{"title":"A meshfree method for thermodynamic analysis of functionally graded elliptical shell with varying thickness in supersonic flow","authors":"Cholnam Sin, Yujin Kim, Songhun Kwak, Jinsim Kim","doi":"10.1007/s00419-025-02938-w","DOIUrl":"10.1007/s00419-025-02938-w","url":null,"abstract":"<div><p>This study presents a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the dynamic analysis of functionally graded elliptical shell with varying thickness (FGESVT) in supersonic flow and thermal environment. The material properties of FGESVT are assumed to vary along the direction perpendicular to the bottom surface. The thermal stress due to the variation of environmental temperature is considered by introducing the nonlinear part of the Green–Lagrange strain. A meshfree shape function is constructed by combining the radial basis with Jacobi polynomials with fast convergence, numerical stability and high accuracy, and the displacement components of the FGESVT are expanded by using the meshfree Jacobi-RPI shape function. The equations of motion of the closed FGESVT are obtained by coupling the equations of several open shells. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies for the free vibration and dynamic response analysis of open and closed FGESVT. Finally, the effect of thermal load, thickness variation and boundary condition on the free vibration and dynamic response of the FGESVT are discussed.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028369","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":"Free and forced vibration analysis of FG-porous beams on variable elastic foundations: a comprehensive study using higher-order beam theory and meshless collocation method","authors":"Shahram Hosseini, Romina Nazari","doi":"10.1007/s00419-025-02939-9","DOIUrl":"10.1007/s00419-025-02939-9","url":null,"abstract":"<div><p>This study presents a comprehensive free and forced vibration analysis of functionally graded porous beams resting on variable elastic foundations. The governing equations are formulated and solved to investigate the dynamic behavior of the beams under different boundary conditions utilizing higher-order beam theory and the meshless collocation method. Various porosity distributions and foundation types, including Winkler and Pasternak models with linear, parabolic, sinusoidal, cosine, and exponential stiffness variations, are considered. The effect of porosity patterns and foundation stiffness on the natural frequencies and forced response is analyzed in detail. The results indicate that porosity distribution significantly influences the vibrational characteristics, with specific configurations enhancing stiffness and stability. The effectiveness of the proposed meshless method is validated through comparisons with available benchmark results, demonstrating its accuracy and computational efficiency. The findings contribute to the optimal design and analysis of functionally graded porous beams in engineering applications where dynamic performance is critical.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028249","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}
Huaizi Tang, Yanchun Hu, Lin Lang, Jun Xu, Jiuzhou Huang, Wen Hua, Shiming Dong
{"title":"Effect of contact angle on the determination of tensile strength in the Brazilian test","authors":"Huaizi Tang, Yanchun Hu, Lin Lang, Jun Xu, Jiuzhou Huang, Wen Hua, Shiming Dong","doi":"10.1007/s00419-025-02937-x","DOIUrl":"10.1007/s00419-025-02937-x","url":null,"abstract":"<div><p>Assessing the validity of tensile strength determination in the Brazilian test is a classical problem in fracture mechanics. According to reports, the Brazilian splitting strength is generally lower than the direct tensile strength in most cases, while in a minority of cases it is higher. Based on the analytical solution of the stress field in an uncracked disc under parabolic loading and Griffith's fracture criterion, this paper proposes a novel modified formula for calculating tensile strength <i>σ</i><sub>t</sub> that accounts for the influence of the load contact angle. Additionally, according to the principles of error analysis, an error transfer function is derived to evaluate the effect of measurement error on contact angle. Finally, the modified formula presented in this paper is applied to calculate the tensile strength of sandstone under both flat-platen and curved-jaw loading conditions. The results are then compared with those obtained using a classical formula. The theoretical analysis shows that the classical formula underestimates the tensile strength of materials at small contact angles, whereas it overestimates the tensile strength at large contact angles. Additionally, measurement errors in the contact angle have a certain influence on the determination of <i>σ</i><sub>t</sub>. For the case of contact semi-angle <i>γ</i> ≥ 10° with measurement error Δ<i>γ</i> ≤ 1°, the tensile strength determination error remains below 5%. The experimental results show that the classical formula yields lower tensile strength values for sandstone under flat-platen loading compared to curved-jaw loading, whereas the proposed modified formula demonstrates excellent consistency between both loading configurations. The modified formula accounts for the dual-aspect influence of contact angle on tensile strength determination: (i) qualitative—governing the fracture initiation position of the disc, and (ii) quantitative—modulating the magnitude distribution of internal stress components.