Investigation of crack opening in isotropic strain hardening material

Pustaić, Dragan and Lovrenić-Jugović, Martina and Wolf, Hinko (2010) Investigation of crack opening in isotropic strain hardening material. = Investigation of crack opening in isotropic strain hardening material. In: 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, 30.08.-03.09. 2010., Dresden; Germany.

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Abstract

The thin infinite plate with an embedded straight crack of a length 2a is considered. The plate is uniaxially loaded in its plane with uniformly distributed continuous load in a direction perpendicular to the crack plane. The plate material is ductile so the small plastic zones around the crack tips are formed. Also, it is assumed that the plate material possesses a property of isotropic strain hardening. The strain hardening of the material is non-linear and it obeys the Ramberg-Osgood relation. The different stages of strain hardening of plate material are modeled by varying the parameters yy∞∞=α and n in the Ramberg-Osgood's analytical expression. So, it is assumed that the strain hardening exponent n takes the values n = 3, 5, 7, 10, 25 and ∞. The stress intensity factor (SIFof the cohesive stresses coh(pKar + is determined by means of Green's functions method. The crack tip and crack centre opening, or any arbitrary point at the crack surface, is determined by means of the displacement field of the points lying on the crack surface. The problem is formulated fully exactly and its solution is looked for by means of commercial software "Mathematica". If it is assumed an appearance of small plastic zone around crack tip then it is possible to find an exact analytical solution expressed in a form of special gamma-functions . If the assumptions about small plastic zone are not introduced, then it is possible to give the solution by means of special hypergeometric functions.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Analytical expressions; Arbitrary points; Cohesive stress; Commercial software; Crack opening; Crack plane; Crack surfaces; Displacement field; Exact analytical solutions; Gamma function; Green's functions method; Hardening materials; Hypergeometric functions; Infinite plate; Mathematica; Plastic zones; Ramberg-osgood; Straight crack; Strain-hardening exponent; Crack tips; Cracks; Fracture; Fracture mechanics; Materials; Strain hardening; Stress intensity factors; Plates (structural components)
Subjects: TECHNICAL SCIENCE
Divisions: 200 Department of Engineering Mechanics > 210 Chair of Mechanics and Strength of Materials
200 Department of Engineering Mechanics > 230 Chair of Mechanical Systems Dynamics
Indexed in Web of Science: No
Indexed in Current Contents: No
Citations SCOPUS: 0 (13.12.2016.)
Date Deposited: 16 Apr 2015 08:29
Last Modified: 13 Dec 2016 08:10
URI: http://repozitorij.fsb.hr/id/eprint/3612

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