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Entangled matter provides intriguing perspectives in terms of deformation mechanisms, mechanical properties, assembly and disassembly. However, collective entanglement mechanisms are complex, occur over multiple length scales, and they are…

Soft Condensed Matter · Physics 2024-12-10 Youhan Sohn , Saeed Pezeshki , Francois Barthelat

Recent advances in coarse-grained lattice and off-lattice protein models are reviewed. The sequence dependence of thermodynamical folding properties are investigated and evidence for non-randomness of the binary sequences of good folders…

High Energy Physics - Lattice · Physics 2015-06-25 C. Peterson

Classification is a major tool of statistics and machine learning. A classification method first processes a training set of objects with given classes (labels), with the goal of afterward assigning new objects to one of these classes. When…

Machine Learning · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw , Mia Hubert

Computational material modeling using advanced numerical techniques speeds up the design process and reduces the costs of developing new engineering products. In the field of multiscale modeling, huge computation efforts are expected for…

Disordered Systems and Neural Networks · Physics 2023-01-31 Fadi Aldakheel , Celal Soyarslan , Hari Subramani Palanisamy , Elsayed Saber Elsayed

Materials that are strong, ultra-light weight and tough are in demand for a range of applications, requiring architectures and components carefully designed from the micrometer down to nanometer scales. Nacre-a structure found in many…

Materials Science · Physics 2017-10-12 Sylvain Deville , Eduardo Saiz , Ravi K. Nalla , Antoni P. Tomsia

An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux

Dynamic heterogeneity is now recognised as a central aspect of structural relaxation in disordered materials with slow dynamics, and was the focus of intense research in the last decade. Here we describe how initial, indirect observations…

Statistical Mechanics · Physics 2010-09-28 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Robert L Jack

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

We investigate the role of friction in compaction and segregation of granular materials by combining Edwards' thermodynamic hypothesis with a simple mechanical model and mean-field based geometrical calculations. Systems of single species…

Statistical Mechanics · Physics 2007-05-23 Yair Srebro , Dov Levine

We present both experimental and numerical investigations of compaction in granular materials composed of rods. As a function of the aspect ratio of the particles, we have observed large variations of the asymptotic packing volume fraction…

Statistical Mechanics · Physics 2009-11-10 G. Lumay , N. Vandewalle

A folded type model is developed for analyzing compositional data. The proposed model involves an extension of the $\alpha$-transformation for compositional data and provides a new and flexible class of distributions for modeling data…

Machine Learning · Statistics 2019-02-27 Michail Tsagris , Connie Stewart

We investigate the crumpling of a sheet as it is repeatedly crushed onto itself by rolling it into a cylinder and twisting it axially while allowing the end-to-end length to evolve freely. As deduced from its plastic deformations, the sheet…

Soft Condensed Matter · Physics 2025-01-22 Amit Dawadi , Arshad Kudrolli

In this combined experimental and simulation study, we utilize bond-order topology to quantitatively match particle volume fraction in mechanically uniformly compressed colloidal suspensions with temperature in atomistic simulations. The…

Soft Condensed Matter · Physics 2024-06-06 Laura Stricker , Peter M. Derlet , Ahmet Faik Demirörs , Hanumantha Rao Vutukuri , Jan Vermant

The computational analysis of fiber network fracture is an emerging field with application to paper, rubber-like materials, hydrogels, soft biological tissue, and composites. Fiber networks are often described as probabilistic structures of…

Numerical Analysis · Mathematics 2022-07-20 Vedad Tojaga , Artem Kulachenko , Soren Ostlund , T. Christian Gasser

Adhesion is a fundamental phenomenon that plays a role in many engineering and biological applications. This paper concerns the use of machine learning to characterize the effective adhesive properties when a thin film is peeled from a…

Applied Physics · Physics 2023-09-04 Maximo Cravero Baraja , Kaushik Bhattacharya

Upon mechanical loading, granular materials yield and undergo plastic deformation. The nature of plastic deformation is essential for the development of the macroscopic constitutive models and the understanding of shear band formation.…

In this paper, we explore the theme of orbifold stratified spaces and establish a general criterion for them to be smooth orbifolds. This criterion utilizes the notion of linear stratification on the gluing bundles for the orbifold…

Geometric Topology · Mathematics 2015-02-19 Bohui Chen , An-Min Li , Bai-Ling Wang

We introduce the concept of a graded bundle which is a natural generalization of the concept of a vector bundle and whose standard examples are higher tangent bundles T^nQ playing a fundamental role in higher order Lagrangian formalisms.…

Differential Geometry · Mathematics 2017-01-26 Janusz Grabowski , Mikolaj Rotkiewicz

The construction industry is a major consumer of raw materials, accounting for nearly half of global material usage annually, while generating significant waste that poses sustainability challenges. This paper explores the untapped…

Computational Engineering, Finance, and Science · Computer Science 2025-06-06 Yi Xu , Farzin Lotfi-Jam , Mustafa Faruki

In this work, we present a method for simulating the large-scale deformation and crumpling of thin, elastoplastic sheets. Motivated by the physical behavior of thin sheets during crumpling, two different formulations of the governing…

Soft Condensed Matter · Physics 2023-07-10 Jovana Andrejevic , Chris H. Rycroft