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In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

In this paper, an analytical predictive model of interface charge traps in symmetric long channel double-gate junctionless transistors is proposed based on a charge-based model. Interface charge traps arising from the exposure to chemicals,…

Applied Physics · Physics 2020-01-08 Amin Rassekh , Farzan Jazaeri , Morteza Fathipour , Jean-Michel Sallese

We study the roughness of a crack interface in a sheet of paper. We distinguish between slow (sub-critical) and fast crack growth regimes. We show that the fracture roughness is different in the two regimes using a new method based on a…

Statistical Mechanics · Physics 2009-11-11 N. Mallick , P. -P. Cortet , S. Santucci , S. G. Roux , L. Vanel

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

The phase-field approach to fracture has been proven to be a mathematically sound and easy to implement method for computing crack propagation with arbitrary crack paths. Hereby crack growth is driven by energy minimization resulting in a…

Numerical Analysis · Mathematics 2019-06-26 Carola Bilgen , Kerstin Weinberg

We propose a full 3D benchmark problem for brittle fracture based on experiments as well as a validation in the context of phase-field models. The example consists of a series of four-point bending tests on graphite specimens with sharp…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Lisa Hug , Stefan Kollmannsberger , Zohar Yosibash , Ernst Rank

The accurate measurement of fracture resistance in elastomers is essential for predicting the mechanical limits of soft devices. Usually, this is achieved by performing tearing or peeling experiments on thin-sheet samples. Here, we show…

Soft Condensed Matter · Physics 2023-06-12 Nan Xue , Rong Long , Eric R. Dufresne , Robert W. Style

Hip fracture risk assessment is an important but challenging task. Quantitative CT-based patient specific finite element analysis (FEA) computes the force (fracture load) to break the proximal femur in a particular loading condition. It…

In traditional phase-field modeling of multiphase materials, a significant challenge arises from the non-local nature of fracture energy regularization, where interfacial toughness is inherently coupled with the properties of the…

Computational Physics · Physics 2026-04-14 Ye-Hang Qin , Ye Feng

The incompatibility of linearized piecewise smooth strain field, arising out of volumetric and surface densities of topological defects and metric anomalies, is investigated. First, general forms of compatibility equations are derived for a…

Mathematical Physics · Physics 2019-03-27 Animesh Pandey , Anurag Gupta

The stress field at the tip of a crack of a thin plate of elastic material that is broken due to a mode III shear tearing has a universal form with a non-universal amplitude, known as the stress intensity factor, which depends on the crack…

Materials Science · Physics 2015-05-20 Yossi Cohen , Itamar Procaccia

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly…

Statistical Mechanics · Physics 2015-06-24 I. L. Menezes-Sobrinho , J. G. Moreira , A. T. Bernardes

When brittle hydrogels fail, several mechanisms conspire to alter the state of stress near the tip of a crack, and it is challenging to identify which mechanism is dominant. In the fracture of brittle solids, a sufficient far-field stress…

Materials Science · Physics 2023-06-28 Chenzhuo Li , Xinyue Wei , Meng Wang , Mokhtar Adda-Bedia , John M. Kolinski

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder,…

Disordered Systems and Neural Networks · Physics 2022-12-21 Tom W. J. de Geus , Matthieu Wyart

The topologies of existing interface elements used to discretize cohesive cracks are such that they can be used to compute the relative displacements (displacement discontinuities) of two opposing segments (in 2D) or of two opposing facets…

Materials Science · Physics 2016-04-19 M. Paggi , P. Wriggers

We investigate the role of architected thin films in the interfacial failure properties of bi-layer composites. Our results show that, while graded structures can be used to prescribe failure at the interface, they do not offer significant…

Materials Science · Physics 2026-03-10 Christian Greff , Leon Pyka , Michael Zaiser , Paolo Moretti

We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…

The fracture of highly deformable soft materials is of great practical importance in a wide range of technological applications, emerging in fields such as soft robotics, stretchable electronics and tissue engineering. From a basic physics…

Soft Condensed Matter · Physics 2022-10-05 Rong Long , Chung-Yuen Hui , Jian Ping Gong , Eran Bouchbinder

We consider an infinite bi-material plane containing a semi-infinite crack situated on a soft imperfect interface. The crack is loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight…

Materials Science · Physics 2014-03-25 G. Mishuris , A. Piccolroaz , A. Vellender

This paper analyses the problem of a semi-infinite fluid-driven fracture propagating through multiple stress layers in a permeable elastic medium. Such a problem represents the tip region of a planar hydraulic fracture. When the hydraulic…

Geophysics · Physics 2023-05-23 A. V. Valov , E. V. Dontsov