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Related papers: Size-dependent fracture in elastomers: experiments…

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Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

Soft Condensed Matter · Physics 2026-03-17 Aditya Konale , Vikas Srivastava

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

The fractocohesive length - the ratio between fracture toughness and work-to-fracture - provides a material-specific length scale that characterizes the size-dependent fracture behavior of pristine elastomers. However, its relevance to…

Soft Condensed Matter · Physics 2025-12-04 Aimane Najmeddine , Santiago Marin , Zhen Xu , Connor Thompson , Guoliang Liu , Maryam Shakiba

This study aims to unravel the micro-mechanical underpinnings of the emergence of the fractocohesive length scale as a central concept in modern fracture mechanics. A thermodynamically consistent damage and fracture model for elastomers is…

Soft Condensed Matter · Physics 2025-09-03 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

Integral-type nonlocal damage models describe the fracture process zones by regular strain profiles insensitive to the size of finite elements, which is achieved by incorporating weighted spatial averages of certain state variables into the…

Materials Science · Physics 2014-06-16 Peter Grassl , Dimitrios Xenos , Milan Jirásek , Martin Horák

Materials with network-like microstructure, including polymers, are the backbone for many natural and human-made materials such as gels, biological tissues, metamaterials, and rubbers. Fracture processes in these networked materials are…

Soft Condensed Matter · Physics 2020-01-29 Ahmed Ghareeb , Ahmed Elbanna

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

Using a generalization of vector calculus for space with non-integer dimension, we consider elastic properties of fractal materials. Fractal materials are described by continuum models with non-integer dimensional space. A generalization of…

Materials Science · Physics 2015-03-12 Vasily E. Tarasov

We review statistical theories and numerical methods employed to consider the sample size dependence of the failure strength distribution of disordered materials. We first overview the analytical predictions of extreme value statistics and…

Materials Science · Physics 2015-05-13 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

The dynamics of rapid brittle cracks is commonly studied in the framework of linear elastic fracture mechanics where nonlinearities are neglected. However, recent experimental and theoretical work demonstrated explicitly the importance of…

Materials Science · Physics 2009-11-13 Eran Bouchbinder , Ting-Shek Lo

Many new soft but tough rubbery materials have been recently discovered and new applications such as flexible prosthetics, stretchable electrodes or soft robotics continuously emerge. Yet, a credible multi-scale quantitative picture of…

Micro and nanoscale materials have remarkable mechanical properties, such as enhanced strength and toughness, but usually display sample-to-sample fluctuations and non-trivial size effects, a nuisance for engineering applications and an…

Materials Science · Physics 2022-06-17 Alessandro Taloni , Michele Vodret , Giulio Costantini , Stefano Zapperi

A number of current theories of plasticity in amorphous solids assume at their basis that plastic deformations are spatially localized. We present in this paper a series of numerical experiments to test the degree of locality of plastic…

Statistical Mechanics · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

We study how the loading rate, specimen geometry and microstructural texture select the dynamics of a crack moving through an heterogeneous elastic material in the quasi-static approximation. We find a transition, fully controlled by two…

Statistical Mechanics · Physics 2013-09-23 Jonathan Barés , Luc Barbier , Daniel Bonamy

We study the sample size dependence of the strength of disordered materials with a flaw, by numerical simulations of lattice models for fracture. We find a crossover between a regime controlled by the fluctuations due to disorder and…

Materials Science · Physics 2009-11-13 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Understanding the fracture mechanics of soft solids remains a fundamental challenge due to their complex, nonlinear responses under large deformations. While multiaxial loading is key to probing their mechanical behavior, the role of such…

Soft Condensed Matter · Physics 2025-09-04 Miguel Angel Moreno-Mateos , Simon Wiesheier , Ali Esmaeili , Mokarram Hossain , Paul Steinmann

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

Materials Science · Physics 2021-11-12 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Esteban Samaniego , Geert Degrande , Stijn François

In this study, we introduce a novel stretch-based gradient-enhanced damage (GED) model that allows the fracture to localize and also captures the development of a physically diffuse damage zone. This capability contrasts with the paradigm…

Soft Condensed Matter · Physics 2025-02-06 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

Modelling of rough frictional interfaces is often based on asperity models, in which the individual behaviour of individual microjunctions is assumed. In the absence of local measurements at the microjunction scale, quantitative comparison…

Soft Condensed Matter · Physics 2020-05-07 Julien Scheibert , Riad Sahli , Michel Peyrard
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