{"title":"Strain-gradient finite elasticity solutions to rigid bar pull-out test","authors":"Nasrin Rezaei, M. Erden Yildizdag, Emilio Turco, Anil Misra, Luca Placidi","doi":"10.1007/s00161-024-01285-5","DOIUrl":"10.1007/s00161-024-01285-5","url":null,"abstract":"<div><p>The pull-out test is one of the common experiments to determine the bond strength. When the problem is modeled in the context of linear elasticity for a cylindrical reinforced concrete block, the resulting simplified 1-D model yields so-called pull-out paradox Rezaei et al. (Mech Res Commun 126:104015, 2022) due to extreme concentration of energy near the bar. Since the standard linear elasticity is not able to consider this high values of energy, the problem was investigated by strain-gradient elasticity solution in the work of Rezaei et al. (Mech Res Commun 126:104015, 2022) . In this study, to resolve the paradoxical solution, classical finite (i.e., St.-Venant–Kirchhoff model) and strain-gradient finite elasticity solutions are presented. Each mathematical model, assuming that the material is isotropic, is derived with the principle of minimum potential energy introducing appropriate strain energy. The numerical simulations are performed by the finite element method, and it is showed that numerical solution of each model converges well.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"607 - 617"},"PeriodicalIF":1.9,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139945342","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}
Alexey Fedorenko, Boris Fedulov, Stanislav Evlashin, Oleg Staroverov, Alexander Pankov, Svetlana Shalnova, Evgeny Lomakin
{"title":"Experimental studies and the model of anisotropic plasticity for additively manufactured stainless steel with stress state dependent properties","authors":"Alexey Fedorenko, Boris Fedulov, Stanislav Evlashin, Oleg Staroverov, Alexander Pankov, Svetlana Shalnova, Evgeny Lomakin","doi":"10.1007/s00161-024-01286-4","DOIUrl":"10.1007/s00161-024-01286-4","url":null,"abstract":"<div><p>In this study the mechanical anisotropy of laser powder bed fusion (LPBF) 316L stainless steel under tensile, compressive, and shear loading in different orientations with respect to the build direction is investigated. Experimental analysis revealed a moderate degree of anisotropy, which is mainly attributed to the build direction. In addition, the mechanical properties were seen to be dependent on the stress state, as evidenced by the tension-compression asymmetry. The anisotropy and asymmetry can be explained by various microstructural factors with texture orientation being one of the most significant. To incorporate such material behavior in structural analysis, a phenomenological model for anisotropic plasticity and tension-compression asymmetry was proposed and calibrated for additive 316L steel. The flexibility of the model allows it to be applied using a mechanical test set on uniaxial loading, and further enhancements may rely on data for combined stress state. The model was calibrated based on FEA of samples loading and fit well all experimental curves, though factors such as residual stresses and test imperfections could introduce some discrepancies.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"619 - 637"},"PeriodicalIF":1.9,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139938773","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":"Wave propagation with two delay times in an isotropic porous micropolar thermoelastic material","authors":"D. M. Neagu, I. M. Fudulu, M. Marin, A. Öchsner","doi":"10.1007/s00161-024-01287-3","DOIUrl":"10.1007/s00161-024-01287-3","url":null,"abstract":"<div><p>In this paper, we are following the plane time-harmonic waves propagation in an entire linear thermoelastic space, knowing the wavelength. Concerning the thermodynamic response, we fit the dual phase-lag model, while the effect of porosity on elasticity is given by Cowin–Nunziato theory. We obtain two shear waves and five longitudinal waves as: quasi-elastic wave, quasi-microrotational wave quasi-micropolar wave, quasi thermal mode, quasi-phase-lag thermal mode. The purpose of numerical simulations and of graphs is to identify the influence of connection between thermoelasticity, microrotation and porosity.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"639 - 655"},"PeriodicalIF":1.9,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139938758","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}
Martin Sýkora, Michal Pavelka, Ilya Peshkov, Piotr Minakowski, Václav Klika, Evgeniy Romenski
