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6. Formulations of the Elastodynamic Equations in Anisotropic and Multiphasic Porous Media from the Principle of Energy Conservation

Author

Zhou, Yinqiu, Zhang, Xiumei, Liu, Lin, Liu, Tingting, and Wang, Xiuming

Subjects
Physics - Classical Physics
Abstract

Elastodynamic equations have been formulated with either Newton's second law of motion, Lagrange's equation, or Hamilton's principle for over 150 years. In this work, contrary to classical continuum mechanics, a novel strategic methodology is proposed for formulating general mechanical equations using the principle of energy conservation. Firstly, based on Hamilton's principle, Hamilton's equations, Lagrange's equation, and the elastodynamic equation of motion are derived in arbitrarily anisotropic and multiphasic porous elastic media, for the first time. Secondly, these equations are all formulated using the principle of energy conservation for the related media. Both formulation results using the two kinds of principles are compared and validated by each other. The advantages of our methodology lie in that, the elastodynamic equation of motion, Lagrange's equation, and Hamilton's equations in continuum mechanics are directly formulated using a simple constraint of energy conservation without introducing variational concepts. It is easy to understand and has clear physical meanings. Our methodology unlocks the physics essences of Hamilton's principle in continuum mechanics, which is a consequence of the principle of energy conservation. Although the linear stress-strain constitutive relation is considered, our methodology can still be used in a nonlinear dynamical system. The methodology also paves an alternative way of treating other complex continuous dynamical systems in a broad sense. In addition, as an application, the continuity conditions at various medium interfaces are also revisited and extended using our proposed approach, which explains the law of reflections and refractions., Comment: 30 Pages and 3 Figures

Published
2022
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18. Information sampling explains Bayesian learners’ biases in correlation judgment

Author

Zhang, Xiumei, He, Lisheng, and Bhatia, Sudeep

Subjects
Psychology, Decision making, Human Factors, Learning, Eye tracking
Abstract

Correlation judgments are at the core of belief formation. In previous studies of correlation judgment from 2D scatterplots, observers underestimate correlations, and display stronger underestimation biases when the scatterplot is shown in a landscape view than in a portrait view. Yet, it is unclear how these biases arise. Here, we propose that observers are Bayesian learners who perform “mental regression” using the observed data points in graph. Accordingly, judgment errors can arise from biased visual information sampling. We test our model’s predictions with two eye-tracking experiments and find that the Bayesian learning model, applied to information obtained from visual fixation data, replicates classic behavioral findings. The model also predicts trial-level estimation biases at a high accuracy level. Our study shows how computational models trained on process-level data can shed light on the cognitive mechanisms underlying belief formation, and yield theory-driven practical implications for data visualization and statistical communication.

Published
2022

19. An Improved Conditional Euclidean Clustering Point Cloud Segmentation Method

Author

Li, Hui, Meng, Tan, Zhang, Xiumei, Wei, Junjie, Ma, Yumin, Liu, Yue, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Tan, Kay Chen, Series Editor, S. Shmaliy, Yuriy, editor, and Nayyar, Anand, editor

Published
2023
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36. Volatile compounds of fresh pineapple (Ananas comosus cv. Josapine) in different harvest periods

Author

Liu Shenghui, Wu Qingsong, Zhu Zhuying, Lin Wenqiu, Wei Changbin, and Zhang Xiumei

Subjects
Microbiology, QR1-502, Physiology, QP1-981, Zoology, QL1-991
Abstract

‘Josapine’ is a famous pineapple cultivar as a kind of table fruit with a strong special aromatic fragrance like rose or jasmine, In this paper, ripen fruits were harvested monthly from January to June, and volatile compounds were measured by HS-SPME-GC-MS method to reveal the mysterious aroma compounds. Results showed that 112 volatile compounds totally were found in 5 harvest time. Esters and terpenes are the dominant volatiles among Josapine. February fruits contained the most abundant esters with 80.85% of total volatiles and May fruits contained the richest terpenes with 57.17%. In April and May harvested period, (Z)- β-ocimene was extremely significantly higher than that of other three periods. In March fruit. fruits smelt much more floral than in February and March probably attribute to the abundant (Z)-β-ocimene.

Published
2024
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