{"title":"Corrigendum to “Thermodynamic basis for odd matter” [Mechanics Research Communications 148 (2025) 104488]","authors":"Martin Ostoja-Starzewski","doi":"10.1016/j.mechrescom.2025.104562","DOIUrl":"10.1016/j.mechrescom.2025.104562","url":null,"abstract":"","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"154 ","pages":"Article 104562"},"PeriodicalIF":2.3,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148183791","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}
Oscar L. Cruz-González , Valérie Deplano , Badih Ghattas
{"title":"Enhanced vascular flow simulations in aortic aneurysm via physics-informed neural networks and deep operator networks","authors":"Oscar L. Cruz-González , Valérie Deplano , Badih Ghattas","doi":"10.1016/j.mechrescom.2026.104642","DOIUrl":"10.1016/j.mechrescom.2026.104642","url":null,"abstract":"<div><div>Due to the limited accuracy of 4D flow Magnetic Resonance Imaging (MRI) in identifying hemodynamics in cardiovascular diseases, the challenges in obtaining patient-specific flow boundary conditions, and the computationally demanding and time-consuming nature of Computational Fluid Dynamics (CFD) simulations, it is crucial to explore new data assimilation algorithms that offer possible alternatives to these limitations. In the present work, we study Physics-Informed Neural Networks (PINNs), Deep Operator Networks (DeepONets), and their Physics-Informed extensions (PI-DeepONets) in predicting vascular flow in the context of a 3D Abdominal Aortic Aneurysm (AAA) idealized model. PINN is a method that combines deep neural networks with the fundamental principles of physics, incorporating the physics laws, which are given as partial differential equations, directly into the loss functions used during the training process. On the other hand, (PI-)DeepONet is designed to learn nonlinear operators from data and is particularly useful in studying parametric partial differential equations (PDEs), e.g., families of PDEs with different source terms, boundary conditions, or initial conditions. Here, we adapt these approaches to address the particular AAA use case by integrating the 3D Navier–Stokes equations (NSE) as the physical laws governing fluid dynamics. The advantages and limitations of each approach are highlighted through a series of relevant application cases. We validate our results by comparing them with CFD simulations, demonstrating good agreements and emphasizing those cases where improvements in computational efficiency are observed. The proposed methodology advances the application of Deep Learning for cardiovascular disease modeling and offers a promising framework for simulation and monitoring of vascular flow in clinical settings.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104642"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146175110","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":"Nonlinear response prediction of a high-dimensional nonlinear beam system under random parametric errors using neural networks","authors":"Zexuan Su, Lin Sun, Xiaopei Liu","doi":"10.1016/j.mechrescom.2026.104644","DOIUrl":"10.1016/j.mechrescom.2026.104644","url":null,"abstract":"<div><div>This study presents a numerical investigation of how random parametric errors (RPEs) affect the nonlinear response of high-dimensional dynamical systems, with a particular focus on predicting the resulting vibration behavior. A case study is conducted on the vibration of a simply supported beam under uniformly distributed harmonic excitation. Initially, a high-dimensional nonlinear dynamical model of the beam is developed based on the Hamiltonian principle and the Galerkin method under the von Kármán assumption. The model is subsequently extended to incorporate RPEs, and the influence on the dynamic response of the simply-supported beam with varying RPE ranges is analyzed. Numerical simulations demonstrate that the minimum required truncation order increases as the PRE intensity grows. Finally, the transformer neural network is shown to exhibit high accuracy and robustness in predicting the chaotic vibration behavior of the system. This work provides a theoretical basis for investigating the vibrational characteristics and chaotic response prediction of simply-supported beams within high-dimensional nonlinear dynamical systems subjected to parametric errors.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104644"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385644","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":"Capillary rise in pipes with variable cross section","authors":"Isidora Rapajić , Srboljub Simić","doi":"10.1016/j.mechrescom.2026.104634","DOIUrl":"10.1016/j.mechrescom.2026.104634","url":null,"abstract":"<div><div>This work proposes an ODE model for a capillary rise in pipes with variable cross section, and compares it to the lubrication theory model. Two key assumptions are made: (1) radius of the pipe varies with axial coordinate, and (2) pipe’s convergence angle is small. The model reduction process involves the identification of critical parameters and simplifies the governing equations by neglecting higher-order terms. Under appropriate scaling, it is shown that generalized Washburn’s equation for capillary rise in pipes with variable cross section reduces to the lubrication theory model (Figliuzzi and Buie, 2013; Gorce et al., 2016).</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104634"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116727","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 the dynamic behavior of cylindrical shell with graphene nanoplatelets (GNPs) faces and hexagonal honeycomb core layer","authors":"Moussa Abualnour , Hadj Youzera , Abdelbaki Chikh , Sid Ahmed Meftah , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Jabr Aljedani , Mohammed A. Balubaid , S.R. Mahmoud , Ayed Eid Alluqmani","doi":"10.1016/j.mechrescom.2026.104637","DOIUrl":"10.1016/j.mechrescom.2026.104637","url":null,"abstract":"<div><div>A quasi-3D higher-order shear deformation theory (QHSDT) with five unknowns is here employed to analyze the vibrational behavior of the honeycomb sandwich cylindrical shells reinforced with graphene nanoplatelets /polymer coatings, which consider effects of both shear and normal deformation. The equations of motion of the sandwich cylindrical shell are obtained via the Hamilton principle. Navier’s technique is applied to obtain the closed-form solution for the simply-supported sandwich cylindrical shell. The accuracy and applicability of the proposed quasi-3D model are validated by comparison with existing results in the literature. Additionally, a parametric study is conducted to examine the effects of different geometrical properties of the honeycomb cells and the reinforcing GNP on the vibration response of the sandwich cylindrical shell, which is of significant interest for many modern engineering applications and their optimal design.