The Incremental Shear Modulus in an Incompressible Elastic Material.

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Abstract:

The incremental shear modulus is calculated for infinitesimal shear of an incompressible isotropic elastic material in a state of pure homogeneous deformation. Necessary and sufficient conditions that it be positive are obtained. These conditions are related to the Hadamard conditions for propagation of a wave of infinitesimal amplitude in the deformed material. Author

Author(s):
Sawyers, K. N. ; Rivlin, R. S.
Author Organization(s):
LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
Descriptive Note:
Technical rept.,
Pagination:
0020

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CAM-100-32
Contract/Grant Number(s):
N00014-76-C-0235
 Subject Terms
Communities of Interest:
Air Platforms
Descriptor(s):
*MATHEMATICAL MODELS, *DEFORMATION, *SHEAR STRENGTH, SHEAR PROPERTIES, STABILITY, MATERIALS, ELASTIC PROPERTIES, WAVE PROPAGATION
Field(s)/Group(s):
Numerical Mathematics, Mechanics
Keyword(s):
Finite elasticity, Hadamard criterion, Shear modulus
Report Date:
1978 Sep 01