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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Veröffentlicht in:	International journal of fracture 2010-11, Vol.166 (1-2), p.53-60
Hauptverfasser:	Kienzler, R., Rohde, L., Schröder, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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