Carlo Olivieri, Sam Cocking, Francesco Fabbrocino, Antonino Iannuzzo, Luca Placidi, Sigrid Adriaenssens
{"title":"Seismic capacity of purely compressed shells based on Airy stress function","authors":"Carlo Olivieri, Sam Cocking, Francesco Fabbrocino, Antonino Iannuzzo, Luca Placidi, Sigrid Adriaenssens","doi":"10.1007/s00161-024-01350-z","DOIUrl":"10.1007/s00161-024-01350-z","url":null,"abstract":"<div><p>Purely compressed shells are often elegant and highly efficient structural forms, but this leanness may create risk if they are subjected to unexpected patterns and magnitudes of loading, such as may arise due to seismic events. In the same way that historic masonry structures were designed to sustain loads by activating purely compressive force paths, a modern metamaterial can be designed for specific purposes following the same logic. Conventional analysis methods for compression-only shells and vaults, often developed for masonry structures, have tended not to model combined vertical and horizontal loads directly. This has created a significant challenge for engineers assessing historic vaults or designing new shells. To address this gap, this paper presents an enhanced method based on membrane equilibrium analysis (MEA) and the static theorem of limit analysis. This approach is the first application of MEA to directly consider vertical and horizontal body forces acting on a compression-only shell through a parametric formulation of an Airy stress function. The method is applied to a case study of a sail vault subjected to vertical and horizontal loads. Moreover, it is demonstrated how this approach can be used to define iso-resistant shapes that offer more sustainable design options while preserving structural capacity.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01350-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939206","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":"A comprehensive study of simulated cyclic indentation response of linear viscoelastic materials","authors":"Olga Smerdova","doi":"10.1007/s00161-024-01352-x","DOIUrl":"10.1007/s00161-024-01352-x","url":null,"abstract":"<div><p>This paper presents and analyzes the cyclic indentation response of a linear viscoelastic material over the entire time range of the relaxation processes using conical or spherical indenters. Finite Element simulations of cyclic indentation on two Generalized Maxwell materials with different relaxation spectra were performed. A variety of cyclic responses to indentation were generated and analyzed using an analytical method based on elastic contact. It is shown that the elastic contact depth and contact stiffness from the loading curves should be used to identify the relaxation modulus corresponding to the time of loading. The stabilization of the loop has also been studied through the energy ratio, a parameter that describes the evolution of the dissipated energy with cycles. A simple time shift between cyclic creep and monotonous indentation creep of a linear viscoelastic material is demonstrated. The simulated indentation curves and the parameters derived from them were found to be qualitatively similar to the experimental cyclic indentation data on HDPE polymer at different loading rates. Assuming that the first loading is affected by plasticity due to the use of a sharp indenter, a correction was suggested to obtain the elastic relaxation modulus from the experiments. The values of the modulus identified in this way for HDPE compared well with the relaxation modulus identified for this material from previous cyclic tensile experiments. The small discrepancy was attributed to the non-linear viscoelasticity or the viscoplasticity of the polymer.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939207","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":"Dynamic properties of the structures with three level of symmetry","authors":"Sorin Vlase, Andreas Öchsner, Marin Marin","doi":"10.1007/s00161-024-01337-w","DOIUrl":"10.1007/s00161-024-01337-w","url":null,"abstract":"<div><p>In the field of mechanical engineering, structural systems that can present different types of symmetries are frequently encountered. The choice of such solutions with symmetries is generally the result of considering factors such as reducing design and production costs, logistical considerations, but also for aesthetic reasons. The existence of these symmetries inside some structures brings new properties in the mechanical behavior and can be useful in simplifying the calculation, in the static and dynamic case. Symmetries can bring new properties when the problem of studying vibrations is raised. Thus, the dynamic analysis time can be reduced and the designer can get a quick picture of the behavior of the structure in operation. The paper aims to study a special situation of symmetry that can be encountered in engineering practice, namely the existence of three planes of symmetry within a structure. Such structures can be found frequently in the field of mechanical engineering but also in the construction of buildings. The presented properties can contribute to the reduction of dynamic analysis time and therefore to the reduction of design costs. An example from real life is analyzed in the work, highlighting the listed properties.