Abstract
In 1984, Simo and Pister [1] demonstrated that the widely-used hypoelastic equation fails to be exactly integrable to deliver finite elastic relations for several well-known objective stress rates, including Jaumann rate, Green-Naghdi rate, Truesdell rate and Lie derivative (upper Oldroyd rate), etc. Successfully treating complicated systems of nonlinear partial differential equations in the Cauchy stress, they proved that Bernstein’s integrability conditions for hypoelastic rate equations could not be fulfilled for each of the foregoing classical stress rates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
