Abstract

The equations relating stress rates to strain rates are formulated and conditions of stable deformation of isotropic hyperelastic bodies are described. Stress–strain relations are presented for pure shear and uniaxial and axisymmetric loading of a material with a constitutive function obtained by generalization of the constitutive function of Hooke's law. In the case of small strains, the diagrams virtually coincide with the linear diagrams following from Hooke's law. Ramification of solutions and transition to declining diagrams begin at the same time, irrespective of values of the constants of the material, when large stresses of the order of the shear modulus are reached.

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 call

Disclaimer: 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.