Mechanics of Time-Dependent Materials最新文献

{"title":"Transient thermoelastic response in a semi-infinite medium subjected to a moving heat source: an implementation of the Moore–Gibson–Thompson model with higher-order memory-dependent derivatives","authors":"Ahmed E. Abouelregal,&nbsp;Marin Marin,&nbsp;Sameh S. Askar,&nbsp;Abdelaziz Foul","doi":"10.1007/s11043-024-09672-w","DOIUrl":"10.1007/s11043-024-09672-w","url":null,"abstract":"<div><p>To design and analyze structures and materials that are subjected to changing thermal environments, it is essential to take into account thermal shock events, which are characterized by rapid and dramatic changes in temperature. In this study, a new thermal conductivity model was used to consider the thermal response of an isotropic thermoelastic medium heated by a moving heat source. This model uses memory-dependent higher derivatives and the concept of the Moore–Gibson–Thompson equation. Using the vector-matrix differential equation form, the basic equations are formulated. The model was applied to consider the thermomechanical behavior of a semi-infinite thermoelastic solid. In the field of the Laplace transform, the technique known as the eigenvalue approach deals with the mathematical formulation and solution of the problem. The inversions of Laplace transforms are found numerically using the Honig and Hirdes approximation approach. A graphical representation is provided showing the fluctuation in temperature, displacement, and stress distributions with changing values of kernel functions and higher orders, as well as the velocity of the heat source. Tables are also included to show comparisons and a full analysis of thermomechanical responses and how they affect the way system variables behave.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1555 - 1581"},"PeriodicalIF":2.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139754784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Creep instability analysis of viscoelastic sandwich shell panels","authors":"Nasrin Jafari,&nbsp;Mojtaba Azhari","doi":"10.1007/s11043-024-09673-9","DOIUrl":"10.1007/s11043-024-09673-9","url":null,"abstract":"<div><p>This paper considers the creep instability analysis of time-dependent sandwich cylindrical and spherical shell panels of quadrilateral planforms having elastic faces and viscoelastic cores according to the first-order shear deformation theory. The viscoelastic properties of the core are extracted based on the Boltzmann integral law. The equilibrium equation is expressed utilizing the virtual work principle. The space and time parts of the displacement vector are approximated using the simple HP-cloud mesh-free method (which has H refinement and P enrichment properties), and the exponential time function, respectively. The stiffness and geometry matrices are constructed in the Laplace–Carson domain. Finally, the time behavior of viscoelastic sandwich shell panels under in-plane compressions is predicted by solving the eigenvalue problem in the Laplace–Carson domain. Also, the maximum compressive load is determined which can be applied to the time-dependent sandwich shell panels without any creep instability. This critical compression is less than the buckling load of the viscoelastic sandwich shell panel at time zero.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 1","pages":"65 - 79"},"PeriodicalIF":2.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139763303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Thermomechanical interactions in nonlocal thermoelastic medium with double porosity structure","authors":"Chandra Sekhar Mahato,&nbsp;Siddhartha Biswas","doi":"10.1007/s11043-024-09669-5","DOIUrl":"10.1007/s11043-024-09669-5","url":null,"abstract":"<div><p>The main objective of this work is to create a new thermoelastic model for hyperbolic thermoelasticity in the context of double porosity structure based on nonlocal elasticity theory and the dual-phase-lag model. Nonlocal elasticity theory is used to construct new constitutive relations and equations. In a homogeneous, isotropic thermoelastic material, thermomechanical interactions are studied using normal mode analysis. A time-dependent thermal shock is applied on the boundary surface. This study also produces a few unique situations, which are compared with previous results of other researchers. The normal and tangential stresses, temperature, displacement components, change in void volume fractions, and equilibrated stress vectors concerning distances and time intervals are all calculated numerically. The physical quantities mentioned above are also visually displayed for various thermoelastic models to compare and illustrate the theoretical results. A comparative analysis and graphical presentation of the effects of nonlocal parameters and porosity on various physical characteristics have been performed. The figures show that most of the physical variables decrease with the increase in distance and show oscillatory behavior with the increase in time. The behavior of the void volume fraction field of the first kind is opposite to the behavior of the void volume fraction field of the second kind with the increase in distance. It is also noticed that the behavior of equilibrated stress of the first kind is opposite to the behavior of the second kind.