Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh
{"title":"Integrated design of tensile membrane structures using scientific machine learning including wrinkling considerations","authors":"Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh","doi":"10.1016/j.mechrescom.2025.104468","DOIUrl":"10.1016/j.mechrescom.2025.104468","url":null,"abstract":"<div><div>Tensile membrane structures (TMS) are extremely popular these days owing to their aesthetic appeal, lightweight and their ability to cover large expansive areas. However, the design of TMS involves two computationally challenging steps: (a) form-finding — to find the initial equilibrium shape subjected to the given prestress and boundary conditions and (b) Load analysis — to determine whether the obtained form can resist design loads. Furthermore, the membrane wrinkling phenomena causes even more difficulties in load analysis frameworks. Traditional mesh-based analysis frameworks suffer from ill-conditioned stiffness matrix and convergence issues that can arise due to wrinkling. Hence, in this study a mesh-less framework for load analysis is proposed by posing the load analysis problem as a direct energy minimization problem and solving it using a Quasi Newton optimizer. Modified potential energy formulations for wrinkling considerations incorporated in the mesh-free approach are also proposed. The analysis is performed by employing gradient-enhanced physics-informed neural networks (gPINN) aided by the theory of functional connections (TFC) ensuring kinetically admissible field variables without the requirement of an additional loss function for enforcing the essential boundary conditions. The analysis framework eliminates the requirement of calculation of an explicit stiffness matrix and the penalty parameter as well. Additionally, a vectorized implementation is incorporated, making the proposed approach computationally feasible. Finally, an integrated sequential form-finding and load analysis framework for seamless design and analysis of frame-supported and cable-supported TMS is proposed. Extensive numerical case studies are performed to test the efficacy of the proposed framework. The computational efficiency of the proposed method in comparison to a traditional mesh-based method is also noted.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104468"},"PeriodicalIF":1.9,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144563423","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":"Vibrational resonance in nonlinear vibration isolation systems","authors":"T.O. Roy-Layinde , K.A. Omoteso , J.A. Laoye , U.H. Diala","doi":"10.1016/j.mechrescom.2025.104470","DOIUrl":"10.1016/j.mechrescom.2025.104470","url":null,"abstract":"<div><div>In this study, we investigate vibrational resonance (VR) in a Duffing-type vibration isolation system using analytical and numerical approaches. Our results demonstrate that the response amplitude at low-frequency (LF) excitation can be enhanced by modulating system parameters, particularly dual-frequency excitation and nonlinear stiffness. The analytical and numerical results show strong agreement, validating the approaches. Additionally, we analyze the influence of system parameters on different resonance states. Notably, we demonstrate that the high-frequency (HF) input parameters, in conjunction with the nonlinear damping and stiffness coefficients, effectively suppress the system’s resonance dynamics. These findings highlight the potential of parameter modulation to suppress vibrations and tune resonance in a Vibration Isolation System (VIS), enabling applications in mechanical systems, signal processing, and energy harvesting systems.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104470"},"PeriodicalIF":1.9,"publicationDate":"2025-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517653","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":"On a generalized principle of fractal stiffness self-similarity","authors":"Marcelo Epstein","doi":"10.1016/j.mechrescom.2025.104447","DOIUrl":"10.1016/j.mechrescom.2025.104447","url":null,"abstract":"<div><div>The principle of fractal stiffness self-similarity is expanded to encompass structures with several differently-scaled contributors to the total stiffness matrix. The generalized principle is applied to solve the problem of a fractal triangular gasket that incorporates drilling modes, with a view to further applications to the modelling of fractal shells.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104447"},"PeriodicalIF":1.9,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144513896","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 perforation behavior of closed-cell aluminium foams and foam core sandwich panels with various shaped projectile tips","authors":"M.A. Islam , M.A. Kader , J.P. Escobedo","doi":"10.1016/j.mechrescom.2025.104472","DOIUrl":"10.1016/j.mechrescom.2025.104472","url":null,"abstract":"<div><div>This paper investigates the shape effects of projectile tips on the perforation behavior of closed-cell aluminium foams and foam core sandwich panels under low velocity impact. The density and thickness of the selected foam were 0.5 g/cc and 21 mm, respectively. The thickness of the aluminium face sheets