Large Elastic Deformations of Isotropic Materials. I. Fundamental Concepts
The mathematical theory of small elastic deformations has been developed to a high degree of sophistication on certain fundamental assumptions regarding the stress-strain relationships which are obeyed by the materials considered. The relationships taken are, in effect, a generalization of Hooke’s law—ut tensio, sic vis. The justification for these assumptions lies in the widespread agreement of experiment with the predictions of the theory and in the interpretation of the elastic behaviour of the materials in terms of their known structure. The same factors have contributed to our appreciation of the limitations of these assumptions.
KeywordsIsotropic Material Simple Shear Incompressible Material Undeformed State Homogeneous Strain
Unable to display preview. Download preview PDF.
- Brillouin, L. 1925 Ann. Phys., Paris, 3, 251–298.Google Scholar
- Cauchy, A. L. 1827 Exercices de Mathématiques, 2, 61–69.Google Scholar
- Love, A. E. H. 1927 The mathematical theory of elasticity, 4th ed. Gamb. Univ. Press.Google Scholar
- Meyer, K. H., von Susich, G. & Valko, E. 1932 Kolloidzschr. 59, 208.Google Scholar