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Drop impact causes severe surface erosion, dictating many important natural, environmental and engineering processes and calling for substantial prevention and preservation efforts. Nevertheless, despite extensive studies on the kinematic…

In this paper we demonstrate the influence of the pore pressure to the development of a hydraulically-driven fracture in a poroelastic medium. We present a novel numerical model for propagation of a planar hydraulic fracture and prove its…

Fluid Dynamics · Physics 2016-08-30 Sergey V. Golovin , Alexey N. Baykin

The process of frictional rupture, i.e. the failure of frictional systems, abounds in the technological and natural world around us, ranging from squealing car brake pads to earthquakes along geological faults. A general framework for…

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

We investigate two destabilization mechanisms for elastic polymer films and put them into a general framework: first, instabilities due to in-plane stress and second due to an externally applied electric field normal to the film's free…

Soft Condensed Matter · Physics 2015-05-20 Fabien Closa , Falko Ziebert , Elie Raphael

Using a simple and generic molecular dynamics model, we study the damage in a disc of interacting particles as the disc fragments upon impact with a wall. The damage, defined as the ratio of the number of bonds broken by the impact to the…

Statistical Mechanics · Physics 2011-01-21 N. Sator , H. Hietala

Impact of a solid object onto a small-body surface can be modeled by the solid impact onto a hierarchically structured granular target. Impact drag force model for the hierarchically structured granular target is developed based on the…

Earth and Planetary Astrophysics · Physics 2022-08-24 F. Okubo , H. Katsuragi

Over the past seven years, full-field analyses of a wide range of classical as well as modern quasi-static fracture experiments on nominally elastic brittle materials -- ranging from hard ceramics to soft elastomers -- have repeatedly…

Materials Science · Physics 2024-11-26 Yangyuanchen Liu , Oscar Lopez-Pamies , John E. Dolbow

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

Numerical modeling of hydraulic fracturing is complicated when a fracture reaches a stress barrier. For high barriers, it may require changing of a computational scheme. Despite there are examples of modeling propagation through barriers,…

Fluid Dynamics · Physics 2024-07-12 Aleksandr Linkov , Liliana Rybarska-Rusinek , Ewa Rejwer-Kosińska

We study the brittle fragmentation of spheres by using a three-dimensional Discrete Element Model. Large scale computer simulations are performed with a model that consists of agglomerates of many particles, interconnected by beam-truss…

Statistical Mechanics · Physics 2009-11-13 H. A. Carmona , F. K. Wittel , F. Kun , H. J. Herrmann

Molecular-dynamics simulations of fracture in metallic glass-like systems are observed to undergo embrittlement due to a small change in interatomic potential. This change in fracture toughness, however, is not accompanied by a…

Materials Science · Physics 2009-10-31 M. L. Falk

Fragmentation can be observed in nature and in everyday life on a wide range of length scales and for all kinds of technical applications. Most studies on dynamic failure focus on the behaviour of bulk systems in one, two and three…

Soft Condensed Matter · Physics 2015-10-02 Falk K. Wittel , Ferenc Kun , Hans J. Herrmann , Bernd H. Kröplin

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

In diffusion processes of solid materials, such as in the classical thermal shock problem and the recent lithium ion battery, the maximum diffusion induced stress (DIS) is a very important quantity. However a widely accepted, accurate and…

Materials Science · Physics 2014-05-16 HaiJun Lei , HeLing Wang , Bin Liu , ChangAn Wang

Mathematical models and computer algorithms are developed to calculate dynamic stress concentration and fracture wave propagation in a reinforced composite sheet. The composite consists of a regular system alternating extensible fibers and…

Computational Physics · Physics 2012-03-09 M. Ayzenberg-Stepanenko , Z. Yanovitsky , G. Osharovich

We investigate the stress-driven morphological instability of epitaxially growing multilayer films, which are coherent and dislocation-free. We construct a direct elastic analysis, from which we determine the elastic state of the system…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

In this paper, we augment existing techniques for simulating flexible objects to include models for crack initiation and propagation in three-dimensional volumes. By analyzing the stress tensors computed over a finite element model, the…

Graphics · Computer Science 2023-03-07 James F. O'Brien , Jessica K. Hodgins

Out-of-equilibrium systems, inherently complex and challenging to understand, are prevalent across various disciplines, including physics where they arise in contexts such as fluid dynamics. In particular, critical out-of-equilibrium…

Statistical Mechanics · Physics 2025-10-14 J. M. Marcos

This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model we consider is a…

Numerical Analysis · Mathematics 2020-02-19 Mats Kirkesæther Brun , Thomas Wick , Inga Berre , Jan Martin Nordbotten , Florin Adrian Radu