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011638","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":"Study on hardening and damage behaviors of Ti6Al4V alloy based on WOA-BP neural network","authors":"Hao Zhang, Qinghui Wu, Shu Yuan, Tianlong Fu, Haipeng Song, Ganyun Huang","doi":"10.1007/s00419-025-02930-4","DOIUrl":"10.1007/s00419-025-02930-4","url":null,"abstract":"<div><p>Ti6Al4V alloy is widely used in aerospace, marine, and chemical industries due to its excellent specific strength and good biocompatibility. Understanding the damage and fracture mechanism of Ti6Al4V is crucial for the practical applications. In this work, the deformation and failure behaviors of Ti6Al4V were studied by digital image correlation method. Post-fracture surface analysis was performed to investigate the influence of stress triaxiality on failure behavior. A machine learning-based identification strategy was proposed to determine the strain hardening and Johnson–Cook damage model parameters. The datasets were obtained by finite element simulations for training the artificial neural network (ANN) models, which were utilized to establish the relation between the mechanical response and model parameters. The effect of ANN structure hyperparameters on prediction performance was discussed and whale optimization algorithm (WOA) could improve the prediction accuracy of neural network model. The results indicated that the WOA algorithm optimized three-layer BP neural network with 16 hidden neurons and activation functions of tansig + tansig can be used to effectively identify the plastic and damage model parameters of Ti6Al4V alloy.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011816","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}
Mustafa Buğday, Khaled Saleh Aldoukali Matoug, Ismail Esen
{"title":"Thermomechanical vibration of biocompatible sandwich plates with graphene-reinforced foam core under mechanical and thermal loads","authors":"Mustafa Buğday, Khaled Saleh Aldoukali Matoug, Ismail Esen","doi":"10.1007/s00419-025-02936-y","DOIUrl":"10.1007/s00419-025-02936-y","url":null,"abstract":"<div><p>This study models and analyzes the thermomechanical vibration behavior of biocompatible sandwich plates under compressive forces, thermal fields, and magnetic fields, employing high-order plate theory. The sandwich plate is composed of a solid and foam structured ZK60 magnesium alloy reinforced with graphene in the core layer, with surface layers consisting of functionally graded ZK60 ceramic material in the inner sections and zirconia ceramic material in the outer sections. The results indicate that the metal foam structure in the core layer and the distribution of metal ceramic materials in the surface layers significantly influence the thermomechanical vibration behavior of the sandwich plate. The application of an external magnetic field was found to enhance the thermal buckling resistance of the sandwich plate. The study results indicate that the wave propagation characteristics of the sandwich plate can be significantly influenced by different foam structures in the core and top layers, as well as by variations in material distribution qualities. The study’s findings are expected to substantially enhance the existing body of research and are applicable to emerging applications in fields such as sonar radars, aircraft, and marine vehicle stealth technologies.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929342","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}
Alwaleed Kamel, Manar. Rabea, Kh. Lotfy, Amr M. S. Mahdy, E. S. Elidy
{"title":"Photothermal dynamic waves in semiconductors: a dual-phase-lag model with two temperature, hydrostatic stress, and electrical conductivity effects","authors":"Alwaleed Kamel, Manar. Rabea, Kh. Lotfy, Amr M. S. Mahdy, E. S. Elidy","doi":"10.1007/s00419-025-02933-1","DOIUrl":"10.1007/s00419-025-02933-1","url":null,"abstract":"<div><p>The dual-phase-lag (DPL) model and Lord–Shulman (LS) theories, incorporating a single relaxation time, are utilized to analyze the impact of hydrostatic initial stress on a medium. A novel model will be introduced, utilizing two-temperature factors, to improve the photothermal theory. This study analyzes the effects of changing thermal and electrical conductivity. We examined the phenomenon of thermal loading on the exposed surface of an indefinitely extending semiconducting material in one dimension. This medium was also affected by plasma waves and the mechanical force generated during a photothermal process. The exact values of the variables in question are obtained using the Laplace transform (LT) approach. Furthermore, the two values of temperature coefficients were obtained by analytical methods. The field quantities are exhibited as numerical results in the physical domain and visually represented to illustrate the influence of distinct characteristics, such as electrical conductivity. The findings are compared with and without two-temperature components, as well as for two distinct values of the hydrostatic starting stress. A comparison is made between the computed variables obtained from generalized thermoelasticity using the DPL model and the LS theory. This comparison is performed in the absence and presence of the electrical conductivity parameter.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929343","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}
Chaozhi Yang, Yi Sun, Zhiqiang Yang, Shuai Ma, Zhengxuan Guan
