ARTICLE
Interaction between edge dislocation and inhomogeneity of an arbitrary shape and properties under coupled thermomechanical strains
,
 
Ang Li 2
,
 
,
 
 
 
 
More details
Hide details
1
Xi’an University of Technology, Department of Engineering Mechanics, Xi’an, China
 
2
Xi’an Jiaotong University, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an, China
 
 
Submission date: 2020-06-11
 
 
Final revision date: 2020-09-25
 
 
Acceptance date: 2020-11-12
 
 
Online publication date: 2020-12-02
 
 
Publication date: 2021-01-15
 
 
Corresponding author
Yang Sun   

Department of Engineering Mechanics, Xi’an University of Technology, China
 
 
Journal of Theoretical and Applied Mechanics 2021;59(1):121-133
 
KEYWORDS
TOPICS
ABSTRACT
In this work, a general approximate solution for the configurational force between edge dislocation and inhomogeneity of an arbitrary shape and properties with coupled thermo- mechanical loads was developed on the basis of the Eshelby equivalent inclusion theory. The effect of temperature-dependent elastic properties, thermal expansion coefficient and yield strength on the configurational forces was analyzed. Furthermore, the configurational force considered to be the driving force for dislocation migration was innovatively used to investigate the interaction mechanism between graphene and internal defects of a metal.
REFERENCES (25)
1.
Alquier D., Bongiorno C., Roccaforte F., Raineri V., 2005, Interaction between dislocations and He-implantation-induced voids in GaN epitaxial layers, Applied Physics Letters, 86, 211911.
 
2.
Baxevanakis K.P., Georgiadis H.G., 2019, A displacement-based formulation for interaction problems between cracks and dislocation dipoles in couple-stress elasticity, International Journal of Solids and Structures, 159, 1-20.
 
3.
Bennett K.C., Luscher D.J., Buechler M.A., Yeager J.D., 2018, A micromechanical framework and modified self-consistent homogenization scheme for the thermoelasticity of porous bonded-particle assemblies, International Journal of Solids and Structures, 139, 224-237.
 
4.
Callister Jr W.D., Rethwisch D.G., 2014, Materials Science and Engineering: An Introduction , 9rd Ed., John Wiley & Sons Inc.
 
5.
Dundurs J., Mura T., 1964, Interaction between an edge dislocation and a circular inclusion, Journal of the Mechanics and Physics of Solids, 12, 3, 177-189.
 
6.
Ebrahimi F., Barati M.R., Dabbagh A., 2016, A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates, International Journal of Engineering Science, 107, 169-182.
 
7.
Eshelby J.D., 1951, The force on an elastic singularity, Pilosophical Transactions of the Royal Society of London Series A: Mathematical and Physical Sciences, 244, 877, 87-112.
 
8.
Fisher E.S., Renken C.J., 1964, Single-crystal elastic moduli and the hcp →bcc transformation in Ti, Zr, and Hf, Physical Review, 135, 482-494.
 
9.
Gray D.E., 1972, American Institute of Physics Handbook, 3rd Ed., McGraw-Hill Inc.
 
10.
Kim Y., Lee J., Yeom M.S., Shin J.W., Kim H., Cui Y., Kysar J.W., Hone J., Jung Y., Jeon S., Han S.M., 2013, Strengthening effect of single-atomic-layer graphene in metal-graphene nanolayered composites, Nature Materials, 4, 2114.
 
11.
Ledbetter H.M., 1982, Temperature behaviour of Young’s moduli of forty engineering alloys, Cryogenics, 22, 653-656.
 
12.
Li W., Zhang X., Kou H., Wang R., Fang D., 2016, Theoretical prediction of temperaturę dependent yield strength for metallic materials, International Journal of Mechanical Sciences, 105, 273-278.
 
13.
Li Z., Chen Q., 2002, Crack-inclusion interaction for mode I crack analyzed by Eshelby equivalent inclusion method, International Journal of Fracture, 118, 1, 29-40.
 
14.
Li Z., Li Y., Sun J., Feng X.Q., 2011, An approximate continuum theory for interaction between dislocation and inhomogeneity of any shape and properties, Journal of Applied Physics, 109, 11, 113529.
 
15.
Lv J.N., Fan X.L., Li Q., 2017, The impact of the growth of thermally grown oxide layer on the propagation of surface cracks within thermal barrier coatings, Surface and Coatings Technology, 309, 1033-1044.
 
16.
Mura T., 1987, Micromechanics of Defects in Solids, 2nd Ed., Martinus Nijhoff Publishers.
 
17.
Peng B., Feng M., Fan J., 2015, Study on the crack-inclusion interaction with coupled mechanical and thermal strains, Theoretical and Applied Fracture Mechanics, 75, 39-43.
 
18.
Shao T., Wen B., Melnik R., Yao S., Kawazoe Y., Tian Y.J., 2012, Temperature dependent elastic constants and ultimate strength of graphene and graphyne, The Journal of Chemical Physics, 137, 194901.
 
19.
Sun Y., Yu X., Jia W., Wang X., Liu M., 2018, The interaction of the mode II crack with an inhomogeneity undergoing a stress-free transformation strain, Acta Mechanica, 229, 3, 1311-1320.
 
20.
Van Goethem N., Areias P., 2012, A damage-based temperature-dependent model for ductile fracture with finite strains and configurational forces, International Journal of Fracture, 178, 215-232.
 
21.
Wei Y., Zhang L., Au F.T.K., Li J., Tsang N.C.M., 2016, Thermal creep and relaxation of prestressing steel, Construction and Building Materials, 128, 118-127.
 
22.
Withers P.J., Stobbs W.M., Pedersen O.B., 1989, The application of the Eshelby method of internal stress determination to short fiber metal matrix composites, Acta Metallurgica, 37, 11, 3061-3084 doi.org/10.1016/0001-6160(89)90341-6.
 
23.
Yang L.H., Chen Q., Li Z.H., 2004, Crack-inclusion interaction for mode II crack analyzed by Eshelby equivalent inclusion method, Engineering Fracture Mechanics, 71, 1421-1433.
 
24.
Ye D.L., 2002, Practical Handbook of Thermodynamic Data for Inorganic Compounds, 2nd Ed., Metallurgy Industry Publishing House.
 
25.
Zhang C.L., Li S., Li Z,H., 2013, The interaction of an edge dislocation with an inhomogeneity of arbitrary shape in an applied stress field, Mechanics Research Communications, 48, 19-23.
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top