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01337-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939208","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":"On the formulation of evolutive laws and complementarity conditions for non-smooth elastoplastic materials","authors":"Fabio De Angelis","doi":"10.1007/s00161-024-01341-0","DOIUrl":"10.1007/s00161-024-01341-0","url":null,"abstract":"<div><p>In the present work a formulation of evolutive laws and complementarity conditions in non-smooth elastoplasticity is discussed. The treatment addresses the problem of non-smooth elastoplasticity which is represented by functions characterized by singularities and defined by non-smooth yielding limit conditions and non-differentiable functions. The mathematical theory of subdifferential calculus is properly advocated to provide the suitable mathematical framework in order to treat non-differentiable functions and non-smooth problems. Extended expressions of evolutive laws and complementarity conditions in non-smooth elastoplasticity are illustrated within the adopted generalized mathematical treatment. Relations between the presented mathematical formulations and the expressions in classical elastoplasticity are pointed out and discussed. The proposed treatment has significant advantages since it provides a geometrical framework to the maximum dissipation principle for non-smooth problems in elastoplasticity. Furtherly, the proposed treatment gives insights in the interpretation of the adopted geometrical framework for different types of evolutive laws for new materials and solids such as for instance in some types of new metamaterials with non-smooth constitutive behavior. In addition, the present formulation is also useful in the design of metamaterials, such as pantographic ones, where the plasticity of the pivots is relevant.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912797","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":"Dynamic response of an infinite body with a cylindrical tunnel cavity under fractional-order thermoviscoelastic diffusion theory with various shock loads","authors":"Ying Guo, Yuchuan Bai, Liqiang Sun, Pengjie Shi, Chunbao Xiong, Kuahai Yu","doi":"10.1007/s00161-024-01354-9","DOIUrl":"10.1007/s00161-024-01354-9","url":null,"abstract":"<div><p>Underground tunnels serve as vital infrastructure for road and rail transportation, oil and gas pipelines, power grids, and military applications; they are inherently subject to harsh environments characterized by extreme temperatures, chemical erosion, and sudden impacts. To address these challenges, the sophisticated coupled thermoelastic diffusion dynamic model has been developed based on Biot’s wave equation, Fick’s law, viscoelastic theory, and Ezzat’s fractional-order thermoelastic theory. The research presented here delves into the intricate thermoviscoelastic diffusion dynamic response of the system, exploring how it reacts when simultaneously confronted with a thermal source, normal load, and chemical shock directly applied to the surface of the cylindrical tunnel cavity. The Laplace transform and the Crump numerical inversion method have been used to obtain the non-dimensional displacement, temperature, chemical potential, concentration, radial stress, hoop stress, and axial stress. A meticulous analysis reveals the intricate interplay between the fractional coefficient, temporal evolution, and diverse shock load types on these variables. The fractional-order coefficients have a certain effect on the analysis of all physical variables except the non-dimensional chemical potential. The action time has a significant effect on all non-dimensional physical variables. The two different viscoelastic relaxation time factors have no significant effect on non-dimensional temperature and chemical potential, however, have obvious effects on non-dimensional concentration, radial stress, hoop stress, and axial stress.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142888052","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":"Determining material parameters by ball indentation of a circular perforated hyperelastic membrane","authors":"Alexey M. Kolesnikov","doi":"10.1007/s00161-024-01353-w","DOIUrl":"10.1007/s00161-024-01353-w","url":null,"abstract":"<div><p>This paper proposes a method for determining the mechanical properties of thin films of highly elastic materials. The method is based on an experiment of indenting a circular specimen with a hole in the center by a ball indenter. The value of the maximum indenting force is used as experimental data. This method determines the neo-Hookean model parameter for incompressible materials, factoring in indenter-specimen friction across various hole and indenter sizes.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886808","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":"Uniform electroelastic field within a spheroidal inhomogeneity imperfectly bonded to an infinite transversely isotropic piezoelectric matrix","authors":"Xu Wang, Peter Schiavone","doi":"10.1007/s00161-024-01348-7","DOIUrl":"10.1007/s00161-024-01348-7","url":null,"abstract":"<div><p>We consider a transversely isotropic piezoelectric spheroidal inhomogeneity embedded in an infinite transversely isotropic piezoelectric matrix subjected to a uniform remote axisymmetric electromechanical loading. The inhomogeneity-matrix interface is spring-type in elasticity and weakly conducting in dielectricity. The same degree of interface imperfection in elasticity is realized in both the normal and tangential directions and the interface is characterized by two imperfect interface functions. We identify the two interface functions leading to a uniform interior electroelastic field within the spheroidal inhomogeneity. Explicit expressions for the internal uniform stresses and electric displacement within the inhomogeneity are presented and illustrated. The uniformity property within an imperfectly bonded spheroidal piezoelectric inhomogeneity under a uniform remote antisymmetric electromechanical loading is also proved and illustrated.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142825171","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}
