Continuum Mechanics and Thermodynamics最新文献

{"title":"Ramp-thermal-shock response of a rigidly constrained porous cylinder under nonlocal Klein–Gordon thermoelasticity with higher-order time derivatives","authors":"Ahmed E. Abouelregal,&nbsp;Anouar Saidi,&nbsp;Eid S. Kamel","doi":"10.1007/s00161-026-01499-9","DOIUrl":"10.1007/s00161-026-01499-9","url":null,"abstract":"<div><p>This study investigates the transient thermomechanical response of a solid circular cylinder containing microscopic voids when exposed to two simultaneous thermal excitations: a gradually increasing ramp-type thermal shock applied at the outer surface, and an internal pulsed heat source whose intensity decays exponentially with radial penetration into the material. The cylinder is assumed rigidly fixed at its outer boundary, while the void field obeys a mixed surface condition that allows partial venting of pore pressure. The theoretical framework uniquely combines three advanced physical concepts: spatio-temporal nonlocality of the Klein–Gordon type, a higher-order three-phase-lag heat conduction model capturing finite thermal wave speeds, and full coupling between temperature, displacement, and void dynamics. The governing equations are solved using a hybrid analytical–numerical method. Laplace transformation reduces the system to ordinary differential equations, whose solutions are expressed in terms of modified Bessel functions. The unknown coefficients are determined by applying the transformed boundary conditions: a ramped temperature rise at the surface, zero radial displacement, and the mixed void condition. Numerical inversion of Laplace transforms yields time-domain results. Key findings show that increasing the ramp rise time significantly reduces peak temperature and stress levels, avoiding unphysical singularities. A higher attenuation coefficient confines heating near the surface, protecting the cylinder interior. An impermeable surface suppresses void expansion near the boundary, altering local stress distributions. Simultaneous activation of both spatial and temporal nonlocality reduces hoop stress by up to thirty-five percent, providing intrinsic damping. This work offers direct engineering guidelines for designing lightweight porous components in aerospace, nuclear, and biomedical applications under severe thermal shocks with mechanical constraints.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281125","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}

{"title":"Least squares method used to approximate the damping matrix in the analysis of vibrational systems","authors":"Maria Luminita Scutaru,&nbsp;Sorin Vlase,&nbsp;Andreas Öchsner,&nbsp;Marin Marin","doi":"10.1007/s00161-026-01500-5","DOIUrl":"10.1007/s00161-026-01500-5","url":null,"abstract":"<div><p>Vibrations play an extremely important role in most industrial branches, in transport, civil engineering, in multibody systems. Damping is a property that appears in these systems and determines, in a decisive way, good functioning. In this context, a proper modeling of the systems, which then provides a description of the phenomena that appear and the possibility of theoretical studies in the design phase is necessary in most engineering applications. Classical analysis methods for the study of damping use in the first instance viscoelastic models, which, however, provide approximate results, valid only under certain conditions. The Rayleigh damping model is more suitable but also presents quite limitations and sometimes provides results far from reality. The best method for systems with several degrees of freedom is the Caughey factorization which meets a series of advantages and proves useful in applications. The least squares approach is suggested in the paper as a way to build the damping matrix approximation. Thus, the benefits of modal decoupling can be applied to real-world computations.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281514","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}

{"title":"Quasi-circular cylindrical pore in an elastic solid incorporating surface stresses","authors":"Mikhail Grekov,&nbsp;Dmitriy Stepkov","doi":"10.1007/s00161-026-01486-0","DOIUrl":"10.1007/s00161-026-01486-0","url":null,"abstract":"<div><p>Within the framework of continuum mechanics, the 2-D problem of an elastic field arising around a quasi-circular cylindrical pore under the action of a remote load and surface stresses is considered incorporating the Gurtin-Murdoch surface elasticity model. Two approaches to solving the problem are presented. One is based on conformal mapping, the other on the boundary perturbation method. In both cases, Goursat–Kolosov’s complex potentials and special Muskhelishvili’s technique are used. In the first approach, the solution to the problem is reduced to a hypersingular integro-differential equation, and in the second, to a sequential solution of integral equations similar to the equation of the first approach. Using the first-order approximation of the perturbation method, the effect of surface stresses on the stress state of the pore surface was investigated depending on the magnitude of the deviation from the circular, the magnitude of the uniaxial load and the size of the cross-section of the pore. At low load values, a significant influence of residual surface stress on the elastic field is observed.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236643","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}