{"title":"The study on the decay law of Weibull distribution shape parameters for the residual strength of composite materials","authors":"Chaozhi Yang, Yi Sun, Zhiqiang Yang, Shuai Ma, Zhengxuan Guan","doi":"10.1007/s00419-025-02932-2","DOIUrl":"10.1007/s00419-025-02932-2","url":null,"abstract":"<div><p>During the fatigue process, the variability in the residual strength of the composite gradually increased. This paper examined the transformation law of Weibull parameters for residual strength as a function of cycle count using experimental data and a literature review. The findings indicated that the attenuation of the shape parameters was tied to the degradation behavior of residual strength. Data from three distinct composite systems further indicate an approximately linear relationship between the shape parameter and residual strength, although additional validation is required under other loading and material conditions. A revised Weibull distribution model was introduced, enhancing the decay law of the shape parameters. The model better described the shape parameter, enabling accurate prediction of the variability in residual strength. With known Weibull parameters for material strength and fatigue performance, along with the law governing the weakening of residual strength, the probability distribution of strength after any number of cycles could be estimated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926989","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":"Immersed isogeometric analysis with boundary conformal quadrature for finite deformation elasticity","authors":"Yusuf T. Elbadry, Pablo Antolín, Oliver Weeger","doi":"10.1007/s00419-025-02924-2","DOIUrl":"10.1007/s00419-025-02924-2","url":null,"abstract":"<div><p>Numerical simulation of complex geometries can be an expensive and time-consuming undertaking, in particular due to the lengthy preparation of geometry for meshing and the meshing process itself. To tackle this problem, immersed boundary and fictitious domain methods rely on embedding the physical domain into a Cartesian grid of finite elements and resolving the geometry only by adaptive numerical integration schemes. However, the accuracy, robustness, and efficiency of immersed or cut cell approaches depends crucially on the integration technique applied on trimmed cells. This issue becomes more apparent in nonlinear problems, where intermediate solution steps are necessary to achieve convergence. In this work, we adopt an innovative algorithm for boundary conformal quadrature that relies on a high-order B-spline re-parameterization of trimmed elements to address small and large deformation elasticity problems. We accomplish this using spline-based immersed isogeometric analysis, which eliminates the need for body conformal finite element mesh. The integration points are obtained by applying classical Gauss quadrature to conformal re-parameterizations of the cut elements, whereas the discretization itself is not refined. This ensures a precise integration with minimum quadrature points and degrees of freedom. The proposed immersed isogeometric analysis with boundary conformal quadrature is evaluated on benchmark problems for 2D linear and nonlinear elasticity. The results show convergence with optimal rates in <i>h</i>-and <i>k</i>-refinement, thus demonstrating the efficiency and the precision of the method. As demonstrated, in conjunction with the simple to implement penalization and deformation map resetting approaches in the fictitious domain, it performs robustly also for finite deformations. Furthermore, it is exemplified that the method can be easily applied for multiscale homogenization of microstructured materials in the large deformation regime.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02924-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923349","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":"Wave dispersion analysis with FGM face layers and GPL-reinforced metallic foam core thermally loaded sandwich nanoplate using NSGT","authors":"Adem Fatih Ozalp, Ismail Esen","doi":"10.1007/s00419-025-02919-z","DOIUrl":"10.1007/s00419-025-02919-z","url":null,"abstract":"<div><p>This study investigates the wave propagation characteristics of functionally graded ZrO<sub>2</sub> and Nickel sandwich surface plate with Nickel foam core under various influencing factors, including power-law index, temperature rise, porosity, nonlocal parameter, size parameter, and graphene platelet reinforcement (GPLR) as well as different core distributions. Flexural, longitudinal, and shear wave modes were analyzed using Hamiltonian principle in order to establish small-scale (axial-shear-bending) governing equations utilizing refined shear deformation theory (RSDT) of plate in combination with nonlocal strain gradient theory (NSGT) and validated against published results. The wave responses of the nanoplate, considered with free boundary conditions, are analytically obtained by solving the governing equations. The effects of surface material gradation, thermal expansion, and elastic moduli on phase velocity, wave frequency, and group velocity were systematically explored. Results indicate that a zero-power index surface (ceramic) yields the highest wave properties due to superior stiffness while rising temperature and increasing foam porosity reduce wave velocities and frequencies due to softening effects. Nonlocal parameter increments lower phase and group velocities, whereas size parameter enhancements improve wave properties. Additionally, GPL reinforcement significantly enhances wave propagation behavior, demonstrating its potential for optimizing nanoplate performance. The study offers crucial insights for designing FG nanoplates for advanced thermal and mechanical applications, highlighting the tunability of wave propagation through material and structural modifications.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914693","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":"Correction: Effect of temperature and moisture on static and dynamic behavior of delaminated composite structure and control using integrated AFC","authors":"Jayant Prakash Varun, Prashanta Kr. Mahato","doi":"10.1007/s00419-025-02916-2","DOIUrl":"10.1007/s00419-025-02916-2","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 9","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144918257","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}