International Journal of Engineering Science最新文献

{"title":"On the extension of the concept of rheological connections to a finite deformation framework using multiple natural configurations","authors":"Tarun Singh,&nbsp;Sandipan Paul","doi":"10.1016/j.ijengsci.2025.104267","DOIUrl":"10.1016/j.ijengsci.2025.104267","url":null,"abstract":"<div><div>The constitutive behaviors of materials are often modeled using a network of different rheological elements. These rheological models are mostly developed within a one-dimensional small strain framework. One of the key impediments of extending these models to a three-dimensional finite deformation setting is to determine how the different types of connections, i.e., a series and a parallel connection, are incorporated into the material models. The primary objective of this article is to develop an appropriate strategy to address this issue. We show that both the series and the parallel connection between two rheological elements can be modeled within a multiple natural configurations framework without changing or introducing new configurations. The difference in a series and a parallel connection is manifested in the ratio of the stress powers expended during the deformations of the associated rheological elements. Finite deformation version of some well-known rheological models have been used to demonstrate the utility of the proposed theory.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104267"},"PeriodicalIF":5.7,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143820577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 theory and finite element analysis of cylindrical deformation of hyperelastic thick rods","authors":"J. Chróścielewski,&nbsp;A. Sabik,&nbsp;W. Witkowski","doi":"10.1016/j.ijengsci.2025.104269","DOIUrl":"10.1016/j.ijengsci.2025.104269","url":null,"abstract":"<div><div>This paper presents a theory and finite element formulation for the plane strain problem of hyperelastic bodies undergoing cylindrical bending using one-dimensional <em>C</em>⁰ elements called ROD. The paper addresses several aspects characteristic of thick shells experiencing finite elastic deformations, which are not typically encountered in the analysis of classical thin shells. These include significant deformations through the shell's thickness in highly nonlinear range, the numerical implementation of various nonlinear material behaviors, the impact of the chosen reference surface (load) location on the solutions, and the treatment of related boundary conditions. The obtained results are compared with those obtained by commercial code finite element analysis Abaqus system to show the effectiveness of the formulation.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104269"},"PeriodicalIF":5.7,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic behaviour of state-based peridynamic media through analysis of potential fields","authors":"Subrata Mondal,&nbsp;Anasuyakumari Maram,&nbsp;Sudarshan Dhua","doi":"10.1016/j.ijengsci.2025.104261","DOIUrl":"10.1016/j.ijengsci.2025.104261","url":null,"abstract":"<div><div>Unlike classical theories, which rely on local interactions and differential equations, peridynamic theory employs integro-differential equations to describe the mechanics of materials and structures. This distinctive approach allows peridynamics to naturally incorporate long-range forces and discontinuities, such as cracks, which are challenging to handle using classical partial differential equations. In this study, a novel approach for the implementation of nonlocal Helmholtz-Hodge decomposition is used to decompose the displacement field into components that are divergence-free and curl-free. State-based peridynamics, which was introduced to overcome the limitations of bond-based peridynamics, has been considered in this work. As a consequence, two governing equations involving integrals are derived, which are associated with potential fields. An analysis of the propagation of waves has been performed to determine the dispersion relation for both longitudinal and transverse waves. The general solutions for initial-value problems are derived, and the closed-form expression for Green’s function in terms of potential fields is obtained. This study considers Gaussian, exponential, and constant functions as nonlocality functions. Graphs are demonstrated to illustrate the variations in frequency, phase velocity with changes in the size of the horizon (which represents nonlocal length) and nonlocality functions. The validation is achieved both analytically and numerically by ensuring classical correspondence in the limit of the nonlocality parameters approach zero. This work implements nonlocal Helmholtz decomposition, a robust framework that simplifies the study and provides comprehensive insight while analysing vector fields.