{"title":"Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures","authors":"Martin Sýkora, Michal Pavelka, Ilya Peshkov, Piotr Minakowski, Václav Klika, Evgeniy Romenski","doi":"10.1007/s00161-024-01281-9","DOIUrl":"10.1007/s00161-024-01281-9","url":null,"abstract":"<div><p>How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provide two answers, which are similar but not identical, and are compared in this article. They are compared both analytically and numerically on several levels of description, varying in the amount of detail. Namely, a reduction to a more common one-momentum setting is shown, where the effects of the second momentum translate into diffusive fluxes. Both SHTC and GENERIC can thus be interpreted as a method specifying diffusive flux in standard theory. The GENERIC equations, stemming from the Liouville equation, contain terms expressing self-advection of the relative velocity by itself, which lead to a vorticity-dependent diffusion matrix after the reduction. The SHTC equations, on the other hand, do not contain such terms. We also discuss the possibility to formulate a theory of mixtures with two momenta and only one temperature that is compatible with the Liouville equation and possesses the Hamiltonian structure, including Jacobi identity.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"539 - 559"},"PeriodicalIF":1.9,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01281-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139915840","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":"Static bending analysis of a transversely cracked strip tapered footing on a two-parameter soil using a new beam finite element","authors":"Denis Imamović, Matjaž Skrinar","doi":"10.1007/s00161-024-01283-7","DOIUrl":"10.1007/s00161-024-01283-7","url":null,"abstract":"<div><p>In this paper, a new beam Euler–Bernoulli finite element for the transverse static bending analysis of cracked slender strip tapered footings on an elastic two-parameter soil is presented. Standard Hermitian cubic interpolation functions are selected to derive the closed-form expressions of complete stiffness matrix and the load vector. The efficiency of the proposed finite element is verified on an example with several width tapering variations of a simple cracked footing with the results of governing differential equation. Another novelty of this study is improved bending moment functions with included discontinuity conditions at the crack location. These functions now accurately describe the bending moments in the vicinity of the crack of the finite element.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"571 - 584"},"PeriodicalIF":1.9,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01283-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139898781","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 (Lambda )-fractional continuum mechanics fields","authors":"K. A. Lazopoulos, A. K. Lazopoulos","doi":"10.1007/s00161-024-01282-8","DOIUrl":"10.1007/s00161-024-01282-8","url":null,"abstract":"<div><p>After defining the fractional <span>(varLambda )</span>-derivative, having all the prerequisites for corresponding to a differential, the fractional <span>(varLambda )</span>-strain has already been established. Furthermore, only globally variational principles are allowed in the context of fractional analysis. Hence, balance laws, yielding the various field equations in <span>(Lambda )</span>-fractional continuum mechanics, are derived, allowing corners in their fields. The basic balance laws of mass, linear and rotational momentum, and energy conservation with jump conditions are derived in the context of <span>(Lambda )</span>-fractional analysis.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"561 - 570"},"PeriodicalIF":1.9,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139739422","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":"Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids","authors":"Donát M. Takács, Áron Pozsár, Tamás Fülöp","doi":"10.1007/s00161-024-01280-w","DOIUrl":"10.1007/s00161-024-01280-w","url":null,"abstract":"<div><p>Symplectic numerical schemes for reversible dynamical systems predict the solution reliably over large times as well, and are a good starting point for extension to schemes for simulating irreversible situations like viscoelastic wave propagation and heat conduction coupled via thermal expansion occuring in rocks, plastics, biological samples etc. Dissipation error (artificial nonpreservation of energies and amplitudes) of the numerical solution should be as small as possible since it should not be confused with the real dissipation occurring in the irreversible system. In addition, the other well-known numerical artefact, dispersion error (artificial oscillations emerging at sharp changes), should also be minimal to avoid confusion with the true wavy behavior. The continuum thermodynamical aspects (respect for balances with fluxes, systematic constitutive relationships between intensive quantities and fluxes, the second law of thermodynamics with positive definite entropy production, and the spacetime-based kinematic viewpoint) prove valuable for obtaining such extended schemes and for monitoring the solutions. Generalizing earlier works in this direction, here, we establish and investigate such a numerical scheme for one-dimensional viscoelastic wave propagation in the presence of heat conduction coupled via thermal expansion, demonstrating long-term reliability and the applicability of thermodynamics-based quantities in supervising the quality of the solution.