{"title":"Design and analysis aspect of metal expansion bellows: A review","authors":"S.D. Wankhede , S.H. Gawande","doi":"10.1016/j.finmec.2023.100244","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100244","url":null,"abstract":"<div><p>Bellows are flexible structures and widely used in different industries to accommodate the internal pressure and deformations. This paper focuses an extensive review on analytical, numerical, and experimental approaches followed by various researchers with respect to the design aspects and applications of metal expansion bellows. The design aspect has been differentiated in three categories as mechanical design, thermal analysis, and forming process of bellows. While, the applications of bellows are categorized as automobile, piping systems, nuclear plant, and power generation units. In this paper, different stresses and deformations with internal and external boundary conditions are discussed. The effect of geometrical parameters on various design aspects will be the key attraction for leading researchers. It is found that various design aspects of bellows are related to deformation and stresses due to internal and external pressure, while a limited research work has been performed on the thermal study of bellows. This work will be useful for the bellows design for different applications.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100244"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666359723000793/pdfft?md5=277352e5313070b0a6e9c875952b1d0c&pid=1-s2.0-S2666359723000793-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92046265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic amplification factor and interactions of a beam under compressive axial force and load travelling at varying velocity","authors":"Babatope Omolofe , Emmanuel O. Adara","doi":"10.1016/j.finmec.2023.100241","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100241","url":null,"abstract":"<div><p>In this article, the deflection profile and response characteristic of axially prestressed continuous beam under the actions of load travelling at non-uniform velocity is explored. To achieve this, The governing equation is transformed using weighted residual method to obtain a set of coupled second-order Ordinary Differential Equations (ODEs) governing the amplitude factors of the beam-mass system. This set of ODEs is further simplified by applying a modified asymptotic method of Struble. Impulse response function is finally employed to obtain solutions representing the responses of this structural member to accelerating masses. Dynamic time history is carried out. Deformation and responses due to the stress in the structure are evaluated for different parameters. Dynamic effects of decelerating, accelerating and uniform velocity-type of motions on the dynamic amplification factor (DAF) and response characteristics are extensively studied for various vital structural parameters such as the beam span length, foundation stiffness, prestress, rotatory inertia correction factor, load position and velocity. The values of the amplification factors (DAF) against various pertinent parameters are presented in plotted curves for the pinned-pinned beam. It is found that, for accelerating, decelerating and constant velocity-type of motion, the value of the dynamic amplification factor increases as the values of axial force, foundation subgrade, and rotatory inertia factor increase. Various useful results in perfect agreement with existing studies are presented. It is further established that variations of the various structural parameters of interest significantly alter the response characteristics of the vibrating system.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100241"},"PeriodicalIF":0.0,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49755587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computational modelling and analysis of hard tissue behavior around 0.5 mm and 0.85 mm platform switched abutment using 3D finite element analysis","authors":"Mohammad Afazal , Saba Afreen , Arnab Chanda","doi":"10.1016/j.finmec.2023.100243","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100243","url":null,"abstract":"<div><p>Permanent tooth avulsion is a common but extremely serious dental injury that can negatively affect both economic output and lifestyle. Even though it is not a disease, no one is ever completely safe from the possibility of suffering from these disastrous injuries. Dental implants play a vital role in the treatment of such injuries (tooth loss). This work was focused on to find the effects of two different platform switched abutment-implant assembly on hard tissues (Cortical and cancellous) bone. Materialized Mimics Medical Software was used for processing clinical imaging (CBCT) data of mandibular bone and micro-CT data of