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Continuum mechanics

About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the numerical solution of the unified first-order hyperbolic formulation of continuum mechanics proposed by Peshkov and Romenski is presented. But the numerical results are based on a WENO polynomial reconstruction operator on moving unstructured meshes, a fully-discrete one-step ADER scheme that is able to deal with stiff sources.

41 citations

Book ChapterDOI
01 Jan 2017
TL;DR: This chapter presents new real-time and physics-based modeling methods dedicated to deformable soft robots, and a formulation based on Lagrange Multipliers is used to model the behavior of the actuators as well as the contact with the environment.
Abstract: This chapter presents new real-time and physics-based modeling methods dedicated to deformable soft robots. In this approach, continuum mechanics provides the partial derivative equations that govern the deformations, and Finite Element Method (FEM) is used to compute numerical solutions adapted to the robot. A formulation based on Lagrange Multipliers is used to model the behavior of the actuators as well as the contact with the environment. Direct and inverse kinematic models are also obtained for real-time control. Some experiments and numerical results are presented.

41 citations

Journal ArticleDOI
01 Feb 2016
TL;DR: In this article, a general and systematic approach to calculate strain-displacement relations for several classes of 2D materials was proposed, and the results showed good agreement with the predictions of the Dirac equation coupled to continuum mechanics.
Abstract: We investigate the electromechanical coupling in single-layer 2d materials. For non-Bravais lattices, we find important corrections to the standard macroscopic strain-microscopic atomic-displacement theory. We put forward a general and systematic approach to calculate strain-displacement relations for several classes of 2d materials. We apply our findings to graphene as a study case, by combining a tight binding and a valence force-field model to calculate electronic and mechanical properties of graphene nanoribbons under strain. The results show good agreement with the predictions of the Dirac equation coupled to continuum mechanics. For this long wave-limit effective theory, we find that the strain-displacement relations lead to a renormalization correction to the strain-induced pseudo-magnetic fields. A similar renormalization is found for the strain-induced band-gap of black phosphorous. Implications for nanomechanical properties and electromechanical coupling in 2d materials are discussed.

41 citations

01 Sep 1969

41 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202363
2022136
2021150
2020176
2019181
2018185