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The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

Classical Physics · Physics 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

This work extends the hydro-mechanical phase-field fracture model to non-isothermal conditions with micromechanics based poroelasticity, which degrades Biot's coefficient not only with the phase-field variable (damage) but also with the…

Numerical Analysis · Mathematics 2024-04-25 Yuhao Liu , Keita Yoshioka , Tao You , Hanzhang Li , Fengshou Zhang

The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each…

Statistical Mechanics · Physics 2013-04-10 Ken Yamamoto , Yoshihiro Yamazaki

We derive a model for the optimization of the bending and torsional rigidities of non-homogeneous elastic rods. This is achieved by studying a sharp interface shape optimization problem with perimeter penalization, that treats both…

Optimization and Control · Mathematics 2024-05-01 Patrick Dondl , Alberto Maione , Steve Wolff-Vorbeck

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

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

Numerical Analysis · Mathematics 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

Electro-active materials are classified as electrostrictive and piezoelectric materials. They deform under the action of an external electric field. Piezoelectric material, as a special class of active materials, can produce an internal…

Numerical Analysis · Mathematics 2024-04-16 Nima Noii , Mehran Ghasabeh , Peter Wriggers

We propose a phase-field model of dynamic fracture based on the Ambrosio--Tortorelli's approximation, which takes into account dissipative effects due to the speed of the crack tips. By adapting the time discretization scheme contained in…

Analysis of PDEs · Mathematics 2025-10-06 Maicol Caponi

Strongly anisotropic geomaterials undergo fracture under compressive loading. This paper applies a phase-field fracture model to study this fracture process. While phase-field fracture models have several advantages, they provide unphysical…

Stress distributions and the corresponding fracture patterns and evolutions in the microstructures strongly influence the load-carrying capabilities of composite structures. This work introduces an enhanced phase-field fracture model…

Computational Engineering, Finance, and Science · Computer Science 2024-11-19 Yanran Wang , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modelling to compute the fracture path. A mesh reconstruction…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , Thomas Wick

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

Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are interested in the quasi-static response of a viscoelastic solid subjected to damage. This paper…

Computational Engineering, Finance, and Science · Computer Science 2023-05-15 Rajasekar Gopalsamy , Nicolas Chevaugeon , Olivier Chupin , Ferhat Hammoum

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

Computational Engineering, Finance, and Science · Computer Science 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

The fission-fragments mass-yield of 236U is obtained by an approximate solution of the eigenvalue problem of the collective Hamiltonian that describes the dynamics of the fission process whose degrees of freedom are: the fission…

Nuclear Theory · Physics 2016-07-04 Krzysztof Pomorski , Bozena Nerlo-Pomorska , Fedir A. Ivanyuk

In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear…

Analysis of PDEs · Mathematics 2022-05-30 Pushpi J. Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

The results on $\Gamma$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the…

Analysis of PDEs · Mathematics 2026-01-27 Gianni Dal Maso , Davide Donati

Eigenstate multifractality is of significant interest with potential applications in various fields of quantum physics. Most of the previous studies concentrated on fine-tuned quantum models to realize multifractality which is generally…

Disordered Systems and Neural Networks · Physics 2025-07-03 Adway Kumar Das , Anandamohan Ghosh , Ivan M. Khaymovich

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

Materials Science · Physics 2015-05-18 R. Spatschek , E. Brener , A. Karma