implant (5.5 × 9.5 mm), Abutments (Pt. sw. I and Pt. sw. II) and final 3D model of all parts were obtained by Fusion 360 CAD software and implanted into a right mandible bone block. Implant-Abutment with different switching assembly as platform switched-I (Pt. Sw. I) Ø5.5-mm implant and Ø3.8-mm abutment and the platform switched-II (Pt. Sw. II) Ø5.5-mm implant and Ø4.5-mm abutment were compared. Each model was subjected to 50 N, 100 N and 150 N longitudinal and lateral loads at occlusal surface of the abutment to evaluate the mechanical parameters. ANSYS 2020R1 was used to conduct the computational analysis. Mechanical characteristics such as von-Mises stresses and total deformation were measured in the hard tissues using finite element modelling. Under the application of different loads the cancellous bone experiences maximum von misses stress 4.7 MPa and 5.4 MPa for Pt. Sw. I and Pt. Sw. II respectively under longitudinal load and 7.4 MPa and 8.7 MPa for Pt. Sw. I and Pt. Sw. II respectively under lateral load. Similar trends were observed for cortical bone. While maximum total deformation of 2.1 µm (Pt. Sw. I) and 2.2 µm (Pt. Sw. II) under longitudinal load and 4.4 µm and 4.6 µm in cancellous bone and cortical bone under longitudinal load and 4.4 µm (Pt. Sw. I) and 4.6 µm (Pt. Sw. II) under lateral load in cancellous and 7.5 µm (Pt. Sw. I) and 8 µm (Pt. Sw. II) in cortical bone were recorded. The analysis may help to prevent the progression of marginal bone loss (MBL) because lower results for these variables indicated for higher platform switching in marginal bone. The findings of computational frameworks can help clinicians and other medical professionals make more informed decisions when selecting a treatment strategy from the many options available.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100243"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49752535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shiva Prashanth Kumar Kodicherla , Minyi Zhu , Guobin Gong , Stephen Wilkinson
{"title":"Exploring the undrained behaviour of granular clumps after isotropic and Ko-consolidation paths using DEM","authors":"Shiva Prashanth Kumar Kodicherla , Minyi Zhu , Guobin Gong , Stephen Wilkinson","doi":"10.1016/j.finmec.2023.100242","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100242","url":null,"abstract":"<div><p>This paper investigates the undrained behaviour of granular clumps after isotropic and <em>K</em><sub>o</sub>-consolidation paths using a three-dimensional discrete element method (3D-DEM). Four randomly chosen clumped particles with a wide range of densification indexes, <em>I</em><sub>D</sub>, and mean confining stresses, <em>p</em>' were considered. The specimens were sheared to the deviatoric strain, <span><math><msub><mrow><mi>ε</mi></mrow><mi>q</mi></msub></math></span> of 40 % to reach the critical state (CS) conditions. It was found from the results that a unique critical state line (CSL) was achieved, irrespective of consolidation paths. The micro-mechanical quantities such as the average coordination number (CN) and von Mises fabric in terms of the second invariant of deviatoric fabric, <em>F</em><sub>vM</sub>, also reached CS values. Irrespective of the consolidation paths, unique relationships were found between <span><math><mrow><mi>e</mi><mo>−</mo><mi>log</mi><mo>(</mo><msup><mrow><mi>p</mi></mrow><mo>′</mo></msup><mo>)</mo></mrow></math></span>and <span><math><mrow><mi>C</mi><mi>N</mi><mo>−</mo><mtext>log</mtext><mo>(</mo><msup><mi>p</mi><mo>′</mo></msup><mo>)</mo></mrow></math></span>. The stress-fabric joint invariant, <em>K</em><sub>F</sub> established a unique relationship with <span><math><msup><mrow><mi>p</mi></mrow><mo>′</mo></msup></math></span>and <em>e</em>, which forms a relationship in the <span><math><mrow><msub><mi>K</mi><mi>F</mi></msub><mo>−</mo><msup><mi>p</mi><mo>′</mo></msup><mo>−</mo><mi>e</mi></mrow></math></span> space and the projection of this relationship in the <span><math><mrow><mi>e</mi><mo>−</mo><mi>log</mi><mo>(</mo><msup><mrow><mi>p</mi></mrow><mo>′</mo></msup><mo>)</mo></mrow></math></span> plane confirms the classical CSL. Moreover, the flow potential (<em>u</em><sub>F</sub>), stress ratio at instability (<span><math><msub><mi>η</mi><mrow><mi>I</mi><mi>S</mi></mrow></msub></math></span>), and average coordination number at instability (CN<sub><em>IS</em></sub>) showed no dependency on the consolidation paths, while a dependency was observed for the second-order deviator fabric, <em>F</em><sub>vM</sub>.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100242"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49752319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sikang Yan , Alexander Schlüter , Erik Faust , Ralf Müller
