Continuum Modelling of Beamlike Lattice Trusses

2009 ◽  
Author(s):  
B. Burgardt ◽  
P. Cartraud
Keyword(s):  
Continuum Modelling

scholarly journals Stability of vacancy and interstitial dislocation loops in α-zirconium: atomistic calculations and continuum modelling

2021 ◽  
pp. 153059
Author(s):  
Cong Dai ◽  
Céline Varvenne ◽  
Peyman Saidi ◽  
Zhongwen Yao ◽  
Mark R. Daymond ◽  
...  
Keyword(s):  
Dislocation Loops ◽  
Continuum Modelling ◽  
Atomistic Calculations

A Critical Review of Existing Hydrogen Diffusion Models Accounting for Different Physical Variables

2014 ◽  
Vol 225 ◽  
pp. 13-18 ◽  
Author(s):  
Jesús Toribio ◽  
Viktor Kharin
Keyword(s):  
Plastic Strain ◽  
Continuum Mechanics ◽  
Critical Review ◽  
Hydrogen Diffusion ◽  
Hydrostatic Stress ◽  
Stress And Strain ◽  
Material Microstructure ◽  
Continuum Modelling ◽  
Physical Variables ◽  
Cumulative Plastic Strain

The present paper offers a continuum modelling of trap-affected hydrogen diffusion in metals and alloys, accounting for different physical variables of both macroscopic nature (i.e., related to continuum mechanics, e.g., stress and strain) and microscopic characteristics (material microstructure, traps, etc.). To this end, the model of hydrogen diffusion assisted by the gradients of both hydrostatic stress and cumulative plastic strain,stress-and-strain assisted hydrogen diffusion, proposed and frequently used by the authors of the present paper (Toribio & Kharin) is analysed in addition to other well-known models such as those proposed by (i) McNabb & Foster, (ii) Oriani, (iii) Leblond & Dubois, (iv) Sofronis & McMeeking, (v) Krom and Bakker, showing their physical and mathematical differences and similarities to account for different physical variables.

Continuum modelling of polyelectrolytes in solution

1985 ◽  
Vol 24 (5) ◽  
pp. 474-487 ◽  
Author(s):  
R. Drouot ◽  
G. A. Maugin
Keyword(s):  
Continuum Modelling

scholarly journals Two phase continuum modelling of composites consolidation

2009 ◽  
Vol 38 (2-4) ◽  
pp. 93-97 ◽  
Author(s):  
M. Wysocki ◽  
L. E. Asp ◽  
S. Toll ◽  
R. Larsson
Keyword(s):  
Two Phase ◽  
Continuum Modelling

scholarly journals Discrete-to-continuum modelling of weakly interacting incommensurate two-dimensional lattices

2018 ◽  
Vol 474 (2209) ◽  
pp. 20170612 ◽  
Author(s):  
Malena I. Español ◽  
Dmitry Golovaty ◽  
J. Patrick Wilber
Keyword(s):  
Continuum Model ◽  
Domain Walls ◽  
Three Dimensional ◽  
Variational Model ◽  
Dimensional System ◽  
Two Dimensional ◽  
Starting Point ◽  
Continuum Modelling ◽  
Three Dimensional System ◽  
The Continuum

In this paper, we derive a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The starting point is a discrete atomistic model for the two lattices which are assumed to have slightly different lattice parameters and, possibly, a small relative rotation. This is a prototypical example of a three-dimensional system consisting of a graphene sheet suspended over a substrate. We use a discrete-to-continuum procedure to obtain the continuum model which recovers both qualitatively and quantitatively the behaviour observed in the corresponding discrete model. The continuum model predicts that the deformable lattice develops a network of domain walls characterized by large shearing, stretching and bending deformation that accommodates the misalignment and/or mismatch between the deformable and rigid lattices. Two integer-valued parameters, which can be identified with the components of a Burgers vector, describe the mismatch between the lattices and determine the geometry and the details of the deformation associated with the domain walls.

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