Transport theorem and material derivatives in the description of crack growth process by thermomechanics

Kari Santaoja

Research output: Book/ReportReportProfessional

Abstract

This publication derives mathematical expressions for two particular purposes in the theory of fracture mechanics. The first goal lies in the traditional fracture mechanics (i.e. Griffith & Rice). For this subject an expression that can be used in the derivation of a relationship between the derivative of the potential energy with respect to the crack length is derived. Second goal is the formulation of mathematical preliminaries for an extended theory that can be used in the simulation of the (curved) crack growth process in two-dimensional materials in general. Both investigations utilize the approach in which two coordinate systems are introduced: one is a fixed frame and the other is attached to the crack tip and therefore it translates and rotates with the growing crack. The obtained equations are formulated also for the finite deformation analyses.
Original languageEnglish
Place of PublicationEspoo
PublisherVTT Technical Research Centre of Finland
Number of pages50
ISBN (Print)951-38-4650-4
Publication statusPublished - 1994
MoE publication typeNot Eligible

Publication series

NameVTT Publications
PublisherVTT
No.212
ISSN (Print)1235-0621
ISSN (Electronic)1455-0849

Fingerprint

Fracture mechanics
Crack propagation
Derivatives
Cracks
Potential energy
Crack tips

Keywords

  • transport theorem
  • fracture mechanics
  • thermomechanics
  • crack
  • crack growth
  • moving coordinates
  • cracking (fracturing)
  • crack propagation
  • mathematical models

Cite this

Santaoja, K. (1994). Transport theorem and material derivatives in the description of crack growth process by thermomechanics. Espoo: VTT Technical Research Centre of Finland. VTT Publications, No. 212
Santaoja, Kari. / Transport theorem and material derivatives in the description of crack growth process by thermomechanics. Espoo : VTT Technical Research Centre of Finland, 1994. 50 p. (VTT Publications; No. 212).
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Santaoja, K 1994, Transport theorem and material derivatives in the description of crack growth process by thermomechanics. VTT Publications, no. 212, VTT Technical Research Centre of Finland, Espoo.

Transport theorem and material derivatives in the description of crack growth process by thermomechanics. / Santaoja, Kari.

Espoo : VTT Technical Research Centre of Finland, 1994. 50 p. (VTT Publications; No. 212).

Research output: Book/ReportReportProfessional

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Santaoja K. Transport theorem and material derivatives in the description of crack growth process by thermomechanics. Espoo: VTT Technical Research Centre of Finland, 1994. 50 p. (VTT Publications; No. 212).