{"title":"Dynamics of landslides - mathematical framework","authors":"W. Li,&nbsp;V. Frid,&nbsp;G. Mishuris,&nbsp;A. B. Movchan","doi":"10.1007/s00161-026-01488-y","DOIUrl":"10.1007/s00161-026-01488-y","url":null,"abstract":"<div><p>The paper addresses the modelling of landslides as a dynamic process, which may be triggered by seismic tremors for slopes subjected to gravity and water saturation. It makes a link between the geophysical approach, based on the assumptions of the pseudo-static framework, and mathematical model of a delamination fault preceding the landslide. The Wiener-Hopf approach enables us to trace the waves induced by the moving front of the delamination fault. The results provide the new insight into the dynamics of the initiation of landslides along water-saturated slopes.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01488-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236642","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}

{"title":"When the earth and sky dance: seismic shakes meet weather patterns","authors":"Alessio Kandiah,&nbsp;Alexander B. Movchan,&nbsp;Vladimir Frid","doi":"10.1007/s00161-026-01485-1","DOIUrl":"10.1007/s00161-026-01485-1","url":null,"abstract":"<div><p>A new modelling approach is presented, suggesting how the Earth’s hidden vibrations may be associated with global weather dynamics and atmospheric pressure variations, emphasizing the potential impact of the planet’s own beat on the formation of high-pressure patterns. The atmospheric rotational patterns of the mean sea level pressure, in connection to the development of powerful storms, are shown to be consistent with Earth’s rotational elastic dynamics and earthquake-induced oscillations. These seismic excitations are discussed in relation to storm formation and the global atmospheric patterns of high-pressure regions. The correspondence identified here is qualitative and visual; full quantitative validation through spectral analysis of pressure fields and coupled Earth—atmosphere modelling is essential future work. </p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01485-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236887","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}

{"title":"Effect of bidirectional fiber incorporation in an unbounded anisotropic fiber-reinforced medium with spherical cavity using the finite element method","authors":"Ibrahim Abbas,&nbsp;Marin Marin,&nbsp;Andreas Öchsner,&nbsp;Areej Almuneef","doi":"10.1007/s00161-026-01495-z","DOIUrl":"10.1007/s00161-026-01495-z","url":null,"abstract":"<div><p>This work examines coupled thermoelastic responses in a fiber-reinforced solid containing a spherical cavity, formulated within the Green–Naghdi type III (GNIII) theory. The basic equations are solved numerically using the finite element method with quadratic interpolation for the field variables. The cavity surface is subjected to an exponentially decaying pulsed heat flux while remaining mechanically constrained. Graphical results are used to assess how fiber reinforcement and the characteristics of the thermal pulse modify the resulting thermal and mechanical fields. A comparison between reinforced and homogeneous (unreinforced) configurations clarifies the role of reinforcement in reshaping temperature, displacement, and stress distributions. The study offers insights that can inform the design and performance optimization of fiber-reinforced media for thermoelastic engineering applications.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236641","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}

{"title":"On thermodynamic consistency of strain gradient elasticity","authors":"Arkadi Berezovski","doi":"10.1007/s00161-026-01494-0","DOIUrl":"10.1007/s00161-026-01494-0","url":null,"abstract":"<div><p>Thermodynamic consistency assures that a description of a phenomenon satisfies the fundamental laws of thermodynamics. Verifying thermodynamic consistency of strain gradient elasticity is not trivial. It involves introducing internal variables. The single internal variable theory provides a framework for justifying the thermodynamic consistency of strain gradient elasticity. The dual internal variables approach, which produces hyperbolic evolution equations, overcomes the restrictions of strain gradient elasticity models.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236888","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}

