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A novel, concurrent multiscale approach to meso/macroscale plasticity is demonstrated. It utilizes a carefully designed coupling of a partial differential equation (pde) based theory of dislocation mediated crystal plasticity with…

计算工程、金融与科学 · 计算机科学 2020-07-15 Sabyasachi Chatterjee , Giacomo Po , Xiaohan Zhang , Amit Acharya , Nasr Ghoniem

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

材料科学 · 物理学 2026-03-17 Hayden Bromley , Robert Lipton

SrHfO3 is a potential dielectric material for metal-oxide-semiconductor (MOS) devices. SrHfO3/GaAs interface has attracted attention due to its unique properties. In this paper, the interface properties of (001) SrHfO3/GaAs are investigated…

材料科学 · 物理学 2018-02-14 Li-Bin Shi , Xiao-Ming Xiu , Xu-Yang Liu , Kai-Cheng Zhang , Chun-Ran Li , Hai-Kuan Dong

In this note we present a scaling theory for the elasticity of olympic gels, i.e., gels where the elasticity is a consequence of topology only. It is shown that two deformation regimes exist. The first is the non affine deformation regime…

软凝聚态物质 · 物理学 2009-10-30 T. A. Vilgis , M. Otto

The choice of elastic energies for thin plates and shells is an unsettled issue with consequences for much recent modeling of soft matter. Through consideration of simple deformations of a thin body in the plane, we demonstrate that four…

软凝聚态物质 · 物理学 2019-06-04 H. G. Wood , J. A. Hanna

Complex fluids containing low concentrations of slender colloidal rods can display a high viscosity, while little flow is needed to thin the fluid. This feature makes slender rods essential constituents in industrial applications and…

We present a framework that explains the strong connection in 2D materials between mechanics and electronic structure, via dislocation theory. Within this framework, Moir\'e patterns created by layered 2D materials may be understood as…

材料科学 · 物理学 2017-10-02 P. Pochet , B. McGuigan , J. Coraux , H. T. Johnson

In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the amplitude of the Burgers vectors (proportional to the…

偏微分方程分析 · 数学 2020-04-07 Adriana Garroni , Roberta Marziani , Riccardo Scala

This paper discusses the free energy of complex dislocation microstructures, which is a fundamental property of continuum plasticity. In the past, multiple models of the self energy of dislocations have been proposed in the literature that…

材料科学 · 物理学 2015-12-10 Christoph Begau , Godehard Sutmann , Alexander Hartmaier

In this work, we report an ab initio investigation based on density functional theory of the structural, energetic and electronic properties of 2D layered chalcogenides compounds based in the combination of the transition-metals (Ti, Zr,…

材料科学 · 物理学 2019-04-17 Carlos M. O. Bastos , Rafael Besse , Juarez L. F. Da Silva , Guilherme M. Sipahi

The phase behavior of rodlike molecules with polydisperse length and solvent-mediated attraction and repulsion is described by an extension of the Onsager theory for rigid rods. A phenomenological square-well potential is used to model…

软凝聚态物质 · 物理学 2015-05-13 Micah J. Green , A. Nicholas G. Parra-Vasquez , Natnael Behabtu , Matteo Pasquali

The thermodynamic dislocation theory developed for non-uniform plastic deformations is used here to simulate the stress-strain curves for crystals subjected to anti-plane shear-controlled load reversal. We show that the presence of the…

材料科学 · 物理学 2018-05-02 Khanh Chau Le , Tuan Minh Tran

The intermediate 3D XY scaling theory of superconductivity at zero and nonzero magnetic fields is developed, based only upon the dimensional hypothesis $B\sim (Length)^{-2}$. Universal as well as nonuniversal aspects of the theory are…

超导电性 · 物理学 2015-06-25 Mark Friesen , Paul Muzikar

We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic interatomic interactions, elastic deformations and discrete…

偏微分方程分析 · 数学 2024-07-23 Sergio Conti , Adriana Garroni , Michael Ortiz

The influence of coherent interface on dissipations of mechanical energy of driven dislocations near to a point of martensite type phase transition is considered. The expressions for dynamic braking of dislocations, owing to losses of…

材料科学 · 物理学 2007-05-23 V. N. Dumachev , S. I. Moiseev , V. N. Nechaev

In this paper we consider the equilibrium problem in the relaxed linear model of micromorphic elastic materials. The basic kinematical fields of this extended continuum model are the displacement $u\in \mathbb{R}^3$ and the non-symmetric…

数学物理 · 物理学 2014-03-17 Patrizio Neff , Ionel-Dumitrel Ghiba , Markus Lazar , Angela Madeo

In this paper we apply both the procedure of dimension reduction and the incorporation of structured deformations to a three-dimensional continuum in the form of a thinning domain. We apply the two processes one after the other, exchanging…

最优化与控制 · 数学 2017-12-07 Graça Carita , José Matias , Marco Morandotti , David R. Owen

This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to…

数值分析 · 数学 2017-12-14 David Seus , Florin A. Radu , Christian Rohde

It is shown that in core-radius cutoff regularized simplified elasticity (where the elastic energy depends quadratically on the full displacement gradient rather than its symmetrized version), the force on a dislocation curve by the…

偏微分方程分析 · 数学 2020-03-19 Irene Fonseca , Janusz Ginster , Stephan Wojtowytsch

We consider the energetic description of a visco-plastic evolution and derive an existence result. The energies are convex, but not necessarily quadratic. Our model is a strain gradient model in which the curl of the plastic strain…

偏微分方程分析 · 数学 2017-04-19 Matthias Röger , Ben Schweizer