Pub Date : 2024-09-24DOI: 10.1016/j.enganabound.2024.105974
Van-Thien Tran , Trung-Kien Nguyen , H. Nguyen-Xuan , Thuc P. Vo
The authors propose meta-heuristic optimization algorithms for the vibration and buckling analysis of laminated composite plates. This approach combines unified higher-order shear deformation theory, the Ritz method, and three optimization algorithms: the Shrimp and Goby Association Search Algorithm (SGA), Balancing Composite Motion Optimization (BCMO), and Differential Evolution (DE). The Ritz method, utilizing hybrid shape functions, is employed to solve optimization problems by using the Gram-Schmidt process to construct approximation functions. The SGA and BCMO are applied for the first time to determine the optimal buckling loads and frequencies of laminated composite plates. Numerical examples are provided to explore the influence of fiber angle, modulus ratio, and various boundary conditions on the optimal results. The findings demonstrate that BCMO and SGA are efficient and robust algorithms for addressing the optimization problems of laminated composite plates.
{"title":"Meta-heuristic optimization algorithms for vibration and buckling analysis of laminated composite plates","authors":"Van-Thien Tran , Trung-Kien Nguyen , H. Nguyen-Xuan , Thuc P. Vo","doi":"10.1016/j.enganabound.2024.105974","DOIUrl":"10.1016/j.enganabound.2024.105974","url":null,"abstract":"<div><div>The authors propose meta-heuristic optimization algorithms for the vibration and buckling analysis of laminated composite plates. This approach combines unified higher-order shear deformation theory, the Ritz method, and three optimization algorithms: the Shrimp and Goby Association Search Algorithm (SGA), Balancing Composite Motion Optimization (BCMO), and Differential Evolution (DE). The Ritz method, utilizing hybrid shape functions, is employed to solve optimization problems by using the Gram-Schmidt process to construct approximation functions. The SGA and BCMO are applied for the first time to determine the optimal buckling loads and frequencies of laminated composite plates. Numerical examples are provided to explore the influence of fiber angle, modulus ratio, and various boundary conditions on the optimal results. The findings demonstrate that BCMO and SGA are efficient and robust algorithms for addressing the optimization problems of laminated composite plates.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105974"},"PeriodicalIF":4.2,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0955799724004478/pdfft?md5=135bab0003848eced5e3ea20ee88aca0&pid=1-s2.0-S0955799724004478-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-23DOI: 10.1016/j.enganabound.2024.105964
Seyed Mojtaba Mosavi Nezhad , Amirkeivan Shafiei
This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.
{"title":"3D dynamic analysis in a 3D-FG cylindrical thick panel with two-dimensional nonlinear grading patterns using meshless local Petrov – Galerkin (MLPG) method","authors":"Seyed Mojtaba Mosavi Nezhad , Amirkeivan Shafiei","doi":"10.1016/j.enganabound.2024.105964","DOIUrl":"10.1016/j.enganabound.2024.105964","url":null,"abstract":"<div><div>This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105964"},"PeriodicalIF":4.2,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142311458","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 : 2024-09-21DOI: 10.1016/j.enganabound.2024.105969
Jiayu Qin, Nengxiong Xu, Gang Mei
Nonlinear deformation of geomaterials is one of the important problems in geotechnical engineering. Compared with the finite element method (FEM), meshfree face-based smoothed point interpolation method (FSPIM) has a more exact stiffness and low mesh dependence, which shows great potential in simulating the nonlinear deformation of geomaterials. Compared with the linear FEM, this paper studies the calculation accuracy and efficiency of FSPIM with the T4 scheme for elastoplastic and large deformation problems in geomaterials. This paper first derives the elastoplastic and large deformation SPIM, including the smoothing deformation gradient, smoothing Green–Lagrange strain, the discrete updated Lagrangian governing equation, and elastoplastic constitutive relations that eliminate the effects of rigid body motion. Then, two effective analysis programs are developed for comparative analysis based on the FSPIM and linear FEM. Two classical slope models with different geometrical parameters and constitutive models are employed for numerical tests. Based on the numerical test results, the performance of FSPIM in the analysis of elastoplastic and large deformation problems in geomaterials is evaluated by comparing it with the linear FEM. Finally, the simulation results are discussed, and future work of the FSPIM is proposed.
