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Microstructure of materials is often characterized through image analysis to understand processing-structure-properties linkages. We propose a largely automated framework that integrates unsupervised and supervised learning methods to…

Applications · Statistics 2025-09-05 Kungang Zhang , Wei Chen , Wing K. Liu , L. Catherine Brinson , Daniel W. Apley

We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The method is based on the Localized Orthogonal Decomposition…

Numerical Analysis · Mathematics 2026-03-23 Moritz Hauck , Axel Målqvist , Malin Mosquera

The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

Materials Science · Physics 2024-11-14 M. L. M. François

Soft materials such as rubbers, hydrogels, and biological tissues undergo damage in the form of stiffness degradation without apparent changes in their stress-free geometry. Accurate simulation of this behavior is critical in applications…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Mark Wilkinson , Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

We propose a multiscale mechanobiological model of bone remodelling to investigate the site-specific evolution of bone volume fraction across the midshaft of a femur. The model includes hormonal regulation and biochemical coupling of bone…

Tissues and Organs · Quantitative Biology 2016-05-13 C. Lerebours , P. R. Buenzli , S. Scheiner , P. Pivonka

Coherent imaging techniques such as ptychography offer powerful capabilities for 3D resolution of nanoscale structures. By application in grazing incidence, such techniques may achieve exceptional surface sensitivity as demonstrated by…

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

Numerical Analysis · Mathematics 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

Accurate modelling of object deformations is crucial for a wide range of robotic manipulation tasks, where interacting with soft or deformable objects is essential. Current methods struggle to generalise to unseen forces or adapt to new…

Robotics · Computer Science 2025-05-20 Sean M. V. Collins , Brendan Tidd , Mahsa Baktashmotlagh , Peyman Moghadam

We present a new effective way for performance capture of deforming meshes with fine-scale time-varying surface detail from multi-view video. Our method builds up on coarse 4D surface reconstructions, as obtained with commonly used…

Computer Vision and Pattern Recognition · Computer Science 2016-02-08 Nadia Robertini , Edilson De Aguiar , Thomas Helten , Christian Theobalt

In this work, we develop a novel technique for reconstructing images from projection-based nano- and microtomography. Our contribution focuses on enhancing reconstruction quality, particularly for specimen composed of homogeneous material…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Anuraag Mishra , Andrea Gilch , Benjamin Apeleo Zubiri , Jan Rolfes , Frauke Liers

In multiphysics damage problems, material degradation is often modeled using local or global damage variables, whose evolution introduces strong nonlinearities and significant computational costs. Linear projection-based reduced-order…

Mathematical Physics · Physics 2025-08-26 Qinghua Zhang , Stephan Ritzert , Jian Zhang , Jannick Kehls , Stefanie Reese , Tim Brepols

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

The nature of the amorphous state has been notably difficult to ascertain at the microscopic level. In addition to the fundamental importance of understanding the amorphous state, potential changes to amorphous structures as a result of…

Disordered Systems and Neural Networks · Physics 2020-07-30 A. Diver , O. Dicks , A. M. Elena , I. T. Todorov , K. Trachenko

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Within the PUM global-local enrichment scheme [1, 2] different physical models can exist to…

Computational Engineering, Finance, and Science · Computer Science 2024-05-06 Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

Accurate medical image segmentation is fundamental to precision medicine, yet robust delineation remains challenging under heterogeneous appearances, ambiguous boundaries, and large anatomical variability. Similar intensity and texture…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zhiquan Chen , Haitao Wang , Guowei Zou , Hejun Wu

A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities…

Numerical Analysis · Mathematics 2022-08-10 Nima Noii , Amirreza Khodadadian , Fadi Aldakheel

Current methods of practice for inspection of civil infrastructure typically involve visual assessments conducted manually by trained inspectors. For post-earthquake structural inspections, the number of structures to be inspected often far…

Computer Vision and Pattern Recognition · Computer Science 2018-05-04 Vedhus Hoskere , Yasutaka Narazaki , Tu Hoang , BillieF Spencer

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

Materials Science · Physics 2020-08-26 Sansit Patnaik , Fabio Semperlotti

Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the…

Statistical Mechanics · Physics 2009-12-28 S. G. Abaimov