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1073 - 1110"},"PeriodicalIF":2.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139763308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Relaxation behavior of a three-layered wire cable under a combined tension and bending load","authors":"Yuanpei Chen,&nbsp;Lin Huang,&nbsp;Jian Xiang,&nbsp;Jin Xu,&nbsp;Meijuan Zhou,&nbsp;Jianting Zhou","doi":"10.1007/s11043-024-09670-y","DOIUrl":"10.1007/s11043-024-09670-y","url":null,"abstract":"<div><p>Stress relaxation happens to a wire cable that is often wrapped around a pulley during a long-term service process, which causes mechanical performance degradation of the wire cable. In order to investigate the stress relaxation performance of a three-layered wire cable subjected to a combined tension and bending load, a finite element simulation model of a wire cable–pulley device is established using methods of parametric modeling and modified time-hardening modeling, during which the coupling effect between the stress relaxation and contact property is considered. The distributions and evolutions of creep strain, von Mises stress, and contact pressures are obtained. The influence of the lay angles of the helical layers, the axial load, and wrap angle on the stress relaxation behavior of the wire cable is analyzed. The results show that the maximum contact pressure, maximum equivalent stress, and maximum creep strain all occur in the middle region of the three-layered wire cable in the wrap section and locate near the pulley side. The stress relaxation causes smaller magnitudes and more uniform distributions of the contact pressure and equivalent stress, which reduces the risk of severe local contact. The interwire contact pressure, relaxation rate, creep rate, and bending moment reduction of the three-layered wire cable increase with the increments in the lay angles of helical layers, the axial force, and the wrap angle. Under the combined tension and bending load, the stress distribution of the wire cable is mainly concentrated in the middle of the bending section, where stress yielding and other dangerous conditions are most likely to occur. The stress relaxation behavior of the wire cable is sensitive to the lay angle of the intermediate layer and the wrap angle.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2705 - 2727"},"PeriodicalIF":2.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139764048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling compressive basic creep of concrete at early age","authors":"Brice Delsaute,&nbsp;Jean Michel Torrenti,&nbsp;Boumediene Nedjar,&nbsp;Stéphanie Staquet,&nbsp;Agathe Bourchy,&nbsp;Matthieu Briffaut","doi":"10.1007/s11043-024-09668-6","DOIUrl":"10.1007/s11043-024-09668-6","url":null,"abstract":"<div><p>Basic creep plays an important role in assessing the risk of early-age cracking in massive structures. In recent decades, several models have been developed to characterize how the hydration process impacts the development of basic creep. This study investigates the basic creep of various concrete mixes across different ages at loading. The analysis focuses on the very early stages (less than 24 hours) and early stages (less than 28 days) of concrete development. It is shown that a logarithmic expression that contains two parameters describing the material can accurately model basic creep from a very early age. One parameter relates to the creep amplitude and depends solely on the composition of the concrete. The other relates to the kinetics of creep and depends on the age of the material at loading and the nature of the concrete mixture. The logarithmic expression corresponds to a rheological model consisting of a single dashpot wherein viscosity exhibits a linear evolution over time. The model offers the advantage of eliminating the need to store the entire stress history for computing the stress resulting from the restriction of the free deformation. This approach significantly reduces computation time. A power-law correlation is also observed between the material aging parameter and the degree of hydration. This relationship depends on the composition. At least two compressive creep tests performed at two different degrees of hydration are needed to calibrate the material parameters and consider the effect of aging on basic creep compliance.