used in the sandwich panel was 1 mm. The impact perforation experiments were conducted using fifteen additively manufactured aluminium alloy projectile tips of various cone angles and geometrical shapes. The tests were carried out using an instrumented drop tower with an impact velocity of 6 ms<sup>-1</sup> (impact energy 105 J) for the foam panels and 10 ms<sup>-1</sup> (impact energy 274 J) for the foam core sandwich panels. The impact responses of the foams and foam core sandwich panels, such as perforation resistance force, perforation energy absorption, and failure modes for the studied projectile tips, were investigated. The results indicate that the projectile tip shape and angle have an influence on the impact responses of foams and foam core sandwich panels. The highest peak force and energy absorption enhancement are observed for the pencil and cone-type projectile, respectively, for changing the angles from 20° to 30°. An approximately three-fold rise in energy absorption is observed for the sandwich panels because of the additional force required to perforate the face sheets.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104472"},"PeriodicalIF":1.9,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517654","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}
Sanja J. Mihok, Armin D. Berecki, Lidija Z. Rehlicki Lukešević
{"title":"Post-critical behavior of cantilever simply supported beam on an elastic foundation","authors":"Sanja J. Mihok, Armin D. Berecki, Lidija Z. Rehlicki Lukešević","doi":"10.1016/j.mechrescom.2025.104469","DOIUrl":"10.1016/j.mechrescom.2025.104469","url":null,"abstract":"<div><div>In this paper, we analyze the stability of a cantilever beam simply supported on a Winkler-type elastic foundation. We examine both the nonlinear and linearized problems, as well as the numerical results of the linearized problem with respect to parameters describing the critical force and foundation stiffness. We prove that, for the unique values of the critical force and foundation stiffness, we obtain exactly one nontrivial solution corresponding to the buckling mode, which is not the case for a simply supported beam on a Winkler-type foundation. We also perform a bifurcation analysis of the nonlinear problem using the Lyapunov–Schmidt reduction method and present the bifurcation pattern.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104469"},"PeriodicalIF":1.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144510887","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":"Mathematical solutions for moving generalized electric-magnetic-polarization saturation models in magneto-electro-elastic materials via weight functions","authors":"Sandeep Singh","doi":"10.1016/j.mechrescom.2025.104464","DOIUrl":"10.1016/j.mechrescom.2025.104464","url":null,"abstract":"<div><div>This work presents an advanced analytical framework for solving moving generalized electric-magnetic-polarization saturation models in magneto-electro-elastic materials. The core methodology employs a weight function approach, which serves as a kernel to map applied electro-mechanical loads to stress intensity factors. The derivation involves solving boundary conditions using the crack opening displacement solution. A key contribution is the generalized strip yield model introduces a non-linear function <span><math><mrow><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> in the form <span><math><mrow><mo>(</mo><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>=</mo><mfrac><mrow><mrow><mo>|</mo><msup><mrow><mi>x</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>|</mo></mrow></mrow><mrow><msup><mrow><mi>b</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></mfrac><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>)</mo></mrow></math></span>. This allows flexibility in modeling saturation effects under varying displacement fields. Different <span><math><mrow><mi>n</mi><mo>−</mo></mrow></math></span> values correspond to different material responses, enabling the model to capture a range of non-linear behaviors. Validate the generalized strip yield model’s results by comparing them with solutions obtained via the stress function approach. Perform simulations to study crack-face boundary conditions under prescribed electro-mechanical loading. The results illustrate how SIFs vary with the size of the induction zone, saturation parameters, and the applied electro-mechanical fields. The agreement between the generalized model and direct analytical methods supports its accuracy.