{"title":"Comparative study of face-based smoothed point interpolation method and linear finite element method for elastoplastic and large deformation problems in geomaterials","authors":"Jiayu Qin, Nengxiong Xu, Gang Mei","doi":"10.1016/j.enganabound.2024.105969","DOIUrl":"10.1016/j.enganabound.2024.105969","url":null,"abstract":"<div><div>Nonlinear deformation of geomaterials is one of the important problems in geotechnical engineering. Compared with the finite element method (FEM), meshfree face-based smoothed point interpolation method (FSPIM) has a more exact stiffness and low mesh dependence, which shows great potential in simulating the nonlinear deformation of geomaterials. Compared with the linear FEM, this paper studies the calculation accuracy and efficiency of FSPIM with the T4 scheme for elastoplastic and large deformation problems in geomaterials. This paper first derives the elastoplastic and large deformation SPIM, including the smoothing deformation gradient, smoothing Green–Lagrange strain, the discrete updated Lagrangian governing equation, and elastoplastic constitutive relations that eliminate the effects of rigid body motion. Then, two effective analysis programs are developed for comparative analysis based on the FSPIM and linear FEM. Two classical slope models with different geometrical parameters and constitutive models are employed for numerical tests. Based on the numerical test results, the performance of FSPIM in the analysis of elastoplastic and large deformation problems in geomaterials is evaluated by comparing it with the linear FEM. Finally, the simulation results are discussed, and future work of the FSPIM is proposed.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105969"},"PeriodicalIF":4.2,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275744","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 : 2024-09-21DOI: 10.1016/j.enganabound.2024.105973
Zhi Yong Ai, Lei Xu, Yong Zhi Zhao, Wei Tao Ji
This study employs the coupled finite element-boundary element method to investigate the dynamic response of single pile subjected to horizontal transient loading, which is a common scenario in high-rise building, transportation, and ocean engineering. Firstly, the single pile is modeled as a Timoshenko beam and then discretized with the finite element method (FEM). The transient solution for multilayered saturated soils due to a horizontal load, serving as the kernel function for the boundary element method (BEM), aids in the derivation of the flexibility matrix of the soils. Considering the pile-soil displacement coordination conditions, the coupled FEM-BEM equation is constructed and solved to characterize the pile-soil interaction. Since the pile discretization pattern is applied consistently to the soils, it is more effective than the discretization of infinite domain in the finite element analysis. The validity of the presented method is confirmed through comparison with the full FEM numerical simulations, demonstrating the correctness and enhanced computational efficiency. Finally, parametric studies are carried out to discuss the effects of pile's length-diameter ratio, soil's shear wave velocity and stratification.
