Analogie zwischen elastischem und plastischem Potential anisotroper Stoffe / Analogy between the Elastic and Plastic Potential of Anisotropic Materials
Open Access
- 1 May 1977
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 32 (5) , 432-436
- https://doi.org/10.1515/zna-1977-0510
Abstract
The elastic strain energy of distortion and its complementary energy of incompressible materials can be represented formally by linear combinations of partial plastic potentials of the forms Fρ = (1/ρ)Dijkl...qr σ′ij′σkl ... σqr. Likewise, it is possible to describe the elastic strain energy of deformation and its complementary energy of compressible materials formally by plastic potentials of the forms Fρ = (1/ρ)Dijkl...qr σijσkl ... σqr. In a linear theory, for example, we have F2= ½Dijkl σ′ij σ′kl for incompressible materials and F2 =½Dijkl σ′ij σ′kl for compressible materials. It is necessary to notice, that only a formal analogy exsists between the elastic and plastic potential, because the physical interpretation of these potentials is quite different.Keywords
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