On path-independent integrals within the linear theory of elasticity

Conservation laws and associated path-independent integrals play a dominant role in field theories ranging from theoretical physics to applied engineering. Especially, material conservation laws are widely used to assess structural components with flaws like defects or cracks. Within the linear theo...

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Bibliographic Details
Published inInternational journal of fracture Vol. 166; no. 1-2; pp. 53 - 60
Main Authors Kienzler, R., Rohde, L., Schröder, R.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.11.2010
Springer Nature B.V
Subjects
Automotive Engineering
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Conservation laws
Cracks
Defects
Elasticity
Materials Science
Mechanical Engineering
Original Paper
Path independent integral
Theoretical physics
Neutral-action method
Path-independent integrals
Stress-intensity factors
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Summary:Conservation laws and associated path-independent integrals play a dominant role in field theories ranging from theoretical physics to applied engineering. Especially, material conservation laws are widely used to assess structural components with flaws like defects or cracks. Within the linear theory of elasticity, a complete set of conservation laws are derived by employing the so-called Neutral-Action method. An illustrative application is discussed.
ISSN:0376-9429
1573-2673
DOI:10.1007/s10704-010-9482-9