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We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

Friction plays a fundamental role in many natural processes, including earthquakes, landslides, and volcanic eruptions. Earthquakes occur when highly compressed fault surfaces accumulate large enough shear stresses, causing the faults to…

Materials Science · Physics 2026-02-16 Mary Agajanian , Nadia Lapusta , Anna Pandolfi , Michael Ortiz

A new criterion for pressure-driven interchange instabilities in cylindrical geometry is derived, based on an alternate use of the Energy Principle. This criterion is inequivalent to Suydam's criterion and does not contain the magnetic…

Fluid Dynamics · Physics 2015-06-26 P. -Y. Longaretti

We present a theory for Coulomb drag between two mesoscopic systems. Our formalism expresses the drag in terms of scattering matrices and wave functions, and its range of validity covers both ballistic and disordered systems. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

The tensile failure mechanism of Cu-Polyethylene-Cu (CPC) sandwich structure was clarified by molecular dynamics (MD) simulations subjected to a uniaxial tensile loading at microscopic scale. The sensitivity analysis of parameters such as…

Soft Condensed Matter · Physics 2018-06-05 Changyu Meng , Lijuan Liao , Chenguang Huang

A general force-perturbation-based criterion for solid instability is proposed, which can predict instability including crease without priori knowledge of instability configuration. The crease instability is analyzed in detail, we found…

Soft Condensed Matter · Physics 2020-01-01 Pengfei Yang , Yaopeng Fang , Yanan Yuan , Shun Meng , Haroon Imtiaz , Bin Liu , Huajian Gao

Fragility curves are commonly used in civil engineering to estimate the vulnerability of structures to earthquakes. The probability of failure associated with a failure criterion (e.g. the maximal inter-storey drift ratio being greater than…

Applications · Statistics 2015-05-05 Bruno Sudret , Chu Mai , Katerina Konakli

A damage-plasticity constitutive model for the description of fracture in plain concrete is presented. Two approaches, the local model comprising the adjustment of the softening modulus and the nonlocal model based on spatial averaging of…

Materials Science · Physics 2009-01-02 Peter Grassl

We present a microstructural model of permeability in fractured solids, where the fractures are described in terms of recursive families of parallel, equidistant cohesive faults. Faults originate upon the attainment of a tensile or shear…

Computational Physics · Physics 2017-04-26 Maria Laura De Bellis , Gabriele Della Vecchia , Michael Ortiz , Anna Pandolfi

Contraction, expansion and despinning have been common in the past evolution of Solar System bodies. These processes deform the lithosphere until it breaks along faults. The type and orientation of faults are usually determined under the…

Geophysics · Physics 2010-11-09 Mikael Beuthe

Mechanical metamaterials with engineered failure properties typically rely on periodic unit cell geometries or bespoke microstructures to achieve their unique properties. We demonstrate that intelligent use of disorder in metamaterials…

Materials Science · Physics 2024-07-11 Sage Fulco , Michal K. Budzik , Hongyi Xiao , Douglas J. Durian , Kevin T. Turner

The failure of 2D numerical cohesive granular steps collapsing under gravity are simulated for a large range of cohesion. Focussing on the cumulative displacement of the grains, and defining a displacement threshold, we establish a sensible…

Soft Condensed Matter · Physics 2022-04-01 Lydie Staron , Laurent Duchemin , Anais Abramian , Pierre-Yves Lagrée

Natural earthquake fault systems are highly non-homogeneous. The inhomogeneities occur be- cause the earth is made of a variety of materials which hold and dissipate stress differently. In this work, we study scaling in earthquake fault…

Geophysics · Physics 2015-03-17 Rachele Dominguez , Kristy Tiampo , C. A. Serino , W. Klein

We propose a phase-field model of shear fractures using the deviatoric stress decomposition (DSD). This choice allows us to use general three-dimensional Mohr-Coulomb's (MC) failure function for formulating the relations and evaluating peak…

Computational Engineering, Finance, and Science · Computer Science 2023-03-14 Ehsan Haghighat , David Santillán

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

Soft Condensed Matter · Physics 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

Applied Physics · Physics 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

A standard quantitative method to access credit risk employs a factor model based on joint multivariate normal distribution properties. By extending a one-factor Gaussian copula model to make a more accurate default forecast, this paper…

Risk Management · Quantitative Finance 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

We study Coulomb blockade effects in the thermodynamic quantities of a weakly disordered metallic grain coupled to a metallic lead by a tunneling contact with a large conductance $g_T$. We consider the case of broken time-reversal symmetry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. S. Beloborodov , A. V. Andreev

Anticipating changes to vehicle interiors with future automated driving systems, the automobile industry recently has focused attention on crash response in relaxed postures with increased seatback recline. Prior research found that this…

Quantitative Methods · Quantitative Biology 2022-06-22 Sophia K. Tushak , Bronislaw D. Gepner , Jason L. Forman , Jason J. Hallman , Bengt Pipkorn , Jason R. Kerrigan

The mechanical behavior of porous materials depends strongly on porosity and pore geometry, but also on morphological parameters characterizing the spatial arrangement of pores. Here we use bond-based peridynamics to study effects of…

Materials Science · Physics 2023-05-17 Jonas Ritter , Shucheta Shegufta , Michael Zaiser