THIN HYPERELASTIC SHEETS OF COMPRESSIBLE MATERIAL - FIELD-EQUATIONS, AIRY STRESS FUNCTION AND AN APPLICATION IN FRACTURE-MECHANICS

Authors
TARANTINO AM
Citation
Am. Tarantino, THIN HYPERELASTIC SHEETS OF COMPRESSIBLE MATERIAL - FIELD-EQUATIONS, AIRY STRESS FUNCTION AND AN APPLICATION IN FRACTURE-MECHANICS, Journal of elasticity, 44(1), 1996, pp. 37-59
Citations number
31
Categorie Soggetti
Engineering,"Material Science
Journal title
Journal of elasticity → ACNP
ISSN journal
03743535
Volume
44
Issue
1
Year of publication
1996
Pages
37 - 59
Database
ISI
SICI code
0374-3535(1996)44:1<37:THSOCM>2.0.ZU;2-V
Abstract
The equations of the equilibrium theory of thin hyperelastic sheets un der plane stress condition and the associated Airy stress function are deduced for a compressible Mooney-Rivlin material. Such an analysis i s then employed to formulate a nonlinear fracture mechanics problem. B y means of an asymptotic procedure, the deformation and stress singula r fields in proximity of the crack-tip are computed.