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

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This work proposes an investigation on the fracturing behavior of polymer nanocomposites. Towards this end, the study leverages on the analysis of a large bulk of fracture tests from the literature with the goal of critically investigating…

Materials Science · Physics 2017-07-31 Yao Qiao , Cory Hage Mefford , Marco Salviato

The role of grain size in determining fracture toughness in metals is incompletely understood with apparently contradictory experimental observations. We study this grain-size dependence computationally by building a model that combines the…

Materials Science · Physics 2025-07-01 Jean-Michel Scherer , Mythreyi Ramesh , Blaise Bourdin , Kaushik Bhattacharya

In this work, we combine the nonlocal theory of Eringen into the E-B beam bending together with nonlinear kinematics [3]. We briefly present the derivation and key equations of this nonlinearnonlocal beam theory and investigate the role of…

Computational Physics · Physics 2012-11-29 Chi Huan Nguyen , Shailendra P. Joshi

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In…

Condensed Matter · Physics 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

We resort to variational methods to evaluate the asymptotic behavior of fine metamaterials as a function of cell size. To zeroth order, the metamaterial behaves as a micropolar continuum with both displacement and rotation degrees of…

Classical Physics · Physics 2024-12-02 J. Ulloa , M. P. Ariza , J. E. Andrade , M. Ortiz

For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

Materials Science · Physics 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-15 Stella Brach

This paper is devoted to the mechanics of fractal materials. A continuum framework accounting for the topological and metric properties of fractal domains in heterogeneous media is developed. The kinematics of deformations is elucidated and…

Materials Science · Physics 2014-09-23 Alexander S. Balankin

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

Statistical Mechanics · Physics 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

Guided by recent advances in the understanding of nucleation and propagation of fracture in elastic brittle materials, this paper proposes a suite of three simple experiments that permit the measurement of the three macroscopic material…

Soft Condensed Matter · Physics 2026-05-13 Subhrangsu Saha , Bruce J. Moore , Ben Manaugh , Jeffery R. Roesler , Oscar Lopez-Pamies

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Within the PUM global-local enrichment scheme [1, 2] different physical models can exist to…

Computational Engineering, Finance, and Science · Computer Science 2024-05-06 Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

Various mechanical phenomena depend on the length scale, and these have inspired a variety of nonlocal and higher gradient continuum theories. Mechanistically, it is believed that the length scale dependence arises due to an interplay…

Materials Science · Physics 2025-12-23 Harkirat Singh , Mayank Raj , Kaushik Bhattacharya

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

We study the origin of the scaling behavior in frictionless granular media above the jamming transition by analyzing their linear response. The response to local forcing is non-self-averaging and fluctuates over a length scale that diverges…

Soft Condensed Matter · Physics 2007-05-23 Wouter G. Ellenbroek , Ellak Somfai , Martin van Hecke , Wim van Saarloos

We formulate a nonlocal cohesive model for calculating the deformation state inside a cracking body. In this model a more complete set of physical properties including elastic and softening behavior are assigned to each point in the medium.…

Analysis of PDEs · Mathematics 2015-07-14 Robert Lipton

A theory for the prediction of the size dependence of torsional rigidities of nanosized structural elements is developed. It is shown that, to a very good approximation, the torsional rigidity (D) of a nanosized bar differs from the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Vijay B. Shenoy

This work is inspired by a recent study of a two-dimensional stochastic fragmentation model. We show that the configurational entropy of this model exhibits log-periodic oscillations as a function of the sample size, by exploiting an exact…

Statistical Mechanics · Physics 2024-05-24 Jean-Marc Luck

There is a growing interest in producing materials with mechanical behaviours similar to those of internal organs. An artificial tissue may be expected to experience several types of compressive and shear deformation in the course of normal…

Applied Physics · Physics 2018-01-01 Utkarsh Jain
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