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Predicting fracture load in laminated composites with stress raisers is challenging due to complex failure mechanisms such as delamination, fibre breakage, and matrix cracking, which are heavily influenced by fibre orientation, layup…

Computational Physics · Physics 2025-10-20 Amir Mohammad Mirzaei

Dynamic mode decomposition method is deployed to investigate the heat transfer mechanism in a compressible turbulent shear layer and shockwave. To this end, highly resolved Large Eddy Simulations are performed to explore the effect of wall…

Fluid Dynamics · Physics 2025-12-30 Rozie Zangeneh

A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradient theory is combined with phase-field methods to fracture.…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Maik Dittman , Jonathan Schult , Felix Schmidt , Christian Hesch

Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale'…

Optimization and Control · Mathematics 2025-04-01 Tim Suchan , Kathrin Welker , Winnifried Wollner

We present a novel experimental approach based on 3D printing and X-ray computed tomography to characterize fracture aperture distribution and evolution in 3D fracture networks under varying stress loading conditions. We validate our…

Instrumentation and Detectors · Physics 2025-08-12 A. Patsoukis Dimou , Q. Lei , N. Watanabe , A. Suzuki

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

Numerical Analysis · Mathematics 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

Recently, a widely applicable system of hyperbolic partial differential equations has been derived that enables the deterministic computation of a full heterogeneous stress field from a measured deformation field, for example, from a strain…

Materials Science · Physics 2022-09-29 Benjamin C. Cameron , C. Cem Tasan

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

Materials Science · Physics 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

Shear stresses are the driving forces for the creation of both point and extended defects in crystals subjected to high pressures and temperatures. Recently, we observed anomalous elastic materials response in shock-compressed silicon and…

Materials Science · Physics 2009-11-11 I. I. Oleynik , S. V. Zybin , M. L. Elert , C. T. White

As recently suggested in an interestring and stimulating paper by Menga, Carbone & Dini (MCD), applying fracture mechanics energy concepts for the case of a sliding adhesive contact, imposing also the shear stress is constant at the…

Soft Condensed Matter · Physics 2020-02-19 M. Ciavarella

Here we present a model to study the micro-plastic regime of a stress-strain curve. In this model an explicit dislocation population represents the mobile dislocation content and an internal shear-stress field represents a mean-field…

Materials Science · Physics 2015-06-05 P. M. Derlet , R. Maaß

The effects of shear on energy release rate and mode mixity in a symmetric sandwich beam with isotropic layers and a debond crack at the face sheet/core interface are investigated through a semi-analytic approach based on two-dimensional…

Soft Condensed Matter · Physics 2018-03-01 Luca Barbieri , Roberta Massabo , Christian Berggreen

Frictional instabilities in fluid saturated granular materials underlie natural hazards, including submarine landslides and earthquake initiation. Experiments show distinct failure behaviors under subaerial and subaqueous conditions due to…

Soft Condensed Matter · Physics 2025-12-25 Bimal Chhushyabaga , Behrooz Ferdowsi

Erosion poses a great challenge in multi-phase mass flows as it drastically changes flow behavior and deposition pattern by dramatically increasing their masses, adversely affecting population and civil structures. There exists no…

Fluid Dynamics · Physics 2025-03-28 Shiva P. Pudasaini

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

Computational Engineering, Finance, and Science · Computer Science 2023-08-23 Roman Vodička

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

Applied Physics · Physics 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

We propose two novel data-driven dynamic mode decomposition (DMD)-type methods, the Crank--Nicolson DMD and the semi-implicit DMD, to predict the highly oscillatory dynamics of the semiclassical Schr\"odinger equations efficiently and…

Numerical Analysis · Mathematics 2026-03-31 Yizhe Feng , Weiguo Gao , Jia Yin

We present the effective action and self-consistency equations for the bosonic dynamical mean field (B-DMFT) approximation to the bosonic Hubbard model and show that it provides remarkably accurate phase diagrams and correlation functions.…

Strongly Correlated Electrons · Physics 2013-05-29 Peter Anders , Emanuel Gull , Lode Pollet , Matthias Troyer , Philipp Werner

Though a number of formulations have been proposed for phase--field models for hydraulic fracture, the definition of the degraded poroelastic strain energy varies from one model to another. This study explores previously proposed forms of…

Numerical Analysis · Mathematics 2023-10-17 Tao You , Keita Yoshioka