Rectilinear crack growth in hyperelastic materials

Kari Santaoja

Research output: Book/ReportReportProfessional

1 Citation (Scopus)

Abstract

Rectilinear crack growth in hyperelastic materials is considered. The crack growth process is studied by using the well-known law of continuum mechanics; the law of kinetic energy. The key concept of the derivation is the separation of the volume of the body into two different parts denoted by omega and gamma. The latter region encloses the crack tip and it is imagined to be attached to the crack tip and therefore moving through the body with growing crack. By this procedure a line-integral called here as the J-vector is derived. It is an extension to the well-known J-integral. In contrast to the J-integral the J-vector is associated with crack growth. The quasi-static part of the J-vector is shown to be path-independent. A simple model for crack growth is introduced. A relationship between the potential energy and the J-vector is derived. It has the same form as was proposed for the relation between the potential energy and the J-integral which is often used in the verification of the J-integral for the simulation of crack growth. This interpretation is strongly criticised.
Original languageEnglish
Place of PublicationEspoo
PublisherVTT Technical Research Centre of Finland
Number of pages96
ISBN (Print)951-38-4933-3
Publication statusPublished - 1996
MoE publication typeNot Eligible

Publication series

NameVTT Publications
PublisherVTT
No.275
ISSN (Print)1235-0621
ISSN (Electronic)1455-0849

Fingerprint

J integral
cracks
crack tips
potential energy
continuum mechanics
derivation
kinetic energy
simulation

Keywords

  • fracture mechanics
  • crack growth
  • potential energy
  • stress intensity factor
  • J-integral
  • path-independency

Cite this

Santaoja, K. (1996). Rectilinear crack growth in hyperelastic materials. Espoo: VTT Technical Research Centre of Finland. VTT Publications, No. 275
Santaoja, Kari. / Rectilinear crack growth in hyperelastic materials. Espoo : VTT Technical Research Centre of Finland, 1996. 96 p. (VTT Publications; No. 275).
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Santaoja, K 1996, Rectilinear crack growth in hyperelastic materials. VTT Publications, no. 275, VTT Technical Research Centre of Finland, Espoo.

Rectilinear crack growth in hyperelastic materials. / Santaoja, Kari.

Espoo : VTT Technical Research Centre of Finland, 1996. 96 p. (VTT Publications; No. 275).

Research output: Book/ReportReportProfessional

TY - BOOK

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N2 - Rectilinear crack growth in hyperelastic materials is considered. The crack growth process is studied by using the well-known law of continuum mechanics; the law of kinetic energy. The key concept of the derivation is the separation of the volume of the body into two different parts denoted by omega and gamma. The latter region encloses the crack tip and it is imagined to be attached to the crack tip and therefore moving through the body with growing crack. By this procedure a line-integral called here as the J-vector is derived. It is an extension to the well-known J-integral. In contrast to the J-integral the J-vector is associated with crack growth. The quasi-static part of the J-vector is shown to be path-independent. A simple model for crack growth is introduced. A relationship between the potential energy and the J-vector is derived. It has the same form as was proposed for the relation between the potential energy and the J-integral which is often used in the verification of the J-integral for the simulation of crack growth. This interpretation is strongly criticised.

AB - Rectilinear crack growth in hyperelastic materials is considered. The crack growth process is studied by using the well-known law of continuum mechanics; the law of kinetic energy. The key concept of the derivation is the separation of the volume of the body into two different parts denoted by omega and gamma. The latter region encloses the crack tip and it is imagined to be attached to the crack tip and therefore moving through the body with growing crack. By this procedure a line-integral called here as the J-vector is derived. It is an extension to the well-known J-integral. In contrast to the J-integral the J-vector is associated with crack growth. The quasi-static part of the J-vector is shown to be path-independent. A simple model for crack growth is introduced. A relationship between the potential energy and the J-vector is derived. It has the same form as was proposed for the relation between the potential energy and the J-integral which is often used in the verification of the J-integral for the simulation of crack growth. This interpretation is strongly criticised.

KW - fracture mechanics

KW - crack growth

KW - potential energy

KW - stress intensity factor

KW - J-integral

KW - path-independency

M3 - Report

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BT - Rectilinear crack growth in hyperelastic materials

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Santaoja K. Rectilinear crack growth in hyperelastic materials. Espoo: VTT Technical Research Centre of Finland, 1996. 96 p. (VTT Publications; No. 275).