B. Szczucka-Lasota, A. Uściłowska, T. Węgrzyn, Katarzyna Węgrzyn-Wolska
{"title":"Aluminum busducts welding with micro-jet cooling-process parameters estimation by numerical simulations with MFS","authors":"B. Szczucka-Lasota, A. Uściłowska, T. Węgrzyn, Katarzyna Węgrzyn-Wolska","doi":"10.1007/s00161-024-01351-y","DOIUrl":"10.1007/s00161-024-01351-y","url":null,"abstract":"<div><p>Aluminum alloys are light and corrosion-resistant materials, which is why they are widely used in structures in many industrial fields (construction, automotive, electric cables). The article deals with the aluminum busduct structure. Therefore, the mechanical and especially electrical properties of busduct welds are the basic criteria for assessing the quality of welds. The aim of the work was to present the advantages of a process combining metal inert gas welding with immediate microjet cooling (MJC). The parameters of aluminum welding using the micro-jet method were estimated in order to obtain products with the desired strength, mechanical and electrical parameters. Information regarding the influence of various microjet parameters on the metallographic structure was also recorded. Then, the metallographic properties and some physical properties of the welding structures (mechanical resistance, electrical conductivity) were examined. In addition, computer simulations of the welding process with micro-jet cooling were performed. The heat affected zone in the welded material was determined. The proposed numerical method will allow the assessment of the parameters of the welding process with micro-jet cooling depending on the parameters of the materials undergoing the welding process. The numerical approach will significantly reduce costly and time-consuming in situ work. Planning the welding of large structures (such as busducts) will be more economical using the results of computer simulations.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809492","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}
Ahmed E. Abouelregal, Rasmiyah A. Alharb, Murat Yaylacı, Badahi Ould Mohamed, Sami F. Megahid
{"title":"Analysis of temperature changes in living tissue using the modified fractional thermal conduction model under laser heat flux on the skin surface","authors":"Ahmed E. Abouelregal, Rasmiyah A. Alharb, Murat Yaylacı, Badahi Ould Mohamed, Sami F. Megahid","doi":"10.1007/s00161-024-01343-y","DOIUrl":"10.1007/s00161-024-01343-y","url":null,"abstract":"<div><p>The use of thermal conduction models, particularly the double-phase lag thermal wave model, is vital for improving thermal therapies in biological tissues. However, existing models have limitations that hinder their practical application. This paper introduces a modified Pennes fractional thermal equation for biological heat transfer that integrates the double-phase lag concept and the fractional Atangana-Baleanu operator with a non-singular kernel. The model’s predictions were validated against measured temperature responses of laser-irradiated skin tissue and compared to established models. A one-dimensional layer of human skin tissue was analyzed using the Laplace transform method, with graphical results for each scenario. The comparative analysis showed that the AB fractional model outperforms other fractional models in capturing memory effects related to temperature variations and accurately models thermal interactions in living tissues while considering time delays. These findings highlight the model’s potential to improve the design and optimization of thermal therapies in clinical practice.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142796906","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}
Pouria Mazinani, Christian Cardillo, Peiman Mosaddegh
{"title":"Evaluating corneal biomechanics using shear wave elastography and finite element modeling: sensitivity analysis and parametric optimization","authors":"Pouria Mazinani, Christian Cardillo, Peiman Mosaddegh","doi":"10.1007/s00161-024-01340-1","DOIUrl":"10.1007/s00161-024-01340-1","url":null,"abstract":"<div><p>This study presents a comprehensive analysis of corneal biomechanics using shear wave elastography, leveraging finite element modeling to investigate the mechanical properties of corneal tissue. A 3D axis-symmetric corneal model was developed and subjected to various simulated conditions, including changes in intraocular pressure (IOP), boundary conditions, excitation pressure, and corneal curvature. The model incorporates hyper-viscoelastic material properties, allowing for an accurate representation of the cornea nonlinear behavior within physiological pressure ranges. Parametric studies were conducted to assess the sensitivity of shear wave velocity to variations in corneal biomechanical parameters. The results revealed that intrinsic material properties, particularly viscoelastic constants, significantly influence shear wave propagation, while external factors such as IOP and boundary conditions have minimal impact. The study also employed the Taguchi method for parametric optimization, identifying the first relaxation time as a critical factor affecting shear wave velocity. This work offers valuable insights into corneal biomechanics, with implications for improving diagnostic techniques and enhancing our understanding of corneal behavior under different physiological conditions. The findings support the potential application of shear wave elastography as a non-invasive tool for assessing corneal stiffness and advancing clinical practice in ophthalmology.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142790402","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}