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Rapid progress in additive manufacturing methods has created a new class of ultralight and strong architected metamaterials that resemble periodic truss structures. The mechanical performance of these metamaterials with a very large number…

Materials Science · Physics 2021-06-09 Angkur Jyoti Dipanka Shaikeea , Huachen Cui , Mark R. O'Masta , Xiaoyu , Zheng , Vikram S. Deshpande

For a given {\it misfit function}, a specified optimality measure of a model, its gradient describes the manner in which one may alter properties of the system to march towards a stationary point. The adjoint method, arising from…

Solar and Stellar Astrophysics · Physics 2015-05-28 Shravan Hanasoge , Aaron Birch , Laurent Gizon , Jeroen Tromp

In this paper we criticize the robustness measure traditionally employed to assess the performance of machine learning models deployed in adversarial settings. To mitigate the limitations of robustness, we introduce a new measure called…

Machine Learning · Computer Science 2021-12-07 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi , Salvatore Orlando

The design of adaptive structures is one method to improve sustainability of buildings. Adaptive structures are able to adapt to different loading and environmental conditions or to changing requirements by either small or large shape…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Renate Sachse , Florian Geiger , Manfred Bischoff

A main goal of data-driven materials research is to find optimal low-dimensional descriptors, allowing us to predict a physical property, and to interpret them in a human-understandable way. In this work, we advance methods to identify…

Materials Science · Physics 2022-12-14 Benedikt Hoock , Santiago Rigamonti , Claudia Draxl

Advanced engineering materials design involves the exploration of massive multidimensional feature spaces, the correlation of materials properties and the processing parameters derived from disparate sources. The search for alternative…

Artificial Intelligence · Computer Science 2013-01-03 Doreswamy , M. N. Vanajakshi

The identification of sound sources is a common problem in acoustics. Different parameters are sought, among these are signal and position of the sources. We present an adjoint-based approach for sound source identification, which employs…

Sound · Computer Science 2023-01-23 Mathias Lemke , Lewin Stein

Friction is fundamental to mechanical stability across scales, from geological faults and architectural structures to granular materials and animal feet. We study the mechanical stability of a minimal friction-stabilized structure composed…

Soft Condensed Matter · Physics 2025-11-11 Ryudo Suzuki , Takashi Matsushima , Tetsuo Yamaguchi , Marie Tani , Shin-ichi Sasa

Properties of typical MEMS materials have been widely investigated. Mechanical properties of MEMS structures depend not only on the bulk material properties, but also structural factors. A measurement system has been made to measure…

Other Computer Science · Computer Science 2008-12-18 Kai Axel Hals , Einar Halvorsen , Xuyuan Chen

The efficient method for computing the sensitivities is the adjoint method. The cost of solving an adjoint equation is comparable to the cost of solving the governing equation. Once the adjoint solution is obtained, the sensitivities to any…

Computational Physics · Physics 2018-05-22 Guojun Hu , Tomasz Kozlowski

This work proposes a new efficient approach for calculating the bending stiffness of two-dimensional materials using simple atomistic tests on small periodic unit cells. The tests are designed such that bending deformations are dominating…

Materials Science · Physics 2022-12-23 Farzad Shirazian , Roger A. Sauer

The existence of adversarial examples has led to considerable uncertainty regarding the trust one can justifiably put in predictions produced by automated systems. This uncertainty has, in turn, lead to considerable research effort in…

Machine Learning · Computer Science 2019-08-02 Christina Göpfert , Jan Philip Göpfert , Barbara Hammer

A weak measurement on a system is made by coupling a pointer weakly to the system and then measuring the position of the pointer. If the initial wavefunction for the pointer is real, the mean displacement of the pointer is proportional to…

Quantum Physics · Physics 2009-11-13 Graeme Mitchison

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

Methodology · Statistics 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Buckling strength estimation of architected materials has mainly been restricted to load cases oriented along symmetry axes. However, realistic load scenarios normally exhibit more general stress distributions. In this paper we propose a…

Applied Physics · Physics 2021-05-14 Morten N. Andersen , Yiqiang Wang , Fengwen Wang , Ole Sigmund

From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous…

Machine Learning · Computer Science 2023-08-31 Quan Nguyen , Emma Lejeune

Many optimization problems in electrical engineering consider a large number of design parameters. A sensitivity analysis identifies the design parameters with the strongest influence on the problem of interest. This paper introduces the…

Computational Engineering, Finance, and Science · Computer Science 2023-07-07 M. Greta Ruppert , Yvonne Späck-Leigsnering , Julian Buschbaum , Herbert De Gersem

A weak measurement consists in coupling a system to a probe in such a way that constructive interference generates a large output. So far, only the average output of the probe and its variance were studied. Here, the characteristic function…

Quantum Physics · Physics 2012-03-07 Antonio Di Lorenzo

Verification, validation and uncertainty quantification (VVUQ) have become a common practice in thermal-hydraulics analysis. An important step in the uncertainty analysis is the sensitivity analysis of various uncertain input parameters.…

Computational Physics · Physics 2018-05-04 Guojun Hu , Tomasz Kozlowski

Microbond tests composed of single fibre and matrix droplet are often used to determine the properties of fibre reinforced composites. Interfacial shear strength is quantified by the maximum pull-out force assuming a uniform stress…

Materials Science · Physics 2009-05-29 Jan Novak , Chris J. Pearce , Peter Grassl , Liu Yang , James Thomason