Pub Date : 2025-01-08DOI: 10.1016/j.compstruc.2025.107647
Viet-Hung Truong, Sawekchai Tangaramvong, Hoang-Anh Pham, Manh-Cuong Nguyen, Rut Su
Metaheuristic algorithms have proven effective for complex optimization problems, including truss design, yet many require specific parameter settings, leading to increased complexity. This paper proposes an archive-based parameter-free multi-objective Rao-Differential Evolution (APMORD) algorithm for bi-objective optimization of truss design problems. APMORD simplifies the process by integrating the Rao-1 mutation technique with the differential evolution (DE) framework, eliminating the need for specific parameter setups. An external best archive (BA) enhances the diversity and distribution of the Pareto set, while the dynamic archive-based method (dynABM) adjusts the population size to improve optimization efficiency. The performance of APMORD is evaluated across eight classical truss structure problems using several indicators, showcasing its superior effectiveness compared to recent metaheuristic techniques, especially in achieving a broader spread of optimal solutions. Furthermore, sensitivity analysis indicates that decreasing the population size while increasing the archive size significantly enhances the algorithm’s performance and improves the quality of the optimal solution set. These findings highlight APMORD’s contribution to advancing optimization strategies for truss structures, emphasizing its efficiency and adaptability in various optimization scenarios.
{"title":"An efficient archive-based parameter-free multi-objective Rao-DE algorithm for bi-objective optimization of truss structures","authors":"Viet-Hung Truong, Sawekchai Tangaramvong, Hoang-Anh Pham, Manh-Cuong Nguyen, Rut Su","doi":"10.1016/j.compstruc.2025.107647","DOIUrl":"https://doi.org/10.1016/j.compstruc.2025.107647","url":null,"abstract":"Metaheuristic algorithms have proven effective for complex optimization problems, including truss design, yet many require specific parameter settings, leading to increased complexity. This paper proposes an archive-based parameter-free multi-objective Rao-Differential Evolution (APMORD) algorithm for bi-objective optimization of truss design problems. APMORD simplifies the process by integrating the Rao-1 mutation technique with the differential evolution (DE) framework, eliminating the need for specific parameter setups. An external best archive (BA) enhances the diversity and distribution of the Pareto set, while the dynamic archive-based method (dynABM) adjusts the population size to improve optimization efficiency. The performance of APMORD is evaluated across eight classical truss structure problems using several indicators, showcasing its superior effectiveness compared to recent metaheuristic techniques, especially in achieving a broader spread of optimal solutions. Furthermore, sensitivity analysis indicates that decreasing the population size while increasing the archive size significantly enhances the algorithm’s performance and improves the quality of the optimal solution set. These findings highlight APMORD’s contribution to advancing optimization strategies for truss structures, emphasizing its efficiency and adaptability in various optimization scenarios.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"2 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-08DOI: 10.1016/j.compstruc.2024.107641
Saurav Sharma, Cosmin Anitescu, Timon Rabczuk
Flexoelectricity, the generation of electric field in response to a strain gradient, is a universal electromechanical coupling, dominant only at small scales due to its requirement of high strain gradients. This phenomenon is governed by a set of coupled fourth-order partial differential equations (PDEs), which require C1 continuity of the basis in finite element methods for the numerical solution. While Isogeometric analysis (IGA) has been proven to meet this continuity requirement due to its higher-order B-spline basis functions, it is limited to simple geometries that can be discretized with a single IGA patch. For complex domains, e.g., architected materials, which require more than one patch for discretization, IGA faces the challenge of C0 continuity across the patch boundaries. Here we present a discontinuous Galerkin method-based isogeometric analysis framework, capable of solving fourth-order PDEs of flexoelectricity in the domain of truss-based architected materials. An interior penalty-based stabilization is implemented to ensure the stability of the solution. The present formulation is advantageous over the analogous finite element methods since it only requires the computation of interior boundary contributions on the boundaries of patches. As each strut can be modeled with only two trapezoid patches, the number of C0 continuous boundaries is largely reduced. We consider four unit cells to construct the truss lattices and analyze their flexoelectric response. The truss lattices show a higher magnitude of flexoelectricity compared to the solid beam and retain this superior electromechanical response with the increasing size of the structure. This demonstrates the potential of architected materials to scale up flexoelectricity to larger scales, and achieve universal electromechanical response in meso/macro scale dielectric materials.