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104261"},"PeriodicalIF":5.7,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Similarity solutions and wave interactions in a rarefied polyatomic gas","authors":"Dia Zeidan ,&nbsp;Pabitra Kumar Pradhan ,&nbsp;Manoj Pandey","doi":"10.1016/j.ijengsci.2025.104262","DOIUrl":"10.1016/j.ijengsci.2025.104262","url":null,"abstract":"<div><div>The present work describes the development of symmetry analysis for a rarefied polyatomic gas with a focus on the Extended Thermodynamics six independent fields (ET6) model. Rarefied polyatomic gas phenomena in Extended Thermodynamics derive mechanisms for several engineering fields, such as aerospace and mechanical engineering. In this work, symmetry analysis is developed by utilizing the one-dimensional optimal system of the corresponding ET6 model to establish the inequivalence class of group invariant solutions. The model deploys the mass density, the velocity, the absolute temperature, and the dynamics pressure to explicitly derive the transport equations and investigate the evolution of characteristic shock and discontinuity waves. A thorough investigation of the interaction between shock and weak discontinuity waves is presented. It enables complete and specific expressions for the amplitudes of transmitted and reflected waves.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104262"},"PeriodicalIF":5.7,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Comparison of semi-empirical models, symbolic regression, and machine learning approaches for prediction of tensile strength in steels","authors":"Gerfried Millner ,&nbsp;Gabriel Kronberger ,&nbsp;Manfred Mücke ,&nbsp;Lorenz Romaner ,&nbsp;Daniel Scheiber","doi":"10.1016/j.ijengsci.2025.104247","DOIUrl":"10.1016/j.ijengsci.2025.104247","url":null,"abstract":"<div><div>We employ data-driven models to predict the tensile strength of steel coils using information on their chemical composition and process parameters. The dataset contains extensive chemical analyses, diverse process parameters, and the characterized tensile strength as target property. We compare prediction quality and traceability of the predictions of pure machine learning models and physics-informed models. To introduce physical knowledge, we combine models from literature knowledge with symbolic regression and compare the physics-inspired models to machine learning models. In contrast to classic black-box models, symbolic regression provides mathematical equations for the estimation of the target value, facilitating straightforward interpretation. To analyze the predictions from classic black-box machine learning models, we use feature importance analysis with SHAP and contrast the obtained feature impacts with physics-based model parameters. We find that for the present use case, Artificial Neural Networks perform best, while the physics-infused models from symbolic regression allow for better interpretability.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104247"},"PeriodicalIF":5.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Indentation of layered soft electroactive media","authors":"Guozhan Xia ,&nbsp;Zhiqing Zhang ,&nbsp;Ernian Pan","doi":"10.1016/j.ijengsci.2025.104250","DOIUrl":"10.1016/j.ijengsci.2025.104250","url":null,"abstract":"<div><div>Novel layered soft electroactive materials/structures have various special functions and features which can be uniquely applied to different modern science and engineering fields. In this paper, three-dimensional full-field solutions for the indentation characterization of layered soft electroactive media are presented by using a newly established semi-analytical approach. This approach is based on the integration of the Fourier-Bessel series system of vector functions, the dual-variable and position method and the Green's function. For illustration, the flat-ended indentation of a layered neo-Hookean ideal dielectric half-space, incorporating interfacial imperfections and material inhomogeneity between adjacent layers, is taken as an example. The present method is first verified by comparing with the exact solution for a reduced homogeneous case and then applied to multi-layered half-spaces with varying interfacial conditions, ranging from the frictionless contact case to the perfectly bonded case, and with linearly/exponentially graded shear moduli within the layers. The effects of the material compressibility and the interfacial imperfections on the full-field responses are investigated through one-layer and two-layer half-space models, respectively. The imperfections are found to play as barriers in the propagation of indentation-induced distortion within the layered structure. The comparison between the incremental von Mises stress for 20-layer and 100-layer half-spaces further highlights the positive significance of increasing layers to prevent stress mismatches in such structures. Most interestingly, with the advantage of much lower cost on fabrication, the layered structure with sufficient layers is quantitively demonstrated to achieve desired performance comparable to the continuously graded one. We believe that the present study not only establishes a good reference for characterizing the properties of soft multi-field coupled materials/structures containing material inhomogeneity and/or imperfections but also provides a benchmark pattern for addressing related complex boundary-value problems.