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"525 - 538"},"PeriodicalIF":1.9,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01280-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139728177","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":"Interplay of surface and bulk elasticity in morphological stability of ultra-thin film coatings","authors":"Gleb Shuvalov, Sergey Kostyrko, Holm Altenbach","doi":"10.1007/s00161-024-01279-3","DOIUrl":"10.1007/s00161-024-01279-3","url":null,"abstract":"<div><p>This paper explores the interplay of surface and bulk elasticity on the evolution of surface relief within nanosized thin-film coatings, driven by the relaxation of misfit stresses through surface diffusion mechanism. The proposed theoretical approach incorporates the constitutive equations of surface elasticity theory developed by Gurtin and Murdoch into the Asaro–Tiller–Grinfeld model of morphological instability, which takes into account the stress sensitivity of the local gradient in chemical potential driving mass transport along the perturbed surface. Linear stability analysis, based on the solution of the linearized evolution equation representing the amplitude change of surface perturbation with time, predicts the conditions leading to the early growth of surface topological defects. These conditions depend on factors, such as the initial shape and wavelength of the surface undulations, misfit stresses, tension at the surface and interface, and the elastic properties governing the deformation of the surface, interface, film, and substrate.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"503 - 523"},"PeriodicalIF":1.9,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139695816","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}
Marcin Cegla, Magdalena Czerwinska, Piotr Kasprzak
{"title":"Investigation of thermomechanical properties of solid rocket propellant used in multi-barrel rocket systems","authors":"Marcin Cegla, Magdalena Czerwinska, Piotr Kasprzak","doi":"10.1007/s00161-023-01277-x","DOIUrl":"10.1007/s00161-023-01277-x","url":null,"abstract":"<div><p>The effectiveness of multi-barrel rocket systems on today’s battlefields is strongly dependent on the reliability of operation and, hence, proper action of all components, especially rockets and propellants. Therefore, the properties of the solid rocket propellants used in the rocket motors must be determined with an efficient and reliable tool providing repeatable results. The article presents the results of a thermomechanical analysis of solid double-base rocket propellant used in multi-barrel rocket systems. One of the recommended methods for testing solid rocket propellants is dynamic mechanical analysis. Mechanical properties such as the dynamic storage modulus <span>((E^prime ))</span>, the dynamic loss modulus <span>((E^{prime prime }),)</span> and the tangent tan<span>((delta ))</span> of the phase shift angle <span>((E^{prime prime }/E^prime ))</span> were measured with the use of the TA Instruments DMA Q 800 device, in a temperature range of − 100 to <span>(+)</span>100 <span>(^circ )</span> C with the use of different frequencies of applied force and heating rates. Special attention was devoted to determining the glass transition temperature following the STANAG 4540 standardization agreement, as well as the influence of testing parameters on the obtained experimental results. Dynamic mechanical analysis has proven to be an effective method for the evaluation of key properties influencing rocket motor behavior.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"459 - 469"},"PeriodicalIF":1.9,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01277-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139644095","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 second and third gradient material with torsion resulting from the homogenization of a highly contrasted rigid fibre-reinforced composite","authors":"Mustapha El Jarroudi","doi":"10.1007/s00161-024-01278-4","DOIUrl":"10.1007/s00161-024-01278-4","url":null,"abstract":"<div><p>We study the homogenization of an elastic material made of an elastic matrix in contact with highly contrasted three-dimensional elastic rigid fibres with circular cross section. The interaction between the matrix and the fibres is described by a local interface adhesion law. Assuming that the Lamé constants in the fibres and the stiffness coefficient of the adhesive have appropriate orders of magnitude, we derive a class of deformation energies involving second gradient functionals, third gradient functionals, and a functional energy associated with inner torsion.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 3","pages":"471 - 502"},"PeriodicalIF":1.9,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139574099","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}