A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems

Francesco Costanzo; Jay R. Walton

doi:10.1016/S0045-7825(97)00328-9

A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems

Francesco Costanzo
, Jay R. Walton

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.

Original language	English (US)
Pages (from-to)	19-48
Number of pages	30
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	162
Issue number	1-4
DOIs	https://doi.org/10.1016/S0045-7825(97)00328-9
State	Published - Aug 25 1998

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/S0045-7825(97)00328-9

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title = "A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems",

abstract = "A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.",

author = "Francesco Costanzo and Walton, \{Jay R.\}",

note = "Funding Information: The authors gratefully acknowledge the support for this research provided by the Air Force Office of Scientific Researcha nd the National Science Foundation through the AFOSR Grant No. F49620-96-l-0294 and the NSF Grant No. DMS-9106332.",

year = "1998",

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T1 - A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems

AU - Costanzo, Francesco

AU - Walton, Jay R.

N1 - Funding Information: The authors gratefully acknowledge the support for this research provided by the Air Force Office of Scientific Researcha nd the National Science Foundation through the AFOSR Grant No. F49620-96-l-0294 and the NSF Grant No. DMS-9106332.

PY - 1998/8/25

Y1 - 1998/8/25

N2 - A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.

AB - A strategy for the numerical solution of a type of integro-differential equation arising from the analysis of dynamic crack propagation problems is presented. Specifically, the problem of interest is that of a mode III crack dynamically propagating in a homogeneous linear elastic medium while the crack tip consists of a nonlinear rate dependent cohesive (or failure) zone. The mode of propagation is general, that is, not restricted to steady state or other special regimes. Furthermore, the presented solution technique is in no way restricted to mode III problems.

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UR - https://www.scopus.com/pages/publications/0032138737#tab=citedBy

U2 - 10.1016/S0045-7825(97)00328-9

DO - 10.1016/S0045-7825(97)00328-9

M3 - Article

AN - SCOPUS:0032138737

SN - 0045-7825

VL - 162

SP - 19

EP - 48

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-4

ER -

A numerical solution technique for a class of integro-differential equations in elastodynamic crack propagation problems

Abstract

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