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104464"},"PeriodicalIF":1.9,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144364376","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":"Vibration analysis of functionally graded nanobeam in thermal environment","authors":"Chen Chen, Haowen Yan","doi":"10.1016/j.mechrescom.2025.104471","DOIUrl":"10.1016/j.mechrescom.2025.104471","url":null,"abstract":"<div><div>Functionally graded (FG) nanobeams, as a key application of functionally graded materials (FGMs), demonstrate unique thermomechanical properties that make them particularly suitable for Micro-electromechanical Systems (MEMS) and other nanoscale applications. This study presents an analytical approach for investigating their vibration characteristics under linear and nonlinear temperature fields. The model integrates Euler–Bernoulli beam theory with nonlocal elasticity theory, thereby simultaneously capturing material gradation effects and size-dependent phenomena. A novel analytical framework is developed by applying the transfer function method (TFM) for the first time to the nonlocal Euler–Bernoulli beam model, enabling efficient analytical solution for natural frequencies. Unlike traditional numerical methods, the proposed method enhances computational efficiency and allows unified treatment of various boundary conditions. Numerical studies are conducted to comprehensively evaluate the effects of environment fields, constituent volume distribution, slenderness ratio, nonlocal parameters, and boundary conditions on the vibration behavior of FG nanobeams. The results offer valuable insights for the design and optimization of MEMS devices, thermally stressed aerospace components, and microscale biomedical structures operating in complex thermal environments.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104471"},"PeriodicalIF":1.9,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489417","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":"On the Maxwell–Eshelby relation in the theory of 6-parameter elastic shells","authors":"Mircea Bîrsan , Milad Shirani","doi":"10.1016/j.mechrescom.2025.104451","DOIUrl":"10.1016/j.mechrescom.2025.104451","url":null,"abstract":"<div><div>In this work, we first derive jump conditions in addition to the balance laws and boundary conditions for 6-parameter elastic shells with a discontinuity curve. Furthermore, we obtain Hadamard compatibility conditions that must be satisfied by strain measures in the presence of a discontinuity curve. By using energy-minimizing conditions (rank-one convexity conditions), we derive Maxwell–Eshelby relations that must be satisfied.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104451"},"PeriodicalIF":1.9,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144472272","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}
Luca Parente , Daniela Addessi , Paolo Di Re , Cristina Gatta , Elio Sacco
{"title":"Micromechanical buckling analysis of soft lattice metamaterials accounting for randomly distributed imperfections","authors":"Luca Parente , Daniela Addessi , Paolo Di Re , Cristina Gatta , Elio Sacco","doi":"10.1016/j.mechrescom.2025.104450","DOIUrl":"10.1016/j.mechrescom.2025.104450","url":null,"abstract":"<div><div>This paper investigates the mechanical performances of soft lattice metamaterials composed of beam-like periodic arrangements. Particularly, the effect of geometric defects, caused by the manufacturing processes on the nonlinear buckling response, is analyzed with the final aim of artificially designing the imperfections to drive buckling loads and collapse shapes. To this end, the lattice structures are modeled as the assembly of shear-deformable finite element beams under nonlinear geometric assumption. Firstly, the linear buckling modes are evaluated with reference to the perfect ideal material and, then, these are used to construct the model of the imperfect lattice structures by applying an ad hoc procedure that accounts for the randomness of the geometric imperfections. Sensitivity analyses are performed to evaluate the influence of several factors, such as boundary conditions, scale effect, maximum imperfection size and buckling modes considered to generate the imperfect structures.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104450"},"PeriodicalIF":1.9,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481266","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}
Giulio Sanna , Mario Pistis , Ivan Giorgio , Victor A. Eremeyev , Mario Spagnuolo
{"title":"New hinge design for fibrous metamaterial enables for filament 3D printing","authors":"Giulio Sanna , Mario Pistis , Ivan Giorgio , Victor A. Eremeyev , Mario Spagnuolo","doi":"10.1016/j.mechrescom.2025.104452","DOIUrl":"10.1016/j.mechrescom.2025.104452","url":null,"abstract":"<div><div>Fibrous metamaterials exhibit remarkable mechanical properties. For their experimental study, additive fabrication is frequently employed. The main problem one faces, when trying to produce by 3D printing a specimen to test, lies in the realization of elements connecting the fibers. This has been achieved using selective laser sintering (SLS) techniques, but appears to be very hard to perform with other printing techniques, like the filament-based one. In this work, we show, within the framework of the particular class of fibrous metamaterials known as pantographic metamaterials, a novel design for connecting hinges specifically optimized for filament-based 3D printing. This has a first fundamental advantage with respect to SLS: filament printing is extremely cheaper and can be accessible nowadays to everybody. Moreover, this hinge design enables faster prototyping, broader customization, and greater reliability in fibrous metamaterial structures.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104452"},"PeriodicalIF":1.9,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321224","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}