The Relaxed Energy Density for Isotropic Elastic Membranes
- 1 January 1986
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 36 (1) , 85-99
- https://doi.org/10.1093/imamat/36.1.85
Abstract
Tension field theory can be incorporated into the ordinary theory of elastic membranes merely by replacing the strain energy density by a suitable relaxed energy density W. When W is used as the energy density, no compressive stress can appear in the solution of a membrane problem, and in certain regions of strain space the stress is a uniaxial tension. The properties of W imply a number of other interesting features of the stress-strain relations.Keywords
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