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ANALYSIS OF STEADY STATE CRACK PROPA...

WU, KUANG-CHONG.

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ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS.

Record Type:	Electronic resources : Monograph/item
Title/Author:	ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS./
Author:	WU, KUANG-CHONG.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 1985,
Description:	157 p.
Notes:	Source: Dissertations Abstracts International, Volume: 46-07, Section: B.
Contained By:	Dissertations Abstracts International46-07B.
Subject:	Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8516923

ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS.
WU, KUANG-CHONG.

ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS. - Ann Arbor : ProQuest Dissertations & Theses, 1985 - 157 p.

Source: Dissertations Abstracts International, Volume: 46-07, Section: B.

Thesis (Ph.D.)--Cornell University, 1985.

This item must not be sold to any third party vendors.

An analysis is presented for the steady state crack propagation in ductile materials. The analysis is made on the basis of the theory of crack extension rates for ductile materials proposed by Hart. The work done by Hart for Mode III cracks is expanded. The treatment is extended to Mode I and Mode II cracks. Integral representations of stress equilibrium for all three loading modes are derived by the method of fictitious body force. The stress equations consist of three terms. The first term is the applied stress represented by the elastic singular stress under the small scale yielding assumption. The second term is the self-stress induced by the plastic flow in the creep zone and the third term is a residual stress due to the accumulated plastic strain in the wake. It is shown that the local stress intensity factor K can be distinguished from the applied stress Intensity factor K(,A) by a quantity K(,P) that characterizes the stress relief effect of the plastic flow. The equations of energy balance of the crack systems are derived by employing the J('')-integral. The J('')-integral differs from the J-integral of Rice in using the elastic strain energy rather than the total strain energy for inelastic materials. The equations show the energy balance between the mechanical energy released by the remote load, the reversible work of crack extension, the energy dissipated by the plastic flow, and the stored elastic energy in the wake. The stress equations are solved for incompressible visco-plastic materials with creep exponent M = 1,2. The numerical results are expressed in terms of K(,A)/K as a function of dimensionless parameters f and M. f is a combination of K and the crack extension rate v, in addition to other material properties. With the numerical results and a kinetic law of crack extension v = v(K), the steady state curves of v as a function of K(,A) are constructed. The steady state curves exhibit both the threshold and critical behavior due to instability limits as predicted by Hart with singular stress approximation. The numerical results obtained in this study indicate more intense distinctions of stability-instability than those deduced by Hart.Subjects--Topical Terms:

525881
Mechanics.

ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS.
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100 1 $a WU, KUANG-CHONG. $3 3434404
245 1 0 $a ANALYSIS OF STEADY STATE CRACK PROPAGATION IN DUCTILE MATERIALS.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 1985
300 $a 157 p.
500 $a Source: Dissertations Abstracts International, Volume: 46-07, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
502 $a Thesis (Ph.D.)--Cornell University, 1985.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a An analysis is presented for the steady state crack propagation in ductile materials. The analysis is made on the basis of the theory of crack extension rates for ductile materials proposed by Hart. The work done by Hart for Mode III cracks is expanded. The treatment is extended to Mode I and Mode II cracks. Integral representations of stress equilibrium for all three loading modes are derived by the method of fictitious body force. The stress equations consist of three terms. The first term is the applied stress represented by the elastic singular stress under the small scale yielding assumption. The second term is the self-stress induced by the plastic flow in the creep zone and the third term is a residual stress due to the accumulated plastic strain in the wake. It is shown that the local stress intensity factor K can be distinguished from the applied stress Intensity factor K(,A) by a quantity K(,P) that characterizes the stress relief effect of the plastic flow. The equations of energy balance of the crack systems are derived by employing the J('')-integral. The J('')-integral differs from the J-integral of Rice in using the elastic strain energy rather than the total strain energy for inelastic materials. The equations show the energy balance between the mechanical energy released by the remote load, the reversible work of crack extension, the energy dissipated by the plastic flow, and the stored elastic energy in the wake. The stress equations are solved for incompressible visco-plastic materials with creep exponent M = 1,2. The numerical results are expressed in terms of K(,A)/K as a function of dimensionless parameters f and M. f is a combination of K and the crack extension rate v, in addition to other material properties. With the numerical results and a kinetic law of crack extension v = v(K), the steady state curves of v as a function of K(,A) are constructed. The steady state curves exhibit both the threshold and critical behavior due to instability limits as predicted by Hart with singular stress approximation. The numerical results obtained in this study indicate more intense distinctions of stability-instability than those deduced by Hart.
590 $a School code: 0058.
650 4 $a Mechanics. $3 525881
690 $a 0346
710 2 $a Cornell University. $3 530586
773 0 $t Dissertations Abstracts International $g 46-07B.
790 $a 0058
791 $a Ph.D.
792 $a 1985
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8516923