Open Access Open Access  Restricted Access Subscription or Fee Access

Fracture and crack propagations in plates - A review

Amit Kumar Gupta, Jyoti Vimal, Vedansh Chaturvedi

Abstract


The development and applications of the boundary based finite element technique for fractured mechanics analysis are reviewed. Also, we used the complex variable method and least boundary allocation method. In this method we investigation of the 2-D isotropic, anisotropic and orthotropic materials for makes different types of plate such like this rectangular and circular with various cracks and hole cut-outs and these plates are used different types of bi-axial and uni-axial loading. When applied to 2-D linear fracture mechanics, any types of stresses are symbolized analytically with no local refinement, unique elements and improvement functions. Coupling process with the extensive finite element technique, meshless process and boundary element technique to handle changes in the crack morphology have been recognized. The outcomes of the review for this in efficient framework for fracture mechanics analysis. Examples of applications are provided to express their feasibility. This review paper is meant for the faster comprehensive understanding of this research area.

Full Text:

PDF

References


V. Raghavan. Material Science and Engineering. New Delhi: Prentice-Hall of India Private Limited; 2003.

G.R. Irwin, I. Fracture. In: Handbuch der Physik VI. S. Flugge (ed.), NY: Springer; 1958, 558–90p.

C.E. Inglis. Stresses in a plate due to the presence of cracks and sharp corners, Trans Inst Nav Archit. 1913; 55: 219–41p.

A.A. Griffith. The phenomena of ruptures and flows in solids, Philos Trans R Soc. 1921; 221: 163–98p.

H.M. Westergaard. Bearing pressures and cracks, J Appl Mech. 1939; G1: A49–53p.

J.T. Barnby. Contributed by the Department of Metallurgy, The University of Aston, Birmingham, UK, 1971.

D. Broek. Elementary Engineering Fracture Mechanics. 4th Edn. Boston: Kluwer Academic; 1986.

K. Hellan. Introduction to Fracture Mechanics. New York: McGraw-Hill; 1984.

R.W. Hertzberg. Deformation and Fracture Mechanics of Engineering Materials. 3rd Edn., NY: Wiley; 1989.

S.W. Ma, L.X. Zhang. A new solution of an eccentric crack off the center line of a rectangular sheet for mode III, Eng Fract Mech. 1991; 40(1): 1–7p.

C.W. Woo, L.W. Samson Chan. Boundary collocation method for analyzing perforated plate problems, Eng Fract Mech. 1992; 43(5): 757–68p.

P. Sollero, M.H. Aliabadi. Fracture mechanics analysis of anisotropic plates by the boundary element method, Int J Fract. 1993; 64: 269–84p.

C. Hwe, C.Y., Liao. A special boundary element for the problems of cracks and inclusions, Comput Struct. 1994; 51(1): 23–31p.

P. Sollero, M.H. Aliabadi. Anisotropic analysis of cracks emanating from circular holes in boundary element method, Eng Fract Mech. 1994; 49(2): 213–24p.

X. Xiwu, S. Liangxin, F. Xuqi. Stress concentration of finite composite laminates with elliptical hole, Comput Struct. 1995; 57(I): 29–34p.

J.F. Dwyer, E. Pan. Edge function analysis of stress intensity factors in cracked anisotropic plates, Int J Fract. 1995; 72: 327–42p.

P. Sollero, M.H. Aliabadi. Anisotropic analysis of cracks in composite laminates using the dual boundary element method, Compos Struct. 1995; 31: 229–33p.

X. Xiwu, S. Liangxin, F. Xuqi. Stress concentration of finite composite laminates by multiple elliptical hole, Int J Solids Struct. 1995; 32(20): 3001–14p.

X.L. Gao. A general solution of an infinite elastic plate with an elliptic hole under biaxial loading, Int J Pres Ves Piping. 1996; 67: 95–104p.

E. Pan, B. Amadei. Fracture mechanics analysis of cracked 2-D anisotropic media with a new formulation of the boundary element method, Int J Fract. 1996; 77: 161–74p.

M.D. Motok. Stress concentration on the contour of a plate opening of an arbitrary corner radius of curvature, Marine Struct. 1997; 10: 1–12p.

E. Pan. A general boundary element analysis of 2D linear elastic fracture mechanics, Int J Fract. 1997; 88: 41–59p.

X. Zheng, X. Xu. Stress analysis of Finite composite laminates with elliptical inclusion, Comput Struct. 1999; 70: 357–61p.

C. Hwu, Y.C. Liang. Evaluation of stress concentration factors and stress intensity factors from remote boundary data, Int J Solids Struct. 2000; 37: 5957–72p.

V.G. Ukadgaonker, D.K.N. Rao. A general solution for stresses around holes in symmetric laminates under inplane loading, Compos Struct. 2000; 49: 339–54p.

H.C. Wu, B. Mu. On stress concentrations for isotropic/orthotropic plates and cylinders with a circular hole, Compos: Part B. 2003; 34: 127–34p.

