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A lattice approach is used to describe the mechanical interaction of a corroding reinforcement bar, the surrounding concrete and the interface between steel reinforcement and concrete. The cross-section of the ribbed reinforcement bar is…

Materials Science · Physics 2011-03-23 Peter Grassl , Trevor Davies

A simple micromechanical model of polycrystalline materials is proposed, which enables us to swiftly produce grain-boundary-stress distributions induced by the uniform external loading (in the elastic strain regime). Such statistical…

Materials Science · Physics 2024-05-24 Timon Mede , Samir El Shawish

For corrosion-induced cracking in reinforced concrete, naturally occurring corrosion rates are so low that rust accumulates often over tens of years near the surface of the reinforcement bars before sufficient pressure in the surrounding…

Materials Science · Physics 2022-02-08 Ismail Aldellaa , Petr Havlásek , Milan Jirásek , Peter Grassl

We study dynamics and scaling exponents in a nonlinear network model inspired by the formation of planetary systems. Dynamics of this model leads to phase separation to two types of condensate, light and heavy, distinguished by how they…

Statistical Mechanics · Physics 2013-05-29 Aleksandar Bogojevic , Antun Balaz , Aleksandar Belic

Extracorporeal Shock Wave Therapy (ESWT) is a noninvasive treatment for a variety of musculoskeletal ailments. A shock wave is generated in water and then focused using an acoustic lens or reflector so the energy of the wave is concentrated…

Numerical Analysis · Mathematics 2016-01-20 Kirsten Fagnan , Randall J. LeVeque , Thomas J. Matula

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

A lattice model is presented for investigating the fluctuations in static granular materials under gravitationally induced stress. The model is similar in spirit to the scalar q-model of Coppersmith et al., but ensures balance of all…

Condensed Matter · Physics 2009-10-30 Joshua E. S. Socolar

A simple and robust spring-block model obeying threshold dynamics is introduced to study surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find a novel phase transition in the crack morphology and…

Condensed Matter · Physics 2009-10-28 Kwan-tai Leung , Joergen Vitting Andersen

This paper presents a half-analytical elastic solution convenient for parametric studies of 2D cracked pavements. The pavement structure is reduced to three elastic and homogeneous equivalent layers resting on a soil. In a similar way than…

Materials Science · Physics 2017-08-18 Hanan Nasser , Armelle Chabot

Machine learning models can be used to predict physical quantities like homogenized elasticity stiffness tensors, which must always be symmetric positive definite (SPD) based on conservation arguments. Two datasets of homogenized elasticity…

Machine Learning · Computer Science 2022-03-29 Charles F. Jekel , Kenneth E. Swartz , Daniel A. White , Daniel A. Tortorelli , Seth E. Watts

We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the…

Other Condensed Matter · Physics 2007-05-23 Herve Henry , Herbert Levine

In the continuum theory the time evolution of surfaces eroded by ion bombardment is modelled by stochastic partial differential equations (SPDEs). These determine the scaling regimes and universality classes of the evolving surfaces.…

Materials Science · Physics 2011-04-12 Oluwole Emmanuel Oyewande

The anisotropy of wood within the radial-tangential (RT) growth plane has a major influence on the cracking behavior perpendicular to grain. Within the scope of this work, a two-dimensional discrete element model is developed, consisting of…

Materials Science · Physics 2007-05-23 Falk K. Wittel , Gerhard Dill-Langer , Bernd-H. Kroeplin

A variety of studies have modeled the physics of material deformation and damage as examples of generalized phase transitions, involving either critical phenomena or spinodal nucleation. Here we study a model for frictional sliding with…

Numerical simulations of concrete fracture performed with a probabilistic mesoscale discrete model are presented. The model represents a substantial part of material randomness by assigning random locations to the largest aggregates. The…

Computational Engineering, Finance, and Science · Computer Science 2022-08-05 Jan Eliáš , Miroslav Vořechovský

We present calculations of forces for two dimensional static sandpile models. Using a symbolic calculation software we obtain exact results for several different orientations of the lattice and for different types of supporting surfaces.…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Oron , H. J. Herrmann

Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg

Impact induced attrition processes are, beyond being essential models of industrial ore processing, broadly regarded as the key to decipher the provenance of sedimentary particles. A detailed understanding of single impact phenomena of…

Disordered Systems and Neural Networks · Physics 2021-05-27 Gergo Pal , Gabor Domokos , Ferenc Kun

A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress $\tau$. As $\tau$ is increased, the probability distribution of contact forces…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Wouter G. Ellenbroek , Thijs. J. H. Vlugt , Martin van Hecke

We develop a general incremental framework for hyperelastic solids whose surfaces exhibit both stretch-dependent and curvature-dependent elastic behavior. Building upon a variational formulation of curvature-dependent surface elasticity, we…

Mathematical Physics · Physics 2026-01-08 Xiang Yu , Michal Šmejkal , Martin Horák
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