Archive of Applied Mechanics最新文献

{"title":"Static bending, free and forced vibration responses of organic nanobeams in a temperature environment","authors":"Pham Van Lieu,&nbsp;Gia Thien Luu","doi":"10.1007/s00419-023-02469-2","DOIUrl":"10.1007/s00419-023-02469-2","url":null,"abstract":"<div><p>For the first time, this work employs analytic solutions to study static bending, as well as free and forced vibrations of organic nanobeams, including the impact of temperature. Calculation formulas are developed on the basis of the third-order shear strain theory of thickness. These formulas also account for the influence of the size effect by using nonlocal parameters. In contrast to the findings of earlier research on nanobeams, the nonlocal parameter in this investigation fluctuates with beam thickness. In addition to this, the viscous drag parameter of the beam is taken into consideration, which further complicates the calculation method, but this is also the new point of this work. The equation is developed using the potential work principle, and the Navier form solution is used to solve the resulting equilibrium equations. Nanobeams' natural frequency and static displacement have both real and complicated components due to the involvement of the drag parameter. The research also includes some numerical calculation findings for elucidating the impact of temperature and nonlocal parameters on the static bending response and free and forced vibration of organic nanobeams.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3947 - 3963"},"PeriodicalIF":2.8,"publicationDate":"2023-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Families of Hooke-like isotropic hyperelastic material models and their rate formulations","authors":"S. N. Korobeynikov","doi":"10.1007/s00419-023-02466-5","DOIUrl":"10.1007/s00419-023-02466-5","url":null,"abstract":"<div><p>We introduce a new (HHE) family of Hooke-like isotropic hyperelastic material models associated with the Doyle–Ericksen family of strain tensors with Eulerian forms of constitutive relations (CRs). This family contains the well-known Hencky and Simo–Pister (modified neo-Hookean) isotropic hyperelastic material models. The main feature of the new family of material models is that the rate counterparts of CRs for material models from this family are simultaneously CRs for Hooke-like isotropic hypoelastic-type material models based on Eulerian continuous strain-consistent convective stress rates. Models from the new family extend the only previously known Hooke-like isotropic hypoelastic material model based on the corotational logarithmic stress rate with Hooke-like hyperelastic counterpart to an infinite number of such models based on non-corotational stress rates. In addition, we develop unified Eulerian forms of CRs and specific potential strain energies for the known families of Hill (HLIH) and Kellermann–Attard (K–A) Hooke-like isotropic hyperelastic material models. For all three families (HHE, HLIH, and K–A) of material models, new explicit basis-free (eigenprojection based) expressions for the fourth-order elasticity tensors with full symmetry are obtained. Expressions for the components of the Cauchy stress tensor versus axial stretch in the simple elongation problem are derived, and their plots for integer values of the parameter <span>(n=pm 2,pm 1, 0)</span> generating material models from the families considered are constructed. From an analysis of these plots, it is concluded that the Simo–Pister isotropic hyperelastic material model is the best model among those considered.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3863 - 3893"},"PeriodicalIF":2.8,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"BIEM via graded piezoelectric half-plane Green’s function for wave scattering by curvilinear cracks","authors":"Tsviatko Rangelov,&nbsp;Petia Dineva","doi":"10.1007/s00419-023-02463-8","DOIUrl":"10.1007/s00419-023-02463-8","url":null,"abstract":"<div><p>This work presents numerical solution for wave motion in a functionally graded piezoelectric half-plane that includes contributions of incident time-harmonic SH waves, waves reflected by the traction-free surface and scattered by multiple curvilinear cracks. A special type of material gradient is studied, where material properties vary exponentially with respect to the depth coordinate. A non-hypersingular traction Boundary Integral Equation Method based on analytically derived Green’s function of a graded half-plane is developed and verified. A series of numerical results show the influence of the material gradient characteristics, the properties of the applied dynamic load, the cracks geometry, the cracks interaction phenomenon and the coupled character of the electromechanical continuum on the wave motions and on the local mechanical and electrical stress concentration fields developing in the graded half-plane.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3683 - 3696"},"PeriodicalIF":2.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02463-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5093202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Analytical optimal design of inerter system for seismic protection using grounded element","authors":"Ruoyu Zhang,&nbsp;Jizhong Huang,&nbsp;Yue Zhang","doi":"10.1007/s00419-023-02462-9","DOIUrl":"10.1007/s00419-023-02462-9","url":null,"abstract":"<div><p>Compared with classical tuned mass damper (TMD), inerter system has higher damping efficiency and wider vibration control range. The traditional fixed-point theory of TMD have been used in most of the previous optimal parameter designs of inerter system, the optimized parameters obtained are expressed by the inerter-mass ratio, which may not be applicable to some specific inerter systems (such as tuned viscous mass damper, TVMD) or are too cumbersome. In this paper, the optimal parameters of the inerter