V.G. Ukadgaonker, V. Kakhandki. Stress analysis for an orthotropic plate with an irregular shaped hole for different in-plane loading conditions, Compos Struct. 2005; 70: 255–74p.

M. Souiyah, A. Muchtar, A. Alshoaibi, A.K. Ariffin. Finite element analysis of the crack propagation for solid materials, Am J Appl Sci. 2009; 6(7): 1396–402p.

J. Rezaeepazhand, M. Jafari. Stress concentration in metallic plates with special shaped cutout, Int J Mech Sci. 2010; 52: 96–102p.

M. Batista. On the stress concentration around a hole in an infinite plate subject to a uniform load at infinity, Int J Mech Sci. 2011; 53: 254–61p.

D.S. Sharma. Stress distribution around polygonal holes, Int J Mech Sci. 2012; 65: 115–24p.

Z. Pan, Y. Cheng, J. Liu. Stress analysis of a finite plate with a rectangular hole subjected to uniaxial tension using modified stress functions, Int J Mech Sci. 2013; 75: 265–77p.

J.P. Singh, D. Gunwant. Stress and displacement analysis of a rectangular plate with central elliptical hole, Int J Eng Innov Technol (IJEIT). 2013; 3(3).

M. Treifi, S.O. Oyadiji. Evaluation of mode III stress intensity factors for bi-material notched bodies using the fractal-like finite element method, Comput Struct 2013.

D.S. Sharma. Moment distribution around polygonal holes in infinite plate, Int J Mech Sci. 2014; 78: 177–82p.

S. Dhanjal, R. Arora. Stress analysis of a rectangular plate with circular hole using three dimensional finite element model, IJEBEA. 2015; 15–235p.

M.M. Chauhan, D.S. Sharma. Stresses in finite anisotropic plate weakened by rectangular hole, Int J Mech Sci. 2015; 101-102: 272–9p.

B. Ks, I. Vimalkannan, A. pradeep, P. Muthukumar. SCF On isotropic rectangular plate with central circular hole using finite element analysis, 2015; 3(5). ISSN: 2320-2092.

M.A. Komur, M. Sonmez. Elastic buckling behaviour of rectangular plates with holes subjected to partial edge loading, J Construct Steel Res. 2015; 112: 54–60p.

I.A. Alatawi, J. Trevelyan. A direct evaluation of stress intensity factors using the extended dual boundary element method, Eng Anal Bound Elem. 2015; 52: 56–63p.

D.S. Sharma. Stresses around polygonal hole in an infinite laminated composite plate, Eur J Mech A/Solids. 2015; 54: 44–52p.

P. Pawar, R. Ballav, A. Kumar. Finite element method analysis of rectangular plate with circular hole using ANSYS, Int J Chem Sci. 2016; 14(4): 2787–88p.

A.S. Shaik, I.M. Mirzanza. Stress concentration of rectangular plate with a hole made with composite material using finite element analysis, IOSR J Mech Civil Eng. 2016; 13(4 Ver. VII): 01–5p. e-ISSN: 2278-1684, p-ISSN: 2320-334X.

S.A.P. Dharshani, A.M. Prasad, R. Sundaravadivela. Analysis of GFRP stiffened composite plates with rectangular cutout, Compos Struct. 2016. doi: http://dx.doi.org/10.1016/j.compstruct.2016.10.054.

D.S. Kurankov, D.V. Esipov, V.N. Lapin, S.G. Cherny. Modification of the boundary element method for computation of three-dimensional fields of strain–stress state of cavities with cracks, Eng Fract Mech. 2016; 153: 302–18p.

P.S.S. Khan, A. Shaik, N. Charishma. Design and fracture analysis of thin plate, IJEDR. 2016; 4(1). ISSN: 2321-9939.

G. Tadepalli, M. Vineela, T.A.J. Reddy. Analysis of stress concentration in isotropic and orthotropic plates with hole under uniformly distributed loading conditions, ICMPC. 2017; 740–45p.

C. Hwu, S.T. Huang, C.C. Li. Boundary-based finite element method for two-dimensional anisotropic elastic solids with multiple holes and cracks, Eng Anal Boundary Elem. 2017; 79: 13–22p.

M.L.P. Kishor, S. Bezawada, B.C.R.K. Reddy. Modal analysis of rectangular plate with central hole subjected to various end conditions, ICMPC. 2017; 1653–61p.

Khechai, A. Tati, B. Guerira, A. Guettala, P.M. Mohite. Strength degradation and stress analysis of composite plates with circular, square and rectangular notches using digital image, Compos Struct. 2017. doi: https://doi.org/10.1016/j.compstruct.2017.11.060.

S. Bhowmick, G.R. Liu. On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order, Eng Anal Boundary Elem. 2017; 1–18p.


Refbacks

  • There are currently no refbacks.