{"title":"A discontinuous Galerkin method based isogeometric analysis framework for flexoelectricity in micro-architected dielectric solids","authors":"Saurav Sharma, Cosmin Anitescu, Timon Rabczuk","doi":"10.1016/j.compstruc.2024.107641","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107641","url":null,"abstract":"Flexoelectricity, the generation of electric field in response to a strain gradient, is a universal electromechanical coupling, dominant only at small scales due to its requirement of high strain gradients. This phenomenon is governed by a set of coupled fourth-order partial differential equations (PDEs), which require <mml:math altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> continuity of the basis in finite element methods for the numerical solution. While Isogeometric analysis (IGA) has been proven to meet this continuity requirement due to its higher-order B-spline basis functions, it is limited to simple geometries that can be discretized with a single IGA patch. For complex domains, e.g., architected materials, which require more than one patch for discretization, IGA faces the challenge of <mml:math altimg=\"si2.svg\"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> continuity across the patch boundaries. Here we present a discontinuous Galerkin method-based isogeometric analysis framework, capable of solving fourth-order PDEs of flexoelectricity in the domain of truss-based architected materials. An interior penalty-based stabilization is implemented to ensure the stability of the solution. The present formulation is advantageous over the analogous finite element methods since it only requires the computation of interior boundary contributions on the boundaries of patches. As each strut can be modeled with only two trapezoid patches, the number of <mml:math altimg=\"si2.svg\"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> continuous boundaries is largely reduced. We consider four unit cells to construct the truss lattices and analyze their flexoelectric response. The truss lattices show a higher magnitude of flexoelectricity compared to the solid beam and retain this superior electromechanical response with the increasing size of the structure. This demonstrates the potential of architected materials to scale up flexoelectricity to larger scales, and achieve universal electromechanical response in meso/macro scale dielectric materials.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"8 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-08DOI: 10.1016/j.compstruc.2024.107599
J.R. Banerjee
Earlier research on the development of explicit algebraic expressions for the elements of the frequency-dependent mass, elastic and geometric stiffness matrices for free vibration analysis was carried out on Bernoulli-Euler, Timoshenko-Ehrenfest and axially loaded Bernoulli-Euler beams. Seeking solution for the correspondingly more difficult problem for an axially loaded Timoshenko-Ehrenfest beam seemed too difficult at the time when these earlier developments took place. Now, with the experience and knowledge gained, the difficulty is overcome in part by enhanced application of symbolic computing. Thus, the explicit algebraic expressions for the elements of the frequency-dependent mass, elastic and geometric stiffness matrices of an axially loaded Timoshenko-Ehrenfest beam are derived from first principles. The equivalency of these matrices when added altogether, with the dynamic stiffness matrix is ensured. The derived matrices are then applied using the Wittrick-Williams algorithm as a solution technique to investigate the free vibration characteristics of some illustrative examples. The results are discussed, and significant conclusions are drawn. The proposed method preserves the exactness of results in the same way as the dynamic stiffness method, but importantly, it opens the possibility of including damping in free vibration and response analysis when using exact methods such as the dynamic stiffness method.