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104250"},"PeriodicalIF":5.7,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A novel theoretical and computational framework to quantify dielectric relaxation effects on lamb waves in piezocomposites","authors":"Feng Zhu ,&nbsp;Zhenghua Qian ,&nbsp;Peng Li ,&nbsp;Iren Kuznetsova ,&nbsp;Zhao Yang","doi":"10.1016/j.ijengsci.2025.104260","DOIUrl":"10.1016/j.ijengsci.2025.104260","url":null,"abstract":"<div><div>Dielectric relaxation is a widespread physical phenomenon that results in the dielectric coefficient taking on complex values, with both the real and imaginary parts changing in response to variations in frequency and temperature. It is evident that dielectric relaxation affects the dynamic performance of piezoelectric acoustic devices. However, research on this topic remains limited. In this paper, a theoretical framework based on the Debye/Cole-Cole models and continuum mechanics is developed to investigate the effect of dielectric relaxation on wave motion in piezocomposites. This framework describes the wave phase velocity changes and attenuation characteristics caused by dielectric relaxation across multiple scales and at varying temperatures. To quantify the impact, an accurate calculation is performed using a novel numerical method called Multidimensional Moduli Ratio Convergence (MMRC), which features a new root-discriminating mechanism and employs a two-dimensional (2D) root-finding approach to ensure efficient and robust solutions. A three-dimensional (3D) complex dispersion curve is obtained, revealing the propagation and attenuation characteristics of the wave. Six different wave mode shapes (Bending, Tensile, Thickness Tensile, and the first, second, and third Thickness Shear) in symmetric and antisymmetric modes are identified, and their attenuation effects are determined. Further investigation reveals the impact of frequency and temperature variations on the phase velocity and attenuation of the wave. This work is crucial for improving the performance of piezoelectric devices, particularly in terms of attenuation and frequency drift control.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104260"},"PeriodicalIF":5.7,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143703973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Experiments on the finite torsion of nearly incompressible rubber-like materials: Nonlinear effects, analytic modeling and rubber characterization","authors":"Federico Oyedeji Falope,&nbsp;Luca Lanzoni,&nbsp;Angelo Marcello Tarantino","doi":"10.1016/j.ijengsci.2025.104254","DOIUrl":"10.1016/j.ijengsci.2025.104254","url":null,"abstract":"<div><div>We present experiments and analytic modeling of different states of finite torsion of soft cylinders. The problems of <em>free torsion</em> and <em>restrained torsion</em> are investigated. In free torsion, the cylinder is twisted and left free to elongate, thus exhibiting the <em>Poynting elongation</em>. In restrained torsion, the elongation of the cylinder is inhibited, so a reactive axial force arises (<em>Poynting force</em>). The nonlinear Poynting effects, elongation and force, are observed and quantified with a specifically designed device able to simulate both cases of torsion. Punctual laser devices, digital image correlation monitoring, and load cells are used to measure the contraction of the cylinder diameter, Poynting elongation, Poynting force, and twisting moment. The experiments are performed on three rubber-like materials: a silicone rubber and two polyurethanes. Uniaxial tension and compression have been performed along with the torsion tests. The tests show that the investigated materials are nearly incompressible, allowing to model the restrained torsion tests with the theory of <em>simple torsion</em> of incompressible materials. The results of restrained torsion tests reveal that a <em>universal relation</em> established for incompressible materials independent of the second invariant of deformation is violated. Hence, the material characterization is carried out for energy laws of the form <span><math><mrow><mi>W</mi><mrow><mo>(</mo><msub><mrow><mi>I</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>I</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></mrow></mrow></math></span> and a compressible Mooney–Rivlin law. The experimental behavior of the universal relation indicates that the energy dependence on the second invariant of deformation decreases as the deformation increases. We show that simultaneous fitting of uniaxial and torsion tests relevantly reduces the quality of the best-fit procedure. The present work points out the importance of the compressibility of the material for an accurate prediction of the Poynting elongation, which is not grasped well by the incompressible laws.