Tensor Function Theory and Classical Plastic Potential
Part of the International Centre for Mechanical Sciences book series (CISM, volume 292)
In the theory of elasticity an elastic potential (strain-energy function W) is assumed, from which the constitutive equations can be derived by using the relation σij = ∂W/∂εij, where are appropriately defined stress and strain tensors, respectively. In the isotropic special case, when the elastic constitutive equation can be represented as an isotropic tensor functionthe elastic potential is a scalar-valued function only of the strain tensor and can be represented in the form W = W(S1, S2 S3), where S1, S2 S3 are the basic invariants of the strain tensor (finite or infinitesimal strain tensor). In  it has been shown in detail that the scalar coefficients in (1) can be expressed through the elastic potential:
KeywordsConstitutive Equation Flow Rule Elastic Potential Tensor Function Integrity Basis
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 2.BETTEN, J., The Classical Plastic Potential Theory in Comparison with the Tensor Function Theory, International Symposium PLASTICITY TODAY on Current Trends and Results in Plasticity, Udine 1983, published in a special Olszak Memorial volume of the Engineering Fracture Mechanics 21 (1985): 641–652.Google Scholar
- 5.BETTEN, J., On the Representation of the Plastic Potential of Anisotropic Solids, Colloque International du CNRS n° 319, Comportement plastique des solides anisotropes, Grenoble 1981, published in the proceedings: Plastic Behavior of Anisotropic Solids (ed. J.P. Boehler) CNRS, Paris 1985, 213–228.Google Scholar
© Springer-Verlag Wien 1987