On stress-dependent elastic moduli and wave speeds
MetadataShow full item record
This item's downloads: 163 (view details)
Cited 27 times in Scopus (view citations)
Destrade, M,Ogden, RW (2013) 'On stress-dependent elastic moduli and wave speeds'. Ima Journal Of Applied Mathematics, 78 :965-997.
On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent tensor of incremental elastic moduli. In considering three special cases of initial stress within the general framework, namely hydrostatic stress, uniaxial stress and planar shear stress, we then elucidate in general form the dependence of various elastic moduli on the initial stress. In each case, the effect of initial stress on the wave speed of homogeneous plane waves is studied and it is shown how various special theories from the earlier literature fit within the general framework. We then consider the situation in which the initial stress is a pre-stress associated with a finite deformation and, in particular, we discuss the specialization to the second-order theory of elasticity and highlight connections between several classical approaches to the topic, again with special reference to the influence of higher-order terms on the speed of homogeneous plane waves. Some discrepancies arising in the earlier literature are noted.
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. Please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Woodhams, Stephen G.; Chapman, Victoria; Finn, David P.; Hohmann, Andrea G.; Neugebauer, Volker (Elsevier BV, 2017-09-01)
Destrade, M.; Ogden, R. W. (Oxford University Press (OUP), 2012-03-30)On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...
Hsp27 inhibits cytochrome <i>c</i>-mediated caspase activation by sequestering both pro-caspase-3 and cytochrome <i>c</i> Concannon, C.G.; Orrenius, S.; Samali, A. (Cognizant, LLC, 2001-04-01)Mitochondrial cytochrome c release in response to pro-apoptotic signals leads to the formation of a cytochrome c/Apaf-1/procaspase-9 complex (the apoptosome) and resultant activation of caspase-9 and caspase-3. Here we ...