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This manuscript reviews the development, application and extensions of the dry glass reference perturbation theory (DGRPT) closure to the non-equilibrium thermodynamics of glassy polymers (NETGP). DGRPT was developed to allow for the…

Soft Condensed Matter · Physics 2026-05-28 Bennett D. Marshall

Hydrogen enhanced cracking is one of the many failure mechanisms in metals depending on the corrosive environment. In the presented work, a multiscale constitutive model has been presented for hydrogen enhanced intergranular cracking in…

Materials Science · Physics 2019-10-10 M Amir Siddiq , Salah Rahimi

The way particles interact with turbulent structures, particularly in regions of high vorticity and strain rate, has been investigated in simulations of homogeneous turbulence and in simple flows which have a periodic or persistent…

Fluid Dynamics · Physics 2012-05-28 Michael W. Reeks

This paper investigates hydraulic fracture in a media with periodic heterogeneous toughness. Results for the plane-strain (KGD) model are analysed. The energy distribution as the fracture propagates is examined, along with the evolution of…

Geophysics · Physics 2025-02-26 Daniel Peck , Gaspare Da Fies , Ivan Virshylo , Gennady Mishuris

Granular elasticity, an elasticity theory useful for calculating static stress distribution in granular media, is generalized to the dynamic case by including the plastic contribution of the strain. A complete hydrodynamic theory is derived…

Soft Condensed Matter · Physics 2010-10-14 Yimin Jiang , Mario Liu

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

Numerical Analysis · Mathematics 2025-04-11 Daniel Kienle , Marc-Andre Keip

Drop deformation in fluid flows is investigated here as an exchange between the kinetic energy of the fluid and the surface energy of the drop. We show analytically that this energetic exchange is controlled only by the stretching (or…

Fluid Dynamics · Physics 2021-11-11 Alberto Vela-Martín , Marc Avila

Stein Variational Gradient Descent (SVGD) is a widely used in practice algorithm for scalable sampling with deterministic particle updates. We study its behavior in the singular limit where the kernel bandwidth tends to zero. In this…

Analysis of PDEs · Mathematics 2026-05-06 José A. Carrillo , Jakub Skrzeczkowski , Jethro Warnett

As fundamental one-dimensional defects, screw dislocations profoundly reshape the energy landscape and carrier dynamics of crystalline materials. By restoring the exact algebra of the screw dislocation group, we unveil the latent symmetry…

Materials Science · Physics 2026-04-23 Yuncheng Xie , Haozhe Shi , Menglin Huang , Weibin Chu , Shiyou Chen , Xin-Gao Gong

Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure response, where the interplay between buckling and fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-08-13 Sai Kubair Kota , Siddhant Kumar , Bianca Giovanardi

Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded stresses and…

Mathematical Physics · Physics 2024-06-11 Casey Rodriguez

Solving statistical learning problems often involves nonconvex optimization. Despite the empirical success of nonconvex statistical optimization methods, their global dynamics, especially convergence to the desirable local minima, remain…

Machine Learning · Statistics 2018-08-30 Chris Junchi Li , Zhaoran Wang , Han Liu

Predicting the effect of amino acid mutations on enzyme thermodynamic stability (DDG) is fundamental to protein engineering and drug design. While recent deep learning approaches have shown promise, they often process sequence and structure…

Machine Learning · Computer Science 2025-11-10 Abigail Lin

In this paper the problem of redirection of a crack driven by viscous fluid under mixed mode loading is considered. The loading includes the classical Modes I - III and the hydraulically induced tangential traction on the fracture walls.…

Applied Physics · Physics 2020-07-24 M. Wrobel , A. Piccolroaz , P. Papanastasiou , G. Mishuris

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

We show that the delivery of fracture work to the tip of an advancing planar crack is strongly reduced by surface phonon emission, leading to forbidden ranges of crack speed. The emission can be interpreted through dispersion of the group…

Materials Science · Physics 2009-11-07 Andrea Parisi , Robin C. Ball

The control over impurities like hydrogen and oxygen is of key importance in nitride-based semiconducting due to their unrivaled applicability in optoelectronics and high power/high frequency electronics. Therefore, it is desirable to…

Materials Science · Physics 2020-08-04 Rafal Jakiela , Adam Barcz

Graphene is the extreme material for molecular sensory and hydrogen storage applications because of its two-dimensional geometry and unique structure-property relationship. In this Letter, hydrogenation of graphene is discussed in the…

Materials Science · Physics 2010-02-10 Zhiping Xu , Kun Xue

Slow strain rates tests (SSRT) were conducted on hydrogen-containing specimens of PH13-8Mo maraging stainless steel. Hydrogen-assisted subcritical quasi-cleavage cracking was shown to take place during SSRT, thus accelerating material…

Materials Science · Physics 2022-11-22 Jolan Bestautte , Szilvia Kalácska , Denis Béchet , Zacharie Obadia , Frederic Christien

We present a novel computational framework to assess the structural integrity of welds. In the first stage of the simulation framework, local fractions of microstructural constituents within weld regions are predicted based on steel…

Computational Engineering, Finance, and Science · Computer Science 2024-12-12 J. Wijnen , J. Parker , M. Gagliano , E. Martínez-Pañeda