{"title":"Interaction analysis between single pile and multilayered saturated soils under horizontal transient loading","authors":"Zhi Yong Ai, Lei Xu, Yong Zhi Zhao, Wei Tao Ji","doi":"10.1016/j.enganabound.2024.105973","DOIUrl":"10.1016/j.enganabound.2024.105973","url":null,"abstract":"<div><div>This study employs the coupled finite element-boundary element method to investigate the dynamic response of single pile subjected to horizontal transient loading, which is a common scenario in high-rise building, transportation, and ocean engineering. Firstly, the single pile is modeled as a Timoshenko beam and then discretized with the finite element method (FEM). The transient solution for multilayered saturated soils due to a horizontal load, serving as the kernel function for the boundary element method (BEM), aids in the derivation of the flexibility matrix of the soils. Considering the pile-soil displacement coordination conditions, the coupled FEM-BEM equation is constructed and solved to characterize the pile-soil interaction. Since the pile discretization pattern is applied consistently to the soils, it is more effective than the discretization of infinite domain in the finite element analysis. The validity of the presented method is confirmed through comparison with the full FEM numerical simulations, demonstrating the correctness and enhanced computational efficiency. Finally, parametric studies are carried out to discuss the effects of pile's length-diameter ratio, soil's shear wave velocity and stratification.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105973"},"PeriodicalIF":4.2,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142311179","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 : 2024-09-20DOI: 10.1016/j.enganabound.2024.105966
Zhoushun Zheng, Sai Qi, Xinye Li
This paper investigates a numerical method for solving the two-dimensional Landau–Lifshitz–Gilbert (LLG) equation, governing the dynamics of the magnetization in ferromagnetic materials. Specifically, we incorporate the Dzyaloshinskii–Moriya interaction into the LLG equation—a crucial factor for the creation and stabilization of magnetic skyrmions. We propose a local meshless method that utilizes radial basis function-finite difference (RBF-FD) for spatial discretization and the Crank–Nicolson scheme for temporal discretization, along with an extrapolation technique to handle the nonlinear terms. We demonstrate the method’s accuracy, efficiency, and adaptability through numerical tests on domains of various shapes, showcasing its practical utility in simulating real-world magnetic phenomena and advanced materials.
{"title":"A radial basis function-finite difference method for solving Landau–Lifshitz–Gilbert equation including Dzyaloshinskii-Moriya interaction","authors":"Zhoushun Zheng, Sai Qi, Xinye Li","doi":"10.1016/j.enganabound.2024.105966","DOIUrl":"10.1016/j.enganabound.2024.105966","url":null,"abstract":"<div><div>This paper investigates a numerical method for solving the two-dimensional Landau–Lifshitz–Gilbert (LLG) equation, governing the dynamics of the magnetization in ferromagnetic materials. Specifically, we incorporate the Dzyaloshinskii–Moriya interaction into the LLG equation—a crucial factor for the creation and stabilization of magnetic skyrmions. We propose a local meshless method that utilizes radial basis function-finite difference (RBF-FD) for spatial discretization and the Crank–Nicolson scheme for temporal discretization, along with an extrapolation technique to handle the nonlinear terms. We demonstrate the method’s accuracy, efficiency, and adaptability through numerical tests on domains of various shapes, showcasing its practical utility in simulating real-world magnetic phenomena and advanced materials.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105966"},"PeriodicalIF":4.2,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275746","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 : 2024-09-20DOI: 10.1016/j.enganabound.2024.105958
Yunpeng Lu , Haoran Yan , Guiyong Zhang , Jinxin Wu , Bo Zhou
Recently, the escalating computational capability provided by advanced GPU technology for numerical simulations is well-suited for tackling large-scale engineering challenges. The lattice Boltzmann flux solver (LBFS), as a relatively new fluid-solving method, combines the parallelization characteristics of the lattice Boltzmann method (LBM) with the ability to handle non-uniform grids. Building upon these advantages, this study aligns its flux computational steps with the demands of the GPU parallel computing environment, thus developing an efficient flux-reconstructed lattice Boltzmann flux solver (FRLBFS), the improved algorithm not only ensures precision but also achieves a significant enhancement in efficiency, reaching up to a remarkable 500-fold improvement. Additionally, this work combines the immersed boundary method, significantly improving the efficiency of addressing hydrodynamic problems with multiple structures. Through numerical validation, under identical GPU hardware conditions, the proposed method in this paper outperform LBM in terms of computational efficiency. Lastly, simulations of flow past an array of eight cylinders at different Reynolds numbers are conducted, instantaneous contour plots at various dimensionless time points and time-dependent curves of drag and lift coefficients for different cylinders are provided, to demonstrate the complex vortex shedding surrounding multiple cylinders and its extraordinary computational efficiency.
