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While sensitivity analysis improves the transparency and reliability of mathematical models, its uptake by modelers is still scarce. This is partially explained by its technical requirements, which may be hard to understand and implement by…

应用统计 · 统计学 2023-03-20 Arnald Puy , Pamphile T. Roy , Andrea Saltelli

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

数据分析、统计与概率 · 物理学 2019-02-25 Glen Cowan

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

统计力学 · 物理学 2013-01-07 Matthias Fuchs

Elastic constants and mechanical properties play a pivotal role across multiple disciplines and engineering applications. We introduced the optimized high-efficient strain-matrix set (OHESS) that determines the second-order elastic…

材料科学 · 物理学 2023-08-29 Zhong-Li Liu , Ya-Dong Wei , Xiao-Dong Xu , Wei-Qi Li , Gang Lv , Jian-Qun Yang , Xing-Ji Li , Chinedu E. Ekuma

We consider the problem of matching two shapes assuming these shapes are related by an elastic deformation. Using linearized elasticity theory and the finite element method we seek an elastic deformation that is caused by simple external…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Konrad Simon , Ronen Basri

The impedance/admittance measurements of a piezoelectric transducer bonded to or embedded in a host structure can be used as damage indicator. When a credible model of the healthy structure, such as the finite element model, is available,…

数据分析、统计与概率 · 物理学 2018-10-30 Pei Cao , Qi Shuai , Jiong Tang

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

计量经济学 · 经济学 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

Plastic flow is conventionally treated as continuous in finite element (FE) codes, whether in isotropic, anisotropic plasticity, or crystal plasticity. This approach, derived from continuum mechanics, contradicts the intermittent nature of…

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

系统与控制 · 电气工程与系统科学 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

数学物理 · 物理学 2015-05-13 P. S. Koutsourelakis

The efforts associated with parametrization of continuum-based models for crystal plasticity are a significant obstacle for the routine use of these models in materials science and engineering. While phenomenological constitutive…

材料科学 · 物理学 2025-02-18 Nikhil Prabhu , Martin Diehl

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

In a previous work by the first author with J. Turi (AMO, 08), a stochastic variational inequality has been introduced to model an elasto-plastic oscillator with noise. A major advantage of the stochastic variational inequality is to…

数值分析 · 数学 2011-12-21 Alain Bensoussan , Hector Jasso Fuentes , Laurent Mertz

Medical applications of robots are increasingly popular to objectivise and speed up the execution of several types of diagnostic and therapeutic interventions. Particularly important is a class of diagnostic activities that require physical…

机器人学 · 计算机科学 2023-12-18 Luca Beber , Edoardo Lamon , Luigi Palopoli , Luca Fambri , Matteo Saveriano , Daniele Fontanelli

Fitting models with high predictive accuracy that include all relevant but no irrelevant or redundant features is a challenging task on data sets with similar (e.g. highly correlated) features. We propose the approach of tuning the…

机器学习 · 统计学 2022-03-23 Andrea Bommert , Jörg Rahnenführer , Michel Lang

In the analysis of elastic-scattering experimental data, optical-model parameters (usually, depths of real and imaginary potentials) are fitted and conclusions are drawn analyzing their variations at bombardment energies close to the…

核实验 · 物理学 2015-03-16 Daniel Abriola , A. Arazi , J. Testoni , F. Gollan , G. V. Martí

The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

机器学习 · 统计学 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

软凝聚态物质 · 物理学 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

The current development of digital image correlation, whose displacement uncertainty is well below the pixel value, enables one to better characterise the behaviour of materials and the response of structures to external loads. A general…

经典物理 · 物理学 2016-08-16 François Hild , Stéphane Roux

This work integrates in-situ neutron diffraction and crystal plasticity finite element modeling to study the kinematic stability of retained austenite in high carbon bearing steels. The presence of a kinematically metastable retained…

材料科学 · 物理学 2018-01-18 Rohit Voothaluru , Vikram Bedekar , Qingge Xie , Alexandru D Stoica , R Scott Hyde , Ke An