{"title":"Frequency-dependent mass, elastic and geometric stiffness matrices of an axially loaded Timoshenko-Ehrenfest beam with applications","authors":"J.R. Banerjee","doi":"10.1016/j.compstruc.2024.107599","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107599","url":null,"abstract":"Earlier research on the development of explicit algebraic expressions for the elements of the frequency-dependent mass, elastic and geometric stiffness matrices for free vibration analysis was carried out on Bernoulli-Euler, Timoshenko-Ehrenfest and axially loaded Bernoulli-Euler beams. Seeking solution for the correspondingly more difficult problem for an axially loaded Timoshenko-Ehrenfest beam seemed too difficult at the time when these earlier developments took place. Now, with the experience and knowledge gained, the difficulty is overcome in part by enhanced application of symbolic computing. Thus, the explicit algebraic expressions for the elements of the frequency-dependent mass, elastic and geometric stiffness matrices of an axially loaded Timoshenko-Ehrenfest beam are derived from first principles. The equivalency of these matrices when added altogether, with the dynamic stiffness matrix is ensured. The derived matrices are then applied using the Wittrick-Williams algorithm as a solution technique to investigate the free vibration characteristics of some illustrative examples. The results are discussed, and significant conclusions are drawn. The proposed method preserves the exactness of results in the same way as the dynamic stiffness method, but importantly, it opens the possibility of including damping in free vibration and response analysis when using exact methods such as the dynamic stiffness method.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"44 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-06DOI: 10.1016/j.compstruc.2025.107644
Abdelrahman Kamal Hamed, Mohamed Kamel Elshaarawy, Mostafa M. Alsaadawi
Compressive strength is a key factor in the design and durability of concrete structures. Accurate prediction of compressive strength helps optimize material use and reduce construction costs. This study proposes a novel stacked model for predicting compressive strength, integrating three base models with linear regression. The base models include Artificial Neural Networks, Random Forest, and Extreme Gradient Boosting, while the stacked model uses Linear Regression as the metamodel. A dataset of 1,030 concrete mix samples covering eight critical input parameters, including cement, blast furnace slag, coarse aggregates, fine aggregates, fly ash, water, superplasticizer, and curing days, was used for training and evaluation. The dataset was split into training (80%), validation (10%), and testing (10%) subsets. The models were trained independently, and their predictions were used to develop the stacked model. Among the base models, the Extreme Gradient Boosting model achieved the highest accuracy, with an R2 of 0.947 during testing. However, the stacked model outperformed it, attaining an R2 of 0.953 in the testing phase. Shapley additive explanations analysis identified curing duration as the most influential factor in compressive strength prediction. A user-friendly graphical interface was developed to facilitate efficient prediction of compressive strength in concrete structures.
{"title":"Stacked-based machine learning to predict the uniaxial compressive strength of concrete materials","authors":"Abdelrahman Kamal Hamed, Mohamed Kamel Elshaarawy, Mostafa M. Alsaadawi","doi":"10.1016/j.compstruc.2025.107644","DOIUrl":"https://doi.org/10.1016/j.compstruc.2025.107644","url":null,"abstract":"Compressive strength is a key factor in the design and durability of concrete structures. Accurate prediction of compressive strength helps optimize material use and reduce construction costs. This study proposes a novel stacked model for predicting compressive strength, integrating three base models with linear regression. The base models include Artificial Neural Networks, Random Forest, and Extreme Gradient Boosting, while the stacked model uses Linear Regression as the metamodel. A dataset of 1,030 concrete mix samples covering eight critical input parameters, including cement, blast furnace slag, coarse aggregates, fine aggregates, fly ash, water, superplasticizer, and curing days, was used for training and evaluation. The dataset was split into training (80%), validation (10%), and testing (10%) subsets. The models were trained independently, and their predictions were used to develop the stacked model. Among the base models, the Extreme Gradient Boosting model achieved the highest accuracy, with an R<ce:sup loc=\"post\">2</ce:sup> of 0.947 during testing. However, the stacked model outperformed it, attaining an R<ce:sup loc=\"post\">2</ce:sup> of 0.953 in the testing phase. Shapley additive explanations analysis identified curing duration as the most influential factor in compressive strength prediction. A user-friendly graphical interface was developed to facilitate efficient prediction of compressive strength in concrete structures.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"133 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-06DOI: 10.1016/j.compstruc.2024.107640
Jinneng Wang, Xiongfei Zhou, Kai Liu, Kaiyun Wang, Lin Jing
Tread spalling is a typical damage type of wheel tread of railway vehicles, which produces severe wheel-rail dynamic interaction, further aggravating the deterioration of crucial components of vehicle and track, especially for coupling with fatigue damage of wheel/rail materials generated in the long-term operation. In this study, a comprehensive three-dimensional (3-D) wheel-rail transient contact finite element model was constructed, to investigate wheel-rail dynamic interaction by tread spalling, where dynamic mechanical properties of wheel-rail material under different equivalent service cycles were considered. The time- and frequency-domain responses of wheel-rail contact forces, wheel-rail adhesion-slip distribution and stress states during wheel rolling over tread spalling region were examined, and the wheel-rail plastic deformation and wear damage were also predicted. Influences of pre-fatigue damage (PFD) and strain rate effect (SRE) of materials on wheel-rail dynamic interactions were highlighted, in terms of the effects of train speed, spalling length and spalling depth. The results indicate that wheel-rail forces and stress are greatly raised as the wheel rolls over spalling region, resulting in large plastic strain and wear damage on the wheel and rail. The SRE significantly inhibits plastic deformation and exacerbates wear of the wheel and rail, while PFD increases plastic deformation but mitigates wear damage to the wheel-rail system. The train speed and spalling length both have a notable effect on plastic strain and wear damage of wheel and rail, while spalling depth only has an obvious influence on the wheel. The detailed modelling and obtained results are beneficial for spalling identification in dynamic detection and reasonable maintenance of wheel-rail system.