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 1","pages":"143 - 162"},"PeriodicalIF":2.1,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139763311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A theoretical model to predict the structural buildability of 3D printable concrete","authors":"Prabhat Ranjan Prem,&nbsp;P. S. Ambily,&nbsp;Shankar Kumar,&nbsp;Swapnil Balasaheb Ghodke","doi":"10.1007/s11043-024-09666-8","DOIUrl":"10.1007/s11043-024-09666-8","url":null,"abstract":"<div><p>Three-dimensional concrete printing is a transformative technology ushering in revolutionary architectural design and construction automation changes. With recent advancements of this technology, a notable absence of theoretical models predicting structural buildability is required. This investigation aims to bridge this knowledge gap by introducing an innovative theoretical model for estimating the total number of layers printed by a concrete 3D printer. This proposed model considers material behavior, building rate, and failure criteria. The material properties are depicted by modeling structural buildability in two cases, (i) bilinear and (ii) exponential. The buildability is characterized by three subcases, namely (i) constant, (ii) increasing, and (iii) decreasing building rates. These subcases hinge on printing velocity, treated as a function of time. Furthermore, the failure modes of 3D printable concrete structures are delineated based on (i) the Mohr–Coulomb theory and (ii) elastic and plastic failure criteria. Additionally, a strength-correction factor is employed to consider the confinement effect of the printed layer. The ultimate expression of the proposed model embodies an exponential approach to gauging the structural buildability of the printed structures. The study encompasses model validation and extensive parametric analysis to scrutinize the impact of printing velocity, structuration rate, printing path, density, and yield stress.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2661 - 2679"},"PeriodicalIF":2.1,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139579669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Comparative study on the hydraulic conductivity of pervious concrete slabs by constant and falling head permeability tests","authors":"Veerappan Sathish Kumar,&nbsp;Kajo Ferić,&nbsp;Ana Romić,&nbsp;Hrvoje Gotovac","doi":"10.1007/s11043-024-09665-9","DOIUrl":"10.1007/s11043-024-09665-9","url":null,"abstract":"<div><p>Stormwater management is still a major concern confronting many countries all over the world. The need to collect the runoff water is highly prioritised to save natural resources and restore groundwater supplies. Pervious concrete is a special type of concrete that possesses the unique characteristic of allowing water to pass through it. Hence, the study of the hydraulic characteristics of pervious concrete is highly required to understand the material’s ability and utilise it to the maximum. The main motive of this experimental investigation is to study the hydraulic conductivity of pervious concrete slabs using two different methods, namely the constant and falling head permeability tests. Seven different pervious concrete mix proportions were examined in this work. A total of 21 pervious concrete slabs of size 1000 mm × 1000 mm × 200 mm were cast with different degrees of compaction and tested for hydraulic conductivity. From each slab, three concrete cores of size 100 mm diameter × 200 mm height were drilled and extracted to test the hydraulic conductivity and to compare with the test results of the pervious concrete slabs. The test results revealed that compaction is the predominant factor that affects the hydraulic conductivity of the pervious concrete slabs. It has also been observed that all the pervious concrete slabs exhibited non-Darcian behaviour irrespective of the degree of compaction. From the results, it is clear that the hydraulic conductivity of the pervious concrete varies according to the test methods and hydraulic gradients. The results from the extracted cores exhibited similar trend behaviour of the concrete slabs, confirming the non-Darcian flow in pervious concrete. The results also showed that the estimated hydraulic conductivity by the constant head method was higher due to the lower hydraulic gradients considered during the experiment. The outcomes of the test results will be helpful in the rational design of pavements using pervious concrete.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2643 - 2660"},"PeriodicalIF":2.1,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139579665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Characterization and constitutive modeling of the high strain rate behavior of granite at low temperatures","authors":"Xianqi Zhang,&nbsp;Hangli Gong,&nbsp;Yi Luo,&nbsp;Junjie Peng,&nbsp;Qiaoliang Li,&nbsp;Chunneng Yang","doi":"10.1007/s11043-024-09667-7","DOIUrl":"10.1007/s11043-024-09667-7","url":null,"abstract":"<div><p>A split Hopkinson pressure bar (SHPB) was used to characterize the high-strain rate behavior of saturated and frozen granite specimens. The effects of low temperatures and strain rates on dynamic mechanical response and failure behavior were investigated. The