{"title":"An efficient flux-reconstructed lattice boltzmann flux solver for flow interaction of multi-structure with curved boundary","authors":"Yunpeng Lu , Haoran Yan , Guiyong Zhang , Jinxin Wu , Bo Zhou","doi":"10.1016/j.enganabound.2024.105958","DOIUrl":"10.1016/j.enganabound.2024.105958","url":null,"abstract":"<div><div>Recently, the escalating computational capability provided by advanced GPU technology for numerical simulations is well-suited for tackling large-scale engineering challenges. The lattice Boltzmann flux solver (LBFS), as a relatively new fluid-solving method, combines the parallelization characteristics of the lattice Boltzmann method (LBM) with the ability to handle non-uniform grids. Building upon these advantages, this study aligns its flux computational steps with the demands of the GPU parallel computing environment, thus developing an efficient flux-reconstructed lattice Boltzmann flux solver (FRLBFS), the improved algorithm not only ensures precision but also achieves a significant enhancement in efficiency, reaching up to a remarkable 500-fold improvement. Additionally, this work combines the immersed boundary method, significantly improving the efficiency of addressing hydrodynamic problems with multiple structures. Through numerical validation, under identical GPU hardware conditions, the proposed method in this paper outperform LBM in terms of computational efficiency. Lastly, simulations of flow past an array of eight cylinders at different Reynolds numbers are conducted, instantaneous contour plots at various dimensionless time points and time-dependent curves of drag and lift coefficients for different cylinders are provided, to demonstrate the complex vortex shedding surrounding multiple cylinders and its extraordinary computational efficiency.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105958"},"PeriodicalIF":4.2,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275747","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}
Two-dimensional viscous incompressible, pressure-driven, creeping flow at low Reynold's number (Re ≪ 1) around a series of circular cylinders in a slip-patterned rectangular microchannel is investigated numerically by using the boundary element method (BEM) based on a non-primitive variables approach. The non-primitive variables approach refers to the combination of stream function and vorticity variables. The Stokes equations are used to govern the flow of creeping fluid through a microchannel. We consider the alteration of the slip on both the upper and lower surfaces of the microchannel maintain the same phase (i.e., in-phase configuration). Here, the slip boundary condition refers to Navier's slip boundary condition. We considered both small as well as large patterned slip on both surfaces of the microchannel. Moreover, we have assumed that a number of cylinders of equal diameter are present in the in-line configuration in the path of flow. We studied streamlines, velocity profiles, pressure gradients, and the shear stresses with varied slip-length, and the radius of the cylinder, to get a complete comprehension of flow dynamics. We observed that the velocity and shear stress profiles exhibit significant variability in the case of fine slip patterning. Additionally, the proposed investigation holds several potential applications, such as drug capsule delivery systems, hemodynamics, bio-MEMS technology, and so forth.