{"title":"Hierarchical MMGTn framework for generalized thermoelastic heat conduction with a fractional perspective","authors":"Nitin Chandel,&nbsp;Vinod Varghese,&nbsp;Abhik Sur","doi":"10.1007/s00161-026-01496-y","DOIUrl":"10.1007/s00161-026-01496-y","url":null,"abstract":"<div><p>Classical Fourier heat conduction predicts infinite thermal wave speed and fails to capture memory effects observed in ultrafast and microscale thermal processes. To address these challenges, this study develops a unified hierarchical thermoelastic framework based on the Modified Moore–Gibson–Thompson (MMGTn) model. The formulation systematically extends MMGT1 to arbitrary order <i>n</i>, enabling multi-stage damping and enhanced control over thermal wave propagation and memory depth. Structural analogies with electrical and mechanical systems are employed to provide physical insight and parameter interpretation. Furthermore, fractional time derivatives are incorporated to capture anomalous heat conduction effects. The coupled thermoelastic response of a semi-infinite strip under thermal shock is analyzed using Laplace transform techniques and numerical inversion. Comparisons with CV, GN, and fractional models show that MMGTn achieves better control of thermal wave speed, stress concentration, and memory effects. This unified framework offers a robust and interpretable tool for multiscale thermal analysis, with applications ranging from bio-thermoelastic modeling to laser treatment, RF ablation, and advanced material design.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236837","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}

{"title":"Seismic trapping in resonator waveguides","authors":"W. Li,&nbsp;V. Frid,&nbsp;N. V. Movchan,&nbsp;A. A. Yakovleva,&nbsp;A. B. Movchan","doi":"10.1007/s00161-026-01490-4","DOIUrl":"10.1007/s00161-026-01490-4","url":null,"abstract":"<div><p>This paper investigates the amplification of seismic waves in urban environments caused by the collective response of low-rise masonry building clusters. Conventional site-response and single-building models often fail to explain the observed distribution of seismic damage in urban areas, as they neglect the resonance phenomena arising from structural clustering. To address this gap, we integrate geophysical transient simulations with Floquet–Bloch analysis and discrete resonator modelling. Together, these approaches provide a consistent multi-scale understanding of seismic wave trapping in urban building clusters. The findings highlight that seismic vulnerability assessments may move beyond isolated-structure analysis to account for resonance effects in clustered configurations. This integrative framework provides theoretical ideas that may enhance both diagnostic insight and predictive capability for seismic hazard assessments and mitigation in densely populated environments. This study is not linked to any formal geotechnical surveys and should be treated as a complimentary theoretical approach in combination with the existing methods of geotechnical assessments.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-026-01490-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172297","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}

{"title":"Influence of axial inertia on the behavior of electrically actuated beam on elastic foundation","authors":"Igor V. Andrianov,&nbsp;Lelya A. Khajiyeva,&nbsp;Steve G. Koblik,&nbsp;Askat K. Kudaibergenov","doi":"10.1007/s00161-026-01481-5","DOIUrl":"10.1007/s00161-026-01481-5","url":null,"abstract":"<div><p>The actuated nonlinear beam model is widely used in the analysis of both static and dynamic pull-in in micro- and nanostructures. Conventional approaches typically utilize a simplified model that neglects axial inertia. However, assessing the impact of this factor on the nonlinear beam dynamics and dynamic pull-in is of significant interest. This paper is devoted to determining the limits of applicability for such simplifications, with primary focus directed toward the pull-in phenomenon. An analytical and numerical investigation into the influence of axial inertia on pull-in values is performed. Based on nonlinear mathematical models and numerical algorithms previously developed by the authors, an asymptotic simplification of the nonlinear beam vibrations is conducted. Both the zeroth- and first-order approximations of the initial-boundary value problem are considered. Their leading terms allow accounting for axial inertia in an approximate form. A small parameter for the asymptotic expansion is defined as the reduced ratio of the plate bending stiffness to its tensile/compressive stiffness. It is demonstrated that pull-in occurs at relatively small displacements, where the influence of higher-order nonlinear terms in the curvature and strain expressions remains marginal. The accuracy of the proposed model and numerical algorithm is validated against experimental data. The results of this study establish that for plates of standard dimensions under typical operating conditions, the effect of axial inertia is negligible, and the simplified model is well-justified for practically relevant scenarios.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"38 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148060659","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}