{"title":"Configurational forces in a phase field model for the cyclic fatigue of heterogeneous materials","authors":"Sikang Yan , Alexander Schlüter , Erik Faust , Ralf Müller","doi":"10.1016/j.finmec.2023.100239","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100239","url":null,"abstract":"<div><p>The phase field model - a powerful tool - has been well established to simulate the fatigue crack evolution behavior. However, it is still hard to understand how each energy component in the phase field model contributes to crack evolution since the phase field method is based on an energetic criterion. In this work, we borrow the concept of configurational forces and show a straightforward way to examine the energetic driving forces in the phase field fatigue model. Results show that different parts of the configurational forces provide different energetic contributions during crack propagation.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100239"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49755577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Experimental and numerical investigation on GFRP- aramid honeycomb sandwich panel under bird impact: Estimation of penetration velocity","authors":"M. Karthick , R. Santhanakrishnan","doi":"10.1016/j.finmec.2023.100240","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100240","url":null,"abstract":"<div><p>In order to effectively mitigate the risk of bird strikes, it is imperative that radomes situated in areas prone to such incidents possess the capability to endure the impact loads caused by bird collisions. Additionally, these radomes must maintain their electromagnetic transparency. Therefore, glass fibre reinforced polymer (GFRP) with Nomex honeycomb sandwich material is used for radome structural design. The current research is intended to examine the dynamic behavior of sandwich composite panels in order to determine the penetration velocity by testing them at three distinct bird impact velocities, such as 88 m/s, 135 m/s, and 153 m/s. It is necessary to find the velocity at which the bird will penetrate / rupture the radome for the safety of Antenna / Electronic units mounted behind the radome. Finite element explicit code LS-DYNA simulates all three impacts. Extension of the simulation estimated the threshold bird impact velocity to be 146 m/s at which it penetrates the sandwich panel under fixture-controlled boundary condition.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100240"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49755579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dhiraj P. Bhaskar, Santosh V. Bhaskar, Sachin S. Raj, L.S. Dhamande
{"title":"Numerical investigation of sandwich plate in bending by a new inverse shear deformation theory based on finite element analysis","authors":"Dhiraj P. Bhaskar, Santosh V. Bhaskar, Sachin S. Raj, L.S. Dhamande","doi":"10.1016/j.finmec.2023.100238","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100238","url":null,"abstract":"<div><p>Employing innovative kinematic function, a new inverse trigonometric shear deformation theory (nITSDT), variationally suitable, is developed to acquire pertinent data on the bending of sandwich plates subjected to transverse loads with variable aspect ratios(S). This nITSDT eliminates the need for shear correction factors since the transverse shear stress is directly determined by constitutive relations on the two extreme faces of sandwich plate satisfying the shear stress free surface circumstances. The governing equations and boundary conditions of the nITSDT are obtained by applying the dynamic version of the virtual work principle. For sandwich plates with simplly supports, solution is given by MATLAB code using Finite Element (FE) based on nITSDT. The findings of displacements and stresses are supported by those of more comprehensive theories, and the exact solution serves to highlight the viability of the proposed theory.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100238"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49759609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Local strain evolution and microstructural characterisation of hydrogen-induced damage at different strain rates in dual phase (DP 780) steel","authors":"Anuranjan Kumar, Surajit Kumar Paul","doi":"10.1016/j.finmec.2023.100237","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100237","url":null,"abstract":"<div><p>Effect of strain rate on the damage behaviour of hydrogen (H)-charged dual phase (DP 780) steel via the <em>in-situ</em> digital image correlation (DIC) technique is investigated in this work. Since stress concentration sites like notches are common in engineering practice, two types of uniaxial tensile tests have been carried out using smooth and notch tensile specimens for detailed analysis. The study reveals the significance of hydrogen embrittlement in DP 780 