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In engineering crystal plasticity inelastic mechanisms correspond to tensorial zero-energy valleys in the space of macroscopic strains. The flat nature of such valleys is in contradiction with the fact that plastic slips, mimicking…

Pattern Formation and Solitons · Physics 2024-06-17 N. Perchikov , L. Truskinovsky

We propose a new estimation method for the Stable Trait, Auto Regressive Trait, and State (STARTS) model, which is well known for its frequent occurrence of improper solutions. The proposed approach is implemented through a two-stage…

Methodology · Statistics 2026-01-06 Satoshi Usami

Adequate representations of brittle deformation (fracturing and faulting) are essential ingredients of long term tectonic simulations. Such models commonly rely on Mohr Coulomb plasticity coupled with prescribed softening of cohesion and/or…

Anisotropy in granular materials arises from both the internal fabric and the directionality of the stress state, yet separating these effects experimentally remains challenging. This study develops a first-order linearisation of the…

Soft Condensed Matter · Physics 2026-04-09 Mehdi Pouragha , Gertraud Medicus , Selvarajah Premnath , Siva Sivathayalan

We introduce directional regularity, a new definition of anisotropy for multivariate functional data. Instead of taking the conventional view, which determines anisotropy as a notion of smoothness along a dimension, directional regularity…

Methodology · Statistics 2026-05-05 Omar Kassi , Sunny G. W. Wang

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

This paper introduces an explicit residual-based a posteriori error analysis for the symmetric mixed finite element method in linear elasticity after Arnold-Winther with pointwise symmetric and H(div)-conforming stress approximation.…

Numerical Analysis · Mathematics 2017-05-25 C. Carstensen , D. Gallistl , J. Gedicke

Magnetic axis rotation (MAR) in ferromagnetic (FM) layers is crucial for strain-mediated converse magnetoelectric coupling. Employing the density functional theory (DFT), we computationally study the magnetic anisotropy of selected deformed…

Materials Science · Physics 2022-12-02 Zefeng Cai , Ben Xu

Magnetic anisotropy is a fundamental property of magnetic materials that determines the alignment of the spins along the preferential direction, called the easy axis of magnetization. Magnetic polycrystalline thin films offer several…

Materials Science · Physics 2024-05-02 Arun Singh Dev , Dileep Kumar

Quantitative susceptibility mapping (QSM) estimates the underlying tissue magnetic susceptibility from MRI gradient-echo phase signal and typically requires several processing steps. These steps involve phase unwrapping, brain volume…

Image and Video Processing · Electrical Eng. & Systems 2019-05-16 Hongjiang Wei , Steven Cao , Yuyao Zhang , Xiaojun Guan , Fuhua Yan , Kristen W. Yeom , Chunlei Liu

Developing a unified theory describing both ductile and brittle yielding constitutes a fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed that the nature of the yielding transition is controlled by…

Soft Condensed Matter · Physics 2024-11-22 Jack T. Parley , Peter Sollich

Strain-engineering of materials encompasses significant elastic deformation and leads to breaking of the lattice symmetry and as a consequence to the emergence of optical anisotropy. However, the capability to image and map local strain…

Optics · Physics 2024-07-26 Joan Sendra , Fabian Haake , Micha Calvo , Henning Galinski , Ralph Spolenak

In computational materials science, predicting the yield strain of crosslinked polymers remains a challenging task. A common approach is to identify yield as the first critical point of stress-strain curves simulated by molecular dynamics…

Materials Science · Physics 2016-09-20 Paul N. Patrone , Samuel Tucker , Andrew Dienstfrey

Using a novel high-performance computing implementation of a nonlinear continuum damage breakage model, we explore interactions between 3D co-seismic off-fault damage, seismic radiation, and rupture dynamics. Our simulations demonstrate…

Geophysics · Physics 2025-03-28 Zihua Niu , Alice-Agnes Gabriel , Yehuda Ben-Zion

Elasticity image, visualizing the quantitative map of tissue stiffness, can be reconstructed by solving an inverse problem. Classical methods for magnetic resonance elastography (MRE) try to solve a regularized optimization problem…

Image and Video Processing · Electrical Eng. & Systems 2021-05-28 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Shell structures are generally modeled based on kinematic hypotheses, where some of the parameters are preferentially evaluated in a phenomenological manner. In this article, asymptotic analysis against the underlying three-dimensional…

Materials Science · Physics 2025-07-02 Xiwei Pan , Yichao Zhu

Melanoma brain metastases (MBM) are common and spatially heterogeneous lesions, complicating cohort-level analyses due to anatomical variability and differing MRI protocols. We propose a fully differentiable, deep-learning-based deformable…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Nanna E. Wielenberg , Ilinca Popp , Oliver Blanck , Lucas Zander , Jan C. Peeken , Stephanie E. Combs , Anca-Ligia Grosu , Dimos Baltas , Tobias Fechter

We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an explicit inversion formula, we relate variations in…

High Energy Physics - Theory · Physics 2025-12-22 Niko Jokela , Tony Liimatainen , Miika Sarkkinen , Leo Tzou

Lumbar disc degeneration, a progressive structural wear and tear of lumbar intervertebral disc, is regarded as an essential role on low back pain, a significant global health concern. Automated lumbar spine geometry reconstruction from MR…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Linchen Qian , Jiasong Chen , Linhai Ma , Timur Urakov , Weiyong Gu , Liang Liang

Knowledge of the seismological signature of serpentinites during deformation is fundamental for interpreting seismic observations in subduction zones, but this has yet to be experimentally constrained. We measured compressional and shear…

Geophysics · Physics 2019-01-08 Emmanuel C. David , Nicolas Brantut , Lars N. Hansen , Thomas M. Mitchell