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RISConstructing Oscillating Function-Based Covariance Matrix to Allow Negative Correlations in Gaussian Random Field Models for Uncertainty Quantification
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Gaussian random field has been widely applied to quantify high-dimensional uncertainties in the spatial or temporal domain. A common practice in Gaussian random field modeling is to use the exponential function to represent ...
Quantitative Representation of Aleatoric Uncertainties in Network-Like Topological Structural Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The complex topological characteristics of network-like structural systems, such as lattice structures, cellular metamaterials, and mass transport networks, pose a great challenge for uncertainty qualification (UQ). Various ...
Control Variate Multifidelity Estimators for the Variance and Sensitivity Analysis of Mesostructure–Structure Systems
Publisher: American Society of Mechanical Engineers (ASME)
Abstract: Variance and sensitivity analysis are challenging tasks when the evaluation of system performances incurs a high-computational cost. To resolve this issue, this paper investigates several multifidelity statistical estimators ...
Designing Mixed-Category Stochastic Microstructures by Deep Generative Model-Based and Curvature Functional-Based Methods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Bridging the gaps among various categories of stochastic microstructures remains a challenge in the design representation of microstructural materials. Each microstructure category requires certain unique mathematical and ...
Reconstruction and Generation of Porous Metamaterial Units Via Variational Graph Autoencoder and Large Language Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we propose and compare two novel deep generative model-based approaches for the design representation, reconstruction, and generation of porous metamaterials characterized by complex and fully connected solid ...
Designing Connectivity-Guaranteed Porous Metamaterial Units Using Generative Graph Neural Networks
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Designing 3D porous metamaterial units while ensuring complete connectivity of both solid and pore phases presents a significant challenge. This complete connectivity is crucial for manufacturability and structure-fluid ...
A Descriptor Based Design Methodology for Developing Heterogeneous Microstructural Materials System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In designing a microstructural materials system, there are several key questions associated with design representation, design evaluation, and design synthesis: how to quantitatively represent the design space of a ...
A Machine Learning Based Design Representation Method for Designing Heterogeneous Microstructures
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In designing microstructural materials systems, one of the key research questions is how to represent the microstructural design space quantitatively using a descriptor set that is sufficient yet small enough to be tractable. ...
A Structural Equation Modeling-Based Strategy for Design Optimization of Multilayer Composite Structural Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Design optimization of composite structures is a challenging task due to the large dimensionality of the design space. In addition to the geometric variables (e.g., thickness of each component), the composite layup (the ...
Design of Phononic Bandgap Metamaterials Based on Gaussian Mixture Beta Variational Autoencoder and Iterative Model Updating
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Phononic bandgap metamaterials, which consist of periodic cellular structures, are capable of absorbing energy within a certain frequency range. Designing metamaterials that trap waves across a wide wave frequency range ...