steel, as no strain rate effect is observed on the mechanical property in the case of an uncharged smooth tensile specimen. However, a significant effect of strain rate is detected after the H-charging. Hydrogen showed a lesser ability to aid the failure process when the applied strain rate is raised, as it could diffuse over a limited distance during the tensile test. The local axial and width strains, along with necking and fracture strains, are quantified for each specimen to understand the strain rate effect better. A centre-line crack is observed in every H-charged specimen's fracture surface owing to the presence of MnS inclusion in DP steel along the central line and its interaction with the atomic hydrogen. Moreover, the degree of hydrogen embrittlement is substantially higher in the notch tensile specimens than in the smooth ones.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100237"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49752541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Vahid Daghigh , Hamed Edalati , Hamid Daghigh , Davy M. Belk , Kamran Nikbin
{"title":"Time-dependent creep analysis of ultra-high-temperature functionally graded rotating disks of variable thickness","authors":"Vahid Daghigh , Hamed Edalati , Hamid Daghigh , Davy M. Belk , Kamran Nikbin","doi":"10.1016/j.finmec.2023.100235","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100235","url":null,"abstract":"<div><p>Functionally graded materials (FGMs) are high temperature-resistant materials that can simultaneously maintain metallic tenacity and anti-corrosive properties. Nevertheless, using FGMs during a multi-year service life at ultrahigh temperatures is crucial. Hence, the time-dependent creep response of variable-thickness rotating disks made of FGM is investigated. Four different disk profiles of linear, concave, convex, and uniform are considered. The material's creep properties are defined by the Bailey-Norton creep law. Loading is a rotation-based mechanical body force and a uniform temperature throughout the disk. Simultaneous solution of equilibrium, stress-strain, and strain-displacement equations yields a non-homogenous differential equation containing variable and time-dependent coefficients. In an attempt to optimize the computation cost, Bat and Fish algorithms were used to optimize the initial strain presumptions. Semi-analytical solution of this differential equation gives radial and circumferential stress histories and displacement histories. To confirm the solution method, initial thermo-elastic radial stress, and the effective stress history are validated with the existing literature; there is a good agreement between the results. In addition, the finite element software ABAQUS was used to model the FGM disk thermo-elastic behavior, and the result was compared with the semi-analytical solution results. This study emphasizes the significance of accounting for creep effects in the design of FGM rotating disks, as remarkable changes in their displacements and stresses occur over time. This study emphasizes the significance of accounting for creep effects in the design of FGM rotating disks, as notable changes in their displacements and stresses occur over time.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100235"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49755576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Belodedenko , O. Hrechanyі , T. Vasilchenko , A. Hrechana , Y. Izhevskyi
{"title":"Determination of the critical cyclic fracture toughness for the mode II in mixed fracture of structural steels","authors":"S. Belodedenko , O. Hrechanyі , T. Vasilchenko , A. Hrechana , Y. Izhevskyi","doi":"10.1016/j.finmec.2023.100236","DOIUrl":"https://doi.org/10.1016/j.finmec.2023.100236","url":null,"abstract":"<div><p>The developed method of processing experimental data from tests performed according to the four-point asymmetric bending scheme made it possible to establish the coefficient of proportionality between the modes of failure I and II, which for structural steels is in the range of 2,5÷3<em>.</em> The established longevity before the appearance of the critical speed according to the developed models is within the limits of the natural dispersion inherent in fatigue failure, which indicates the effectiveness of the developed algorithm and the correctness of the determined indicators of resistance to failure. The problem of the appearance of an oblique crack during tests on four-point asymmetric bending has been solved. It can be assumed that about 90% of the growth of an oblique crack is caused by the contribution of the mode of failure II.</p></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"13 ","pages":"Article 100236"},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49752359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}