Since 1963
ARTICLE
Static and kinematic shakedown theorems in diffusion-induced plasticity
| 1 | Laboratoire Navier, Ecole des Ponts ParisTech, Universit´e Gustave Eiffel, CNRS, Marne la Vallee, France |
CORRESPONDING AUTHOR
Submission date: 2019-11-27
Acceptance date: 2020-01-23
Online publication date: 2020-04-15
Publication date: 2020-04-15
Journal of Theoretical and Applied Mechanics 2020;58(2):415–424
KEYWORDS
TOPICS
solid mechanicsmechanics of continuastructures mechanicsfatigue of materialscoupled fields mechanicsclassical mechanics
ABSTRACT
We present shakedown theorems applying to cyclically loaded media in which plastic flow and
diffusion of guest atoms are coupled. The presented theorems are in the spirit of Melan and
Koiter theorems in plasticity. They allow one to estimate the loading parameters for which
elastic shakedown occurs, i.e. for which the plastic strain stabilizes to a time-independent
limit. An application related to lithium-ion batteries is presented.
REFERENCES (11)
1.
Brassart L., Zhao K., Suo Z., 2013, Cyclic plasticity and shakedown in high-capacity electrodes of lithium-ion batteries, International Journal of Solids and Structures, 50, 1120-1129.
2.
Klarbring A., Barber J.R., Spagnoli A., Terzano M., 2017, Shakedown of discrete systems involving plasticity and friction, European Journal of Mechanics – A/Solids, 64, 160-164.
3.
Koiter W.T., 1960, General theorems for elastic-plastic solids, [In:] Progress in Solid Mechanics, I.N. Sneddon, R. Hill (Edit.), 4, 165-221.
4.
Larché F., Cahn J.W., 1973, A linear theory of thermochemical equilibrium of solids under stress, Acta Metallurgica, 21, 1051-1063.
5.
Melan E., 1936, Theorie statisch unbestimmter Systeme aus ideal-plastischen Baustoff, Sitz. Berl. Ak. Wiss., 145, 195-218.
6.
Nguyen Q.S., 2003, On shakedown analysis in hardening plasticity, Journal of the Mechanics and Physics of Solids, 51, 101-125.
7.
Peigney M., 2010, Shakedown theorems and asymptotic behaviour of solids in non-smooth mechanics, European Journal of Mechanics – A/Solids, 29, 784-793.
8.
Peigney M., 2014a, On shakedown of shape memory alloys structures, Annals of Solid and Structural Mechanics, 6, 17-28.
9.
Peigney M., 2014b, Shakedown of elastic-perfectly plastic materials with temperature-dependent elastic moduli, Journal of the Mechanics and Physics of Solids, 71, 112-131.
10.
Peigney M., 2018, Cyclic steady states in diffusion-induced plasticity with applications to lithium-ion batteries, Journal of the Mechanics and Physics of Solids, 111, 530-556.
11.
Pham D.C., 2017, Consistent limited kinematic hardening plasticity theory and path-independent shakedown theorems, International Journal of Mechanical Sciences, 130, 11-18.
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