspects of the proposed model are highlighted. To illustrate the non-local effects associated with <i>n</i>th-gradient fluids, the one-dimensional potential flow of longitudinal waves is examined.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01529-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149020772","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

Investigation of wear behavior by the addition of hard powder to Stellite powder in hardfacing of steel by gas tungsten arc welding 钨极电弧焊堆焊钢时，在钨极电弧焊粉中加入硬粉对其磨损性能的研究

IF 3 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2026-09-21 DOI: 10.1007/s00161-026-01526-9

Zohre Mohammadi, Pouria Mazinani, Christian Cardillo

{"title":"Investigation of wear behavior by the addition of hard powder to Stellite powder in hardfacing of steel by gas tungsten arc welding","authors":"Zohre Mohammadi, Pouria Mazinani, Christian Cardillo","doi":"10.1007/s00161-026-01526-9","DOIUrl":"10.1007/s00161-026-01526-9","url":null,"abstract":"<div><p>Hardfacing by gas tungsten arc welding (GTAW) is widely used to produce hard, wear-resistant surfaces on components such as valves and drills. Here, cobalt-based Stellite 1 was reinforced with silicon carbide (SiC, 10–50 wt.%, mesh 15–140) and deposited on ST12 carbon steel by pulsed GTAW; the pulsed current, SiC particle size, and SiC content were optimized in sequence to maximize coating hardness. The optimum coating (30 wt.% SiC, 50–80 mesh, 110–180 A pulsed current) reached a macro-hardness of ~1293 HV10—roughly three times that of the carbide-free Stellite 1 coating (~ 400 HV10) and six times that of the uncoated substrate (~ 200 HV10). Microstructural analysis (optical and scanning electron microscopy, EDS) showed that this hardness increase is governed primarily by the degree of dendritic development of the coating rather than by SiC content alone, with SiC additions above 30 wt.% promoting spheroidization of interdendritic phases and a marked hardness decrease. X-ray diffraction identified Fe8Si2C, Cr7C3 and Co6W6C as the principal strengthening phases, together with Cr2O3·FeO and CoFe arising from substrate dilution and surface oxidation. Under dry pin-on-disk wear testing (10 N and 15 N against an AISI 52100 counterface), the optimum coating lost less mass than the steel pin and showed a friction coefficient of 0.3–0.4, roughly double that of the carbide-free coating, with adhesive wear accompanied by oxide formation as the dominant mechanism. These results show that, when correctly optimized, SiC reinforcement of Stellite 1 hardfacing coatings provides a substantial and reproducible improvement in surface hardness and wear resistance over the unreinforced alloy.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149020771","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