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104254"},"PeriodicalIF":5.7,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143706219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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":"On the nonlinear forced vibration of nanoshells via nonlocal strain gradient theory","authors":"Sayed Mohamad Mirfatah ,&nbsp;Hamzeh Salehipour ,&nbsp;Ömer Civalek","doi":"10.1016/j.ijengsci.2025.104257","DOIUrl":"10.1016/j.ijengsci.2025.104257","url":null,"abstract":"<div><div>This paper investigates the nonlinear forced vibration of doubly curved sandwich nanoshells with auxetic honeycomb core having negative Poisson's ratio and nanocomposite-reinforced coatings. It is assumed that the nanoshell structure rests on Winkler-Pasternak foundation. The dynamic response is analyzed under various periodic and impulsive pressure excitations. The basic governing, compatibility, and constitutive equations are derived in the context of the non-classical nonlocal strain gradient elasticity theory to rigorously account for the size-dependent effects in nonlinear dynamic response at nanoscale. Utilizing the first-order shear deformation theory, representing the strain components in terms of the deformation field and its derivatives, the derived governing equations can be expressed in a system of three-dimensional nonlinear partial differential equations. To achieve a closed-form solution avoiding the complexities of the numerical iterative methods in presence of geometrical nonlinearities, the considered shallow nanoshell panels are taken as simply supported at their different fixed or moveable states. Further, assuming an appropriate approximation for the deformation field, utilizing the Galerkin method, the governing partial differential equations are reduced to an explicit formulation of the corresponding ordinary differential equation of motion which is numerically solved by the Runge-Kutta (RK) method. In numerical investigations, the accuracy and reliability of the proposed analytical-numerical approach are first validated by comparing the obtained results with benchmark solutions available in the literature. Subsequently, the influence of various parameters, including mechanical and geometrical properties, boundary conditions, and different periodic and impulsive external pressure excitations, on the geometrically nonlinear forced vibration behavior of the nanoshell panels is systematically analyzed using the developed solution methodology.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104257"},"PeriodicalIF":5.7,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143703974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamical homogenization of microstructured media towards micromorphic effective continua","authors":"Jean-François Ganghoffer ,&nbsp;Xuan-Nam Do ,&nbsp;Ibrahim Goda","doi":"10.1016/j.ijengsci.2025.104255","DOIUrl":"10.1016/j.ijengsci.2025.104255","url":null,"abstract":"<div><div>The virtual power principle for materials with microstructure modeled in the framework of micromorphic effective media is written from a micromechanical perspective, considering recent contributions of (Alavi et al., 2021, 2023) however restricting to statics. In the present work, we extend the micromorphic framework to dynamics by deriving the macroscopic kinetic energy from the upscaling of microscopic classical principles. Our methodology focuses on identifying a homogeneous velocity that captures the microscale kinematics of the micromorphic effective medium, defined by the macroscopic velocity and the rates of the displacement gradient, distortion tensor, and its first gradient. Unit cell boundary value problems are formulated for the velocity fluctuation that leads to the computation of the effective dynamical micromorphic properties. The predictions of kinetic energy, incorporating higher-order contributions, are exemplified by the square and tetrachiral unit cells, emphasizing the crucial role of structural design in micromorphic media. Internal length scales, comparable to the unit cell size, further validate the micromorphic model's capability to capture scale-dependent effects and demonstrate its effectiveness in predicting the dynamic behavior of architected materials.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"211 ","pages":"Article 104255"},"PeriodicalIF":5.7,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143703972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}