Multilevel Design of Sandwich Composite Armors for Blast Mitigation using Bayesian Optimization and Non-Uniform Rational B-Splines

2021 ◽  
Author(s):  
Homero Valladares ◽  
Andres Tovar
Keyword(s):  
Bayesian Optimization ◽  
Sandwich Composite ◽  
Blast Mitigation ◽  
B Splines

A Simple and Effective Methodology to Perform Multi-Objective Bayesian Optimization: An Application in the Design of Sandwich Composite Armors for Blast Mitigation

2020 ◽  
Author(s):  
Homero Valladares ◽  
Andres Tovar
Keyword(s):  
Finite Element ◽  
Surrogate Model ◽  
Test Problem ◽  
Pareto Front ◽  
Computational Cost ◽  
Bayesian Optimization ◽  
Sandwich Composite ◽  
Blast Mitigation ◽  
Multi Objective ◽  
Probabilistic Information

Abstract Bayesian optimization is a versatile numerical method to solve global optimization problems of high complexity at a reduced computational cost. The efficiency of Bayesian optimization relies on two key elements: a surrogate model and an acquisition function. The surrogate model is generated on a Gaussian process statistical framework and provides probabilistic information of the prediction. The acquisition function, which guides the optimization, uses the surrogate probabilistic information to balance the exploration and the exploitation of the design space. In the case of multi-objective problems, current implementations use acquisition functions such as the multi-objective expected improvement (MEI). The evaluation of MEI requires a surrogate model for each objective function. In order to expand the Pareto front, such implementations perform a multi-variate integral over an intricate hypervolume, which require high computational cost. The objective of this work is to introduce an efficient multi-objective Bayesian optimization method that avoids the need for multi-variate integration. The proposed approach employs the working principle of multi-objective traditional methods, e.g., weighted sum and min-max methods, which transform the multi-objective problem into a single-objective problem through a functional mapping of the objective functions. Since only one surrogate is trained, this approach has a low computational cost. The effectiveness of the proposed approach is demonstrated with the solution of four problems: (1) an unconstrained version of the Binh and Korn test problem (convex Pareto front), (2) the Fonseca and Fleming test problem (non-convex Pareto front), (3) a three-objective test problem and (4) the design optimization of a sandwich composite armor for blast mitigation. The optimization algorithm is implemented in MATLAB and the finite element simulations are performed in the explicit, nonlinear finite element analysis code LS-DYNA. The results are comparable (or superior) to the results of the MEI acquisition function.

Blast Mitigation in a Sandwich Composite Using Graded Core and Polyurea Interlayer

2011 ◽  
Vol 52 (2) ◽  
pp. 119-133 ◽  
Author(s):  
N. Gardner ◽  
E. Wang ◽  
P. Kumar ◽  
A. Shukla
Keyword(s):  
Sandwich Composite ◽  
Blast Mitigation

Application of Cubic B-Splines for Synthesis of Selective Signals

2007 ◽  
Vol 66 (12) ◽  
pp. 1047-1056 ◽  
Author(s):  
I. V. Strelkovskaya
Keyword(s):  
B Splines

Theoretical Studies of the Acid-Base Equilibria in a Model Active Site of the Human 20S Proteasome

2020 ◽  
Author(s):  
Jon Uranga ◽  
Lukas Hasecke ◽  
Jonny Proppe ◽  
Jan Fingerhut ◽  
Ricardo A. Mata
Keyword(s):  
Active Site ◽  
Boronic Acid ◽  
Computational Study ◽  
Ubiquitin Proteasome System ◽  
Bayesian Optimization ◽  
Inhibition Mechanism ◽  
20S Proteasome ◽  
Acid Base ◽  
Ubiquitin Proteasome ◽  
Infection Cycles

The 20S Proteasome is a macromolecule responsible for the chemical step in the ubiquitin-proteasome system of degrading unnecessary and unused proteins of the cell. It plays a central role both in the rapid growth of cancer cells as well as in viral infection cycles. Herein, we present a computational study of the acid-base equilibria in an active site of the human proteasome, an aspect which is often neglected despite the crucial role protons play in the catalysis. As example substrates, we take the inhibition by epoxy and boronic acid containing warheads. We have combined cluster quantum mechanical calculations, replica exchange molecular dynamics and Bayesian optimization of non-bonded potential terms in the inhibitors. In relation to the latter, we propose an easily scalable approach to the reevaluation of non-bonded potentials making use of QM/MM dynamics information. Our results show that coupled acid-base equilibria need to be considered when modeling the inhibition mechanism. The coupling between a neighboring lysine and the reacting threonine is not affected by the presence of the inhibitor.

Effect of water absorption on the flexural strength of a green sandwich composite

2019 ◽  
Vol 61 (4) ◽  
pp. 369-375
Author(s):  
Sivalingam Prabhakaran ◽  
Vijayan Krishnaraj ◽  
Mouleeswaran Senthilkumar ◽  
Redouane Zitoune ◽  
Krishna Shankar
Keyword(s):  
Flexural Strength ◽  
Water Absorption ◽  
Sandwich Composite ◽  
Effect Of Water
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