system based on the characteristics of the grounded element and muti-performances demand are derived, and demand-based global optimal methods of the design parameters of the inerter system are proposed and compared. The correctness, feasibility and applicability of methods are verified by optimization examples and typical excitation including ground motions. The optimal parameters combinations of the inerter system derived based on the grounded element exist unique analytical expressions. When the value of the grounded element and the objective function are determined, the local optimal design of the inerter system can be realized. If the precise displacement vibration control of original structure is needed, the optimal parameters obtained by the stochastic displacement response that is taken as the objective function can be selected. If the demand is that total energy input of original structure requires is minimum, and the requirements for small displacement control effect are not strict, the optimal parameters of the inerter system obtained by the stochastic velocity response can be selected. If it is necessary to minimize the engineering cost and the control the peak and RMS displacement at the mean time, the optimal parameters of the inerter system obtained by deformation enhancement coefficient of damping element can be selected. The analytical expressions of the optimal design parameters of the inerter system based on the grounded element are concise and the processes of optimal design based on multiple performances objectives are simple, which can be applied to a variety of demands in practical engineering.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3809 - 3826"},"PeriodicalIF":2.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Damage identification based on topology optimization and Lasso regularization","authors":"Ryo Sugai,&nbsp;Akira Saito,&nbsp;Hidetaka Saomoto","doi":"10.1007/s00419-023-02464-7","DOIUrl":"10.1007/s00419-023-02464-7","url":null,"abstract":"<div><p>In this paper, we present a damage identification method for small damages based on topology optimization and Lasso regularization. In particular, this work extends the applicability of the previously developed damage identification method using frequency response functions and topology optimization, by conducting rigorous parametric studies in terms of damping, measurement noise, and damage size. It is shown that the presented method successfully identifies small damaged regions with a reasonable accuracy. To evaluate the effectiveness of the proposed method, we applied the method to identify the damages in cantilevered plates that are subject to static or dynamic loads. The method succeeded in detecting the locations and shapes of damages more accurately than the method without Lasso regularization. Furthermore, in most cases we have considered, spurious damages generated during the optimization were successfully suppressed.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3827 - 3850"},"PeriodicalIF":2.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Similar construction method for non-Newtonian power-law fluid seepage models with elastic outer boundary conditions","authors":"Cai-yun Sun,&nbsp;Peng-she Zheng,&nbsp;Xue Qian,&nbsp;Li-hui Leng","doi":"10.1007/s00419-023-02456-7","DOIUrl":"10.1007/s00419-023-02456-7","url":null,"abstract":"<div><p>In oil and gas engineering, non-Newtonian fluids are universal. Thus, studies on the seepage laws of non-Newtonian power-law fluids are of great importance and significance. In this paper, we introduced the definition of elastic coefficient based on the establishing elastic outer boundary conditions. We then set up a homogeneous well test model for non-Newtonian power-law fluids under elastic outer boundary conditions, considering wellbore reservoir and skin effect. The Laplace space solution of the bottom hole pressure was obtained using the similar structure method, and the double logarithmic characteristic curve was drawn using the Stehfest numerical inversion technique. Furthermore, the main parameters affecting the characteristic curve were analyzed. The experimental results showed that the early phase of the homogeneous well test curve can be affected by the wellbore storage coefficient. In addition, the mid-term seepage is greatly influenced by the power-law flow exponent and the skin factor, while the elastic coefficient predominantly acts on the later phase of fluid flow. We concluded that the introduction of the elastic outer boundary expands the traditional fixed form of ideal outer boundary conditions, enabling a more general representation of the seepage model. This approach provides a more effective theoretical basis for further exploration of the seepage law of the reservoir. Meanwhile, we simplify the calculation process of the solution model by the use of the similar structure method of the solution and point out a new research direction for solving the more complex seepage model.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3609 - 3624"},"PeriodicalIF":2.8,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4759295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 approach to study the mass-spring-damper system using a reliable fractional method","authors":"Basem Ajarmah","doi":"10.1007/s00419-023-02461-w","DOIUrl":"10.1007/s00419-023-02461-w","url":null,"abstract":"<div><p>This paper proposes some modifications to the method of studying the fractional mass-spring-damper system in order to meet the high reliability requirements of the mechanical system. These changes mainly depend on two things, the discovered drawback of the fractional methods, and the general behavior of the mechanical damping system. The defects discovered in fractional calculus are summarized in the results of differences between the variance of fractional definitions and the constant coefficients. Therefore, it became necessary to introduce some modifications and suggestions for compatibility with the system to make the proposed fractional definition more intuitive and usable. In this paper, the numerical and theoretical results were compared using our proposed definition and Caputo’s. We found that there is a clear difference in the results between them. We believe that our proposed method distinguished by its compatibility with the basics of damped mechanical system behavior. In first method the vibration takes place around the reference axis, while in Caputo’s method vibration occurs around different axes when changing the fractional differential orders. The method proposed is based on a modification in conformable fractional derivative.