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104637"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146175118","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":"Modelling and numerical treatment of scale effects in nanoscopic structures","authors":"V. Sladek, J. Sladek","doi":"10.1016/j.mechrescom.2026.104653","DOIUrl":"10.1016/j.mechrescom.2026.104653","url":null,"abstract":"<div><div>In this paper, we discuss physical aspects, which appear to be inevitable for explanation of size-effects in nanoscopic structures described within continuum theories. Three continuum models are compared in order to indicate the role of scale dependence of dimensionless formulation of a continuum model for phenomenological explanation of size-effects. The attention is paid to treatment of continuity of approximation of primary field variables in weak formulations of governing equations within higher-grade continuum theory, because of higher order derivatives in the governing equations. The importance of modelling real dimensionality in higher-grade continuum theory is demonstrated in an illustrative example. The heat conduction is studied within the higher-grade continuum theory for a simple 1D problem in an infinite bilayer. The boundary conditions considered on the material interface reflect either perfect contact or the interface thermal resistance phenomenon. The variety of boundary conditions together with material parametric study allow to draw conclusions concerning formulation of necessary conditions for occurrence higher-grade theory effects (including size-effects), which are not observable in the classical theory.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104653"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146175117","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":"Micromechanics-based model for the effect of uniaxial stretching on the effective thermal conductivity of particle filled elastomers","authors":"Bowen Wang, Yunpeng Jiang","doi":"10.1016/j.mechrescom.2026.104661","DOIUrl":"10.1016/j.mechrescom.2026.104661","url":null,"abstract":"<div><div>It is well established that stretching deformation significantly affects the effective thermal conductivity (ETC) of elastomer matrix composites. However, the influence of uniaxial elongation on the ETC may vary markedly depending on the type of fillers incorporated within the composite. Accordingly, the present study focuses on elastomers embedded with rigid particles, air voids and liquid metal droplets. A micromechanics-based model utilizing a double inclusion (DI) approach was formulated to analyze the variation in ETC as a function of applied strain. Finite element method (FEM) simulations were compared to evaluate the evolution of filler volume fraction, aspect ratio and interparticle spacing during stretching for three filler types characterized by different rigidity. Due to deformation-induced changes in filler aspect ratio, volume fraction and interparticle spacing, the proposed micromechanics model predicted anisotropic thermal conduction behaviors of the composites. Numerical results revealed that variations in the filler aspect ratio during elongation significantly affect the ETC. in contrast, alterations in inter-particle spacing and particle volume fraction exhibit comparatively minor effects. The complex factors underlying the observed variations in ETC were thoroughly elucidated. Incorporating these deformation-dependent parameters into the analytical framework enhances the model’s predictability to experiments and numerical simulations. This study offers a comprehensive elucidation of the thermal conduction mechanisms in elastomer composites containing various fillers subjected to large strains. The developed model provides valuable insights for the design and optimization of flexible composites with enhanced ETC.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104661"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385639","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}
Bertrand Frederick Boui A Boya , Kotadai Zourmba , Beining Fu , Arnaud Nanfak , Jean de Dieu Nkapkop , Joseph Yves Effa
{"title":"Investigation of isolated and collective dynamics in a novel Rössler system with DSP implementation and PRNG application","authors":"Bertrand Frederick Boui A Boya , Kotadai Zourmba , Beining Fu , Arnaud Nanfak , Jean de Dieu Nkapkop , Joseph Yves Effa","doi":"10.1016/j.mechrescom.2026.104655","DOIUrl":"10.1016/j.mechrescom.2026.104655","url":null,"abstract":"<div><div>This work introduces a novel Rössler prototype-4 system incorporating a nonmonotonic function as nonlinear element. The dynamics of this new model are explored both as a single oscillator and within its collective dynamics. Theoretical analysis reveals that the proposed model possesses both stable and unstable equilibrium points. Using nonlinear analysis tools, we identify complex dynamics in the system, including coexisting period-doubling bifurcations leading to oscillations, the formation of a chaotic Rössler attractor, and double-scroll chaos. Furthermore, the coupled version of the model demonstrates the formation of multiple single-scroll and double-scroll attractors, evolving into complex multi-scroll chaotic structures. The intricate collective dynamics of this system are successfully applied to pseudo-random number generation, with the results passing the NIST statistical test suite. In addition, the system is experimentally implemented using a digital signal processor (DSP) microcontroller, which accurately reproduces the numerical simulations. The individual and collective dynamics of the proposed model represent a significant contribution to the field of nonlinear dynamical systems, with promising applications in data security systems.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104655"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385645","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 the Fermi-Pasta–Ulam–Tsingou recurrence of anomalous (rogue) waves in partial differential equations of nonlinear Schrödinger type","authors":"F. Coppini , P.G. Grinevich , P.M. Santini","doi":"10.1016/j.mechrescom.2026.104639","DOIUrl":"10.1016/j.mechrescom.2026.104639","url":null,"abstract":"<div><div>Anomalous (rogue) waves (AWs) are extreme waves of anomalously large amplitude with respect to the surrounding waves, arising apparently from nowhere and disappearing without leaving any trace. The simplest model describing the generation of AWs, due to modulation instability (MI) in nonlinear media, is the integrable self-focusing Nonlinear Schrödinger (NLS) equation in <span><math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions. In the space periodic setting, the appearance of NLS AWs is a recurring phenomenon and, in the simplest case of a single unstable mode, this recurrence is a Fermi–Pasta–Ulam–Tsingou (FPUT) type recurrence of linear and nonlinear stages of MI. In this paper we review some of the basic properties of the AW recurrence of FPUT-type in integrable and non integrable partial differential equations of NLS type in <span><math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"153 ","pages":"Article 104639"},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146175111","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}