{"title":"Wheel-rail dynamic interaction induced by tread spalling integrating with pre-fatigue damage of materials","authors":"Jinneng Wang, Xiongfei Zhou, Kai Liu, Kaiyun Wang, Lin Jing","doi":"10.1016/j.compstruc.2024.107640","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107640","url":null,"abstract":"Tread spalling is a typical damage type of wheel tread of railway vehicles, which produces severe wheel-rail dynamic interaction, further aggravating the deterioration of crucial components of vehicle and track, especially for coupling with fatigue damage of wheel/rail materials generated in the long-term operation. In this study, a comprehensive three-dimensional (3-D) wheel-rail transient contact finite element model was constructed, to investigate wheel-rail dynamic interaction by tread spalling, where dynamic mechanical properties of wheel-rail material under different equivalent service cycles were considered. The time- and frequency-domain responses of wheel-rail contact forces, wheel-rail adhesion-slip distribution and stress states during wheel rolling over tread spalling region were examined, and the wheel-rail plastic deformation and wear damage were also predicted. Influences of pre-fatigue damage (PFD) and strain rate effect (SRE) of materials on wheel-rail dynamic interactions were highlighted, in terms of the effects of train speed, spalling length and spalling depth. The results indicate that wheel-rail forces and stress are greatly raised as the wheel rolls over spalling region, resulting in large plastic strain and wear damage on the wheel and rail. The SRE significantly inhibits plastic deformation and exacerbates wear of the wheel and rail, while PFD increases plastic deformation but mitigates wear damage to the wheel-rail system. The train speed and spalling length both have a notable effect on plastic strain and wear damage of wheel and rail, while spalling depth only has an obvious influence on the wheel. The detailed modelling and obtained results are beneficial for spalling identification in dynamic detection and reasonable maintenance of wheel-rail system.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"30 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-03DOI: 10.1016/j.compstruc.2024.107622
Yeongbin Ko, Klaus-Jürgen Bathe, Xinwei Zhang
We give the formulation and numerical assessment for using six degrees of freedom at each node of 4-node continuum mechanics-based quadrilateral shell elements. The formerly published MITC4 and MITC4 + shell elements are considered and extended to now include the drilling rotational degrees of freedom at the nodes. Including these degrees of freedom enables the modeling of shells with beam elements and shell surfaces intersecting at large angles and in addition results in an improvement of the membrane behavior of the elements. The elements pass all basic tests, show alleviated locking behavior in the analysis of general curved geometries and show close to optimal convergence behaviors in the analysis of the “all-encompassing” shell test problems.