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 10","pages":"3797 - 3808"},"PeriodicalIF":2.8,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41085673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Influence of beam models on dynamic responses of ballasted railway track subjected to moving loads","authors":"Le-Hung Tran,&nbsp;Thi-Thu-Ha Do,&nbsp;Khuong Le-Nguyen","doi":"10.1007/s00419-023-02459-4","DOIUrl":"10.1007/s00419-023-02459-4","url":null,"abstract":"<div><p>This research presents a development of the dynamical model for ballasted railway tracks by combining two models: a periodically supported beam model for the rail and model of beam posed on a viscoelastic foundation for the sleeper. In this development, two beam theories can be used to describe the dynamic behavior of beam: Euler–Bernoulli and Timoshenko. In steady-state condition, a relation between the reaction force applied on the support and displacement of rail is established in the frequency domain. In the other way, these two variables are linked with the help of Green’s function for the sleeper. By performing the two previous analyses, the dynamic responses of rails are obtained analytically in the frequency domain. The numerical examples show the influence of beam models for the rails and sleeper on the dynamic responses. This work provides analytical choices to calculate the dynamic track responses where the rails and sleeper can be described by the two beam theories.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3665 - 3682"},"PeriodicalIF":2.8,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4754674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Three-dimensional Green’s functions for transversely isotropic poro-chemo-thermoelastic media","authors":"Zhouwen Shi,&nbsp;Shuaixiang Qi,&nbsp;Jiadong Han,&nbsp;Longming Fu,&nbsp;Di Wu","doi":"10.1007/s00419-023-02448-7","DOIUrl":"10.1007/s00419-023-02448-7","url":null,"abstract":"<div><p>Shale having a porous structure, is sensitive to thermal and chemical stimuli. In order to study the effects of concentrated piont sources on the mechanical behavior of porous materials, we introduce two displacement functions and derive the general solutions of the coupled fields based on the operator theory, superposition principle, and generalized Almansi’s theorem. Two examples are used to introduce the application of general solutions by the liquid-chemical-thermal equilibrium boundary conditions. In the first example, the general solutions are used to solve the problem of semi-infinite transversely isotropic poro-chemo-thermoelastic (PCT) cones subjected to a point fluid source, a point ion source or a point heat source at the vertex. In the other example, the general solutions are used to solve the problem of transversely isotropic PCT media with conical cavities subjected to a point fluid source, a point ion source or a point heat source at the origin. Finally, the contours of the coupled fields of PCT cones and PCT media with a conical cavity are drawn. The numerical results show that the variation of the vertex angle can affect the diffusion trend of the coupled fields.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3427 - 3460"},"PeriodicalIF":2.8,"publicationDate":"2023-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02448-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4727559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 finite element approach for simplified 2D nonlinear dynamic contact/impact analysis","authors":"Seungwook Seok,&nbsp;Adnan Shahriar,&nbsp;Arturo Montoya,&nbsp;Ramesh B. Malla","doi":"10.1007/s00419-023-02451-y","DOIUrl":"10.1007/s00419-023-02451-y","url":null,"abstract":"<div><p>In this paper, a simplified numerical approach for finite element dynamic analysis of an inelastic solid structure subjected to solid object impact is presented. The approach approximates the impacting solid as the selected multiple nodes, for which mass of the impactor is distributed. The node-to-segment contact formulation with the penalty constraint technique incorporated is employed to impose contact conditions between the nodes and the surface of the receiver structure. The node-to-segment algorithm is integrated into Newton–Raphson time integration scheme and the Lagrange multiplier technique is applied to enforce the identical displacements for the selected nodes throughout the analysis process. The approach is verified using two-dimensional plane strain models considering elastic-perfectly-plastic material behavior. The results obtained using the proposed approach are in a good agreement with those simulated using a commercial finite element code, ABAQUS dynamic/implicit, in terms of displacements and stress distribution fields. The proposed approach is shown to be computationally superior to general finite element method-based contact/impact analysis without significantly sacrificing the accuracy.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3511 - 3531"},"PeriodicalIF":2.8,"publicationDate":"2023-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4425412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}