ARTICLE
Distribution of crack-tip stresses during fatigue loading with an overload event: role of initial crack-tip shape, plastic compressibility and material softening
 
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Indian Institute of Technology (BHU) Varanasi, Department of Mechanical Engineering, Varanasi, India
CORRESPONDING AUTHOR
Debashis Khan   

Mechanical Engineering, Indian Institute of Technology (BHU) Varanasi, Department of Mechanical Engineering, IIT (BHU) va, 221005, Varanasi, India
Submission date: 2020-07-24
Final revision date: 2021-01-16
Acceptance date: 2021-01-21
Online publication date: 2021-03-02
Publication date: 2021-04-15
 
Journal of Theoretical and Applied Mechanics 2021;59(2):239–250
 
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ABSTRACT
This paper deals with the influence of initial crack-tip shape, plastic compressibility and material or strain softening on near-tip stress-strain fields for mode I crack when subjected to fatigue loading with an overload event under plane strain and small scale yielding conditions. A finite strain elastic-viscoplastic constitutive equation with a hardening-softening- -hardening hardness function is taken up for simulation. For comparison, a bilinear hardening hardness function is also considered. It has been observed that the near-tip crack opening stress yy, crack growth stress xx, and hydrostatic stresses are noticeably controlled by the initial crack tip shape, plastic compressibility, material softening as well as the overload event. The distribution pattern of different stresses for a plastically compressible hardening- -softening-hardening solid appears to be very unusual and advantageous as compared to those of traditional materials. Therefore, the present numerical results may guide material scientists/engineers to understand the near-tip stress-strain fields and growth of a crack in a better way for plastically compressible solids, and thus may help to develop new materials with improved properties.
 
REFERENCES (13)
1.
Alam M.I., Khan D., Mittal Y., Kumar S., 2019, Effect of crack tip shape on near-tip deformation and fields in plastically compressible solids, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, 10, 441-1-15.
 
2.
Hutchens S.B., Needleman A., Greer J.R., 2011, Analysis of uniaxial compression of vertically aligned carbon nanotubes, Journal of the Mechanics and Physics of Solids, 59, 10, 2227-2237.
 
3.
Khan D., Singh S., Needleman A., 2017, Finite deformation analysis of crack tip fields in plastically compressible hardening-softening-hardening solids, Acta Mechanica Sinica, 33, 1, 148-158.
 
4.
Liu N., Drugan W.J., 1993, Finite deformation finite element analyses of tensile growing crack fields in elastic-plastic material, International Journal of Fracture, 61, 3, 189-210.
 
5.
Mohan N., Cheng J., Greer J.R., Needleman A., 2013, Uniaxial tension of a class of compressible solids with plastic non-normality, Journal of Applied Mechanics, 80, 4, 040912-1-8.
 
6.
Needleman A., Hutchens S.B., Mohan N., Greer J. R., 2012, Deformation of plastically compressible hardening-softening-hardening solids, Acta Mechanica Sinica, 28, 4, 1115-1124.
 
7.
Peirce D., Shih C.F., Needleman„ A., 1984, A tangent modulus method for rate dependent solids, Computers and Structures, 18, 5, 875-887.
 
8.
Rice J.R., 1968, A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of Applied Mechanics, 35, 2, 379-386.
 
9.
Rozumek D., Macha E., Lazzarin P., Meneghetti G., 2006, Influence of notch (tip) radius on fatigue crack growth rate, Journal of Theoretical and Applied Mechanics, 44, 1, 127-137.
 
10.
Sadananda K., Vasudevan A.K., Holtz R.L., Lee E.U., 1999, Analysis of overload effects and related phenomena, International Journal of Fracture, 21, S233-46.
 
11.
Singh S., Khan D., 2018, On fatigue crack growth in plastically compressible hardening and hardening-softening-hardening solids using crack tip blunting, International Journal of Fracture, 213, 2, 139-155.
 
12.
Steuwer A., Rahman M., Shterenlikht A., Fitzpatrick M.E., Edwards L., Withers P.J., 2010, The evolution of crack-tip stresses during a fatigue overload event, Acta Materialia, 58, 4039-4052.
 
13.
Toribio T., Kharin V., 2009, Finite-deformation analysis of the crack-tip fields under cyclic loading, International Journal of Solids and Structures, 46, 9, 1937-1952.
 
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