{"title":"Continuum mechanics-based shell elements with six degrees of freedom at each node − the MITC4 / D and MITC4+ / D elements","authors":"Yeongbin Ko, Klaus-Jürgen Bathe, Xinwei Zhang","doi":"10.1016/j.compstruc.2024.107622","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107622","url":null,"abstract":"We give the formulation and numerical assessment for using six degrees of freedom at each node of 4-node continuum mechanics-based quadrilateral shell elements. The formerly published MITC4 and MITC4 + shell elements are considered and extended to now include the drilling rotational degrees of freedom at the nodes. Including these degrees of freedom enables the modeling of shells with beam elements and shell surfaces intersecting at large angles and in addition results in an improvement of the membrane behavior of the elements. The elements pass all basic tests, show alleviated locking behavior in the analysis of general curved geometries and show close to optimal convergence behaviors in the analysis of the “all-encompassing” shell test problems.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"82 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-03DOI: 10.1016/j.compstruc.2024.107636
Godfred Oheneba Agyekum, Laurent Cangémi, François Jouve
This article focuses on the topology optimization of a weakly coupled three physics problem. The structures are made of periodically perforated material, where the microscopic periodic cell is macroscopically modulated. The objective is to optimize the homogenized formulation of this system, where the coupling is weak because the three physics involved are solved consecutively: first, a coupled fluid flow is determined using the Biot-Darcy's law for the fluid domain, second, a thermal model using the convection-diffusion equation for the whole domain, and third, a three-physics problem by solving the linear poro-thermo elasticity problem in the solid domain. This approach allows low computational cost of evaluation of load sensitivities using the adjoint-state method. Two-dimensional and three-dimensional numerical problems are presented using the alternate directions algorithm. It is demonstrated how the implementation makes it possible to treat a variety of design problems.
{"title":"Homogenization based topology optimization of a coupled thermal fluid-structure problem","authors":"Godfred Oheneba Agyekum, Laurent Cangémi, François Jouve","doi":"10.1016/j.compstruc.2024.107636","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107636","url":null,"abstract":"This article focuses on the topology optimization of a weakly coupled three physics problem. The structures are made of periodically perforated material, where the microscopic periodic cell is macroscopically modulated. The objective is to optimize the homogenized formulation of this system, where the coupling is weak because the three physics involved are solved consecutively: first, a coupled fluid flow is determined using the Biot-Darcy's law for the fluid domain, second, a thermal model using the convection-diffusion equation for the whole domain, and third, a three-physics problem by solving the linear poro-thermo elasticity problem in the solid domain. This approach allows low computational cost of evaluation of load sensitivities using the adjoint-state method. Two-dimensional and three-dimensional numerical problems are presented using the alternate directions algorithm. It is demonstrated how the implementation makes it possible to treat a variety of design problems.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"48 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142936024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1016/j.compstruc.2024.107638
Shishun Zhang, Xiao Xiao, Hanyu Chen, Jianping Xuan
The inverse Finite Element Method (iFEM) based on triangular and quadrilateral elements faces significant challenges in complex shell structures due to slow convergence or poor mesh quality. In this study, a novel variable-node polygonal iFEM is developed to enhance the accuracy and flexibility of shape sensing for complex shell structures. Shear and membrane behaviors are respectively improved by the Mixed Interpolation of Tensorial Components (MITC) method and the Strain-Smoothed Element (SSE) method. Moreover, the precision of shape sensing at low mesh densities is improved through a polygonal Smoothing Element Analysis (SEA) method and an iFEM paradigm for curved shell elements based on MITC. Finally, numerical examples demonstrate that the polygonal iFEM achieves high-precision deformation reconstruction with less strain data, supports flexible mesh refinement and strain sensor deployment, and meets the shape sensing demands of shell structures with complex shapes and load conditions.
