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Pattern dynamics on curved surfaces are ubiquitous. Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics.…

Pattern Formation and Solitons · Physics 2024-03-27 Ryosuke Nishide , Shuji Ishihara

We investigate numerically the failure process when two elastic media, one hard and one soft that have been glued together thus forming a common interface, are pulled apart. We present three main results: (1) The area distribution of…

Condensed Matter · Physics 2009-11-07 G. George Batrouni , Alex Hansen , Jean Schmittbuhl

A planar crack generically segments into an array of "daughter cracks" shaped as tilted facets when loaded with both a tensile stress normal to the crack plane (mode I) and a shear stress parallel to the crack front (mode III). We…

Materials Science · Physics 2016-01-06 Chih-Hung Chen , Tristan Cambonie , Veronique Lazarus , Matteo Nicoli , Antonio Pons , Alain Karma

Stressed under a constant load, materials creep with a final acceleration of deformation and for any given applied stress and material, the creep failure time can strongly vary. We investigate creep on sheets of paper and confront the…

Statistical Mechanics · Physics 2025-12-03 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

Polyurethane adhesives are extensively used in manufacturing of the lightweight components. These adhesives are hygroscopic in nature causing the material to degrade their mechanical properties due to ageing under environmental conditions.…

Applied Physics · Physics 2024-06-10 Siva Pavan Josyula , Stefan Diebels

We study a cascading edge failure mechanism on a connected random graph with a prescribed degree sequence, sampled using the configuration model. This mechanism prescribes that every edge failure puts an additional strain on the remaining…

Probability · Mathematics 2023-07-18 Fiona Sloothaak , Lorenzo Federico

An effective computational framework of an anisotropic phase field model is used to explore the effects of interface properties, effective critical energy release rates and hole shapes on the failure process of fibre-reinforced composites…

Materials Science · Physics 2022-12-06 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Jinyou Xiao

Cracks in thin layers are influenced by what lies beneath them. From buried craters to crocodile skin, crack patterns are found over an enormous range of length scales. Regardless of absolute size, their substrates can dramatically…

Soft Condensed Matter · Physics 2016-11-15 Pawan Nandakishore , Lucas Goehring

During brittle crack propagation, a smooth crack front curve frequently becomes disjoint, generating a stepped crack and a material ligament that unites the newly formed crack fronts. These universal features fundamentally alter the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-30 Xinyue Wei , John M. Kolinski

The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist.…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sharad Ramanathan , Daniel S. Fisher

The subject of mechanical metamaterials has been gaining significant attention, however, their widespread application is still halted. Such materials are usually considered as stand-alone, vis-\`a-vis all characteristic length scales being…

Materials Science · Physics 2021-08-17 Adrianos E. F. Athanasiadis , Marcelo A. Dias , Michal K. Budzik

Strengthening of materials and preventing abrupt fracture are really challenging jobs in the field of engineering and material science. Such problems can be resolved by using composite materials. In this work, we have studied the fracture…

Materials Science · Physics 2016-02-15 Subhadeep Roy , Sanchari Goswami

Amorphous solids lack long-range order. Therefore identifying structural defects -- akin to dislocations in crystalline solids -- that carry plastic flow in these systems remains a daunting challenge. By comparing many different structural…

Laddering is the propagation of a topological defect in an everyday-life material: weft knitted fabrics, following a broken thread or a dropped stitch. What is a minor frustration when damaging a pair of tights is a more serious issue for…

Soft Condensed Matter · Physics 2026-04-23 Antoine Faulconnier , Laura Michel , Mokhtar Adda-Bedia , Jérôme Crassous , Audrey Steinberger

Aging is driven by subcellular processes that are relatively well-understood. However the qualitative mechanisms and quantitative dynamics of how these micro-level failures cascade to a macro-level catastrophe in a tissue or organs remain…

Tissues and Organs · Quantitative Biology 2021-02-03 Gurdip Uppal , Gokhan Bahcecioglu , Pinar Zorlutuna , Dervis Can Vural

The two principal ingredients determining the failure modes of disordered solids are the level of heterogeneity and the length scale of the region affected in the solid following a local failure. While the latter facilitates damage…

Disordered Systems and Neural Networks · Physics 2018-01-10 Subhadeep Roy , Soumyajyoti Biswas , Purusattam Ray

The velocity jump found in the crack propagation for rubbers has been a powerful tool for developing tough rubber materials. Although it is suggested by a theory that the jump could be observed widely for viscoelastic materials, the report…

Soft Condensed Matter · Physics 2025-11-19 Aoi Nohara , Ko Okumura

Understanding failure in nanomaterials is critical for the design of reliable structural materials and small-scale devices that have components or microstructural elements at the nanometer length scale. No consensus exists on the effect of…

Materials Science · Physics 2013-07-12 X. Wendy Gu , Zhaoxuan Wu , Yong-Wei Zhang , David J. Srolovitz , Julia R. Greer

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

These notes address the mechanics of propagating hydraulic fractures (HF). In the first part, we focus on how different physical mechanisms (dissipation in fluid and solid, fluid storage in fracture and its exchange with permeable rock,…

Geophysics · Physics 2022-09-27 Dmitry I. Garagash