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We present a phenomenological time-dependent Ginzburg-Landau theory of nonlinear plastic deformations in solids. Because the problem is very complex, we first give models in one and two dimensions without vacancies and interstitials, where…

Soft Condensed Matter · Physics 2009-11-07 Akira Onuki

The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

Materials Science · Physics 2024-11-14 M. L. M. François

We use molecular dynamics simulations and the Voronoi tessellation to study the geometrical modifications as a function of temperature in a model silica glass. The standard deviation of the cell volumes, which is a measure of the local…

Disordered Systems and Neural Networks · Physics 2015-06-25 Philippe Jund , Remi Jullien

Stochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional microstructure of polycrystalline materials is…

Mathematical Physics · Physics 2025-07-22 Oleksandr Kornijčuk , Luděk Heller , Zbyněk Pawlas , Viktor Beneš

The kernel of the evolution equation is used to build a mathematical theory of thermal phenomena of gaseous and condensed matter. The group velocity of sound and the molar density are proposed to be its two thermal variables that replace…

General Physics · Physics 2023-03-13 Yuri V. Gusev

Data-driven and deep learning approaches have demonstrated to have the potential of replacing classical constitutive models for complex materials. Yet, the necessity of structuring constitutive models with an incremental formulation has…

Computational Engineering, Finance, and Science · Computer Science 2023-02-28 Filippo Masi , Ioannis Stefanou

The transition between necking-mediated tensile failure of glasses, at elevated temperatures and/or low strain-rates, and shear-banding-mediated tensile failure, at low temperatures and/or high strain-rates, is investigated using tensile…

Materials Science · Physics 2023-04-11 David Richard , Ethen Lund , Jan Schroers , Eran Bouchbinder

Dislocations are the carriers of plasticity in crystalline materials. Their collective interaction behavior is dependent on the strain rate and sample size. In small specimens, details of the nucleation process are of particular importance.…

Materials Science · Physics 2020-11-05 Jianqiao Hu , Hengxu Song , Zhanli Liu , Zhuo Zhuang , Xiaoming Liu , Stefan Sandfeld

Cosmic voids in the large-scale structure of the Universe affect the peculiar motions of objects in their vicinity. Although these motions are difficult to observe directly, the clustering pattern of their surrounding tracers in redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-01 Nico Hamaus , P. M. Sutter , Guilhem Lavaux , Benjamin D. Wandelt

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus $B$ with…

Soft Condensed Matter · Physics 2022-01-05 E. A. Jagla

Estimation of threshold voltage V T variability for NWFETs has been compu- tationally expensive due to lack of analytical models. Variability estimation of NWFET is essential to design the next generation logic circuits. Compared to any…

Applied Physics · Physics 2018-08-01 P Harsha Vardhan , Sushant Mittal , Swaroop Ganguly , Udayan Ganguly

We study here, from first principles, what properties of voids are to be expected in a fractal point distribution and how the void distribution is related to its morphology. We show this relation in various examples and apply our results to…

Astrophysics · Physics 2008-11-26 Jose Gaite , Susanna C. Manrubia

Coalescence of voids by internal necking is in most cases the last microscopic event related to ductile fracture and corresponds to a localized plastic flow between adjacent voids. Macroscopic load associated to the onset of coalescence is…

Materials Science · Physics 2016-09-21 J. Hure , P. O. Barrioz

A continuum plasticity model for metals is presented from considerations of non-equilibrium thermodynamics. Of specific interest is the application of a fluctuation relation that subsumes the second law of thermodynamics en route to…

Materials Science · Physics 2016-03-31 S Roy Chowdhury , D Roy , J N Reddy

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

Machine Learning · Statistics 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

We systematically analyze the decay of metastable topological defects that arise from the spontaneous breakdown of gauge or global symmetries. Quantum-mechanical tunneling rates are estimated for a variety of decay processes. The decay rate…

High Energy Physics - Phenomenology · Physics 2010-11-01 John Preskill , Alexander Vilenkin

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

Nondestructive testing (NDT) is widely applied to defect identification of turbine components during manufacturing and operation. Operational efficiency is key for gas turbine OEM (Original Equipment Manufacturers). Automating the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Andrea Panizza , Szymon Tomasz Stefanek , Stefano Melacci , Giacomo Veneri , Marco Gori

Grain Growth strongly influences the mechanical behavior of materials, making its prediction a key objective in microstructural engineering. In this study, several deep learning approaches were evaluated, including recurrent neural networks…

Machine Learning · Computer Science 2025-11-18 Eliane Younes , Elie Hachem , Marc Bernacki

Quality control in additive manufacturing (AM) is vital for industrial applications in areas such as the automotive, medical and aerospace sectors. Geometric inaccuracies caused by shrinkage and deformations can compromise the life and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Keerthana Chand , Tobias Fritsch , Bardia Hejazi , Konstantin Poka , Giovanni Bruno