damage constitutive model of granite was established, considering both strain rate effect and low-temperature effect. The damage constitutive relationship took into account the statistical damage model based on Weibull distribution and nonlinear viscoelastic behavior. Results show that the dynamic compressive strength of the saturated and frozen granite at low temperatures (−20 °C to 15 °C) generally increases first and then decreases with the decrease of temperature. The peak strain decreases with the decrease of temperature and the peak strain at low temperatures (0 °C to −20 °C) decreases more than that at 15 °C. The dynamic Young’s modulus of the samples shows an increasing trend from 0 °C to −20 °C, and the range of variation decreases with the decrease of temperature. At low temperature, the brittle characteristics of saturated granite are more pronounced due to water-ice phase change and cold shrinkage of the rock matrix, while the ductility is gradually reduced. The modeling results on the stress-strain relationships are consistent with experimental data. It is verified that the constitutive relationship can describe the high strain rate characteristics of saturated frozen granite.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 4","pages":"2681 - 2704"},"PeriodicalIF":2.1,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139579666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Stress distribution in a multi-layer soft viscoelastic material under sliding motion of a spherical indenter tip","authors":"Hiep Xuan Trinh,&nbsp;Trung Kien Hoang,&nbsp;Manh Cuong Bui,&nbsp;Xuan Trang Mai","doi":"10.1007/s11043-024-09663-x","DOIUrl":"10.1007/s11043-024-09663-x","url":null,"abstract":"<div><p>Modeling stress distributions in multi-layer soft viscoelastic materials has great importance for evolving robotics and mechanism of machines, where soft viscoelastic materials are increasingly replacing traditional rigid materials. Nevertheless, tackling this problem remains a challenge, particularly when considering the viscoelastic properties of soft materials. This research presents a theoretical model for stress distribution in a two-dimensional sliding contact between a spherical rigid indenter tip and a plane composed of multi-layer soft viscoelastic material. The material is characterized using the viscoelastic Kelvin–Voigt model, where the viscosity coefficient defines the viscoelastic behavior. Explicit mathematical formulas for stress and strain determination in the multiple soft layers are derived using mathematical transformations based on the Fourier transformation. The system of third-order nonlinear differential equations of the contact model is tackled using the finite difference method, within the given boundary conditions. Then, a numerical algorithm is proposed to effectively solve the finite difference equations, considering various parameters of soft viscoelastic material’s properties and sliding velocity. The effectiveness of our proposed model is validated by numerical simulations and the machine learning method. The developed contact model is expected to be a platform for modeling and analyzing the sliding-spherical contact in novel mechanism designs, such as soft robotics, soft tactile sensors, and intelligent integration in soft bodies.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"861 - 894"},"PeriodicalIF":2.1,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139556468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling the magneto-thermoelastic diffusion in four-phase-lags memory dependent heat transfer","authors":"Debarghya Bhattacharya,&nbsp;Mridula Kanoria","doi":"10.1007/s11043-023-09659-z","DOIUrl":"10.1007/s11043-023-09659-z","url":null,"abstract":"<div><p>Our present work aims to deal with a conceptual structure to investigate the generalized magneto-thermodiffusion relations in an isotropic medium in the context of four-phase lag thermoelastic model using a memory-dependent derivative (MDD). In this new model, the traditional Fourier’s heat conduction law and Fick’s mass diffusion law have been modified by introducing an improvised Taylor’s series expansion, which assimilates the MDD and incorporates four phase lags (FPL) generalized thermoelastic model. Utilizing the Laplace transformation technique as a mechanism, the control equations are presented in the Laplace domain, where they are decoded by incorporating a finite element (Galerkin) approach. The impact of the FPL parameters in several studied fields like stresses, temperature, and chemical potential has been demonstrated in the presence of MDD and magnetic field. A comparison of the results for different models like classical thermo-elasticity model, Lord-Shulman model, and FPL model is presented.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"1617 - 1638"},"PeriodicalIF":2.1,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139104611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}