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The model of Zhao and Suo can be readily generalized to predict the critical breakdown electric field $E_c$ value of elastomers with arbitrary elastic strain energy function. An explicit expression for $E_c$ is presented for elastomeric…

Materials Science · Physics 2008-01-15 Andrew N. Norris

Ultrasound elastography is the method to image the elasticity of compliant tissues due to a mechanical compression applied to it. In elastography, the local strain of explored tissue is estimated by analyzing the echo signals. This is…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Irteza Enan Kabir

OpenSesame is a program for generating tabular equations of state (EOS), with capabilities for multiphase EOS construction. In this tutorial, we provide an overview of how to run OpenSesame to construct a multiphase EOS. We discuss some…

We propose a general method for deriving one-dimensional models for nonlinear structures. It captures the contribution to the strain energy arising not only from the macroscopic elastic strain as in classical structural models, but also…

Applied Physics · Physics 2020-03-18 Claire Lestringant , Basile Audoly

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

In the present work, the elastic constants and derived properties of tetragonal and cubic Heusler compounds were calculated using the high accuracy of the full-potential linearized augmented plane wave (FPLAPW). To find the criteria…

Materials Science · Physics 2020-09-03 Shu-Chun Wu , S. Shahab Naghavi , Gerhard H. Fecher , Claudia Felser

We propose a general approach to the higher-order homogenization of discrete elastic networks made up of linear elastic beams or springs in dimension 2 or 3. The network may be nearly (rather than exactly) periodic: its elastic and…

Soft Condensed Matter · Physics 2024-04-18 Yang Ye , Basile Audoly , Claire Lestringant

In the perspective of developing smart hybrid materials with customized features, ferrogels and magnetorheological elastomers allow a synergy of elasticity and magnetism. The interplay between elastic and magnetic properties gives rise to a…

Soft Condensed Matter · Physics 2016-10-12 Giorgio Pessot , Hartmut Löwen , Andreas M. Menzel

We present PyAtoms, an interactive open-source software that rapidly simulates atomic-scale scanning tunneling microscopy (STM) and other scanning probe microscopy (SPM) images of two-dimensional (2D) layered materials, moir\'{e} systems,…

The sliding columnar phase is a new liquid-crystalline phase of matter composed of two-dimensional smectic lattices stacked one on top of the other. This phase is characterized by strong orientational but weak positional correlations…

Soft Condensed Matter · Physics 2009-10-31 C. S. O'Hern , T. C. Lubensky

We present an asymptotically faster algorithm for solving linear systems in well-structured 3-dimensional truss stiffness matrices. These linear systems arise from linear elasticity problems, and can be viewed as extensions of graph…

Data Structures and Algorithms · Computer Science 2018-05-25 Rasmus Kyng , Richard Peng , Robert Schwieterman , Peng Zhang

A general nonlinear theory for the elasticity of pre-stressed single crystals is presented. Various types of elastic moduli are defined, their importance is determined, and relationships between them are presented. In particular, B moduli…

Materials Science · Physics 2022-01-05 Valery I. Levitas

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

Materials Science · Physics 2025-02-20 Wenqing Zhu

We demonstrate the continuous tuning of the electronic structure of atomically thin MoS2 on flexible substrates by applying a uniaxial tensile strain. A redshift at a rate of ~70 meV per percent applied strain for direct gap transitions,…

Mesoscale and Nanoscale Physics · Physics 2013-06-24 Keliang He , Charles Poole , Kin Fai Mak , Jie Shan

We present an analytical model to investigate the mechanics of 2-dimensional lattices composed of elastic beams of non-uniform cross-section. Our approach is based on reducing a lattice to a single beam subject to the action of a set of…

Soft Condensed Matter · Physics 2016-02-22 Daniel J. Rayneau-Kirkhope , Marcelo A. Dias

In many processes for crystalline materials such as precipitation, heteroepitaxy, alloying, and phase transformation, lattice expansion or compression of embedded domains occurs. This can significantly alter the mechanical response of the…

Mathematical Physics · Physics 2023-12-13 Marco Salvalaglio , Karthikeyan Chockalingam , Axel Voigt , Willy Dörfler

We develop an entropy-stable high-order numerical method for the two-dimensional compressible Euler equations on general curvilinear meshes. The proposed approach is based on a nodal discontinuous Galerkin spectral element method (DGSEM)…

Numerical Analysis · Mathematics 2026-02-20 Jielin Yang , Guosheng Fu

A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties…

Fluid Dynamics · Physics 2025-10-30 William N. Bodé , Fabian Lickert , Per Augustsson , Henrik Bruus

We compute the stresses in an elastic medium confined in a vertical column, when the material is at the Coulomb threshold everywhere at the walls. Simulations are performed in 2 dimensions using a spring lattice, and in 3 dimensions, using…

Soft Condensed Matter · Physics 2016-08-16 G. Ovarlez , E. Clément

In this paper we have investigated, through computer simulations, dislocation nucleation and dislocation dynamics in a heterostructure system with the lattice-mismatch interface, i.e. a system with internal strain. In particular, we have…

Materials Science · Physics 2018-04-20 Marco Patriarca , Antti Kuronen , Kimmo Kaski
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