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The elastic properties of paramagnetic cubic B1 (c-) Cr1-xAlxN ternary alloys are studied using stress-strain and energy-strain methods within the framework of Density Functional Theory (DFT). A strong compositional dependence of the…

Materials Science · Physics 2014-07-10 Liangcai Zhou , David Holec , Paul H. Mayrhofer

The engineering of the optical response of materials is a paradigm that demands microscopic-level accuracy and reliable predictive theoretical tools. Here we compare and contrast the dispersive permittivity tensor, using both a low-energy…

Materials Science · Physics 2021-09-29 Mohammad Alidoust , Erlend E. Isachsen , Klaus Halterman , Jaakko Akola

Spin excitations play a fundamental role in understanding magnetic properties of materials, and have significant technological implications for magnonic devices. However, accurately modeling these in transition-metal and rare-earth…

Materials Science · Physics 2025-05-07 Luca Binci , Nicola Marzari , Iurii Timrov

When the elastic properties of structured materials become direction-dependent, the number of their descriptors increases. For example, in two-dimensions, the anisotropic behavior of materials is described by up to 6 independent elastic…

Materials Science · Physics 2023-12-14 Jagannadh Boddapati , Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis , Chiara Daraio

Auxetic materials are of great engineering interest not only because of their fascinating negative Poisson's ratio, but also due to their increased toughness and indentation resistance. These materials are typically synthesized polyester…

Materials Science · Physics 2018-12-05 Maryam Hanifpour , Charlotte F. Petersen , Mikko J. Alava , Stefano Zapperi

The dependence of the elastic tensor on the equilibrium stress is investigated theoretically. Using ideas from finite-elasticity, it is first shown that both the equilibrium stress and elastic tensor are given uniquely in terms of the…

Geophysics · Physics 2020-11-30 Matthew Maitra , David Al-Attar

We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and curvature such that any elastic energy density constructed from its invariants is…

Soft Condensed Matter · Physics 2022-06-22 E. Vitral , J. A. Hanna

Mechanical stresses are increasingly found to be associated with various biological functionalities. At the same time, topological defects are being identified across a diverse range of biological systems and are points of localized…

Soft Condensed Matter · Physics 2023-12-08 Lasse Bonn , Aleksandra Ardaševa , Amin Doostmohammadi

Refractory compositionally complex alloys (RCCAs) are considered the next generation high-temperature materials. However, their high-dimensional composition spaces are too large to explore by traditional density functional theory or…

A data driven finite element method (DDFEM) that accounts for more than two material state variables has been presented in this work. DDFEM framework is motivated from (1,2) and can account for multiple state variables, viz. stresses,…

Computational Physics · Physics 2020-03-31 M. Amir Siddiq

This work presents a hyper-viscoelastic model based on the Hencky-logarithmic strain tensor to model the response of a Tire Derived Material (TDM) undergoing moderately large deformations. TDM is a composite made by cold forging a mix of…

Classical Analysis and ODEs · Mathematics 2016-01-21 Giuseppe Montella , Sanjay Govindjee , Patrizio Neff

This contribution investigates the extension of the microplane formulation to the description of transversely isotropic materials such as shale rock, foams, unidirectional composites, and ceramics. Two possible approaches are considered: 1)…

Materials Science · Physics 2017-12-07 Congrui Jin , Marco Salviato , Weixin Li , Gianluca Cusatis

In dislocation-free martensites the components of the elastic strain tensor are constrained by the Saint-Venant compatibility condition which guarantees continuity of the body during external loading. However, in dislocated materials the…

Statistical Mechanics · Physics 2009-11-13 R. Gröger , T. Lookman , A. Saxena

The directional state transition tensor (DSTT) reduces the complexity of state transition tensor (STT) by aligning the STT terms in sensitive directions only, which provides comparable accuracy in orbital uncertainty propagation. The DSTT…

Instrumentation and Methods for Astrophysics · Physics 2024-12-11 Xingyu Zhou , Roberto Armellin , Dong Qiao , Xiangyu Li

We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally…

Analysis of PDEs · Mathematics 2024-10-10 Gennaro Ciampa , Giulio G. Giusteri , Alessio G. Soggiu

Elastic constants are central material properties, frequently reported in experimental and theoretical studies. While their computation is straightforward in the absence of thermal fluctuations, finite--temperature methods often suffer from…

Materials Science · Physics 2026-04-28 Debashish Mukherji , Marcus Müller , Martin H. Müser

The purpose of this study is to investigate the numerical-experimental mechanical behavior modeling of the recycled polymer, that is, recyclable polyethylene terephthalate (rPET), manufactured by a deposition FFF process under compressive…

Computational Engineering, Finance, and Science · Computer Science 2025-08-06 J. Mercado Colmenero , M. LaRubia , E. Mata Garcia , M. Rodriguez Santiago , C. Martin Donate

Using a combination of density-functional perturbation theory and the itinerant coherent potential approximation, we study the effects of atomic relaxation on the inelastic incoherent neutron scattering cross sections of disordered…

Materials Science · Physics 2009-11-10 Subhradip Ghosh , J. B. Neaton , Armin H. Antons , P. L. Leath , Morrel H. Cohen

We have performed accurate ab initio total energy calculations using the full-potential linearized augmented plane wave (FP-LAPW) method with the generalized gradient approximation (GGA) for the exchange-correlation potential to…

Materials Science · Physics 2009-11-13 I. R. Shein , A. L. Ivanovskii

We introduce a computational method and a user-friendly code with a terminal-based graphical user interface (GUI), named ElATools, developed to analyze mechanical and anisotropic elastic properties. ElATools enables facile analysis of the…

Materials Science · Physics 2021-11-17 Shahram Yalameha , Zahra Nourbakhsh , Daryoosh Vashaee
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