Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics

Alleman, Coleman; Foulk, James W.; Mota, Alejandro; Lim, Hojun; Littlewood, David John

doi:10.1007/s00466-017-1481-5

Cited by 13 publications

(11 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, most of our experimental results show that there are more than 2 meaningful components extracted from the second level AEs. So we choose Kz = [10,5]. For the qualitative evaluation, we show the results in Fig.…”

Section: The Choice Of K Zmentioning

confidence: 99%

“…As shown in that section, our stacked AEs has the lowest error with the following default parameters: λ 1 = 10.0, λ 2 = 1.0, where λ 1 , λ 2 are the weights of reconstruction error and sparsity constrain term, respectively. d = [d 1 , d 2 ] = [0.4, 0.2], K z = [10,5], corresponding to the coarse and fine levels. Here, we train the whole network end-to-end rather than in a separate manner.…”

Section: Implementation Detailsmentioning

confidence: 99%

“…So we visualize each extracted components in each level. Due to our setting (K z = [10,5]), the first level and second level autoencoders output 10 and 5 deformation components respectively. For all results, there are some slight deformation components that is not shown for the brief and reasonable visualization.…”

Section: Qualitative Evaluationmentioning

confidence: 99%

“…Since methods compared in the paper produce 50 deformation components, we let K z0 × K z1 = 50. We have the following combinations: K z = [1,50], [2,25], [5,10], [10,5], [25,2], [50,1]. However, the [1,50], [50,1] are the trivial setting.…”

Section: The Choice Of K Zmentioning

confidence: 99%

“…Multi-scale techniques are getting increasingly popular in various fields. In Finite Element Methods, multiscale analysis is widely used [11], [12], [13]. In the spectral geometry field, research works apply multiscale technology on the deformation representation [14], physics-based simulation of deformable objects [15], and surface registration [16] by analyzing the nonisometric global and local (multiscale) deformation.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Multiscale Mesh Deformation Component Analysis With Attention-Based Autoencoders

Yang

Gao

Tan

et al. 2023

IEEE Trans. Visual. Comput. Graphics

View full text Add to dashboard Cite

Deformation component analysis is a fundamental problem in geometry processing and shape understanding. Existing approaches mainly extract deformation components in local regions at a similar scale while deformations of real-world objects are usually distributed in a multi-scale manner. In this paper, we propose a novel method to exact multiscale deformation components automatically with a stacked attention-based autoencoder. The attention mechanism is designed to learn to softly weight multi-scale deformation components in active deformation regions, and the stacked attention-based autoencoder is learned to represent the deformation components at different scales. Quantitative and qualitative evaluations show that our method outperforms state-of-the-art methods. Furthermore, with the multiscale deformation components extracted by our method, the user can edit shapes in a coarse-to-fine fashion which facilitates effective modeling of new shapes.

show abstract

Section: The Choice Of K Zmentioning

confidence: 99%

Section: Implementation Detailsmentioning

confidence: 99%

Section: Qualitative Evaluationmentioning

confidence: 99%

Section: The Choice Of K Zmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Multiscale Mesh Deformation Component Analysis With Attention-Based Autoencoders

Yang

Gao

Tan

et al. 2023

IEEE Trans. Visual. Comput. Graphics

View full text Add to dashboard Cite

show abstract

FFT-based homogenisation for efficient concurrent multiscale modelling of thin plate structures

Li,

Sharif Khodaei,

Aliabadi

2024

Comput Mech

View full text Add to dashboard Cite

This paper presents a novel approach to concurrent multiscale analysis, where structures are formulated at both microscopic and macro levels for simulation purposes. The proposed method employs a plate model to formulate structures at both scales, and homogenisation is performed using the FFT-based approach, offering higher efficiency compared to conventional methods. Additionally, the macroscopic tangent operator of the microscopic model is derived through an algorithmically consistent process within the FFT-based framework, incorporating the application of Lippman–Schwinger equations as outlined in this work. The effectiveness of the proposed method is demonstrated through case studies in real simulations, revealing comparable results to traditional multiscale schemes in addressing multiscale thin plate structures. Importantly, the method significantly reduces computing time and memory usage, attributed to the efficiency of plate modelling and the FFT-based homogenisation strategy.

show abstract

Investigating mesh sensitivity and polycrystalline RVEs in crystal plasticity finite element simulations

Lim

Battaile

Bishop

et al. 2019

International Journal of Plasticity

View full text Add to dashboard Cite

Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics

Cited by 13 publications

References 43 publications

Multiscale Mesh Deformation Component Analysis With Attention-Based Autoencoders

Multiscale Mesh Deformation Component Analysis With Attention-Based Autoencoders

FFT-based homogenisation for efficient concurrent multiscale modelling of thin plate structures

Investigating mesh sensitivity and polycrystalline RVEs in crystal plasticity finite element simulations

Contact Info

Product

Resources

About