{"title":"Stokes flow past an array of circular cylinders through slip-patterned microchannel using boundary element method","authors":"Vishal Chhabra , Chandra Shekhar Nishad , K.G. Vijay , Manoj Sahni","doi":"10.1016/j.enganabound.2024.105925","DOIUrl":"10.1016/j.enganabound.2024.105925","url":null,"abstract":"<div><div>Two-dimensional viscous incompressible, pressure-driven, creeping flow at low Reynold's number (<em>Re</em> ≪ 1) around a series of circular cylinders in a slip-patterned rectangular microchannel is investigated numerically by using the boundary element method (BEM) based on a non-primitive variables approach. The non-primitive variables approach refers to the combination of stream function and vorticity variables. The Stokes equations are used to govern the flow of creeping fluid through a microchannel. We consider the alteration of the slip on both the upper and lower surfaces of the microchannel maintain the same phase (i.e., in-phase configuration). Here, the slip boundary condition refers to Navier's slip boundary condition. We considered both small as well as large patterned slip on both surfaces of the microchannel. Moreover, we have assumed that a number of cylinders of equal diameter are present in the in-line configuration in the path of flow. We studied streamlines, velocity profiles, pressure gradients, and the shear stresses with varied slip-length, and the radius of the cylinder, to get a complete comprehension of flow dynamics. We observed that the velocity and shear stress profiles exhibit significant variability in the case of fine slip patterning. Additionally, the proposed investigation holds several potential applications, such as drug capsule delivery systems, hemodynamics, bio-MEMS technology, and so forth.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105925"},"PeriodicalIF":4.2,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275748","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 : 2024-09-20DOI: 10.1016/j.enganabound.2024.105967
Xinhui Chen , Xiaxi Cheng , Mingcan Liu , Xing Wei , Yang Yu , Shenshen Chen
The singular boundary method (SBM) is a boundary-only meshless collocation method, but it is not applicable to solve multi-material cases directly with closed-form fundamental solutions. In this study, a semi-analytical boundary-only approach, multi-domain SBM (MD-SBM), is firstly formulated to study the dynamic analysis of multilayered saturated porous media. Firstly, the domain is divided into several subdomains with the consistent material. Then, the singular boundary method (SBM) simulates the dynamic response in each subdomain via a linear combination of fundamental solutions. The source singularity issue is removed by the origin intensity factors (OIFs) rather than singular integrals in the BEM. Finally, the SBM solutions in each layer are coupled by the continuity and compatibility conditions on the interface boundaries between adjacent layers. The SBM does not require domain discretization and desingularizes the source singularity with simple formulas. Thus, it is easy to implement. The MD-SBM is tested to both finite and semi-infinite cases to illustrate its accuracy and feasibility. It is worthnoting that the closed-form fundamental solutions can be directly applied to the semi-infinite cases without requiring additional modifications.
奇异边界法（SBM）是一种仅边界的无网格配准方法，但它并不适用于直接求解多材料情况下的闭式基本解。本研究首先提出了一种半解析唯边界方法，即多域 SBM（MD-SBM），用于研究多层饱和多孔介质的动力学分析。首先，用一致的材料将域划分为多个子域。然后，奇异边界法（SBM）通过基本解的线性组合模拟每个子域的动态响应。通过原点强度因子（OIF）而不是 BEM 中的奇异积分，可以消除源奇异性问题。最后，相邻层之间界面边界上的连续性和兼容性条件将各层中的 SBM 解耦合在一起。SBM 不要求域离散化，并通过简单的公式对源奇异性进行去奇异化。因此，它很容易实现。为了说明 MD-SBM 的准确性和可行性，对有限和半无限情况都进行了测试。值得注意的是，闭式基本解可以直接应用于半无限情况，无需额外修改。
{"title":"A multi-domain singular boundary method for dynamic analysis of multilayered saturated porous media","authors":"Xinhui Chen , Xiaxi Cheng , Mingcan Liu , Xing Wei , Yang Yu , Shenshen Chen","doi":"10.1016/j.enganabound.2024.105967","DOIUrl":"10.1016/j.enganabound.2024.105967","url":null,"abstract":"<div><div>The singular boundary method (SBM) is a boundary-only meshless collocation method, but it is not applicable to solve multi-material cases directly with closed-form fundamental solutions. In this study, a semi-analytical boundary-only approach, multi-domain SBM (MD-SBM), is firstly formulated to study the dynamic analysis of multilayered saturated porous media. Firstly, the domain is divided into several subdomains with the consistent material. Then, the singular boundary method (SBM) simulates the dynamic response in each subdomain via a linear combination of fundamental solutions. The source singularity issue is removed by the origin intensity factors (OIFs) rather than singular integrals in the BEM. Finally, the SBM solutions in each layer are coupled by the continuity and compatibility conditions on the interface boundaries between adjacent layers. The SBM does not require domain discretization and desingularizes the source singularity with simple formulas. Thus, it is easy to implement. The MD-SBM is tested to both finite and semi-infinite cases to illustrate its accuracy and feasibility. It is worthnoting that the closed-form fundamental solutions can be directly applied to the semi-infinite cases without requiring additional modifications.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105967"},"PeriodicalIF":4.2,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275745","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 : 2024-09-18DOI: 10.1016/j.enganabound.2024.105968