{"title":"Accurate and flexible shape sensing of shell structures with polygonal inverse finite element method","authors":"Shishun Zhang, Xiao Xiao, Hanyu Chen, Jianping Xuan","doi":"10.1016/j.compstruc.2024.107638","DOIUrl":"https://doi.org/10.1016/j.compstruc.2024.107638","url":null,"abstract":"The inverse Finite Element Method (iFEM) based on triangular and quadrilateral elements faces significant challenges in complex shell structures due to slow convergence or poor mesh quality. In this study, a novel variable-node polygonal iFEM is developed to enhance the accuracy and flexibility of shape sensing for complex shell structures. Shear and membrane behaviors are respectively improved by the Mixed Interpolation of Tensorial Components (MITC) method and the Strain-Smoothed Element (SSE) method. Moreover, the precision of shape sensing at low mesh densities is improved through a polygonal Smoothing Element Analysis (SEA) method and an iFEM paradigm for curved shell elements based on MITC. Finally, numerical examples demonstrate that the polygonal iFEM achieves high-precision deformation reconstruction with less strain data, supports flexible mesh refinement and strain sensor deployment, and meets the shape sensing demands of shell structures with complex shapes and load conditions.","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"91 1","pages":""},"PeriodicalIF":4.7,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-28DOI: 10.1016/j.compstruc.2024.107594
Yanding Guo , Shanshan Cheng , Lijie Chen
Previous multiscale concurrent topology optimization methods for thermoelastic structures were primarily based on static loading and steady-state heat transfer conditions, which do not account for transient effects associated with time-dependent loads. To address this limitation, this paper establishes a novel generic multiscale concurrent topology optimization method that incorporates transient thermoelastic coupling based on transient heat conduction and structural dynamics. In this study, first, a transient multiscale thermoelastic sensitivity equation is innovatively derived through adjoint sensitivity analysis. The effectiveness of this equation is then demonstrated through comparative cases involving transient heat conduction, structural dynamics, and transient thermoelastic (including multimaterial and 3D problems) optimization. Furthermore, the research finds that the topology optimization of transient thermoelastic structures also presents transient effects at microscale. This method demonstrates good versatility and applicability across various optimization cases. The method has great potential in the integrated design of materials and structures involving coupling between time-dependent thermal loads and time-dependent mechanical loads.
{"title":"Multiscale concurrent topology optimization of transient thermoelastic structures","authors":"Yanding Guo , Shanshan Cheng , Lijie Chen","doi":"10.1016/j.compstruc.2024.107594","DOIUrl":"10.1016/j.compstruc.2024.107594","url":null,"abstract":"<div><div>Previous multiscale concurrent topology optimization methods for thermoelastic structures were primarily based on static loading and steady-state heat transfer conditions, which do not account for transient effects associated with time-dependent loads. To address this limitation, this paper establishes a novel generic multiscale concurrent topology optimization method that incorporates transient thermoelastic coupling based on transient heat conduction and structural dynamics. In this study, first, a transient multiscale thermoelastic sensitivity equation is innovatively derived through adjoint sensitivity analysis. The effectiveness of this equation is then demonstrated through comparative cases involving transient heat conduction, structural dynamics, and transient thermoelastic (including multimaterial and 3D problems) optimization. Furthermore, the research finds that the topology optimization of transient thermoelastic structures also presents transient effects at microscale. This method demonstrates good versatility and applicability across various optimization cases. The method has great potential in the integrated design of materials and structures involving coupling between time-dependent thermal loads and time-dependent mechanical loads.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"306 ","pages":"Article 107594"},"PeriodicalIF":4.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142744017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-11-28DOI: 10.1016/j.compstruc.2024.107596
Dervis Baris Ercument , Saeid Sahmani , Babak Safaei
Composite materials allow the production of structures with desired and improved properties (such as high strength), while minimizing the undesirable outcomes (e.g., increased weight). This ability to tune the properties of materials and structures has put composite materials under the spotlight in many fields, ranging from medical, automotive, aerospace, marine, and civil engineering applications. With the wide range of uses composite materials find their place in, it is important for engineers and researchers to have a good understanding of the behaviors of composite materials, such as bending, buckling, or vibration. As such, in recent years, investigating the dynamical behavior of such structures has been a popular topic of study, as signified by the copious amounts of studies focusing on the linear/nonlinear free vibrational response of these composite/nanocomposite systems. This paper provides a comprehensive review of the available research on nonlinear and linear free vibrations of composite/nanocomposite shell-type structures. The research conducted employs a wide variety of different conditions, geometries, methods/models, and materials. As such, a vast number of unique studies exist, focusing on linear and nonlinear free vibrations of composite/nanocomposite shell-type systems. The goal of this review article is to provide an in-depth summary of the available literature on nonlinear and linear free vibrations of composite/nanocomposite shell-type structures, to elaborate on the methods and approaches used by researchers, to present the findings obtained by researchers regarding this topic so far, and to point out the gap of research with the intention to propel future works of research.
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