A highly efficient multi-scale approach of locally refined nonlinear analysis for large composite structures

Li, Shengya; Mao, Yiqi; Liu, Wenyang; Hou, Shujuan

doi:10.1016/j.compstruct.2022.116578

Cited by 10 publications

(1 citation statement)

References 53 publications

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“…In the multiscale FE 2 model, the periodic boundary conditions are imposed on the representative volume element (RVE) at the Gaussian integration point of each macroscale element. The Newton-Raphson method is used to update the displacement field of the overall structure [4][5][6][7]. In the nearly three decades since its proposal, the FE 2 method has undergone numerous developments and applications, from the dimensional design of the RVE to interlayer scale transitions [8,9] and from quasi-static loading and mechanical coupling problems to multi-physics field phenomena [10,11].…”

Section: Introductionmentioning

confidence: 99%

A Reconstruction Approach for Concurrent Multiscale Topology Optimization Based on Direct FE2 Method

Zhao

Tan

et al. 2023

Mathematics

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The rapid development of material science is increasing the demand for the multiscale design of materials. The concurrent multiscale topology optimization based on the Direct FE2 method can greatly improve computational efficiency, but it may lead to the checkerboard problem. In order to solve the checkerboard problem and reconstruct the results of the Direct FE2 model, this paper proposes a filtering-based reconstruction method. This solution is of great significance for the practical application of multiscale topology optimization, as it not only solves the checkerboard problem but also provides the optimized full model based on interpolation. The filtering method effectively eliminates the checkerboard pattern in the results by smoothing the element densities. The reconstruction method restores the smoothness of the optimized structure by interpolating between the filtered densities. This method is highly effective in solving the checkerboard problem, as demonstrated in our numerical examples. The results show that the proposed algorithm produces feasible and stable results.

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Section: Introductionmentioning

confidence: 99%

A Reconstruction Approach for Concurrent Multiscale Topology Optimization Based on Direct FE2 Method

Zhao

Tan

et al. 2023

Mathematics

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Linking myosin heavy chain isoform shift to mechanical properties and fracture modes in skeletal muscle tissue

Tang,

Liu,

et al. 2023

Biomech Model Mechanobiol

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A Computational Multiscale Modeling Method for Nanosilver-Sintered Joints with Stochastically Distributed Voids

Sun,

Guo,

Jørgensen

2024

J. Electron. Mater.

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A high power density is required in wide band gap power semiconductor packaging, which has led to the popularity of sintered nanosilver as an interconnecting material. However, affected by stochastically distributed voids in its microstructure, this material in practice exhibits instability leading to reduced reliability. In this paper, a computational multiscale modeling method is proposed to simulate the influence of micro-voids on macro-properties, providing an efficient tool to analyze the aforementioned problem. At the micro-scale, the three-parameter Weibull distribution of the equivalent Young’s modulus and the normal distribution of the equivalent Poisson’s ratio are captured by Monte Carlo-based finite element simulation on the reconstructed stochastic representative elements, where the density and distribution morphology of micro-voids are taken into consideration. At the macro-scale, the effect of the microscopic voids is transferred through a random sampling process to construct the multiscale model. The effectiveness and validity of the proposed method are verified through experimental case studies involving the modeling of nanosilver-sintered joints sintered at temperatures of 275°C and 300°C. In addition, the effects of the sintering temperature on the dispersion of the micro-voids, the distribution fluctuation of the constitutive parameters, and the mechanical properties are also discussed based on numerical and experimental results. Graphical Abstract

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A highly efficient multi-scale approach of locally refined nonlinear analysis for large composite structures

Cited by 10 publications

References 53 publications

A Reconstruction Approach for Concurrent Multiscale Topology Optimization Based on Direct FE2 Method

A Reconstruction Approach for Concurrent Multiscale Topology Optimization Based on Direct FE2 Method

Linking myosin heavy chain isoform shift to mechanical properties and fracture modes in skeletal muscle tissue

A Computational Multiscale Modeling Method for Nanosilver-Sintered Joints with Stochastically Distributed Voids

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