Hantao Liu , Chao Li , Kaixing Ji
The multi-scale numerical procedure proposed in our previous work based on smoothed dissipative particle dynamics (SDPD) is employed, and a new multi-phase interaction model based on the inter-particle force (IPF) that includes a consistent repulsion force is presented and verified. A comparative investigation utilizing smoothed particle hydrodynamics (SPH), SDPD, and our multi-scale methods is then carried out and the computational efficiency, droplet morphology, wetting flow field, and advantages of the multi-scale method are demonstrated. In addition, the droplet thickness is derived from the Navier–Stokes equations with a stochastic force, demonstrating the effect of thermal fluctuations on the mesoscopic scale. Finally, the wetting states are simulated at different surface roughness values, and the transition of states and some new mechanisms are clarified. When the roughness scale is smaller than the interaction range between particles, the wetting state may change significantly, and this effect becomes weaker when the roughness scale exceeds the interaction range. The results also show that the horizontal roughness (direction of droplet spreading) is more decisive than vertical one (perpendicular to the direction of droplet spreading), usually leading to a transition of the wetting states, while the vertical roughness usually plays a reinforcing role.
{"title":"An investigation of dynamic droplet wetting within the smoothed dissipative particle dynamics (SDPD) multi-scale modeling framework","authors":"Hantao Liu , Chao Li , Kaixing Ji","doi":"10.1016/j.enganabound.2024.105968","DOIUrl":"10.1016/j.enganabound.2024.105968","url":null,"abstract":"<div><p>The multi-scale numerical procedure proposed in our previous work based on smoothed dissipative particle dynamics (SDPD) is employed, and a new multi-phase interaction model based on the inter-particle force (IPF) that includes a consistent repulsion force is presented and verified. A comparative investigation utilizing smoothed particle hydrodynamics (SPH), SDPD, and our multi-scale methods is then carried out and the computational efficiency, droplet morphology, wetting flow field, and advantages of the multi-scale method are demonstrated. In addition, the droplet thickness is derived from the Navier–Stokes equations with a stochastic force, demonstrating the effect of thermal fluctuations on the mesoscopic scale. Finally, the wetting states are simulated at different surface roughness values, and the transition of states and some new mechanisms are clarified. When the roughness scale is smaller than the interaction range between particles, the wetting state may change significantly, and this effect becomes weaker when the roughness scale exceeds the interaction range. The results also show that the horizontal roughness (direction of droplet spreading) is more decisive than vertical one (perpendicular to the direction of droplet spreading), usually leading to a transition of the wetting states, while the vertical roughness usually plays a reinforcing role.</p></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105968"},"PeriodicalIF":4.2,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142243792","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 : 2024-09-18DOI: 10.1016/j.enganabound.2024.105959
Xingcong Dong , Haitian Yang , Ming Qi , Di Zuo , Guixue Wang , Yiqian He
The interval model, which requires less prior information than probabilistic and fuzzy models, is used to describe the uncertainty of the material and geometric parameters of soft biological tissues. A quadtree scaled boundary finite element method (quadtree SBFEM) and an optimization-based numerical algorithm are developed for the interval damage analysis of soft biological tissues. The material is hyperelastic, and the damage behavior is described by a gradient-enhanced damage model without mesh dependence. The deterministic problem is solved by the image-based quadtree SBFEM, and the interval problem is solved via an optimization based bounds estimation, which is reliable and insensitive to the scale of the intervals. A Legendre polynomial surrogate (LPS) is constructed to approximate the SBFEM-based deterministic solutions to reduce the computational cost of the optimization process. Numerical examples are presented to illustrate the effectiveness of the proposed approaches, and the uncertain behavior of the Cauchy stress and damage function.
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